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JP6834670B2 - Magnetic property measurement system and magnetic property measurement method - Google Patents

Magnetic property measurement system and magnetic property measurement method Download PDF

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JP6834670B2
JP6834670B2 JP2017060857A JP2017060857A JP6834670B2 JP 6834670 B2 JP6834670 B2 JP 6834670B2 JP 2017060857 A JP2017060857 A JP 2017060857A JP 2017060857 A JP2017060857 A JP 2017060857A JP 6834670 B2 JP6834670 B2 JP 6834670B2
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保郎 大杉
保郎 大杉
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Description

本発明は、磁気特性測定システムおよび磁気特性測定方法に関し、特に、磁性材料の磁気特性を測定するために用いて好適なものである。 The present invention relates to a magnetic property measuring system and a magnetic property measuring method, and is particularly suitable for use in measuring the magnetic property of a magnetic material.

電気機器の鉄心(コア)に使用される電磁鋼板等の磁性材料を設計するため等の目的で、磁性材料の磁気特性(例えば、磁束密度、磁界強度、および鉄損)を測定することが行われている。非特許文献1、2には、電磁鋼板からなる試験片に発生する磁束密度の波形が正弦波に近くなる条件で試験片の磁気特性を測定することが記載されている。 It is possible to measure the magnetic properties (for example, magnetic flux density, magnetic field strength, and iron loss) of a magnetic material for the purpose of designing a magnetic material such as an electromagnetic steel plate used for the core of an electric device. It has been broken. Non-Patent Documents 1 and 2 describe that the magnetic characteristics of a test piece are measured under the condition that the waveform of the magnetic flux density generated in the test piece made of an electromagnetic steel plate is close to a sine wave.

しかしながら、実際の電気機器の磁性材料に発生する磁束密度の波形は、高調波成分を含む波形となっており、正弦波にならない。例えば、インバータで駆動されるモータにおいては、モータに使用されるコア(ステータコアおよびロータコア)の形状、モータの極数、およびインバータの駆動条件等に起因して、コアに発生する磁束密度の波形は、高調波成分を含む複雑な波形になる。 However, the waveform of the magnetic flux density generated in the magnetic material of an actual electric device is a waveform including a harmonic component and does not become a sine wave. For example, in a motor driven by an inverter, the waveform of the magnetic flux density generated in the core due to the shape of the core (stator core and rotor core) used in the motor, the number of poles of the motor, the driving conditions of the inverter, etc. , It becomes a complicated waveform including harmonic components.

そこで、目標磁束密度が正弦波以外であっても、当該目標磁束密度に近い条件で磁性材料を励磁する技術として、特許文献1に記載の技術がある。特許文献1では、磁性材料の磁束密度を測定し、測定した磁性材料の磁束密度に対応する磁界強度を導出する。そして、導出した磁界強度と、目標磁界強度との誤差の割合に、目標励磁電圧を乗算した値を、励磁電圧の修正量とする。また、磁性材料の磁束密度と目標磁束密度とを比較した結果に基づいて磁性材料の磁束密度が収束しているか否かを判定する。この判定の結果、磁性材料の磁束密度が収束していない場合に、前記修正量を用いて更新された目標励磁電圧で磁性材料を励磁する。このような動作を、磁性材料の磁束密度が収束するまで繰り返し行う。 Therefore, there is a technique described in Patent Document 1 as a technique for exciting a magnetic material under conditions close to the target magnetic flux density even if the target magnetic flux density is other than a sine wave. In Patent Document 1, the magnetic flux density of the magnetic material is measured, and the magnetic field strength corresponding to the measured magnetic flux density of the magnetic material is derived. Then, the value obtained by multiplying the ratio of the error between the derived magnetic field strength and the target magnetic field strength by the target exciting voltage is used as the correction amount of the exciting voltage. Further, it is determined whether or not the magnetic flux density of the magnetic material has converged based on the result of comparing the magnetic flux density of the magnetic material with the target magnetic flux density. As a result of this determination, when the magnetic flux density of the magnetic material has not converged, the magnetic material is excited with the target exciting voltage updated using the correction amount. Such an operation is repeated until the magnetic flux density of the magnetic material converges.

特開2016−114387号公報Japanese Unexamined Patent Publication No. 2016-114387

JIS C 2550−1:2011「電磁鋼帯試験方法 第1部 エプスタイン試験器による電磁鋼帯の磁気特性の測定方法」JIS C 2550-1: 2011 "Method for measuring electrical steel strips Part 1 Method for measuring magnetic properties of electrical steel strips with an Epstein tester" JIS C 2556:2015「単板試験器による電磁鋼帯の磁気特性の測定方法」JIS C 2556: 2015 "Measuring method of magnetic properties of electrical steel strips with a single plate tester" 中田高義、高橋則雄著、「電気工学の有限要素法 第2版」、森北出版株式会社、1986年4月Takayoshi Nakata, Norio Takahashi, "Limited Element Method of Electrical Engineering, 2nd Edition", Morikita Publishing Co., Ltd., April 1986 JIS C 2552:2014「無方向性電磁鋼帯」JIS C 2552: 2014 "Directional electromagnetic steel strip"

しかしながら、特許文献1に記載の技術では、磁性材料の磁束密度と、目標磁束密度とを比較して、磁束密度が収束しているか否かを判定する。従って、磁性材料の磁気特性を正確に導出することができない慮がある(この点の詳細については、図1〜図3を参照しながら後述する)。また、特許文献1に記載の技術では、磁束密度と目標磁束密度との差の絶対値を用いた誤差率の、一周期にわたる全てのサンプリングタイミングにおける算術平均値が閾値以下である場合に、磁性材料の磁束密度が収束したと判定する。この場合、磁束密度と目標磁束密度との差の絶対値が平均化されるため、目標磁束密度の波形の形によっては、磁束密度を高精度に目標磁束密度に近づけることが容易ではない。このため、磁性材料に発生する磁束密度が正弦波でない場合に、当該磁性材料の鉄損を精度よく導出することができない慮がある。 However, in the technique described in Patent Document 1, the magnetic flux density of the magnetic material is compared with the target magnetic flux density to determine whether or not the magnetic flux density has converged. Therefore, there is a concern that the magnetic properties of the magnetic material cannot be accurately derived (details of this point will be described later with reference to FIGS. 1 to 3). Further, in the technique described in Patent Document 1, when the arithmetic mean value of the error rate using the absolute value of the difference between the magnetic flux density and the target magnetic flux density at all sampling timings over one cycle is equal to or less than the threshold value, the magnetism It is determined that the magnetic flux density of the material has converged. In this case, since the absolute value of the difference between the magnetic flux density and the target magnetic flux density is averaged, it is not easy to bring the magnetic flux density close to the target magnetic flux density with high accuracy depending on the shape of the waveform of the target magnetic flux density. Therefore, when the magnetic flux density generated in the magnetic material is not a sine wave, there is a concern that the iron loss of the magnetic material cannot be derived accurately.

本発明は、以上のような問題点に鑑みてなされたものであり、磁性材料に発生する磁束密度が正弦波でない場合でも当該磁性材料の鉄損を精度よく導出することができるようにすることを目的とする。 The present invention has been made in view of the above problems, and makes it possible to accurately derive the iron loss of the magnetic material even when the magnetic flux density generated in the magnetic material is not a sine wave. With the goal.

本発明の磁気特性測定システムは、磁性材料からなる測定試料を励磁するための励磁コイルに励磁電圧を印加する印加手段と、前記測定試料が励磁されることにより第1のコイルに誘起される誘起電圧を検出する第1の検出手段と、前記印加手段により前記励磁コイルに前記励磁電圧が印加されることにより前記励磁コイルに流れる励磁電流を検出する第2の検出手段と、前記誘起電圧の目標波形を取得する取得手段と、前記第1の検出手段により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定する判定手段と、前記判定手段により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束していないと判定されると、前記第1の検出手段により検出された前記誘起電圧の測定波形と、前記誘起電圧の目標波形との差に基づいて、前記励磁電圧を修正する修正手段と、前記判定手段により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束したと判定されると、前記第1の検出手段により検出された前記誘起電圧と、前記第2の検出手段により検出された前記励磁電流とに基づいて前記測定試料の鉄損を導出する鉄損導出手段と、を有し、前記印加手段は、前記修正手段により前記励磁電圧が修正されると、当該修正された前記励磁電圧を前記励磁コイルに印加し、前記判定手段により、前記第1の検出手段により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したと判定されるまで、前記修正手段による前記励磁電圧の修正と、前記印加手段による前記励磁電圧の印加と、前記第1の検出手段による前記誘起電圧の検出とが繰り返し行われ、前記判定手段は、前記誘起電圧の測定波形および前記誘起電圧の目標波形の相互に対応する時刻における前記誘起電圧の値の差の絶対値の一周期分の積算値、または、前記誘起電圧の測定波形に含まれる複数の周波数成分および前記誘起電圧の目標波形に含まれる複数の周波数成分の同一の周波数成分における振幅の差に基づいて、前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定することを特徴とする。 In the magnetic property measurement system of the present invention, an application means for applying an exciting voltage to an exciting coil for exciting a measurement sample made of a magnetic material, and an induction induced in a first coil by exciting the measurement sample. A first detecting means for detecting a voltage, a second detecting means for detecting an exciting current flowing through the exciting coil when the exciting voltage is applied to the exciting coil by the applying means, and a target of the induced voltage. By the acquisition means for acquiring the waveform, the determination means for determining whether or not the measurement waveform of the induced voltage detected by the first detection means has converged to the target waveform of the induced voltage, and the determination means. When it is determined that the measured waveform of the induced voltage does not converge to the target waveform of the induced voltage, the measured waveform of the induced voltage detected by the first detecting means and the target waveform of the induced voltage When it is determined by the correction means for correcting the exciting voltage and the determination means that the measurement waveform of the induced voltage has converged to the target waveform of the induced voltage based on the difference, the first detection means detects it. It has an iron loss deriving means for deriving the iron loss of the measurement sample based on the induced voltage and the exciting current detected by the second detecting means, and the applying means is the modification. When the exciting voltage is corrected by the means, the corrected exciting voltage is applied to the exciting coil, and the measurement waveform of the induced voltage detected by the determining means by the first detecting means is the measurement waveform of the induced voltage. Until it is determined that the target waveform of the induced voltage has converged, the correction of the exciting voltage by the correcting means, the application of the exciting voltage by the applying means, and the detection of the induced voltage by the first detecting means. is repeatedly performed, the determination means, the induced voltage absolute value of one cycle portion of the integrated value of the difference between the value of the induced voltage in the mutually corresponding time measurement waveform and the target waveform of the induced voltage, or, Based on the difference in amplitude between the plurality of frequency components included in the measured waveform of the induced voltage and the plurality of frequency components included in the target waveform of the induced voltage in the same frequency component , the measured waveform of the induced voltage is the induced. It is characterized in that it is determined whether or not the voltage has converged to the target waveform.

