RU2012121320A - METHOD FOR DETERMINING THE SHORT-TERMINAL LOCATION ON THE ELECTRIC TRANSMISSION AIRLINE BY MEASURING FROM TWO ITS ENDS (OPTIONS) - Google Patents

Abstract

1. A method for determining the location of a short circuit on an overhead power line by measuring from its two ends, having complex resistance to the forward (index 1), reverse (index 2) and zero (index 0) sequences, Z, Z, length L connecting the two power supplies systems in which they measure from two ends of the line ('is one end of the line, ”the second end of the line) the complex phase currents unsynchronized at the corners, and the voltages, fundamental frequency at the time of the short circuit, determine the type of short circuit, determine by any known means the relative value of the distance to the place of short circuit n, determine the values of resistances', Z ', Z' from the first end of the line to the place of damage and resistance ”, Z”, Z ”from the second end of the line to the place of damage, convert phase currents and voltages to symmetrical components of complex currents and voltages of the forward, reverse and zero sequences ,,,, and determine, depending on the type of short circuit, the value of the angle between the zero sequence voltages at the ends of the line according to the expression: for earth faults, and if necessary the accuracy of the distance to the place of damage, for which they change the angles of the voltage and current vectors of the zero sequence at the second end of the line by φ, and determine, depending on the type of short circuit, the distance from the ends of the line to the place of damage by the expressions:;, specify by the expression (1) angle φ, compare the angles with a given accuracy of determining the angles φ, given that the angle tends to zero, and then refine iteratively until the condition is met. 2. The method for determining the location of a short circuit on an overhead line ele

Claims (3)

1. The method of determining the location of a short circuit on an overhead power line by measuring from its two ends, having complex resistance to the forward (index 1), reverse (index 2) and zero (index 0) sequences Z _1L , Z _2L , Z _0L , length L connecting two power systems, in which they measure from two ends of the line ('is one end of the line, ”is the second end of the line) complex phase currents unsynchronized at the corners $$\left(\dot{I}{\text{'}\text{'}}_A,\dot{I}{\text{'}\text{'}}_B,\dot{I}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{I}{"}_A,\dot{I}{"}_B,\dot{I}{"}_C\right)$$

and voltage $$\left(\dot{U}{\text{'}\text{'}}_A,\dot{U}{\text{'}\text{'}}_B,\dot{U}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{U}{"}_A,\dot{U}{"}_B,\dot{U}{"}_C\right)$$

fundamental frequency at the time of short circuit, determine the type of short circuit, determine by any known means the relative value of the distance to the place of short circuit n, determine the values of resistances Z ' _1L , Z' _2L , Z ' _0L from the first end of the line to the point of damage and resistance Z ” _1L , Z ” _2L , Z” _0L from the second end of the line to the fault location, phase currents and voltages are converted into symmetrical components of complex currents and voltages of the forward, reverse and zero sequences $$\left(\dot{I}{\text{'}\text{'}}_{\mathrm{one}},\dot{I}{\text{'}\text{'}}_2,\dot{I}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{I}{"}_{\mathrm{one}},\dot{I}{"}_2,\dot{I}{"}_0\right)$$

, $$\left(\dot{U}{\text{'}\text{'}}_{\mathrm{one}},\dot{U}{\text{'}\text{'}}_2,\dot{U}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{U}{"}_{\mathrm{one}},\dot{U}{"}_2,\dot{U}{"}_0\right)$$

, and determine, depending on the type of short circuit, the angle between the voltages of the zero sequence at the ends of the line by the expression: $${\phi }_0=\arg \left(\frac{\dot{U}{\text{'}\text{'}}_0-\dot{I}{\text{'}\text{'}}_0*Z{\text{'}\text{'}}_{0L}}{U{"}_0-\dot{I}{"}_0*Z{"}_{0L}}\right)\left(\mathrm{one}\right)$$

for earth faults, and if necessary, specify the distance to the place of damage, for which the angles of the voltage and current vectors of the zero sequence are changed at the second end of the line $$\left(\dot{U}{"}_0,\dot{I}{"}_0\right)$$

the value of φ ₀ , and determine depending on the type of short circuit the distance from the ends of the line to the place of damage according to the expressions: $$n{\text{'}\text{'}}_0=\frac{\left(\dot{U}{"}_0-\dot{U}{\text{'}\text{'}}_0\right)+\dot{I}{"}_0*Z_{0L}}{\left(\dot{I}{"}_0+\dot{I}{\text{'}\text{'}}_0\right)*Z_{0L}}$$

; $$n{"}_0=\frac{\left(\dot{U}{\text{'}\text{'}}_0-\dot{U}{"}_0\right)+\dot{I}{\text{'}\text{'}}_0*Z_{0L}}{\left(\dot{I}{"}_0+\dot{I}{\text{'}\text{'}}_0\right)*Z_{0L}}$$

