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CN106357185B - Permanent magnet synchronous motor torque control method - Google Patents

Permanent magnet synchronous motor torque control method Download PDF

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Publication number
CN106357185B
CN106357185B CN201611002479.8A CN201611002479A CN106357185B CN 106357185 B CN106357185 B CN 106357185B CN 201611002479 A CN201611002479 A CN 201611002479A CN 106357185 B CN106357185 B CN 106357185B
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motor
current
torque
formula
vector
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CN106357185A (en
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任秉韬
徐薇
赵海艳
赵明星
陈虹
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Jilin University
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Jilin University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02PCONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
    • H02P21/00Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
    • H02P21/0003Control strategies in general, e.g. linear type, e.g. P, PI, PID, using robust control
    • H02P21/0017Model reference adaptation, e.g. MRAS or MRAC, useful for control or parameter estimation
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L15/00Methods, circuits, or devices for controlling the traction-motor speed of electrically-propelled vehicles
    • B60L15/20Methods, circuits, or devices for controlling the traction-motor speed of electrically-propelled vehicles for control of the vehicle or its driving motor to achieve a desired performance, e.g. speed, torque, programmed variation of speed
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B60VEHICLES IN GENERAL
    • B60LPROPULSION OF ELECTRICALLY-PROPELLED VEHICLES; SUPPLYING ELECTRIC POWER FOR AUXILIARY EQUIPMENT OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRODYNAMIC BRAKE SYSTEMS FOR VEHICLES IN GENERAL; MAGNETIC SUSPENSION OR LEVITATION FOR VEHICLES; MONITORING OPERATING VARIABLES OF ELECTRICALLY-PROPELLED VEHICLES; ELECTRIC SAFETY DEVICES FOR ELECTRICALLY-PROPELLED VEHICLES
    • B60L2240/00Control parameters of input or output; Target parameters
    • B60L2240/40Drive Train control parameters
    • B60L2240/42Drive Train control parameters related to electric machines
    • B60L2240/423Torque
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
    • Y02T10/60Other road transportation technologies with climate change mitigation effect
    • Y02T10/64Electric machine technologies in electromobility
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02TCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
    • Y02T10/00Road transport of goods or passengers
    • Y02T10/60Other road transportation technologies with climate change mitigation effect
    • Y02T10/72Electric energy management in electromobility

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Transportation (AREA)
  • Mechanical Engineering (AREA)
  • Control Of Ac Motors In General (AREA)
  • Electric Propulsion And Braking For Vehicles (AREA)

Abstract

A kind of permanent magnet synchronous motor method for controlling torque, belongs to control technology field.The object of the present invention is to provide being based on driving torque estimated demand and PREDICTIVE CONTROL in one, to solve the problems, such as driver's drive/braking and improve the compromise optimization of the more demands for control of efficiency and establish the permanent magnet synchronous motor method for controlling torque that optimization problem solving screening principle improves computational efficiency.Motor torque PREDICTIVE CONTROL process of the invention is: first that torque reference value is equations turned according to motor is motor stator vector current reference value;Establish the relational expression between three-phase inverter switch state and the vector voltage of output;Estimate the current value of next time domain;Optimal switch combination state acts on inverter AC motor.Method for controlling torque of the present invention, acquire the driving moment value according to needed for the mechanical external characteristic curve of permanent magnet synchronous motor calculating vehicle of driver pedal information and vehicle wheel rotational speed information, effectively explain drive/braking power demand of driver, reference is provided for subsequent motor control, improves system reliability.

Description

Permanent magnet synchronous motor method for controlling torque
Technical field
The invention belongs to control technology fields.
Background technique
Current new-energy automobile is paid close attention to the characteristics of its energy-saving and emission-reduction by various circles of society, and various countries or even major automobile are obtained The Devoting Major Efforts To Developing of manufacturer and application.Especially wheel hub electric drive automobile, because being driven using hub motor technology especially four-wheel wheel hub Dynamic motor, so that vehicle four-wheel drive power is individually controllable, vehicle powered is more flexible, conveniently, can effectively improve electronic vapour The driving performance of vehicle in the presence of a harsh environment just gradually becomes the following most potential pure electric automobile type.As electronic The main selection of automotive hub driving motor, permanent magnet synchronous motor is because it is with small in size, light weight, reliable for operation, big torque The advantages that output, speed-regulating range width, high power density and high efficiency, it can satisfy high performance electric vehicle drive and control of electric machine system The basic demand of system.
Hub motor while the driving dynamics demand for meeting electric car, will also meet and run over as driving source The performance of comfort, environmental suitability and the continual mileage that can be travelled that once charges in journey.Therefore, electricity is driven as wheel hub The permanent magnet synchronous motor control technology of machine not only needs to meet the torque actuated and braking requirement of driver, also will be by reducing electricity Machine loss improves the demand for control of driving efficiency, this is a problem of multiple target is realized, thus with general industry motor phase More stringenter, complicated than control requirement, this is also one of the key problem of wheel hub electric drive automobile development.