本発明の磁気特性測定方法は、磁性材料からなる測定試料を励磁するための励磁コイルに励磁電圧を印加する印加工程と、前記測定試料が励磁されることにより第1のコイルに誘起される誘起電圧を検出する第1の検出工程と、前記印加工程により前記励磁コイルに前記励磁電圧が印加されることにより前記励磁コイルに流れる励磁電流を検出する第2の検出工程と、前記誘起電圧の目標波形を取得する取得工程と、前記第1の検出工程により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定する判定工程と、前記判定工程により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束していないと判定されると、前記第1の検出工程により検出された前記誘起電圧の測定波形と、前記誘起電圧の目標波形との差に基づいて、前記励磁電圧を修正する修正工程と、前記判定工程により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束したと判定されると、前記第1の検出工程により検出された前記誘起電圧と、前記第2の検出工程により検出された前記励磁電流とに基づいて前記測定試料の鉄損を導出する鉄損導出工程と、を有し、前記印加工程は、前記修正工程により前記励磁電圧が修正されると、当該修正された前記励磁電圧を前記励磁コイルに印加し、前記判定工程により、前記第1の検出工程により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したと判定されるまで、前記修正工程による前記励磁電圧の修正と、前記印加工程による前記励磁電圧の印加と、前記第1の検出工程による前記誘起電圧の検出とが繰り返し行われ、前記判定工程は、前記誘起電圧の測定波形および前記誘起電圧の目標波形の相互に対応する時刻における前記誘起電圧の値の差の絶対値の一周期分の積算値、または、前記誘起電圧の測定波形に含まれる複数の周波数成分および前記誘起電圧の目標波形に含まれる複数の周波数成分の同一の周波数成分における振幅の差に基づいて、前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定することを特徴とする。 The magnetic property measuring method of the present invention includes an application step of applying an exciting voltage to an exciting coil for exciting a measurement sample made of a magnetic material, and an induction induced in a first coil by exciting the measurement sample. A first detection step of detecting a voltage, a second detection step of detecting an exciting current flowing through the exciting coil when the exciting voltage is applied to the exciting coil by the application step, and a target of the induced voltage. By the acquisition step of acquiring the waveform, the determination step of determining whether or not the measurement waveform of the induced voltage detected by the first detection step has converged to the target waveform of the induced voltage, and the determination step. When it is determined that the measured waveform of the induced voltage does not converge to the target waveform of the induced voltage, the measured waveform of the induced voltage detected by the first detection step and the target waveform of the induced voltage are combined. When it is determined by the correction step of correcting the exciting voltage and the determination step based on the difference that the measurement waveform of the induced voltage has converged to the target waveform of the induced voltage, it is detected by the first detection step. It has an iron loss derivation step of deriving the iron loss of the measurement sample based on the induced voltage generated and the exciting current detected by the second detection step, and the application step is the modification. When the exciting voltage is corrected by the step, the corrected exciting voltage is applied to the exciting coil, and the measured waveform of the induced voltage detected by the first detection step by the determination step is the measurement waveform of the induced voltage. Until it is determined that the target waveform of the induced voltage has converged, the correction of the exciting voltage by the correction step, the application of the exciting voltage by the application step, and the detection of the induced voltage by the first detection step are performed. is repeatedly performed, the judgment process, the absolute value integration value of one period of the difference between the values of the induced voltage in the mutually corresponding time of target waveform of the measured waveform and the induced voltage of the induced voltage, or, Based on the difference in amplitude between the plurality of frequency components included in the measured waveform of the induced voltage and the plurality of frequency components included in the target waveform of the induced voltage in the same frequency component , the measured waveform of the induced voltage is the induced. It is characterized in that it is determined whether or not the voltage has converged to the target waveform.

本発明によれば、磁性材料に発生する磁束密度が正弦波でない場合でも当該磁性材料の鉄損を精度よく導出することができる。 According to the present invention, even when the magnetic flux density generated in the magnetic material is not a sine wave, the iron loss of the magnetic material can be derived with high accuracy.

PWMインバータの出力電圧の波形の一例を示す図である。It is a figure which shows an example of the waveform of the output voltage of a PWM inverter. 磁束密度の波形の一例を示す図である。It is a figure which shows an example of the waveform of the magnetic flux density. 異なる変調率でPWMインバータを動作した場合の鉄損を比較した結果の一例示す図である。It is a figure which shows an example of the result of having compared the iron loss when the PWM inverter was operated with different modulation rates. 磁気特性測定システムの構成の一例を示す図である。It is a figure which shows an example of the structure of a magnetic characteristic measurement system. 磁気特性測定方法の構成の一例を説明するフローチャートである。It is a flowchart explaining an example of the structure of the magnetic characteristic measurement method. IPMモータの構成の一例を示す図である。It is a figure which shows an example of the structure of an IPM motor. 発明例および比較例のそれぞれにおける、誘起電圧の測定波形と目標波形の一例を示す図である。It is a figure which shows an example of the measurement waveform and the target waveform of the induced voltage in each of an invention example and a comparative example.

本発明の実施形態を説明する前に、本発明者らが得た知見について説明する。
図1は、PWM(Pulse Width Modulation)インバータの出力電圧の波形(電圧と時間との関係)の一例を示す図である。図1において、電圧101は、電圧102よりも小さい変調率でPWMインバータを駆動させた場合のPWMインバータの出力電圧である。このような電圧101、102で同一のモータをそれぞれ駆動した。尚、電圧101、102の実効値は同じであり、モータの回転数とトルクも同じである。
Before explaining the embodiment of the present invention, the findings obtained by the present inventors will be described.
FIG. 1 is a diagram showing an example of a waveform (relationship between voltage and time) of an output voltage of a PWM (Pulse Width Modulation) inverter. In FIG. 1, the voltage 101 is the output voltage of the PWM inverter when the PWM inverter is driven at a modulation factor smaller than the voltage 102. The same motor was driven by such voltages 101 and 102, respectively. The effective values of the voltages 101 and 102 are the same, and the rotation speed and torque of the motor are also the same.

図2は、電圧101、102でモータを駆動したときのステータコアの同一箇所における磁束密度の波形(磁束密度と時間との関係)の一例を示す図である。図2に示すように、何れの電圧101、102でモータを駆動しても、ステータコアの磁束密度201、202は、略同じになった。このときのモータ鉄損(ステータコアおよびロータコアで発生する鉄損の合計)を、モータに投入される電力から機械出力と銅損を減算して求めた。 FIG. 2 is a diagram showing an example of the waveform of the magnetic flux density (relationship between the magnetic flux density and time) at the same location of the stator core when the motor is driven by the voltages 101 and 102. As shown in FIG. 2, the magnetic flux densities 201 and 202 of the stator core are substantially the same regardless of which voltages 101 and 102 are used to drive the motor. The motor iron loss at this time (total iron loss generated in the stator core and the rotor core) was obtained by subtracting the mechanical output and the copper loss from the electric power input to the motor.

図3は、その結果を示す図である。図3において、Aは、電圧101でモータを駆動したことを示し、Bは、電圧102でモータを駆動したことを示す。また、鉄損比は、電圧101でモータを駆動した場合のステータコアの鉄損を「1」とした場合の鉄損の相対的な値を示す。図3に示すように、電圧102でモータを駆動した場合(B)の方が、電圧101でモータを駆動した場合(A)よりも鉄損が大幅に低減することが分かる。なお、AよりBの方が、モータ効率は約5%、インバータ効率は約7%、それぞれ向上することを確認している。
このように、本発明者らは、磁性材料に発生する磁束密度が同じであっても励磁電圧の波形(励磁電圧と時間との関係)が異なると当該磁性材料の鉄損が異なるという知見を得た。これは、励磁電圧に含まれる高調波の違いがコアを構成する磁性材料に引き起こされる渦電流の違いとなり、鉄損の違いになっていると考えられる。一方で、磁性材料を励磁することにより誘起される誘起電圧を積分して当該磁性材料に発生する磁束密度を求めるため、この積分により、誘起電圧に含まれていた高周波成分の信号が磁束密度の波形に含まれなくなるため、磁束密度は同じになると考えられる。そこで、本発明者らは、磁束密度ではなく、磁性材料を励磁することにより誘起される誘起電圧の目標波形(目標となる波形)と、当該誘起電圧の測定波形(測定された波形)とを比較することを着想した。以下の本発明の実施形態は、以上のような知見および着想に基づいてなされたものである。
FIG. 3 is a diagram showing the result. In FIG. 3, A indicates that the motor was driven by the voltage 101, and B indicates that the motor was driven by the voltage 102. Further, the iron loss ratio indicates a relative value of the iron loss when the iron loss of the stator core when the motor is driven by the voltage 101 is set to "1". As shown in FIG. 3, it can be seen that the iron loss is significantly reduced when the motor is driven by the voltage 102 (B) than when the motor is driven by the voltage 101 (A). It has been confirmed that B has a higher motor efficiency of about 5% and an inverter efficiency of about 7% than A.
As described above, the present inventors have found that even if the magnetic flux density generated in the magnetic material is the same, the iron loss of the magnetic material is different if the waveform of the exciting voltage (relationship between the exciting voltage and time) is different. Obtained. It is considered that this is because the difference in the harmonics contained in the exciting voltage is the difference in the eddy current caused by the magnetic material constituting the core, which is the difference in the iron loss. On the other hand, since the induced voltage induced by exciting the magnetic material is integrated to obtain the magnetic flux density generated in the magnetic material, the signal of the high frequency component included in the induced voltage is the magnetic flux density by this integration. Since it is not included in the waveform, it is considered that the magnetic flux density is the same. Therefore, the present inventors set the target waveform (target waveform) of the induced voltage induced by exciting the magnetic material and the measured waveform (measured waveform) of the induced voltage, instead of the magnetic flux density. I came up with the idea of comparing. The following embodiments of the present invention have been made based on the above findings and ideas.

以下、図面を参照しながら、本発明の一実施形態を説明する。
図4は、磁気特性測定システムの構成の一例を示す図である。図5は、磁気特性測定システムを用いた磁気特性測定方法の一例を説明するフローチャートである。本実施形態の磁気特性測定システムは、電気機器のコアを励磁する励磁巻線に所定の励磁電圧を印加した場合に当該コアの所定の領域(位置)に生じる磁束密度が、測定試料Sに発生するように測定試料Sを励磁する。測定試料Sとして用いられる磁性材料と電気機器のコアに使用される磁性材料は、同じ種類の磁性材料である。すなわち、製造工程において不可避的に発生するばらつきを除いて、同じ成分の原材料から同じ製造工程を経て製作されたもので、両者の違いは電気機器のコア形状に成形されているか、測定システムに応じた形状に成形されているか、のみである。従って、両者は同じ磁気特性を有する。特に、電気機器のコアに使用される磁性材料を板状とする場合、測定試料Sとして用いられる磁性材料の板厚と電気機器のコアに使用される磁性材料の板厚とを同じにする。
Hereinafter, an embodiment of the present invention will be described with reference to the drawings.
FIG. 4 is a diagram showing an example of the configuration of the magnetic characteristic measurement system. FIG. 5 is a flowchart illustrating an example of a magnetic characteristic measurement method using a magnetic characteristic measurement system. In the magnetic characteristic measurement system of the present embodiment, when a predetermined exciting voltage is applied to an exciting winding that excites a core of an electric device, a magnetic flux density generated in a predetermined region (position) of the core is generated in the measurement sample S. The measurement sample S is excited so as to do so. The magnetic material used as the measurement sample S and the magnetic material used for the core of the electric device are the same type of magnetic material. That is, it is manufactured from raw materials of the same component through the same manufacturing process, except for the variation that inevitably occurs in the manufacturing process, and the difference between the two depends on whether it is molded into the core shape of the electrical equipment or the measurement system. Is it molded into a different shape? Therefore, both have the same magnetic properties. In particular, when the magnetic material used for the core of the electric device has a plate shape, the thickness of the magnetic material used as the measurement sample S and the thickness of the magnetic material used for the core of the electric device are made the same.