, refine the angle φ ₀ by expression (1), compare the angles with a given accuracy of determining the angles φ, given that the angle tends to zero, and then refine iteratively until the condition $$\left|{\varphi }_j\right|\le \varphi$$

. 2. A method for determining the location of a short circuit on an overhead power line by measuring from its two ends, having complex resistance to the forward (index 1), reverse (index 2) and zero (index 0) sequences Z _1L , Z _2L , Z _0L , length L connecting two power systems, in which they measure from two ends of the line ('is one end of the line, ”is the second end of the line) complex phase currents unsynchronized at the corners $$\left(\dot{I}{\text{'}\text{'}}_A,\dot{I}{\text{'}\text{'}}_B,\dot{I}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{I}{"}_A,\dot{I}{"}_B,\dot{I}{"}_C\right)$$

and voltage $$\left(\dot{U}{\text{'}\text{'}}_A,\dot{U}{\text{'}\text{'}}_B,\dot{U}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{U}{"}_A,\dot{U}{"}_B,\dot{U}{"}_C\right)$$

fundamental frequency at the time of short circuit, determine the type of short circuit, determine by any known means the relative value of the distance to the place of short circuit n, determine the values of resistances Z ' _1L , Z' _2L , Z ' _0L from the first end of the line to the point of damage and resistance Z ” _1L , Z ” _2L , Z” _0L from the second end of the line to the fault location, phase currents and voltages are converted into symmetrical components of complex currents and voltages of the forward, reverse and zero sequences $$\left(\dot{I}{\text{'}\text{'}}_{\mathrm{one}},\dot{I}{\text{'}\text{'}}_2,\dot{I}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{I}{"}_{\mathrm{one}},\dot{I}{"}_2,\dot{I}{"}_0\right)$$

, $$\left(\dot{U}{\text{'}\text{'}}_{\mathrm{one}},\dot{U}{\text{'}\text{'}}_2,\dot{U}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{U}{"}_{\mathrm{one}},\dot{U}{"}_2,\dot{U}{"}_0\right)$$

, and determine, depending on the type of short circuit, the angle between the voltages of the reverse sequence at the ends of the line by the expression: $${\varphi }_2=\arg \left(\frac{\dot{U}{\text{'}\text{'}}_2-\dot{I}{\text{'}\text{'}}_2*Z{\text{'}\text{'}}_{2L}}{U{"}_2-\dot{I}{"}_2*Z{"}_{2L}}\right)\left(2\right)$$

for two-phase circuit and if necessary, specify the distance to the place of damage, for which the angles of the voltage and current vectors of the negative sequence are changed at the second end of the line $$\left(\dot{U}{"}_2\dot{I}{"}_2\right)$$

the value of φ ₂ , and determine, depending on the type of short circuit, the distance from the ends of the line to the place of damage according to the expressions: $$n{\text{'}\text{'}}_2=\frac{\left(\dot{U}{"}_2-\dot{U}{\text{'}\text{'}}_2\right)+\dot{I}{"}_2*Z_{2L}}{\left(\dot{I}{"}_2+\dot{I}{\text{'}\text{'}}_2\right)*Z_{2L}}$$

, $$n{"}_2=\frac{\left(\dot{U}{\text{'}\text{'}}_2-\dot{U}{"}_2\right)+\dot{I}{\text{'}\text{'}}_2*Z_{2L}}{\left(\dot{I}{"}_2+\dot{I}{\text{'}\text{'}}_2\right)*Z_{2L}}$$

, refine the angle φ by expression (2), compare the angles with a given accuracy of determining the angles φ, given that the angle tends to zero, and then refine iteratively until the condition $$\left|{\varphi }_j\right|\le \varphi$$

. 3. A method for determining the location of a short circuit on an overhead power line by measuring from its two ends, having complex resistance to the forward (index 1), reverse (index 2) and zero (index 0) sequences Z _1L , Z _2L , Z _0L , length L connecting two power systems, in which they measure from two ends of the line ('is one end of the line, ”is the second end of the line) complex phase currents unsynchronized at the corners $$\left(\dot{I}{\text{'}\text{'}}_A,\dot{I}{\text{'}\text{'}}_B,\dot{I}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{I}{"}_A,\dot{I}{"}_B,\dot{I}{"}_C\right)$$

and voltage $$\left(\dot{U}{\text{'}\text{'}}_A,\dot{U}{\text{'}\text{'}}_B,\dot{U}{\text{'}\text{'}}_C\right)$$

, $$\left(\dot{U}{"}_A,\dot{U}{"}_B,\dot{U}{"}_C\right)$$

, of the fundamental frequency at the time of the short circuit, determine the type of short circuit, determine by any known means the relative value of the distance to the place of short circuit n, determine the values of the resistances Z ' _1L , Z' _2L , Z ' _0L from the first end of the line to the place of damage and resistance Z ” _1L , Z” _2L , Z ” _0L from the second end of the line to the fault location, phase currents and voltages are converted into symmetrical components of complex currents and voltages of the forward, reverse and zero sequences $$\left(\dot{I}{\text{'}\text{'}}_{\mathrm{one}},\dot{I}{\text{'}\text{'}}_2,\dot{I}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{I}{"}_{\mathrm{one}},\dot{I}{"}_2,\dot{I}{"}_0\right)$$