Currently, the control method for permanent magnet synchronous motor mainly has vector controlled and Direct Torque Control, in recent years Due to the fast development of microprocessor, the computing capability of digitial controller, which has, greatly to be promoted, so that some advanced controls are calculated Method, especially Model Predictive Control Algorithm are able to realize in motor control.Many experts drive in permanent magnet synchronous motor and control System aspect has carried out many effort, and the implementation for being directed to PREDICTIVE CONTROL also proposed some relatively molding methods, such as patent CN201310740488, CN201610197283, CN201610533077, CN201510676715 etc., but published special There are still some problems to be solved in sharp method: (1) making motor while meeting drive/brake power demand, realization subtracts The loss of motor and inverter improves the multi objective control demand of whole efficiency in few drive system;(2) it is effectively treated existing Physical constraint, such as current limit;(3) calculating that screening principle reduces candidate solution is formulated in solution procedure, reduces iteration time Number reduces computation burden, to improve algorithm computational efficiency.
Therefore, research can effectively meet more demands for control of driver's dynamic property and economy, handle already present constraint Limitation improves autonomous regulating power, the permanent magnet synchronous motor Stator-Quantities Control of fast response time, to wheel hub electric drive automobile electricity Meaning is very great for the development of control technology.
Summary of the invention
The object of the present invention is to provide driving torque estimated demand and PREDICTIVE CONTROL is based in one, driven with solving driver/ Braking and the compromise for improving the more demands for control of efficiency optimize and establish optimization problem solving screening principle and improve computational efficiency problem Permanent magnet synchronous motor method for controlling torque.
Motor torque PREDICTIVE CONTROL process of the invention is:
It is motor stator vector current reference value that step 1) is first equations turned according to motor by torque reference value;
Step 2 establishes the relational expression between three-phase inverter switch state and the vector voltage of output;
The current motor three-phase electricity flow valuve of acquisition is carried out clark and park and is transformed to d-q under rotor coordinate by step 3) Shaft current, and according to the corresponding vector voltage of candidate switch state and permanent magnet synchronous motor electric current dynamical equation estimation it is next when The current value in domain;
Step 4) passes through the cost function and restrict of optimization problem, and screening principle relatively obtains optimal switch Assembled state acts on inverter AC motor.
Step of the invention is:
Step 1): first that single motor torque reference value is equations turned according to motor is permanent magnet synchronous motor in rotor coordinate The reference value of stator d-q axial vector electric current under system:
(5)
In formula,WithRespectively indicate d axis and q shaft current of the motor under rotor coordinate, unit A, whereinIt indicates Reference value;
Step 2: it establishes between the d-q axis output vector voltage under three-phase inverter switch state and rotor coordinate Relational expression:
The output voltage for defining tri- bridges of a, b, c first is respectively, unit V, calculate it is as follows:
(6)
In formula,Indicate bus DC voltage, unit V;Respectively indicate threephase switch state, only 0 With 1 two states, dimensionless unit;There are the phase shifts of an orthogonal vectors between each bridge of three-phase bridge circuit, i.e.,, thus define output voltage vectorFor the vector of three-phase voltage With:
(7)
It willIt brings (7) into, is then expressed as output voltage vectorMatrix form on axis:
(8)
It is converted using Park,Vector voltage on axisBe converted to rotor coordinate Under stator d-q axis vector voltage, it may be assumed that
(9)
The rotor angular displacement of permanent magnet synchronous motor, unit rad are indicated in formula;By above formula (8) and (9), inversion is obtained Relational expression between device switch state signal and stator d-q axial vector voltage:
(10)
Step 3): the current value estimation process at next moment:
Firstly, collecting a, b, c three-phase electricity flow valuve of current motor, unit A, also according to clark and Park transformation, is converted into the vector current of stator d-q axis under rotor coordinate, the initial state value as PREDICTIVE CONTROL, it may be assumed that
(11)
Then, it according to Kirchoff voltage law and inductance characteristic, establishes under permanent-magnetic synchronous motor rotor coordinate system and determines Sub- d-q shaft current equation, it may be assumed that
(12)
In formula,Indicate armature resistance, unitWithRespectively indicate d-q axle inductance, unit H;It is extremely right to indicate Number, dimensionless;Indicate permanent magnetism ferromagnetic flux, unit Wb;
Then, formula (10) is brought into (12), arranges and obtains control to input being the good quantity of state of switch state being d-q vector The dynamical equation of electric current:
(13)
Defined variable, then formula (13) is convertible For
Using trapezoidal integration discretization dynamical equation (13), calculation formula:
(14)
In formula, the subsequent time d-q shaft current vector value of estimation is indicated, indicate intermediate calculations, indicate systematic sampling week Phase, unit s;Regulatory factor between 0-1, dimensionless;
Step 4): optimal switch combination: formulating the objective function of motor torque predictive controller, as follows:
(15)
In formula,Indicate weighting coefficient, unit is respectivelyWithIndicate current optimal mesh Scalar functions, unit dimensionless;Respectively indicate torque tracking error minimum and minimum two sub-goals of energy consumption, unit Dimensionless.
The acquisition of single motor torque reference value of the present invention:
According to the mechanical external characteristic curve of permanent magnet synchronous motor, motor driving shaft needed for estimating current state vehicle turns Square:
(1)
(2)
In formula,WithDriving torque needed for respectively indicating vehicle and braking moment, unit Nm;WithTable respectively Show the accelerator pedal and brake pedal aperture (0-1) of driver, dimensionless;It indicates between motor output shaft and wheel axis of torque Transmission ratio, generally higher than 1, dimensionless;Indicate real-time motor output shaft revolving speed, unit rad/s;Table Show real-time motor maximum axis output torque, unit Nm is one about revolving speedFunction, determined by revolving speed and external characteristics;
Real-time motor maximum axis output torqueCalculating it is as follows:
(3)
In formulaFor maximum power,For maximum output torque;
Single hub motor expectation torque value is calculated, as follows:
(4).