尚、電気機器は、例えば、モータに代表される回転電機や、変圧器や、変流器や、変成器や、リアクトル等、動作の際にコアが励磁される電気機器であれば、どのような電気機器であってもよい。また、本実施形態では、磁性材料が電磁鋼板である場合を例に挙げて説明する。ただし、磁性材料は、電磁鋼板に代表される軟磁性材料等、コアとして使用される磁性材料であればどのようなものであってもよい。 The electrical equipment may be, for example, a rotary electric machine represented by a motor, a transformer, a current transformer, a current transformer, a reactor, or any other electrical equipment whose core is excited during operation. It may be an electric device. Further, in the present embodiment, the case where the magnetic material is an electromagnetic steel plate will be described as an example. However, the magnetic material may be any magnetic material used as a core, such as a soft magnetic material typified by an electromagnetic steel plate.

前述したように本実施形態では、誘起電圧の目標波形と測定波形とを比較し、測定波形が目標波形に合うように測定試料Sを励磁する。
測定試料Sの形状は、電気機器のコアを構成する磁性材料よりも単純な形状であるとする。例えば、非特許文献1に記載のエプスタイン試験器にセットされる試験片、非特許文献2に記載の単板試験器にセットされる試験片、またはリング状の試料を、測定試料Sとすることができる。
As described above, in the present embodiment, the target waveform of the induced voltage and the measurement waveform are compared, and the measurement sample S is excited so that the measurement waveform matches the target waveform.
It is assumed that the shape of the measurement sample S is simpler than that of the magnetic material constituting the core of the electric device. For example, the test piece set in the Epstein tester described in Non-Patent Document 1, the test piece set in the single plate tester described in Non-Patent Document 2, or the ring-shaped sample is designated as the measurement sample S. Can be done.

(磁気特性測定システムの構成)
図4において、磁気特性測定システムは、励磁電源401と、励磁コイル402と、電流計403と、サーチコイル404と、電圧計405と、演算装置410と、を有する。
励磁電源401は、励磁電圧を励磁コイル402に印加する。励磁電圧の波形は、後述する演算装置410内の波形修正部413により決定された一周期分の波形を周期的にくり返す波形である。この励磁電圧により励磁コイル402には、励磁電流が流れる。励磁電源401は、例えば、任意波形発生器と、パワーアンプとを用いて構成される。
(Configuration of magnetic characteristic measurement system)
In FIG. 4, the magnetic characteristic measurement system includes an exciting power supply 401, an exciting coil 402, an ammeter 403, a search coil 404, a voltmeter 405, and a computing device 410.
The exciting power supply 401 applies an exciting voltage to the exciting coil 402. The waveform of the exciting voltage is a waveform that periodically repeats the waveform for one cycle determined by the waveform correction unit 413 in the arithmetic unit 410 described later. An exciting current flows through the exciting coil 402 due to this exciting voltage. The exciting power supply 401 is configured by using, for example, an arbitrary waveform generator and a power amplifier.

励磁コイル402は、測定試料Sを励磁するためのコイルであり、励磁コイル402は、測定試料Sを囲むように巻き回される。なお、測定試料Sが単板である場合、励磁コイル402は、測定試料Sと磁気的に結合されるヨークを囲むように巻き回しても良い。 The exciting coil 402 is a coil for exciting the measurement sample S, and the exciting coil 402 is wound so as to surround the measurement sample S. When the measurement sample S is a single plate, the excitation coil 402 may be wound around a yoke that is magnetically coupled to the measurement sample S.

電流計403は、励磁コイル402に流れる励磁電流を測定する。
サーチコイル404は、いわゆるBコイルと称されるものであり、測定試料Sが励磁されることにより誘起される誘起電圧を検出するためのコイルである。サーチコイル404は、測定試料Sを囲むように巻き回される。すなわち、サーチコイル404は、測定試料Sが励磁されることにより発生する磁束を囲むように巻き回される。
The ammeter 403 measures the exciting current flowing through the exciting coil 402.
The search coil 404 is a so-called B coil, and is a coil for detecting the induced voltage induced by the excitation of the measurement sample S. The search coil 404 is wound so as to surround the measurement sample S. That is, the search coil 404 is wound so as to surround the magnetic flux generated by the excitation of the measurement sample S.

電圧計405は、サーチコイル404の両端の電圧(誘起電圧)を測定する。
演算装置410は、電流計403で測定された励磁電流と、電圧計405で測定された誘起電圧とを、所定のサンプリング周期に基づいて時系列データとして取得する。また、演算装置110は、励磁電圧の波形を生成して励磁電源401に指示すると共に測定試料Sの磁気特性(鉄損)を導出する。
The voltmeter 405 measures the voltage (induced voltage) across the search coil 404.
The arithmetic unit 410 acquires the exciting current measured by the ammeter 403 and the induced voltage measured by the voltmeter 405 as time-series data based on a predetermined sampling period. Further, the arithmetic unit 110 generates a waveform of the exciting voltage and instructs the exciting power supply 401, and at the same time, derives the magnetic characteristics (iron loss) of the measurement sample S.

(演算装置410の構成および磁気特性測定方法)
以下に、演算装置410が有する機能の一例を説明する。演算装置410のハードウェアは、例えば、CPU、ROM、RAM、HDD、および各種のインターフェースを備える情報処理装置や、専用のハードウェアを用いることにより実現される。
(Configuration of arithmetic unit 410 and method for measuring magnetic characteristics)
An example of the function of the arithmetic unit 410 will be described below. The hardware of the arithmetic unit 410 is realized by using, for example, an information processing device including a CPU, ROM, RAM, HDD, and various interfaces, or dedicated hardware.

<目標波形取得部411、S501>
目標波形取得部411は、誘起電圧の目標波形(誘起電圧の各時刻における目標値)として一周期分の目標波形を取得する。誘起電圧の目標波形を取得する方法の一例として、以下の2つの方法を説明する。
<Target waveform acquisition unit 411, S501>
The target waveform acquisition unit 411 acquires the target waveform for one cycle as the target waveform of the induced voltage (target value of the induced voltage at each time). The following two methods will be described as an example of the method of acquiring the target waveform of the induced voltage.

まず、第1の方法について説明する。
磁気特性を測定したい電気機器のコアの所定の領域(磁気特性を測定したい領域)にサーチコイルを巻き回す。そして、電気機器のコアを励磁する励磁巻線に所定の励磁電圧を印加することにより当該サーチコイルに誘起される誘起電圧(当該サーチコイルの両端の電圧)を測定する。尚、サーチコイルを巻き回す領域は、磁気特性を測定したい領域と厳密に一致している必要はない。例えば、電気機器の構造上、磁気特性を測定したい領域と厳密に一致する領域にサーチコイルを巻き回すことができないことがあるからである。この場合、磁気特性を測定したい領域に可及的に近い領域にサーチコイルを巻き回す。
First, the first method will be described.
The search coil is wound around a predetermined region (area where the magnetic characteristics are to be measured) of the core of the electric device whose magnetic characteristics are to be measured. Then, the induced voltage (voltage across the search coil) induced in the search coil is measured by applying a predetermined exciting voltage to the exciting winding that excites the core of the electric device. The region around which the search coil is wound does not have to be exactly the same as the region where the magnetic characteristics are to be measured. For example, due to the structure of an electric device, it may not be possible to wind the search coil in a region that exactly matches the region in which the magnetic characteristics are to be measured. In this case, the search coil is wound around a region as close as possible to the region where the magnetic characteristics are to be measured.

ここで、誘起電圧をV(t)[V]とする。サーチコイルの巻回数をN[回]とする。磁束をφ(t)[wb]とする。磁束密度をB(t)[T]とする。サーチコイル内の電磁鋼板の断面積をS[m2]とする。そうすると、以下の(1)式および(2)式が成り立つ。
V(t)=−N×dφ(t)/dt ・・・(1)
φ(t)=B(t)×S ・・・(2)
Here, the induced voltage is V (t) [V]. Let the number of turns of the search coil be N [times]. Let the magnetic flux be φ (t) [wb]. Let the magnetic flux density be B (t) [T]. Let S [m 2 ] be the cross-sectional area of the electrical steel sheet in the search coil. Then, the following equations (1) and (2) are established.
V (t) = −N × dφ (t) / dt ・ ・ ・ (1)
φ (t) = B (t) × S ・ ・ ・ (2)

ここで、測定試料Sに対するサーチコイル404と、電気機器に対するサーチコイルとでは、巻回数および面積が異なる(場合が多い)。従って、この違いに応じて、電気機器に対するサーチコイルに誘起される誘起電圧の各時刻における値を、測定試料Sに対するサーチコイル404に誘起される誘起電圧の各時刻における値に換算する必要がある。具体的には、測定試料Sに対するサーチコイル404の巻回数、サーチコイル404内の電磁鋼板の断面積をそれぞれNA、SAとする。電気機器に対するサーチコイルの巻回数、サーチコイル内の電磁鋼板の断面積をそれぞれNM、SMとする。電気機器に対するサーチコイルに誘起される誘起電圧をVM(t)とする。そうすると、誘起電圧の目標波形VA(t)は、以下の(3)式により算出される。
A(t)={(NA×SA)÷(NM×SM)}×VM(t) ・・・(3)
尚、電磁鋼板の断面積は、サーチコイルの軸の方向(測定試料Sが励磁されることにより測定試料Sに発生する磁束による磁路の方向)に垂直な方向に電磁鋼板を切った断面の面積である。
Here, the number of turns and the area of the search coil 404 for the measurement sample S and the search coil for the electric device are different (in many cases). Therefore, according to this difference, it is necessary to convert the value of the induced voltage induced in the search coil for the electric device at each time into the value of the induced voltage induced in the search coil 404 for the measurement sample S at each time. .. Specifically, the number of turns of the search coil 404 for sample S, respectively N A the cross-sectional area of the magnetic steel in the search coil 404, and S A. Number of turns of the search coil for electrical equipment, respectively N M a cross-sectional area of the magnetic steel in the search coil, and S M. The voltage induced in the search coil for electric appliance and V M (t). Then, the target waveform VA (t) of the induced voltage is calculated by the following equation (3).
V A (t) = {( N A × S A) ÷ (N M × S M)} × V M (t) ··· (3)
The cross-sectional area of the electromagnetic steel plate is the cross-sectional area obtained by cutting the electromagnetic steel plate in a direction perpendicular to the direction of the axis of the search coil (the direction of the magnetic path due to the magnetic flux generated in the measurement sample S when the measurement sample S is excited). The area.