, $$\left(\dot{U}{\text{'}\text{'}}_{\mathrm{one}},\dot{U}{\text{'}\text{'}}_2,\dot{U}{\text{'}\text{'}}_0\right)$$

, $$\left(\dot{U}{"}_{\mathrm{one}},\dot{U}{"}_2,\dot{U}{"}_0\right)$$

, and determine, depending on the type of short circuit, the angle between the voltages of the direct sequence at the ends of the line by the expression: $${\varphi }_{\mathrm{one}}=\arg \left(\frac{\dot{U}{\text{'}\text{'}}_{\mathrm{one}}-\dot{I}{\text{'}\text{'}}_{\mathrm{one}}*Z{\text{'}\text{'}}_{\mathrm{one}L}}{U{"}_{\mathrm{one}}-\dot{I}{"}_{\mathrm{one}}*Z{"}_{\mathrm{one}L}}\right)\left(3\right)$$

or the value of the angle between the phase voltages at the ends of the line according to the expression: $${\varphi }_F=\arg \left(\frac{\dot{U}{\text{'}\text{'}}_A-\dot{I}{\text{'}\text{'}}_{Ak}*Z{\text{'}\text{'}}_{\mathrm{one}L}}{U{"}_A-\dot{I}{"}_{Ak}*Z{"}_{\mathrm{one}L}}\right)\left(\mathrm{four}\right)$$

for any closures, Where: $$\dot{I}{\text{'}\text{'}}_{Ak}=\dot{I}{\text{'}\text{'}}_A+\dot{k}*3*{\dot{I}}_0^{\text{'}\text{'}}$$

- compensated phase current of the first end, A; $$\dot{I}{"}_{Ak}=\dot{I}{"}_A+\dot{k}*3*{\dot{I}}_0^{"}$$

- compensated phase current of the second end, A; $$\dot{k}=\frac{Z_{0L}-Z_{\mathrm{one}L}}{3*Z_{\mathrm{one}L}}$$

(for a single-circuit line), and if necessary, specify the distance to the place of damage, for which the angles of the voltage and current vectors of the direct sequence are changed at the second end of the line $$\left(\dot{U}{"}_{\mathrm{one,}}\dot{I}{"}_{\mathrm{one}}\right)$$

by the value of φ ₁ , the vectors of the phase voltage and phase compensated current $$\left(\dot{U}{"}_{A,}\dot{I}{"}_{Ak}\right)$$

by the value of φ _F , and determine, depending on the type of short circuit, the distance from the ends of the line to the place of damage according to the expressions: the relative distances from the ends of the line to the place of damage for any short circuits according to the expressions: or For any circuit, $$n{\text{'}\text{'}}_{\mathrm{one}}=\frac{\left(\dot{U}{"}_{\mathrm{one}}-\dot{U}{\text{'}\text{'}}_{\mathrm{one}}\right)+\dot{I}{"}_{\mathrm{one}}*Z_{\mathrm{one}L}}{\left(\dot{I}{"}_{\mathrm{one}}+\dot{I}{\text{'}\text{'}}_{\mathrm{one}}\right)*Z_{\mathrm{one}L}}$$

; $$n{"}_{\mathrm{one}}=\frac{\left(\dot{U}{\text{'}\text{'}}_{\mathrm{one}}-\dot{U}{"}_{\mathrm{one}}\right)+\dot{I}{\text{'}\text{'}}_{\mathrm{one}}*Z_{\mathrm{one}L}}{\left(\dot{I}{"}_{\mathrm{one}}+\dot{I}{\text{'}\text{'}}_{\mathrm{one}}\right)*Z_{\mathrm{one}L}}$$

, or $$n{\text{'}\text{'}}_F=\frac{\left(\dot{U}{"}_A-\dot{U}{\text{'}\text{'}}_A\right)+\dot{I}{"}_{Ak}*Z_{\mathrm{one}L}}{\left(\dot{I}{"}_{Ak}+\dot{I}{\text{'}\text{'}}_{Ak}\right)*Z_{\mathrm{one}L}}$$

, $$n{"}_F=\frac{\left(\dot{U}{\text{'}\text{'}}_A-\dot{U}{"}_A\right)+\dot{I}{\text{'}\text{'}}_{Ak}*Z_{\mathrm{one}L}}{\left(\dot{I}{"}_{Ak}+\dot{I}{\text{'}\text{'}}_{Ak}\right)*Z_{\mathrm{one}L}}$$

for any faults, specify the angle φ ₁ , φ _F by expressions (3, 4), compare the angles with the given accuracy of determining the angles φ, given that the angle tends to zero, and then refine iteratively until the condition $$\left|{\varphi }_j\right|\le \varphi$$

.