Minimum torque tracking error of the present inventionAnd lowest energy consumption:
1.In, estimation obtains drive/braking moment desired value such as formula (4) of single motor, and is converted into motor electricity The reference value of stream such as formula (5) is referred to by controlling the subsequent time predicted current follow current of d-q axis of permanent magnet synchronous motor It is minimum to be worth error, realizes that good longitudinal direction of car accelerates and braking ability performance;
2. motor driven systems energy consumption includes the copper loss and inverter switching device loss of motor itself, motor itself copper in It damages related with electrical current, it may be assumed that
(16)
In formula,It indicatesCopper loss energy energy consumption in time interval, unit J;
Inverter switching device loss includes 6 IGBT switch-off losses and conduction loss on three-phase bridge arm, defines inferior horn MarkIndicate three bridge arms of a, b, c inverter, then thePhase IGBT is singleLoss of energy in time interval, single Position J, calculates as follows:
(17)
In formula,It is illustrated respectively inIGBT is switched on the single bridge arm of inverter in time interval Nominal condition under conducting, closure and turn-off power loss energy, unit J;It respectively indicates under IGBT switch nominal condition Electric current and voltage value, unit is respectively A and V;, dimensionless, unit J; Indicate inverter theThe state of bridge arm current switch changes, if current switch states are, last moment switch state is, then
The three-phase bridge arm of inverter amounts to energy loss, unit J:
(18)
In formula, switch state diverse vector
, dimension 3* 1, dimensionless;Indicate the predicted value of the subsequent time of abc vector current, unit A is calculated by following formula:
(19)
In formula,WithIt can be calculated by formula (11), (13) and (14);
3. two steps screen principle: screening out the candidate switch shape for not meeting motor operating conditions before calculating target function State, two steps screen principle:
A, minimum switch losses principle is carried out, the candidate solution of every time domain is reduced to 4 by 8, can describe it as
B, it constrains, constrained for permanent magnet synchronous motor d-q shaft current clipping, predicted value exceeded Bounds switch state candidate solution screens out.
The medicine have the advantages that
1. the basis of method for controlling torque of the present invention, acquisition driver pedal information and vehicle wheel rotational speed information is forever Driving moment value needed for the mechanical external characteristic curve of magnetic-synchro motor calculates vehicle, effectively explains drive/braking of driver Power demand provides reference for subsequent motor control, improves system reliability.
2. permanent magnet synchronous motor torque prediction control method of the present invention can effectively be located using forecast Control Algorithm This multiple target complex optimization control problem is managed, and dominant processing current limit constrains, effectively realizes dynamic property and economy Two different demands.
3. screening principle method of the present invention, reduces the number of iterations, the calculated performance of holistic approach is improved, It calculates simultaneously clear in structure simple, is easy to combine realization and method upgrading.
Detailed description of the invention
Fig. 1 is to implement wheel hub electric drive automobile structure schematic diagram of the present invention;
Fig. 2 is to implement two-stage three-phase full-bridge inverter and permanent magnet synchronous motor connection structure schematic diagram of the present invention;
Fig. 3 is to implement the permanent magnet synchronous motor torque of the present invention based on driving torque estimated demand and PREDICTIVE CONTROL Control system functional block diagram;
Fig. 4 is the overview flow chart for implementing direct torque process of the present invention;
Fig. 5 is to implement Model Predictive Control basic schematic diagram of the present invention;
Fig. 6 is the different Switch State Combination in Power Systems figures for implementing three-phase inverter of the present invention.
Specific embodiment
It is wheel hub electric drive automobile that the present invention, which relies on platform, and structural representation is as shown in Figure 1, mainly include four independent Hub motor 1,2,3,4(motor obtain current information and wheel speed information by sensor measurement), four corresponding motors Controller 5,6,7,8, an entire car controller 10, and be entire car controller 10 and Permanent Magnet Synchronous Motor Controller 5,6,7,8 Between the CAN network 11 of communication is provided, there are also battery packs 9 to provide power supply for four motors.The effect of entire car controller 10 is exactly According to the rotary speed information of driver's corresponding four wheels that drive/brake command and electric machine controller 5,6,7,8 provide in real time, lead to It crosses and vehicle drive/braking requirement torque is calculated, and the reference command as four motors.The master of electric machine controller 5,6,7,8 Wanting function is that acquisition rotary speed information feeds back to entire car controller, according to the torque command that entire car controller 10 provides, controls inversion Device drives the tracing control of the torque fast and stable of corresponding hub motor 1,2,3,4.Permanent magnet synchronous motor and two in the present invention Grade three-phase full-bridge inverter connection structure, as shown in Fig. 2, the IGBT that wherein two-stage three-phase full-bridge inverter is indicated by 6 Q1-Q6 It is constituted with freewheeling diode switch combination.