ここで、測定時のノイズを低減するため、電気機器に対するサーチコイルに誘起される誘起電圧に含まれる高次の高調波成分を除去した上で(3)式の計算を行うのが好ましい。例えば、電気機器に対するサーチコイルに誘起される誘起電圧の波形に対して高速フーリエ変換(Fast Fourier Transform)を行い、例えば20次以上の高調波成分のスペクトルを除去した上で、フーリエ逆変換を行う。これにより、電気機器に対するサーチコイルに誘起される誘起電圧に含まれる高次の高調波成分を除去することができる。 Here, in order to reduce noise during measurement, it is preferable to perform the calculation of Eq. (3) after removing high-order harmonic components included in the induced voltage induced in the search coil for the electric device. For example, a fast Fourier transform is performed on the waveform of the induced voltage induced in the search coil for an electric device, and for example, the inverse Fourier transform is performed after removing the spectrum of harmonic components of the 20th order or higher. .. As a result, it is possible to remove high-order harmonic components included in the induced voltage induced in the search coil for the electric device.

目標波形取得部411は、例えば、このようにして誘起電圧の目標波形を演算する外部の演算装置から、誘起電圧の目標波形を受信することにより、誘起電圧の目標波形を取得することができる。また、目標波形取得部411は、電気機器に対するサーチコイルに誘起される誘起電圧を入力して、誘起電圧の目標波形を演算することにより、誘起電圧の目標波形を取得することもできる。この他、目標波形取得部411は、誘起電圧の目標波形のデータを記憶する記憶媒体から、誘起電圧の目標波形のデータを読み出すことにより、誘起電圧の目標波形を取得することもできる。 The target waveform acquisition unit 411 can acquire the target waveform of the induced voltage by receiving the target waveform of the induced voltage from, for example, an external arithmetic unit that calculates the target waveform of the induced voltage in this way. Further, the target waveform acquisition unit 411 can acquire the target waveform of the induced voltage by inputting the induced voltage induced in the search coil for the electric device and calculating the target waveform of the induced voltage. In addition, the target waveform acquisition unit 411 can also acquire the target waveform of the induced voltage by reading the data of the target waveform of the induced voltage from the storage medium that stores the data of the target waveform of the induced voltage.

次に、第2の方法について説明する。
磁気特性を測定したい電気機器のコアを励磁する励磁巻線に所定の励磁電圧を印加することにより当該コアの所定の領域に発生する磁束密度ベクトルを、マックスウェルの方程式に基づく二次元数値解析(コアを構成する電磁鋼板の板面に平行な方向の面に対する数値解析(即ち、二次元空間における数値解析))を実行することにより求める。尚、このようにして求められる磁束密度ベクトルは、コアを構成する電磁鋼板の板面方向の成分を有し、板厚方向の成分を有しない。数値解析は、コンピュータにより実行される。
Next, the second method will be described.
Two-dimensional numerical analysis based on Maxwell's equation is performed on the magnetic flux density vector generated in a predetermined region of the core by applying a predetermined exciting voltage to the exciting winding that excites the core of the electrical equipment whose magnetic characteristics are to be measured. It is obtained by performing a numerical analysis (that is, a numerical analysis in a two-dimensional space) on a surface in a direction parallel to the plate surface of the electromagnetic steel plate constituting the core. The magnetic flux density vector obtained in this way has a component in the plate surface direction of the electromagnetic steel sheet constituting the core, and does not have a component in the plate thickness direction. Numerical analysis is performed by a computer.

数値解析としては、例えば、有限要素法を用いることができる。例えば、電磁鋼板の形状、微小領域(いわゆるメッシュ)の大きさ、B−H曲線(磁束密度Bと磁界強度Hとの関係を表す曲線)のデータ、および励磁条件(例えば、各時刻における励磁電圧の大きさ)を、数値解析の解を求めるための物理量のパラメータとして採用される。即ち、これらのパラメータを考慮に入れて、マックスウェルの方程式の数値解として、微小領域ごとに磁束密度ベクトルが得られる。 As the numerical analysis, for example, the finite element method can be used. For example, the shape of the electromagnetic steel plate, the size of a minute region (so-called mesh), the data of the BH curve (the curve representing the relationship between the magnetic flux density B and the magnetic field strength H), and the exciting conditions (for example, the exciting voltage at each time). Is adopted as a parameter of the physical quantity for finding the solution of the numerical analysis. That is, taking these parameters into consideration, a magnetic flux density vector can be obtained for each minute region as a numerical solution of Maxwell's equation.

磁束密度ベクトルBと渦電流ベクトルJeを計算するための基礎方程式は、一般に、以下の(4)式〜(7)式で与えられる。 The basic equations for calculating the magnetic flux density vector B and the eddy current vector J e are generally given by the following equations (4) to (7).

Figure 0006834670
Figure 0006834670

(4)式〜(7)式において、μは、透磁率[H/m]であり、Aは、ベクトルポテンシャル[T・m]であり、σは、導電率[S/m]であり、J0は、励磁電流密度[A/m2]であり、φは、スカラーポテンシャル[V]である。
(4)式および(5)式を連立して解いて、ベクトルポテンシャルAとスカラーポテンシャルφを求めた後、(6)式、(7)式から、磁束密度ベクトルBと渦電流ベクトルJeが計算される。
尚、このようにして磁束密度ベクトルおよび渦電流ベクトルを求める方法は、非特許文献3に記載されているように公知の技術で実現することができるので、ここでは、その詳細な説明を省略する。
そして、以上のようにして得られた電気機器のコアの所定の領域における一周期分の磁束密度ベクトルから、(1)式および(2)式に基づいて、誘起電圧の一周期分の波形を求め、求めた波形を、誘起電圧の目標波形とする。
In equations (4) to (7), μ is the magnetic permeability [H / m], A is the vector potential [Tm], and σ is the conductivity [S / m]. J 0 is the exciting current density [A / m 2 ], and φ is the scalar potential [V].
After solving equations (4) and (5) at the same time to obtain the vector potential A and the scalar potential φ, the magnetic flux density vector B and the eddy current vector J e are obtained from the equations (6) and (7). It is calculated.
Since the method of obtaining the magnetic flux density vector and the eddy current vector in this way can be realized by a known technique as described in Non-Patent Document 3, detailed description thereof will be omitted here. ..
Then, from the magnetic flux density vector for one cycle in the predetermined region of the core of the electric device obtained as described above, the waveform for one cycle of the induced voltage is obtained based on the equations (1) and (2). The obtained waveform is used as the target waveform of the induced voltage.

ここで、丸め誤差等の数値解析時の誤差を低減するため、以上のようにして演算された誘起電圧の目標波形に含まれる高次の高調波成分を除去したものを(正式な)誘起電圧の目標波形とするのが好ましい。例えば、以上のようにして演算された誘起電圧の目標波形に対して高速フーリエ変換を行い、例えば20次以上の高調波成分のスペクトルを除去した上で、フーリエ逆変換を行う。このようにすることにより、以上のようにして演算された誘起電圧の目標波形に含まれる高次の高調波成分を除去することができる。 Here, in order to reduce errors during numerical analysis such as rounding error, the (formal) induced voltage is obtained by removing the higher-order harmonic components included in the target waveform of the induced voltage calculated as described above. It is preferable to use a target waveform. For example, the fast Fourier transform is performed on the target waveform of the induced voltage calculated as described above, and the inverse Fourier transform is performed after removing the spectrum of the harmonic component of, for example, the 20th order or higher. By doing so, it is possible to remove the higher-order harmonic components included in the target waveform of the induced voltage calculated as described above.

目標波形取得部411は、以上のようにして誘起電圧の目標波形を演算することにより、誘起電圧の目標波形を取得することができる。この他、目標波形取得部411は、前述した方法と同様の方法で誘起電圧の目標波形を演算する外部の演算装置から送信された誘起電圧の目標波形のデータを受信することにより、誘起電圧の目標波形を取得することもできる。また、目標波形取得部411は、誘起電圧の目標波形のデータを記憶する記憶媒体から、誘起電圧の目標波形のデータを読み出すことにより、誘起電圧の目標波形を取得することもできる。 The target waveform acquisition unit 411 can acquire the target waveform of the induced voltage by calculating the target waveform of the induced voltage as described above. In addition, the target waveform acquisition unit 411 receives the data of the target waveform of the induced voltage transmitted from the external computing device that calculates the target waveform of the induced voltage by the same method as the above-described method, thereby increasing the induced voltage. It is also possible to acquire the target waveform. Further, the target waveform acquisition unit 411 can also acquire the target waveform of the induced voltage by reading the data of the target waveform of the induced voltage from the storage medium that stores the data of the target waveform of the induced voltage.

<目標波形記憶部412、S502>
目標波形記憶部412は、目標波形取得部411により取得された誘起電圧の目標波形を記憶する。
<波形修正部413、S503>
波形修正部413は、電圧計405で測定された誘起電圧の測定波形に含まれる高次の高調波成分を除去する。例えば、誘起電圧の測定波形に対して高速フーリエ変換を行い、例えば20次以上の高調波成分のスペクトルを除去した上で、フーリエ逆変換を行う。これにより、測定試料Sに対するサーチコイル404に誘起される誘起電圧に含まれる高次の高調波成分を除去することができる。次に、波形修正部413は、高調波成分を除去した誘起電圧測定波形の或る時刻の値を、目標波形記憶部412に記憶された誘起電圧の目標波形の当該時刻に対応する時刻の値から減算した値を、一周期における各時刻において求める(以下、このようにして求めた値を差分と称する)。そして、波形修正部413は、或る時刻に対して求めた差分に緩和係数を乗算した値を、現在の励磁電圧の波形の当該時刻に対応する時刻の値に加算する。波形修正部413は、このような加算による修正を、一周期における各時刻において行う。緩和係数は、励磁電圧のハンチングを抑制するためのものであり、0(ゼロ)を上回り、1を下回る値を有する。例えば、緩和係数として0.2〜0.3の値を採用することができる。また、緩和係数を1として、現在の励磁電圧の波形に差分をそのまま加算してもよい。ここで、誘起電圧の測定波形からあらかじめ高調波成分を除去しておくことで、緩和係数を用いても抑止不可な励磁電圧の指示波形のハンチングを抑制することができる。
<Target waveform storage unit 412, S502>
The target waveform storage unit 412 stores the target waveform of the induced voltage acquired by the target waveform acquisition unit 411.
<Waveform correction unit 413, S503>
The waveform correction unit 413 removes high-order harmonic components included in the measurement waveform of the induced voltage measured by the voltmeter 405. For example, a fast Fourier transform is performed on the measured waveform of the induced voltage, and for example, the spectrum of harmonic components of the 20th order or higher is removed, and then the inverse Fourier transform is performed. As a result, higher-order harmonic components included in the induced voltage induced in the search coil 404 with respect to the measurement sample S can be removed. Next, the waveform correction unit 413 sets the value of the induced voltage measurement waveform from which the harmonic component is removed at a certain time to the value of the time corresponding to the time of the target waveform of the induced voltage stored in the target waveform storage unit 412. The value subtracted from is obtained at each time in one cycle (hereinafter, the value obtained in this way is referred to as a difference). Then, the waveform correction unit 413 adds the value obtained by multiplying the difference obtained for a certain time by the relaxation coefficient to the value of the time corresponding to the time of the waveform of the current excitation voltage. The waveform correction unit 413 performs correction by such addition at each time in one cycle. The relaxation coefficient is for suppressing the hunting of the exciting voltage, and has a value of more than 0 (zero) and less than 1. For example, a value of 0.2 to 0.3 can be adopted as the relaxation coefficient. Further, the relaxation coefficient may be set to 1, and the difference may be added as it is to the waveform of the current exciting voltage. Here, by removing the harmonic component from the measured waveform of the induced voltage in advance, it is possible to suppress the hunting of the indicated waveform of the exciting voltage, which cannot be suppressed even by using the relaxation coefficient.