Torsion control system of synchronization generator with everlasting magnetic structure based on driving torque estimated demand and PREDICTIVE CONTROL of the invention Block diagram vehicle torque-demand computing module, permanent magnet synchronous motor PREDICTIVE CONTROL module as shown in figure 3, be mainly made of.Totality side Method process is as shown in Figure 4.Firstly, vehicle torque-demand estimation block, acquires driver's acceleration-brake pedal information and wheel turns Fast information, according to the mechanical external characteristic curve of permanent magnet synchronous motor, motor driving shaft needed for estimating current state vehicle turns Square.Then, in permanent magnet synchronous motor torque prediction control module,
It is motor stator vector current reference value that step 1) is first equations turned according to motor by torque reference value;
Step 2 establishes the relational expression between three-phase inverter switch state and the vector voltage of output;
The current motor three-phase electricity flow valuve of acquisition is carried out clark and park and is transformed to d-q under rotor coordinate by step 3) Shaft current, and according to the corresponding vector voltage of candidate switch state and permanent magnet synchronous motor electric current dynamical equation estimation it is next when The current value in domain;
Step 4) by the cost function of optimization problem (current track error minimum and motor-inverter losses are minimum) and Screening principle relatively obtains optimal switch combination state, acts on inverter AC motor.Driver-vehicle control is completed above Device-electric machine controller-inverter-motor-vehicle-controller closed-loop control processed.
Permanent magnet synchronous motor torque prediction control module
Model Predictive Control is multi-step prediction, and basic thought can be described as the open loop in one finite time-domain of line solver Optimal control problem, while guaranteeing that system meets objective function, state and input constraint etc..PREDICTIVE CONTROL can be summarized simply as follows Three steps: according to the current measurement information of acquisition and the following dynamic of prediction model forecasting system;Guarantee objective function and constraint condition Lower line solver optimization problem;First element interaction of solution is in system.Model Predictive Control is to repeat at every sampling moment It carries out, and the following dynamic starting point of forecasting system is current measured value, that is, uses the measured value of each sampling instant as in advance The primary condition of survey.The basic principle of Model Predictive Control is as shown in Figure 5.In current time t, measured value is obtained from controlled system, according to metrical information and prediction model, forecasting system is in prediction time domainThe interior following dynamic behaviour, optimize open loop Energy target function (there are four parts for objective function in the present invention), searches out control time domainInterior optimal control list entries, so that the system output of prediction is with the output of desired system closer to better, i.e. in Fig. 5 hatched area minimum.
Step of the invention is: (motor torque PREDICTIVE CONTROL process is shown in Fig. 4)
Step 1): first that single motor torque reference value is equations turned according to motor is permanent magnet synchronous motor in rotor coordinate The reference value of stator d-q axial vector electric current under system, in permanent magnet synchronous motor characteristicIt is proportional to motor electromagnetic torque, by This can convert torque tracking problem to current follow-up control problem, while to reduce reactive power and reluctance torque, need so thatIt is small as far as possible close to 0:
(5)
In formula,WithRespectively indicate d axis and q shaft current of the motor under rotor coordinate, unit A, whereinIt indicates Reference value.
Step 2: it establishes between the d-q axis output vector voltage under three-phase inverter switch state and rotor coordinate Relational expression:
The output voltage for defining tri- bridges of a, b, c first is respectively, unit V, calculate it is as follows:
(6)
In formula,Indicate bus DC voltage, unit V;Respectively indicate threephase switch state, only 0 With 1 two states, dimensionless unit;There are the phase shifts of an orthogonal vectors between each bridge of three-phase bridge circuit, i.e.,, thus define output voltage vectorFor the vector sum of three-phase voltage:
(7).
It willIt brings (7) into, is then expressed as output voltage vectorMatrix form on axis:
(8).
It is converted using Park,Vector voltage on axisBe converted to rotor coordinate Under stator d-q axis vector voltage, it may be assumed that
(9)
The rotor angular displacement of permanent magnet synchronous motor, unit rad are indicated in formula;By above formula (8) and (9), inversion is obtained Relational expression between device switch state signal and stator d-q axial vector voltage:
(10)。
Step 3): the current motor three-phase electricity flow valuve of acquisition is subjected to clark and park and is transformed to d-q under rotor coordinate Shaft current, and according to the corresponding vector voltage of candidate switch state and permanent magnet synchronous motor electric current dynamical equation estimation it is next when The current value at quarter.
Firstly, collecting a, b, c three-phase electricity flow valuve of current motor, unit A, also according to clark and Park transformation, is converted into the vector current of stator d-q axis under rotor coordinate, the initial state value as PREDICTIVE CONTROL, it may be assumed that
(11).
Then, it according to Kirchoff voltage law and inductance characteristic, establishes under permanent-magnetic synchronous motor rotor coordinate system and determines Sub- d-q shaft current equation, it may be assumed that
(12)
In formula,Indicate armature resistance, unitWithRespectively indicate d-q axle inductance, unit H;Indicate pole Logarithm, dimensionless;Indicate permanent magnetism ferromagnetic flux, unit Wb.
Then, formula (10) is brought into (12), arranges and obtains control to input being the good quantity of state of switch state being d-q vector The dynamical equation of electric current:
(13).
For convenient for subsequent calculating, defined variable, Then formula (13) can be exchanged into
To improve discrete accuracy, the present invention uses trapezoidal integration discretization dynamical equation (13), calculation formula:
(14)
In formula, the subsequent time d-q shaft current vector value of estimation is indicated, indicate intermediate calculations, indicate systematic sampling week Phase, unit s;Regulatory factor between 0-1, dimensionless.
Step 4): pass through the cost function of optimization problem (current track error minimum and motor-inverter losses are minimum) Optimal switch combination state is relatively obtained with screening principle, acts on inverter AC motor.Firstly, according to above-mentioned dynamic Power and economy demand formulate the objective function of motor torque predictive controller, as follows:
(15)
In formula,Indicate weighting coefficient, unit is respectivelyWithIndicate current optimal mesh Scalar functions, unit dimensionless;Respectively indicate torque tracking error minimum and minimum two sub-goals of energy consumption, unit Dimensionless.
The acquisition of single motor torque reference value of the present invention:
The core concept of maximum transmitted torque estimating algorithm of the present invention is acquisition driver's acceleration-brake pedal information and vehicle Real-time rotary speed information is taken turns, according to the mechanical external characteristic curve of permanent magnet synchronous motor, motor needed for estimating current state vehicle Shaft torque is driven, principle is as follows:
(1)
(2)
In formula,WithDriving torque needed for respectively indicating vehicle and braking moment, unit Nm;WithTable respectively Show the accelerator pedal and brake pedal aperture (0-1) of driver, dimensionless;It indicates between motor output shaft and wheel axis of torque Transmission ratio, generally higher than 1, dimensionless;Indicate real-time motor output shaft revolving speed, unit rad/s;Table Show real-time motor maximum axis output torque, unit Nm is one about revolving speedFunction, determined by revolving speed and external characteristics; From the external characteristics of motor it is found that not up to maximum power limits when motor low speedWhen,It is constant, it is equal to most Big output torque, motor can accelerate along external characteristic curve with permanent torque;As motor speed is gradually increased, motor reaches To after maximum power point, it can be accelerated with invariable power, maximum axis output torque can be gradually reduced in real time.
Real-time motor maximum axis output torque as a result,Calculating it is as follows:
(3)
In formulaFor maximum power,For maximum output torque.
Since driver cannot operate acceleration and braking simultaneously, soWithThe sum of be total operator torque request, Vehicle optimization is carried out based on motor energy efficiency convex curve characteristic according to early-stage study discovery, mean allocation front and back wheel wheel hub electricity can be obtained Machine torque can make Full Vehicle System torque distribution energy consumption minimum, and single hub motor expectation torque value is thus calculated, as follows:
(4).
Minimum torque tracking error of the present inventionAnd lowest energy consumption:
1.In, motor torque control system meets drive/braking moment dynamic property demand of driver first, protects Demonstrate,proving vehicle can be according to the intention acceleration-deceleration of driver.In order to realize this target, according to the analysis of front, estimation obtains list The drive of a motor/braking moment desired value such as formula (4), and it is converted into the reference value such as formula (5) of current of electric, pass through control The subsequent time predicted current follow current reference value error of the d-q axis of permanent magnet synchronous motor is minimum, realizes that good vehicle is vertical To acceleration and braking ability performance;
2. while guaranteeing vehicles dynamic performance, reducing the energy consumption of motor driven systems in, improving vehicle efficiency. Motor driven systems energy consumption includes the copper loss and inverter switching device loss of motor itself, and motor itself copper loss and electrical current have It closes, it may be assumed that
(16)
In formula,It indicatesCopper loss energy energy consumption in time interval, unit J;
Inverter switching device loss includes 6 IGBT switch-off losses and conduction loss on three-phase bridge arm, defines inferior horn MarkIndicate three bridge arms of a, b, c inverter, then thePhase IGBT is singleLoss of energy in time interval, single Position J, calculates as follows:
(17)
In formula,It is illustrated respectively inIGBT is switched on the single bridge arm of inverter in time interval Nominal condition under conducting, closure and turn-off power loss energy, unit J;It respectively indicates under IGBT switch nominal condition Electric current and voltage value, unit is respectively A and V;, dimensionless, unit J; Indicate inverter theThe state of bridge arm current switch changes, if current switch states are, last moment switch state is, then;WhenWhen, when inverter switching states do not change, there is an IGBT It tends to remain on, another is still remained off, so there are conduction losses;WhenWhen, inverter When switch state changes, meeting one, two IGBT switch on single bridge arm turns off another closure, so there is shutdown Loss and closure loss.
Therefore, the three-phase bridge arm of inverter amounts to energy loss, unit J:
(18)
In formula, switch state diverse vector
, dimension 3* 1, dimensionless;Indicate the predicted value of the subsequent time of abc vector current, unit A is calculated by following formula:
(19)
In formula,WithIt can be calculated by formula (11), (13) and (14).
Vehicle longitudinal direction acceleration-braking power performance of controller of the present invention and the economy of drive system efficiency Energy target is realized by constructing corresponding cost function.Mutual specific gravity is adjusted between them by weighting coefficient, To realize the optimization of the compromise between the multiple demand different performance indexs of vehicle.
3. two steps screen principle: due to the different Switch State Combination in Power Systems of inverter, generating 8 kinds of different voltage to be selected arrows Amount, as shown in fig. 6, wherein 6 be effective vector, in addition 2 be zero vector, do not generate output voltage.To make full use of micro- place Device limited resources are managed, unnecessary iteration is reduced and compares, needs to screen out before calculating target function and does not meet motor operation The candidate switch state of condition reduces computation burden, to improve calculating speed.Here is two steps screening principle.