測定開始時には、誘起電圧の測定波形が存在しない。そこで、波形修正部413は、励磁電圧の指示波形の初期値として、目標波形記憶部412に記憶された誘起電圧の目標波形を採用する。このようにすれば、測定当初から、目標とする波形と同じ形の波形の励磁電圧が励磁電源401から出力され、後述する収束判定部414により、誘起電圧が収束したと判定されるまでの時間が早まるので好ましい。ただし、励磁電圧の指示波形の初期値は、誘起電圧の目標波形に限定されず、任意の波形でよい。 At the start of measurement, there is no measurement waveform of the induced voltage. Therefore, the waveform correction unit 413 adopts the target waveform of the induced voltage stored in the target waveform storage unit 412 as the initial value of the indicated waveform of the exciting voltage. In this way, from the beginning of the measurement, the exciting voltage having the same waveform as the target waveform is output from the exciting power supply 401, and the time until the induced voltage is determined to have converged by the convergence test unit 414 described later. Is preferable because it accelerates. However, the initial value of the indicated waveform of the exciting voltage is not limited to the target waveform of the induced voltage, and may be any waveform.

<収束判定部414、S503〜S504>
収束判定部414は、電圧計405で測定された誘起電圧の測定波形が、目標波形記憶部412に記憶された誘起電圧の目標波形に収束したか否かを判定する。本実施形態では、収束判定部414は、誘起電圧の目標波形と測定波形との相互に対応する時刻における差の絶対値の、一周期分の積算値を用いて、誘起電圧の測定波形が目標波形に収束したか否かを判定する。具体的には、誘起電圧の目標波形をVA(t)とし、誘起電圧の測定波形をVP(t)とし、一周期の開始、終了の時刻をそれぞれts、teとすると、収束判定部414は、以下の(8)式を満たす場合に、誘起電圧の測定波形が目標波形に収束したと判定し、そうでない場合に誘起電圧の測定波形が目標波形に収束していないと判定する。また、収束判定部414は、(8)式に替えて以下の(9)式を用いてもよい。
<Convergence determination unit 414, S503 to S504>
The convergence determination unit 414 determines whether or not the measurement waveform of the induced voltage measured by the voltmeter 405 has converged to the target waveform of the induced voltage stored in the target waveform storage unit 412. In the present embodiment, the convergence determination unit 414 targets the measured waveform of the induced voltage by using the integrated value for one cycle of the absolute value of the difference between the target waveform of the induced voltage and the measured waveform at the time corresponding to each other. Determine if it has converged to the waveform. Specifically, the target waveform of the induced voltage is V A (t), the measured waveform of the induced voltage is V P (t), one cycle initiation of, t s end times, respectively, when t e, convergence The determination unit 414 determines that the measured waveform of the induced voltage has converged to the target waveform when the following equation (8) is satisfied, and determines that the measured waveform of the induced voltage has not converged to the target waveform otherwise. To do. Further, the convergence test unit 414 may use the following equation (9) instead of the equation (8).

Figure 0006834670
Figure 0006834670

(8)式は、誘起電圧の目標波形と測定波形の相互に対応する時刻における差の絶対値の、一周期分の積算値を、そのまま用いる場合の例である。(9)式は、誘起電圧の目標波形と測定波形の相互に対応する時刻における差の絶対値の、一周期分の積算値を、誘起電圧の目標波形の値の絶対値の一周期分の積算値に対する割合として表した場合の例である。 Equation (8) is an example in which the integrated value for one cycle of the absolute value of the difference between the target waveform of the induced voltage and the measured waveform at the time corresponding to each other is used as it is. In equation (9), the integrated value for one cycle of the absolute value of the difference between the target waveform of the induced voltage and the measured waveform at the time corresponding to each other is the integrated value for one cycle of the absolute value of the target waveform of the induced voltage. This is an example when expressed as a ratio to the integrated value.

収束判定部414は、測定時のノイズを低減するため、測定試料Sに対するサーチコイル404に誘起される誘起電圧に含まれる高次の高調波成分を除去した上で(8)式または(9)式の計算を行うのが好ましい。例えば、収束判定部414は、測定試料Sに対するサーチコイル404に誘起される誘起電圧の波形に対して高速フーリエ変換を行い、例えば20次以上の高調波成分のスペクトルを除去した上で、フーリエ逆変換を行う。このようにすることにより、測定試料Sに対するサーチコイル404に誘起される誘起電圧に含まれる高次の高調波成分を除去することができる。 In order to reduce noise during measurement, the convergence test unit 414 removes higher-order harmonic components contained in the induced voltage induced in the search coil 404 for the measurement sample S, and then uses Eq. (8) or (9). It is preferable to calculate the formula. For example, the convergence determination unit 414 performs a fast Fourier transform on the waveform of the induced voltage induced in the search coil 404 for the measurement sample S, for example, removes the spectrum of the harmonic component of the 20th order or higher, and then Fourier inverse. Perform the conversion. By doing so, it is possible to remove high-order harmonic components included in the induced voltage induced in the search coil 404 with respect to the measurement sample S.

波形修正部413は、収束判定部414により、誘起電圧の測定波形が目標波形に収束していないと判定された場合に、前述した励磁電圧の指示波形の修正を行う。即ち、波形修正部413は、収束判定部414により、誘起電圧の測定波形が誘起電圧の目標波形に収束したと判定されるまで、前述した励磁電圧の指示波形の修正を繰り返し行う。 When the convergence determination unit 414 determines that the measured waveform of the induced voltage has not converged to the target waveform, the waveform correction unit 413 corrects the above-mentioned excitation voltage indicated waveform. That is, the waveform correction unit 413 repeatedly corrects the above-mentioned excitation voltage instruction waveform until it is determined by the convergence test unit 414 that the measured waveform of the induced voltage has converged to the target waveform of the induced voltage.

<磁束密度導出部415、S505>
磁束密度導出部415は、収束判定部414により誘起電圧の測定波形が目標波形に収束したと判定されると、収束判定部414により誘起電圧の測定波形が目標波形に収束したと判定されたときに測定された誘起電圧の測定波形をV(t)とし、測定試料Sに対するサーチコイル404の巻回数をNとし、測定試料Sに対するサーチコイル404内の電磁鋼板の断面積をSとして、(1)式および(2)式に基づいて、測定試料Sにおける磁束密度B(t)を一周期分求める。尚、測定時のノイズを低減するため、収束判定部414の項で説明したのと同様に、磁束密度導出部415は、測定試料Sに対するサーチコイル404に誘起される誘起電圧に含まれる高次の高調波成分を除去した上で、(1)式および(2)式に基づく計算を行うのが好ましい。
<Magnetic flux density derivation unit 415, S505>
When the flux density deriving unit 415 determines that the induced voltage measurement waveform has converged to the target waveform by the convergence determination unit 414, and the convergence determination unit 414 determines that the induced voltage measurement waveform has converged to the target waveform. The measurement waveform of the induced voltage measured in 1 is V (t), the number of turns of the search coil 404 with respect to the measurement sample S is N, and the cross-sectional area of the electromagnetic steel plate in the search coil 404 with respect to the measurement sample S is S. ) And (2), the magnetic flux density B (t) in the measurement sample S is obtained for one cycle. In order to reduce noise during measurement, the magnetic flux density derivation unit 415 is the higher order included in the induced voltage induced in the search coil 404 for the measurement sample S, as described in the section of the convergence determination unit 414. It is preferable to perform the calculation based on the equations (1) and (2) after removing the harmonic component of.

<磁界強度導出部416、S506>
磁界強度導出部416は、収束判定部414により、誘起電圧の測定波形が目標波形に収束したと判定されると、収束判定部414により誘起電圧の測定波形が目標波形に収束したと判定されたときに測定された誘起電圧の測定波形と同じタイミングで電流計403により測定された励磁電流をI(t)[A]とし、励磁コイル402の巻回数をN1とし、測定試料Sの磁路長をl[m]として、以下の(10)式により、測定試料Sにおける磁界強度H(t)を一周期分求める。
H(t)=N1×I(t)÷l ・・・(10)
<Magnetic field strength derivation unit 416, S506>
When the convergence determination unit 414 determines that the measured waveform of the induced voltage has converged to the target waveform, the magnetic field strength deriving unit 416 determines that the measured waveform of the induced voltage has converged to the target waveform by the convergence determination unit 414. The exciting current measured by the current meter 403 at the same timing as the measured waveform of the induced voltage measured at this time is I (t) [A], the number of turns of the exciting coil 402 is N 1, and the magnetic path of the measurement sample S. With the length as l [m], the magnetic field strength H (t) in the measurement sample S is obtained for one cycle by the following equation (10).
H (t) = N 1 × I (t) ÷ l ・ ・ ・ (10)

尚、測定時のノイズを低減するため、磁界強度導出部416は、励磁電流に含まれる高次の高調波成分を除去した上で、(10)式の計算を行うのが好ましい。例えば、磁界強度導出部416は、励磁電流の波形に対して高速フーリエ変換を行い、例えば20次以上の高調波成分のスペクトルを除去した上で、フーリエ逆変換を行う。このようにすることにより、励磁電流に含まれる高次の高調波成分を除去することができる。 In order to reduce noise during measurement, it is preferable that the magnetic field strength derivation unit 416 performs the calculation of Eq. (10) after removing the higher-order harmonic components contained in the exciting current. For example, the magnetic field strength derivation unit 416 performs a fast Fourier transform on the waveform of the exciting current, removes the spectrum of a harmonic component of, for example, the 20th order or higher, and then performs the inverse Fourier transform. By doing so, it is possible to remove high-order harmonic components contained in the exciting current.