A, when carrying out minimum switch losses principle, i.e. switching, only consider a switching or all remain unchanged, with It avoids generating the voltage vector completely contradictedWith, to reduce pulsation of current, therefore the candidate solution of every time domain is reduced by 8 It is 4, can describes it as
B, it constrains, constrained for permanent magnet synchronous motor d-q shaft current clipping, predicted value exceeded Bounds switch state candidate solution screens out.
It is shown in Figure 4, when the switch state of selection meets the minimum switch losses i.e. A of principle, carry out step 3), estimation Subsequent time current value is shown in formula (13) and (14);If do not met, Returning switch state Candidate Set is chosen next in order A switch state.When the subsequent time current value of step 3) estimation meets the current limit i.e. B of constraint, it is logical to continue step 4) The cost function for crossing optimization problem relatively obtains so that the smallest optimized switching assembled state of functional value, is shown in formula (15), then Act on inverter switching device;If do not met, Returning switch state Candidate Set chooses next switch state in order.Pass through two Step screening principle, rejected in advance fall ineligible candidate switch state, reduce the estimation and optimization of subsequent time current value The calculation times of function, reduce the computation burden of entire control system, to improve the operation efficiency of holistic approach.
The present invention is first according to driver pedal information and vehicle wheel rotational speed information, electricity needed for estimating current state vehicle Machine drives shaft torque, and permanent magnet synchronous motor torque controller is then designed using predictive control algorithm, with effective tracking driving Shaft torque target value obtains good acceleration or braking ability, while the loss for reducing motor and inverter improves vehicle energy Effect.The estimation of driving moment needed for vehicle based on driver pedal information and vehicle wheel rotational speed information effectively explains current vehicle The drive of driver/brake power demand under state and running environment.This multiple target can be effectively treated using forecast Control Algorithm Complex optimization control problem, and dominant processing constrains, and effectively realizes driver's drive/braking dynamic property demand and improves system Compromise optimization between the economy demand of efficiency.

Claims (1)

1.一种永磁同步电机转矩控制方法,其特征在于:电机转矩预测控制流程是:1. a permanent magnet synchronous motor torque control method, is characterized in that: the motor torque prediction control process is: 步骤1)先将转矩参考值根据电机方程转化为电机定子矢量电流参考值;Step 1) First convert the torque reference value into the motor stator vector current reference value according to the motor equation; 其中单个电机转矩参考值的获得:Among them, the obtaining of the torque reference value of a single motor: 根据永磁同步电机的机械外特性曲线,估算出当前状态车辆所需的电机驱动轴转矩:According to the mechanical external characteristic curve of the permanent magnet synchronous motor, the motor drive shaft torque required by the vehicle in the current state is estimated: Ta=a·4kTωme) (1)T a =a·4kT ωme ) (1) Tb=-b·4kTωme) (2)T b = -b·4kT ωme ) (2) 式中,Ta和Tb分别表示整车所需的驱动转矩和制动转矩,单位Nm;a和b分别表示驾驶员的加速踏板和制动踏板开度,无量纲;k表示电机输出轴和车轮力矩轴之间的传动比;ωe表示实时的电机输出轴转速,单位rad/s;Tωme)表示实时的电机最大轴输出转矩,单位Nm,是一个关于转速ωe的函数,由转速和外特性决定;In the formula, T a and T b represent the driving torque and braking torque required by the vehicle, respectively, in Nm; a and b represent the driver's accelerator pedal and brake pedal opening, respectively, dimensionless; k represents the motor The transmission ratio between the output shaft and the wheel torque shaft; ω e represents the real-time motor output shaft speed, in rad/s; T ωme ) represents the real-time motor maximum shaft output torque, in Nm, which is an The function of ω e , which is determined by the rotational speed and external characteristics; 实时的电机最大轴输出转矩Tωme)的计算如下:The real-time motor maximum shaft output torque T ωme ) is calculated as follows: 式中Pmax为最大功率,Tmax为最大输出转矩;where P max is the maximum power, and T max is the maximum output torque; 计算得到单个轮毂电机期望转矩值,如下:Calculate the expected torque value of a single in-wheel motor as follows: 步骤2)建立三相逆变器开关状态和输出的矢量电压之间的关系式;Step 2) establishing a relationship between the switching state of the three-phase inverter and the output vector voltage; 步骤3)将采集的当前电机三相电流值进行clark和park变换为转子坐标系下d-q轴电流,并根据候选开关状态对应的矢量电压和永磁同步电机电流动态方程估算下一个时域的电流值;Step 3) Transform the collected three-phase current values of the motor into d-q-axis currents in the rotor coordinate system by clark and park, and estimate the current in the next time domain according to the vector voltage corresponding to the candidate switch state and the current dynamic equation of the permanent magnet synchronous motor value; 步骤4)通过优化问题的代价函数和约束限制,以及筛选原则比较得到最优的开关组合状态,作用逆变器驱动电机;Step 4) Comparing the cost function and constraint limit of the optimization problem and the screening principle to obtain the optimal switch combination state, which is used by the inverter to drive the motor; 上述步骤1)至4)的具体过程如下:The concrete process of above-mentioned steps 1) to 4) is as follows: 步骤1):先将单个电机转矩参考值根据电机方程转化为永磁同步电机在转子坐标系下的定子d-q轴矢量电流的参考值:Step 1): First, convert the torque reference value of a single motor into the reference value of the stator d-q axis vector current of the permanent magnet synchronous motor in the rotor coordinate system according to the motor equation: 式中,Id和Iq分别表示电机在转子坐标系下的d轴和q轴电流,单位A,其中*表示参考值,表示电机参考转矩;In the formula, I d and I q represent the d-axis and q-axis currents of the motor in the rotor coordinate system, respectively, in units of A, where * represents the reference value, Indicates the motor reference torque; 步骤2):建立三相逆变器开关状态和转子坐标系下的d-q轴输出矢量电压之间的关系式:Step 2): Establish the relationship between the switching state of the three-phase inverter and the output vector voltage of the d-q axis in the rotor coordinate system: 首先定义a、b、c三个桥的输出电压分别为VaN、VbN、VcN,单位V,计算如下:First define the output voltages of the three bridges a, b, and c as V aN , V bN , and V cN , in units of V, and the calculation is as follows: VaN=Sa·Vdc V aN =S a ·V dc VbN=Sb·Vdc V bN =S b ·V dc VcN=Sc·Vdc (6)V cN =S c ·V dc (6) 式中,Vdc表示母线直流电压,单位V;Sa、Sb、Sc分别表示三相开关状态,仅有0和1两个状态,无量纲单位;三相桥式电路每个桥之间存存一个正交向量的相位移,即In the formula, V dc represents the DC voltage of the bus, and the unit is V; S a , S b , and S c represent the three-phase switching states, respectively, with only two states of 0 and 1, which are dimensionless units; There is a phase shift of an orthogonal vector, that is 由此定义输出电压矢量Vs为三相电压的矢量和: The output voltage vector V s is thus defined as the vector sum of the three-phase voltages: 带入(7),然后将输出电压矢量表示为α-β轴上的矩阵形式Vs=[Vα,Vβ]TWill Bringing in (7), the output voltage vector is then represented as a matrix form on the α-β axis V s = [V α , V β ] T : 再经过Park变换,α-β轴上的矢量电压Vs=[Vα,Vβ]T转换为转子坐标系下的定子d-q轴的矢量电压Vdq=[Vd,Vq]T,即:After Park transformation, the vector voltage V s = [V α , V β ] T on the α-β axis is converted into the vector voltage V dq = [V d , V q ] T of the stator dq axis in the rotor coordinate system, that is : 式中θe表示永磁同步电机的转子角位移,单位rad;由以上公式(8)和(9),得到逆变器开关状态信号和定子d-q轴矢量电压之间的关系式:In the formula, θ e represents the rotor angular displacement of the permanent magnet synchronous motor, in rad; from the above formulas (8) and (9), the relationship between the inverter switching state signal and the stator dq axis vector voltage is obtained: 步骤3):下一个时刻的电流值估算过程:Step 3): The current value estimation process at the next moment: 首先,采集到当前电机的a、b、c三相电流值Ia、Ib、Ic,单位A,同样根据clark和park 变换,转换成转子坐标系下定子d-q轴的矢量电流Id,Iq,作为预测控制的初始状态值,即:First, the three-phase current values I a , I b , I c of the current motor a, b and c are collected, and the unit A is also converted into the vector current I d of the stator dq axis in the rotor coordinate system according to the transformation of clark and park , I q , as the initial state value of predictive control, namely: 然后,根据Kirchoff电压定律和电感特性,建立永磁同步电机转子坐标系下的定子d-q轴电流方程,即:Then, according to Kirchoff's voltage law and inductance characteristics, the stator d-q axis current equation in the rotor coordinate system of the permanent magnet synchronous motor is established, namely: 式中,R表示电枢电阻,单位Ω;Ld和Lq分别表示d-q轴电感,单位H;p表示极对数,无量纲;φm表示永磁铁磁通量,单位Wb;In the formula, R represents the armature resistance, in Ω; L d and L q represent the dq-axis inductance, respectively, in H; p represents the number of pole pairs, dimensionless; φ m represents the permanent magnet magnetic flux, in Wb; 然后,将公式(10)带入(12)中,可得到d-q矢量电流的动态方程:Then, taking formula (10) into (12), the dynamic equation of d-q vector current can be obtained: 定义变量x=[Id,Iq]T,d=ωe,u=[Sa,Sb,Sc]T,则公式(13)可转换为Define variables x=[I d , I q ] T , d=ω e , u=[S a , S b , S c ] T , then formula (13) can be converted into 采用梯形积分法离散化动态方程(13),计算公式:The dynamic equation (13) is discretized by the trapezoidal integration method, and the calculation formula is: xtemp=x+Tsf(x,u,d)x temp = x+T s f(x, u, d) xp=x+Ts/2((1+a)f(xtemp,u,d)+(1-a)f(x,u,d))(14)x p =x+T s /2((1+a)f(x temp ,u,d)+(1-a)f(x,u,d))(14) 式中,xp表示估算的下一时刻d-q轴电流值,xtemp表示中间计算量,Ts表示系统采样周期,单位s;a为0-1之间的调节因子,无量纲;In