<鉄損導出部417、S507>
鉄損導出部417は、磁束密度導出部415で導出された磁束密度B(t)と、磁界強度導出部416で導出された磁界強度H(t)とから、B−H曲線(ヒステリシス曲線)を作成する。尚、このようにして作成されるB−H曲線(ヒステリシス曲線)には、ヒステリシス損だけでなく渦電流損による寄与分も反映される。そこで、鉄損導出部417は、B−H曲線の面積を、測定試料Sの鉄損として導出する。鉄損導出部417は、B−H曲線を作成する際に、磁束密度B(t)と磁界強度H(t)との組みとして、同じ時刻tにおける値の組を抽出する。この場合、電圧計405で測定された誘起電圧、電流計403で測定された励磁電流として同じ時刻の値が、磁束密度導出部415、磁界強度導出部416にそれぞれ入力されるようにする。
<Iron loss derivation unit 417, S507>
The iron loss derivation unit 417 is a BH curve (hysteresis curve) from the magnetic flux density B (t) derived by the magnetic flux density derivation unit 415 and the magnetic field strength H (t) derived by the magnetic field strength derivation unit 416. To create. The BH curve (hysteresis curve) created in this way reflects not only the hysteresis loss but also the contribution due to the eddy current loss. Therefore, the iron loss deriving unit 417 derives the area of the BH curve as the iron loss of the measurement sample S. When creating the BH curve, the iron loss derivation unit 417 extracts a set of values at the same time t as a set of the magnetic flux density B (t) and the magnetic field strength H (t). In this case, the induced voltage measured by the voltmeter 405 and the value at the same time as the exciting current measured by the ammeter 403 are input to the magnetic flux density derivation unit 415 and the magnetic field strength derivation unit 416, respectively.

<出力部418、S508>
出力部418は、鉄損導出部417で導出された測定試料Sの鉄損の情報を出力する。出力の形態としては、例えば、コンピュータディスプレイへの表示、外部装置への送信、および演算装置410の外部または内部の記憶媒体への記憶の少なくとも何れか1つを採用することができる。
<Output unit 418, S508>
The output unit 418 outputs information on the iron loss of the measurement sample S derived by the iron loss derivation unit 417. As the output form, for example, at least one of display on a computer display, transmission to an external device, and storage in an external or internal storage medium of the arithmetic unit 410 can be adopted.

(実施例)
次に、実施例を説明する。
図6は、磁気特性の測定対象となる電気機器であるIPM(Interior Permanent Magnet)モータ600の構成の一例を示す図である。図6(a)は、IPMモータ600を、その回転軸に垂直な方向に沿って切った断面を示し、図6(b)は、図6(a)の破線の領域を拡大して示す図である。以下に、本実施例で使用したIPMモータ600の仕様の概略を示す。
相数:3
極数:4
ステータの外径:φ112[mm]
ステータのスロット数:24
ロータの外径:φ55[mm]
ロータの積厚:60[mm]
ステータコアおよびロータコアの材質:35A300
ここで、35A300は非特許文献4に記載の無方向性電磁鋼板である。
(Example)
Next, an embodiment will be described.
FIG. 6 is a diagram showing an example of the configuration of an IPM (Interior Permanent Magnet) motor 600, which is an electric device whose magnetic characteristics are to be measured. FIG. 6A shows a cross section of the IPM motor 600 cut along a direction perpendicular to its rotation axis, and FIG. 6B shows an enlarged view of the broken line region of FIG. 6A. Is. The specifications of the IPM motor 600 used in this embodiment are outlined below.
Number of phases: 3
Number of poles: 4
Outer diameter of stator: φ112 [mm]
Number of stator slots: 24
Rotor outer diameter: φ55 [mm]
Rotor stacking thickness: 60 [mm]
Material of stator core and rotor core: 35A300
Here, 35A300 is a non-oriented electrical steel sheet described in Non-Patent Document 4.

図6(b)に示すように、IPMモータ600のステータコアのティースの先端の領域601における磁気特性(鉄損)を発明例の手法と比較例の手法とのそれぞれで求めた。発明例の手法は、本実施形態で説明した手法である。比較例の手法は、本実施形態で説明した演算装置410において、誘起電圧の指示波形の生成と収束判定の際に、誘起電圧の目標波形および測定波形に替えて、磁束密度の目標波形および測定波形を用いる手法である。 As shown in FIG. 6B, the magnetic characteristics (iron loss) in the region 601 at the tip of the teeth of the stator core of the IPM motor 600 were obtained by the method of the invention example and the method of the comparative example, respectively. The method of the invention example is the method described in this embodiment. In the method of the comparative example, in the arithmetic unit 410 described in the present embodiment, when the indicated waveform of the induced voltage is generated and the convergence is determined, the target waveform and the measurement of the magnetic flux density are replaced with the target waveform and the measured waveform of the induced voltage. This is a method that uses waveforms.

図7は、誘起電圧の測定波形と目標波形の一例を示す図である。図7(a)は比較例を示し、図7(b)は発明例を示す。
図7(a)および図7(b)に示すように、発明例の方が比較例よりも誘起電圧の測定波形が目標波形に近いことが分かる。そして、比較例で求めた測定試料Sの鉄損は、発明例で求めた測定試料Sの鉄損よりも2[%]程度低い値になった。これは、比較例では、誘起電圧の測定波形と目標波形とのずれにより、誘起電圧の目標波形に対応する励磁電流が得られていない為に磁界強度にずれが生じていることに加え、誘起電圧に含まれていた高調波成分が磁束密度の波形に含まれていないことによると考えられる。
FIG. 7 is a diagram showing an example of the measured waveform of the induced voltage and the target waveform. FIG. 7A shows a comparative example, and FIG. 7B shows an invention example.
As shown in FIGS. 7 (a) and 7 (b), it can be seen that the measured waveform of the induced voltage in the invention example is closer to the target waveform than in the comparative example. The iron loss of the measurement sample S obtained in the comparative example was lower than the iron loss of the measurement sample S obtained in the invention example by about 2 [%]. This is because, in the comparative example, the deviation between the measured waveform of the induced voltage and the target waveform causes a deviation in the magnetic field strength because the exciting current corresponding to the target waveform of the induced voltage is not obtained. It is considered that this is because the harmonic component contained in the voltage is not included in the waveform of the magnetic field density.

(まとめ)
以上のように本実施形態では、電気機器のコアを所定の励磁条件で励磁したときに当該コアの所定の領域において検出される誘起電圧の波形を誘起電圧の目標波形とする。波形修正部413は、測定試料Sに誘起される誘起電圧の測定波形と目標波形との差に応じて励磁電圧の指示波形を修正することを、収束判定部414により誘起電圧の測定波形が目標波形に収束したと判定されるまで繰り返し行う。収束判定部414は、誘起電圧の測定波形と目標波形との各時刻における値の差の絶対値の、一周期分の積算値を用いた値が基準値以下である場合に、誘起電圧の測定波形が目標波形に収束したと判定する。そして、鉄損導出部417は、誘起電圧の測定波形が目標波形に収束したと判定されたときに電圧計405、電流計403により測定された誘起電圧、励磁電流に基づく磁束密度、磁界強度に基づいて、測定試料Sの鉄損を導出する。従って、励磁電圧に高調波成分が含まれており、測定試料Sにおける磁束密度に高調波成分が含まれている場合でも、その高調波成分を抽出することができる。また、誘起電圧の測定波形が目標波形に収束したか否かを判定する際に、平均化した値を用いないので、誘起電圧の目標波形に高調波成分が含まれる場合でも、誘起電圧の測定波形を目標波形に高精度に収束させることができる。よって、電気機器のコアの局所的な領域における磁束密度が正弦波でない場合でも、当該領域における鉄損を高精度に導出することができる。
(Summary)
As described above, in the present embodiment, the waveform of the induced voltage detected in the predetermined region of the core when the core of the electric device is excited under the predetermined excitation conditions is set as the target waveform of the induced voltage. The waveform correction unit 413 corrects the indicated waveform of the exciting voltage according to the difference between the measurement waveform of the induced voltage induced in the measurement sample S and the target waveform, and the convergence determination unit 414 targets the measurement waveform of the induced voltage. Repeat until it is determined that the waveform has converged. The convergence determination unit 414 measures the induced voltage when the value using the integrated value for one cycle of the absolute value of the difference between the measured waveform of the induced voltage and the target waveform at each time is equal to or less than the reference value. It is determined that the waveform has converged to the target waveform. Then, the iron loss derivation unit 417 determines the induced voltage measured by the voltmeter 405 and the ammeter 403, the magnetic flux density based on the exciting current, and the magnetic field strength when it is determined that the measured waveform of the induced voltage has converged to the target waveform. Based on this, the iron loss of the measurement sample S is derived. Therefore, even when the exciting voltage contains a harmonic component and the magnetic flux density in the measurement sample S contains a harmonic component, the harmonic component can be extracted. Moreover, since the averaged value is not used when determining whether or not the measured waveform of the induced voltage has converged to the target waveform, the induced voltage is measured even when the target waveform of the induced voltage contains a harmonic component. The waveform can be converged to the target waveform with high accuracy. Therefore, even if the magnetic flux density in the local region of the core of the electric device is not a sine wave, the iron loss in the region can be derived with high accuracy.

(変形例)
本実施形態では、収束判定部414は、誘起電圧の目標波形と測定波形の相互に対応する時刻における差の絶対値の、一周期分の積算値を用いて、誘起電圧の測定波形が目標波形に収束したか否かを判定する。しかしながら、必ずしもこのようにする必要はない。収束判定部414は、誘起電圧の目標波形と測定波形の同一の周波数成分の振幅の差(の絶対値)を複数の周波数成分のそれぞれについて求めた結果を用いて、誘起電圧の測定波形が誘起電圧の目標波形に収束したか否かを判定してもよい。例えば、収束判定部414は、誘起電圧の目標波形と測定波形とのそれぞれに対して高速フーリエ変換を行い、複数の周波数成分ごとのスペクトル(振幅)を求める。そして、収束判定部414は、同一の周波数成分のスペクトルの差の絶対値を、複数の周波数成分のそれぞれについて求める。尚、複数の周波数成分としては、基本波の周波数成分と、2〜n次高調波(nは3以上の整数)に対応する周波数成分とを採用することができる。そして、収束判定部414は、或る周波数成分のスペクトルの差の絶対値が、当該周波数成分に対して予め設定された基準値以下であるか否かを判定することを、複数の周波数成分のそれぞれについて行う。そして、収束判定部414は、複数の周波数成分の全てについて、スペクトルの差の絶対値が、当該周波数成分に対して予め設定された基準値以下である場合に、誘起電圧の測定波形が誘起電圧の目標波形に収束したと判定し、そうでない場合に、誘起電圧の測定波形が誘起電圧の目標波形に収束していないと判定する。
また、演算装置410の各部が複数の装置で構成されていてもよい。
(Modification example)
In the present embodiment, the convergence determination unit 414 uses the integrated value of the absolute value of the difference between the target waveform of the induced voltage and the measured waveform at the time corresponding to each other for one cycle, and the measured waveform of the induced voltage is the target waveform. Judge whether or not it has converged to. However, it is not always necessary to do this. The convergence determination unit 414 induces the measurement waveform of the induced voltage by using the result of obtaining (absolute value) of the amplitude difference (absolute value) of the same frequency component of the target waveform of the induced voltage and the measured waveform for each of the plurality of frequency components. It may be determined whether or not the target waveform of the voltage has converged. For example, the convergence test unit 414 performs a fast Fourier transform on each of the target waveform and the measurement waveform of the induced voltage, and obtains spectra (amplitudes) for each of a plurality of frequency components. Then, the convergence test unit 414 obtains the absolute value of the difference between the spectra of the same frequency component for each of the plurality of frequency components. As the plurality of frequency components, a frequency component of the fundamental wave and a frequency component corresponding to the 2nd to nth harmonics (n is an integer of 3 or more) can be adopted. Then, the convergence test unit 414 determines whether or not the absolute value of the difference between the spectra of a certain frequency component is equal to or less than a reference value preset for the frequency component of the plurality of frequency components. Do for each. Then, the convergence determination unit 414 determines that the measured waveform of the induced voltage is the induced voltage when the absolute value of the difference in the spectrum is equal to or less than the reference value preset for the frequency component for all of the plurality of frequency components. It is determined that the waveform has converged to the target waveform of the induced voltage, and if not, it is determined that the measured waveform of the induced voltage has not converged to the target waveform of the induced voltage.
Further, each part of the arithmetic unit 410 may be composed of a plurality of devices.