the formula, x p represents the estimated current value of the dq-axis at the next moment, x temp represents the intermediate calculation amount, T s represents the system sampling period, the unit s; a is the adjustment factor between 0-1, dimensionless; 步骤4):最优的开关组合:制定电机转矩预测控制器的目标函数,如下:Step 4): Optimal switch combination: formulate the objective function of the motor torque prediction controller, as follows: 式中Q,M表示加权系数,单位分别为A-2和J-1;min Jk表示当前最优目标函数,单位无量纲;Jt,Jploss分别表示转矩跟踪误差最小和能耗最低两个子目标,单位无量纲;In the formula, Q and M represent the weighting coefficient, and the units are A -2 and J -1 respectively; min J k represents the current optimal objective function, and the unit is dimensionless; J t , J ploss represent the minimum torque tracking error and the minimum energy consumption, respectively Two sub-goals, units are dimensionless; 最小转矩跟踪误差Jt和最低能耗JplossMinimum torque tracking error J t and minimum energy consumption J ploss : ①在Jt中,估算得到单个电机的驱/制动转矩期望值如公式(4),并转化为电机电流的参考值如公式(5),通过控制永磁同步电机的d-q轴的下一时刻预测电流跟踪电流参考值误差最小,实现良好的车辆纵向加速和制动性能;①In J t , the expected value of the driving/braking torque of a single motor is estimated as in formula (4), and converted into the reference value of motor current as in formula (5), by controlling the next step of the dq axis of the permanent magnet synchronous motor Time prediction current tracking current reference value error is the smallest, to achieve good vehicle longitudinal acceleration and braking performance; ②在Jploss中,电机驱动系统能耗包括电机自身的铜损和逆变器开关损耗,其中电机自身铜损和通电电流有关,即:②In J ploss , the energy consumption of the motor drive system includes the copper loss of the motor itself and the switching loss of the inverter, in which the copper loss of the motor itself is related to the energization current, namely: 式中,Em表示Ts时间间隔内铜损能耗能量,单位J;In the formula, E m represents the energy consumption of copper loss in the time interval of T s , the unit is J; 逆变器开关损耗包括三相桥臂上6个IGBT开关的关断损耗和导通损耗,定义下角标i表示a、b、c逆变器三个桥臂,则第i相IGBT在单个Ts时间间隔内的损耗能量EGL,i,单位J,计算如下:The switching loss of the inverter includes the turn-off loss and conduction loss of the 6 IGBT switches on the three-phase bridge arm. The subscript i is defined to represent the three bridge arms of a, b, and c inverters, then the i-th phase IGBT is in a single T. The dissipated energy E GL,i in the s time interval, in J, is calculated as: 式中,Ec,EGon,EGoff分别表示在Ts时间间隔内逆变器单个桥臂上IGBT开关的名义工况下导通、闭合和关断损耗能量,单位J;Inm,Vnm分别表示IGBT开关名义工况下的电流和电压值,单位分别为A和V;Km=(EGon+EGoff)Vdc/InmVnm,无量纲,单位J;ΔSi表示逆变器第i桥臂当前开关的状态改变,如果当前开关状态为Si,上一时刻开关状态为Si0,则ΔSi=Si-Si0In the formula, E c , E Gon , and E Goff respectively represent the conduction, closing and turn-off energy loss under the nominal operating conditions of the IGBT switch on a single bridge arm of the inverter in the T s time interval, in J; I nm , V nm represents the current and voltage values of the IGBT switch under nominal operating conditions, respectively, in units of A and V; K m =(E Gon +E Goff )V dc /I nm V nm , dimensionless, in J; ΔS i represents the inverse The state of the current switch of the i-th bridge arm of the inverter changes, if the current switch state is S i and the switch state at the last moment is S i0 , then ΔS i =S i -S i0 ; 逆变器的三相桥臂总计能量损耗EGL,单位J:The total energy loss E GL of the three-phase bridge arms of the inverter, in J: 式中,开关状态变化矢量In the formula, the switch state change vector ΔS=[ΔSa,ΔSb,ΔSc]T=[Sa-Sa0,Sb-Sb0,Sc-Sc0]T,维度3*1,无量纲;Ip表示abc矢量电流的下一时刻的预测值,单位A,由下式计算得到:ΔS=[ΔS a , ΔS b , ΔS c ] T =[S a -S a0 , S b -S b0 , S c -S c0 ] T , dimension 3*1, dimensionless; I p represents the abc vector current The predicted value at the next moment, in unit A, is calculated by the following formula: 式中,Idp和Iqp可由公式(11)、(13)和(14)计算得到;In the formula, I dp and I qp can be calculated by formulas (11), (13) and (14); ③两步筛选原则:在计算目标函数前筛选掉不符合电机运行条件的候选开关状态,两步筛选原则:③ Two-step screening principle: Before calculating the objective function, the candidate switch states that do not meet the motor operating conditions are screened out. The two-step screening principle is as follows: A、实行最小开关损耗原则,每时域的候选解由8个降低为4个,可将其描述为|ΔSa|+|ΔSb|+|ΔSc|≤1;A. Implement the principle of minimum switching loss, and reduce the number of candidate solutions in each time domain from 8 to 4, which can be described as |ΔS a |+|ΔS b |+|ΔS c |≤1; B、约束为永磁同步电机d-q轴电流限幅约束,将预测值超出边界范围开关状态候选解筛选掉。B. to restrict In order to limit the current limit of the dq-axis of the permanent magnet synchronous motor, the candidate solutions for the switching state of the predicted value beyond the boundary range are filtered out.
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