尚、以上説明した本発明の実施形態は、コンピュータがプログラムを実行することによって実現することができる。また、前記プログラムを記録したコンピュータ読み取り可能な記録媒体及び前記プログラム等のコンピュータプログラムプロダクトも本発明の実施形態として適用することができる。記録媒体としては、例えば、フレキシブルディスク、ハードディスク、光ディスク、光磁気ディスク、CD−ROM、磁気テープ、不揮発性のメモリカード、ROM等を用いることができる。
また、以上説明した本発明の実施形態は、何れも本発明を実施するにあたっての具体化の例を示したものに過ぎず、これらによって本発明の技術的範囲が限定的に解釈されてはならないものである。すなわち、本発明はその技術思想、またはその主要な特徴から逸脱することなく、様々な形で実施することができる。
The embodiment of the present invention described above can be realized by executing a program by a computer. Further, a computer-readable recording medium on which the program is recorded and a computer program product such as the program can also be applied as an embodiment of the present invention. As the recording medium, for example, a flexible disk, a hard disk, an optical disk, a magneto-optical disk, a CD-ROM, a magnetic tape, a non-volatile memory card, a ROM, or the like can be used.
In addition, the embodiments of the present invention described above are merely examples of embodiment of the present invention, and the technical scope of the present invention should not be construed in a limited manner by these. It is a thing. That is, the present invention can be implemented in various forms without departing from the technical idea or its main features.

(請求項との関係)
以下に、請求項と実施形態の対応関係の一例を説明する。尚、請求項の記載が実施形態の記載に限定されないことは、変形例などに記載した通りである。
<請求項1、6>
印加手段は、例えば、励磁電源401を用いることにより実現される。
第1のコイルは、例えば、サーチコイル404を用いることにより実現される。
第1の検出手段は、例えば、電圧計405を用いることにより実現される。
第2の検出手段は、例えば、電流計403を用いることにより実現される。
取得手段は、例えば、目標波形取得部411を用いることにより実現される。
判定手段は、例えば、収束判定部414を用いることにより実現される。
修正手段は、例えば、波形修正部413を用いることにより実現される。
鉄損導出手段は、例えば、磁束密度導出部415、磁界強度導出部416、および鉄損導出部417を用いることにより実現される。
前記誘起電圧の測定波形および前記誘起電圧の目標波形の相互に対応する時刻における前記誘起電圧の値の差の絶対値の一周期分の積算値は、例えば、誘起電圧の目標波形と測定波形との相互に対応する時刻における差(の絶対値)をそのまま用いるか、誘起電圧の目標波形と測定波形の相互に対応する時刻における差の絶対値の、一周期分の積算値を、誘起電圧の目標波形の値の絶対値の一周期分の積算値に対する割合をとることにより実現される((8)式の左辺、(9)式の左辺を参照)。
前記誘起電圧の測定波形に含まれる複数の周波数成分および前記誘起電圧の目標波形に含まれる複数の周波数成分の同一の周波数成分における振幅の差は、例えば、誘起電圧の目標波形と測定波形とのそれぞれから複数の周波数成分のスペクトルを求め、誘起電圧の目標波形および測定波形における同一の周波数成分のスペクトルの差(の絶対値)を複数の周波数成分のそれぞれについてとることにより実現される((変形例)の項を参照)。
<請求項2>
前記コアの前記所定の領域に巻き回された第2のコイルに誘起される誘起電圧の波形は、例えば、電気機器のコアの所定の領域(磁気特性を測定したい領域)に巻き回したサーチコイルに誘起される誘起電圧の波形を用いることにより実現される。
<請求項3、5>
前記コアの二次元空間における磁束密度ベクトルの数値解は、例えば、電気機器のコアを励磁する励磁巻線に所定の励磁電圧を印加することにより当該コアの所定の領域に発生する磁束密度ベクトルを、マックスウェルの方程式に基づく二次元数値解析を実行することにより求められる。
前記コアの二次元空間における磁束密度ベクトルの数値解に基づいて求められた前記コアの前記所定の領域における誘起電圧の波形は、例えば、電気機器のコアの所定の領域における一周期分の磁束密度ベクトルから、(1)式および(2)式に基づいて、誘起電圧の一周期分の波形を求めることにより求められる。
<請求項4>
前記コアの二次元空間における磁束密度ベクトルの数値解は、前記磁性材料の板面方向の成分を有し、前記磁性材料の板厚方向の成分を有していないことは、例えば、前述した磁束密度ベクトルが、コアを構成する電磁鋼板の板面方向の成分を有し、板厚方向の成分を有しないことに対応する。
(Relationship with claims)
An example of the correspondence between the claims and the embodiments will be described below. It should be noted that the description of the claims is not limited to the description of the embodiment, as described in the modified examples and the like.
<Claims 1 and 6>
The application means is realized by using, for example, an exciting power supply 401.
The first coil is realized, for example, by using the search coil 404.
The first detection means is realized by using, for example, a voltmeter 405.
The second detection means is realized, for example, by using an ammeter 403.
The acquisition means is realized, for example, by using the target waveform acquisition unit 411.
The determination means is realized, for example, by using the convergence test unit 414.
The correction means is realized, for example, by using the waveform correction unit 413.
The iron loss derivation means is realized by using, for example, a magnetic flux density derivation unit 415, a magnetic field strength derivation unit 416, and an iron loss derivation unit 417.
Integrated value of one period of the absolute value of the difference between the value of the induced voltage in the mutually corresponding time measurement waveform and the target waveform of the induced voltage of the induced voltage, for example, the target waveform of the induced voltage and the measured waveform The difference (absolute value) at the time corresponding to each other is used as it is, or the integrated value for one cycle of the absolute value of the difference between the target waveform of the induced voltage and the measurement waveform at the time corresponding to each other is used as the induced voltage. It is realized by taking the ratio of the value of the target waveform of to the integrated value for one cycle of the absolute value (see the left side of the equation (8) and the left side of the equation (9)).
The difference in amplitude between the plurality of frequency components included in the measured waveform of the induced voltage and the plurality of frequency components included in the target waveform of the induced voltage in the same frequency component is, for example, between the target waveform of the induced voltage and the measured waveform. It is realized by obtaining the spectra of multiple frequency components from each and taking (absolute value) the difference (absolute value) of the spectra of the same frequency component in the target waveform and the measured waveform of the induced voltage for each of the multiple frequency components ((deformation) Example)).
<Claim 2>
The waveform of the induced voltage induced in the second coil wound around the predetermined region of the core is, for example, a search coil wound around a predetermined region (region for measuring magnetic characteristics) of the core of an electric device. It is realized by using the waveform of the induced voltage induced in.
<Claims 3 and 5>
The numerical solution of the magnetic flux density vector in the two-dimensional space of the core is, for example, a magnetic flux density vector generated in a predetermined region of the core by applying a predetermined exciting voltage to the exciting winding that excites the core of the electric device. , Obtained by performing a two-dimensional numerical analysis based on Maxwell's equation.
The waveform of the induced voltage in the predetermined region of the core obtained based on the numerical solution of the magnetic flux density vector in the two-dimensional space of the core is, for example, the magnetic flux density for one cycle in the predetermined region of the core of the electric device. It is obtained by obtaining the waveform for one cycle of the induced voltage from the vector based on the equations (1) and (2).
<Claim 4>
The numerical solution of the magnetic flux density vector in the two-dimensional space of the core has a component in the plate surface direction of the magnetic material and does not have a component in the plate thickness direction of the magnetic material. The density vector corresponds to having a component in the plate surface direction of the electromagnetic steel plate constituting the core and not having a component in the plate thickness direction.

401:励磁電源、402:励磁コイル、403:電流計、404:サーチコイル、405:電圧計、410:演算装置、411:目標波形取得部、412:目標波形記憶部、413:波形修正部、414:収束判定部、415:磁束密度導出部、416:磁界強度導出部、417:鉄損導出部、418:出力部、S:測定試料 401: Exciting power supply, 402: Exciting coil, 403: Ammeter, 404: Search coil, 405: Voltmeter, 410: Computational device, 411: Target waveform acquisition unit, 412: Target waveform storage unit, 413: Waveform correction unit, 414: Convergence judgment unit, 415: Magnetic flux density derivation unit, 416: Magnetic field strength derivation unit, 417: Iron loss derivation unit, 418: Output unit, S: Measurement sample

Claims (7)

磁性材料からなる測定試料を励磁するための励磁コイルに励磁電圧を印加する印加手段と、
前記測定試料が励磁されることにより第1のコイルに誘起される誘起電圧を検出する第1の検出手段と、
前記印加手段により前記励磁コイルに前記励磁電圧が印加されることにより前記励磁コイルに流れる励磁電流を検出する第2の検出手段と、
前記誘起電圧の目標波形を取得する取得手段と、
前記第1の検出手段により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定する判定手段と、
前記判定手段により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束していないと判定されると、前記第1の検出手段により検出された前記誘起電圧の測定波形と、前記誘起電圧の目標波形との差に基づいて、前記励磁電圧を修正する修正手段と、
前記判定手段により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束したと判定されると、前記第1の検出手段により検出された前記誘起電圧と、前記第2の検出手段により検出された前記励磁電流とに基づいて前記測定試料の鉄損を導出する鉄損導出手段と、を有し、
前記印加手段は、前記修正手段により前記励磁電圧が修正されると、当該修正された前記励磁電圧を前記励磁コイルに印加し、
前記判定手段により、前記第1の検出手段により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したと判定されるまで、前記修正手段による前記励磁電圧の修正と、前記印加手段による前記励磁電圧の印加と、前記第1の検出手段による前記誘起電圧の検出とが繰り返し行われ、
前記判定手段は、前記誘起電圧の測定波形および前記誘起電圧の目標波形の相互に対応する時刻における前記誘起電圧の値の差の絶対値の一周期分の積算値、または、前記誘起電圧の測定波形に含まれる複数の周波数成分および前記誘起電圧の目標波形に含まれる複数の周波数成分の同一の周波数成分における振幅の差に基づいて、前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定することを特徴とする磁気特性測定システム。
An application means for applying an exciting voltage to an exciting coil for exciting a measurement sample made of a magnetic material, and
A first detection means for detecting an induced voltage induced in the first coil by exciting the measurement sample, and
A second detecting means for detecting the exciting current flowing through the exciting coil when the exciting voltage is applied to the exciting coil by the applying means.
An acquisition means for acquiring the target waveform of the induced voltage, and
A determination means for determining whether or not the measurement waveform of the induced voltage detected by the first detecting means has converged to the target waveform of the induced voltage.
When the determination means determines that the measured waveform of the induced voltage does not converge to the target waveform of the induced voltage, the measured waveform of the induced voltage detected by the first detecting means and the induced voltage A correction means for correcting the excitation voltage based on the difference from the target waveform of
When it is determined by the determination means that the measurement waveform of the induced voltage has converged to the target waveform of the induced voltage, the induced voltage detected by the first detecting means and the second detecting means detect the induced voltage. It has an iron loss deriving means for deriving the iron loss of the measurement sample based on the excited current.
When the exciting voltage is corrected by the correcting means, the applying means applies the corrected exciting voltage to the exciting coil.
Until it is determined by the determination means that the measurement waveform of the induced voltage detected by the first detection means has converged to the target waveform of the induced voltage, the correction of the exciting voltage by the correction means and the correction of the excitation voltage. The application of the exciting voltage by the applying means and the detection of the induced voltage by the first detecting means are repeatedly performed.
Said determining means, measured waveform and the integrated value of one period of the absolute value of the difference between the value of the induced voltage in the mutually corresponding time of target waveform of the induced voltage of the induced voltage, or of the induced voltage Based on the difference in amplitude between the plurality of frequency components included in the measurement waveform and the plurality of frequency components included in the target waveform of the induced voltage in the same frequency component , the measured waveform of the induced voltage is the target waveform of the induced voltage. A magnetic characteristic measurement system characterized in determining whether or not convergence has occurred.
前記取得手段は、前記測定試料を構成する磁性材料と同じ種類の磁性材料を用いて構成されたコアを有する電気機器の当該コアを所定の励磁条件で励磁した場合の当該コアの所定の領域における誘起電圧の波形を、前記誘起電圧の目標波形として取得し、
前記コアの所定の領域における誘起電圧の波形は、前記電気機器に対する誘起電圧の測定波形であり、
前記電気機器に対する誘起電圧の測定波形は、前記コアの前記所定の領域に巻き回された第2のコイルに誘起される誘起電圧の波形であることを特徴とする請求項1に記載の磁気特性測定システム。
The acquisition means is used in a predetermined region of the core when the core of an electric device having a core made of the same type of magnetic material as the magnetic material constituting the measurement sample is excited under predetermined excitation conditions. The waveform of the induced voltage is acquired as the target waveform of the induced voltage.
The waveform of the induced voltage in a predetermined region of the core is a measured waveform of the induced voltage for the electric device.
The magnetic characteristic according to claim 1, wherein the measured waveform of the induced voltage for the electric device is a waveform of the induced voltage induced in the second coil wound around the predetermined region of the core. Measurement system.
前記取得手段は、前記測定試料を構成する磁性材料と同じ種類の磁性材料を用いて構成されたコアを有する電気機器の当該コアを所定の励磁条件で励磁した場合の当該コアの所定の領域における誘起電圧の波形を、前記誘起電圧の目標波形として取得し、
前記コアの所定の領域における誘起電圧の波形は、前記電気機器に対する誘起電圧の解析波形であり、
前記電気機器に対する誘起電圧の解析波形は、前記コアの二次元空間における磁束密度ベクトルの数値解に基づいて求められた前記コアの前記所定の領域における誘起電圧の波形であることを特徴とする請求項1に記載の磁気特性測定システム。
The acquisition means is used in a predetermined region of the core when the core of an electric device having a core made of the same type of magnetic material as the magnetic material constituting the measurement sample is excited under predetermined excitation conditions. The waveform of the induced voltage is acquired as the target waveform of the induced voltage.
The waveform of the induced voltage in a predetermined region of the core is an analysis waveform of the induced voltage for the electric device.
The analysis waveform of the induced voltage for the electric device is a waveform of the induced voltage in the predetermined region of the core obtained based on a numerical solution of the magnetic flux density vector in the two-dimensional space of the core. Item 1. The magnetic characteristic measurement system according to Item 1.
前記コアは、相互に積み重ねられた複数の板状の磁性材料を有し、
前記測定試料を構成する磁性材料の形状は、板状であり、
前記コアの二次元空間における磁束密度ベクトルの数値解は、前記磁性材料の板面方向の成分を有し、前記磁性材料の板厚方向の成分を有していないことを特徴とする請求項3に記載の磁気特性測定システム。
The core has a plurality of plate-shaped magnetic materials stacked on each other.
The shape of the magnetic material constituting the measurement sample is plate-like.
3. The numerical solution of the magnetic flux density vector in the two-dimensional space of the core is characterized in that it has a component in the plate surface direction of the magnetic material and does not have a component in the plate thickness direction of the magnetic material. The magnetic property measurement system described in.
前記取得手段は、前記電気機器の前記コアを所定の励磁条件で励磁したときに前記コアの二次元空間に発生する磁束密度ベクトルおよび渦電流ベクトルの数値解を、マックスウェルの方程式に基づく数値解析を行うことにより求め、当該求めた磁束密度ベクトルの数値解に基づいて求められた誘起電圧の波形を、前記測定試料における前記誘起電圧の目標波形として取得することを特徴とする請求項3または4に記載の磁気特性測定システム。 The acquisition means numerically analyzes the numerical solutions of the magnetic flux density vector and the eddy current vector generated in the two-dimensional space of the core when the core of the electric device is excited under a predetermined excitation condition, based on Maxwell's equation. 3 or 4 is characterized in that the waveform of the induced voltage obtained based on the numerical solution of the obtained magnetic flux density vector is obtained as the target waveform of the induced voltage in the measurement sample. The magnetic characteristic measurement system described in. 前記修正手段は、前記第1の検出手段により検出された前記誘起電圧の測定波形に含まれる高次の高調波成分を除去した上で、前記誘起電圧の目標波形との差に基づいて、前記励磁電圧を修正することを特徴とする請求項1〜5の何れか1項に記載の磁気特性測定システム。 The correction means removes higher-order harmonic components included in the measurement waveform of the induced voltage detected by the first detecting means, and then based on the difference between the induced voltage and the target waveform. The magnetic characteristic measuring system according to any one of claims 1 to 5, wherein the exciting voltage is corrected. 磁性材料からなる測定試料を励磁するための励磁コイルに励磁電圧を印加する印加工程と、
前記測定試料が励磁されることにより第1のコイルに誘起される誘起電圧を検出する第1の検出工程と、
前記印加工程により前記励磁コイルに前記励磁電圧が印加されることにより前記励磁コイルに流れる励磁電流を検出する第2の検出工程と、
前記誘起電圧の目標波形を取得する取得工程と、
前記第1の検出工程により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定する判定工程と、
前記判定工程により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束していないと判定されると、前記第1の検出工程により検出された前記誘起電圧の測定波形と、前記誘起電圧の目標波形との差に基づいて、前記励磁電圧を修正する修正工程と、
前記判定工程により、前記誘起電圧の測定波形が前記誘起電圧の目標波形に収束したと判定されると、前記第1の検出工程により検出された前記誘起電圧と、前記第2の検出工程により検出された前記励磁電流とに基づいて前記測定試料の鉄損を導出する鉄損導出工程と、を有し、
前記印加工程は、前記修正工程により前記励磁電圧が修正されると、当該修正された前記励磁電圧を前記励磁コイルに印加し、
前記判定工程により、前記第1の検出工程により検出された前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したと判定されるまで、前記修正工程による前記励磁電圧の修正と、前記印加工程による前記励磁電圧の印加と、前記第1の検出工程による前記誘起電圧の検出とが繰り返し行われ、
前記判定工程は、前記誘起電圧の測定波形および前記誘起電圧の目標波形の相互に対応する時刻における前記誘起電圧の値の差の絶対値の一周期分の積算値、または、前記誘起電圧の測定波形に含まれる複数の周波数成分および前記誘起電圧の目標波形に含まれる複数の周波数成分の同一の周波数成分における振幅の差に基づいて、前記誘起電圧の測定波形が、前記誘起電圧の目標波形に収束したか否かを判定することを特徴とする磁気特性測定方法。
An application process in which an exciting voltage is applied to an exciting coil for exciting a measurement sample made of a magnetic material, and
The first detection step of detecting the induced voltage induced in the first coil by exciting the measurement sample, and
A second detection step of detecting the exciting current flowing through the exciting coil by applying the exciting voltage to the exciting coil by the application step, and
The acquisition process for acquiring the target waveform of the induced voltage and
A determination step of determining whether or not the measurement waveform of the induced voltage detected by the first detection step has converged to the target waveform of the induced voltage.
When it is determined by the determination step that the measured waveform of the induced voltage does not converge to the target waveform of the induced voltage, the measured waveform of the induced voltage detected by the first detection step and the induced voltage The correction step of correcting the excitation voltage based on the difference from the target waveform of
When it is determined by the determination step that the measurement waveform of the induced voltage has converged to the target waveform of the induced voltage, the induced voltage detected by the first detection step and the detection by the second detection step are detected. It has an iron loss derivation step of deriving the iron loss of the measurement sample based on the excited current.
In the application step, when the exciting voltage is corrected by the correction step, the corrected exciting voltage is applied to the exciting coil.
The correction of the excitation voltage by the correction step and the correction of the excitation voltage by the correction step until it is determined by the determination step that the measurement waveform of the induced voltage detected by the first detection step has converged to the target waveform of the induced voltage. The application of the exciting voltage by the application step and the detection of the induced voltage by the first detection step are repeatedly performed.
The determining step, measured waveform and the integrated value of one period of the absolute value of the difference between the value of the induced voltage in the mutually corresponding time of target waveform of the induced voltage of the induced voltage, or of the induced voltage Based on the difference in amplitude between the plurality of frequency components included in the measurement waveform and the plurality of frequency components included in the target waveform of the induced voltage in the same frequency component , the measured waveform of the induced voltage is the target waveform of the induced voltage. A method for measuring magnetic characteristics, which comprises determining whether or not the voltage has converged to.
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