CN112578310A - Detection method for single-phase grounding line selection tripping function - Google Patents

Detection method for single-phase grounding line selection tripping function Download PDF

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CN112578310A
CN112578310A CN202011262706.7A CN202011262706A CN112578310A CN 112578310 A CN112578310 A CN 112578310A CN 202011262706 A CN202011262706 A CN 202011262706A CN 112578310 A CN112578310 A CN 112578310A
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voltage
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CN112578310B (en
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熊虎
于树义
李家源
李文佩
朱思瑞
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Hubei Electric Power Co Ltd
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    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/52—Testing for short-circuits, leakage current or ground faults
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/327—Testing of circuit interrupters, switches or circuit-breakers

Abstract

The invention provides a method for detecting a single-phase grounding line selection tripping function, which comprises the following specific steps of: constructing a single-phase earth fault transient model of a two-line system; setting a ground resistance value RkLine capacitance CLReactance L of arc suppression coil0(ii) a Judgment of RkAnd
Figure DDA0002775149500000011
to solve the three-phase voltage U of the line 1A1、UB1、UC1Three-phase voltage U of line 2A2、UB2、UC2(ii) a Three-phase current i of line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2(ii) a The three-phase voltage and the three-phase current of the line 1 and the line 2 are applied to the primary side of a circuit breaker on a primary-secondary fusion complete set column, and if the circuit breaker acts, the line selection work is performedCan be correct; if the breaker does not act, the line selection function is incorrect. The invention truly reproduces the operation parameters of a fault line and a non-fault line and is used for judging the single-phase grounding route selection tripping function adopting a transient zero-sequence power direction method under the grounding mode of an arc-extinguishing coil.

Description

Detection method for single-phase grounding line selection tripping function
Technical Field
The invention relates to the technical field of pole-mounted circuit breaker detection, in particular to a method for detecting a single-phase grounding line selection tripping function.
Background
The primary and secondary fused complete column circuit breaker requires a line selection tripping function (adopting a transient zero sequence power direction method) under an arc suppression coil grounding mode, and can at least adapt to the grounding fault of a 1000 ohm transition resistor. The inductance current of the arc suppression coil compensates the capacitance current of the single-phase grounding, the zero sequence power of the fault line has a power phase inversion process, the direction of the zero sequence power of the non-fault line is opposite from the initial direction of the current flowing from the fault point to the bus, the zero sequence power of the fault line is inverted due to the compensation effect after the arc suppression coil is charged, the direction of the zero sequence power of the non-fault line is the same, the time of the phase inversion process is different due to different grounding resistors, the larger the grounding resistor is, the faster the phase inversion process is, and the higher the requirement on the measurement accuracy of the line selection tripping operation is. Under the grounding mode of the arc suppression coil, the primary and secondary fused complete column circuit breaker generally adopts a transient zero-sequence power direction method to realize the single-phase grounding line selection tripping function. Since each calculation parameter in the control terminal is derived from the measurement of the primary side, in order to integrally detect the single-phase grounding route selection tripping function of the circuit breaker on the primary-secondary fusion set column, the transient voltage and the transient current of the single-phase grounding fault need to be applied to the primary side.
Disclosure of Invention
The invention aims to provide a method for detecting a single-phase grounding route selection tripping function, which truly reproduces the operation parameters of a fault line and a non-fault line and is used for judging the single-phase grounding route selection tripping function adopting a transient zero-sequence power direction method under an arc suppression coil grounding mode.
The technical scheme of the invention is as follows:
a detection method for a single-phase grounding line selection tripping function comprises the following specific steps:
constructing a single-phase earth fault transient model of a two-line system;
setting a ground resistance value RkLine capacitance CLReactance L of arc suppression coil0；
Judgment of RkAnd
Figure BDA0002775149480000021
to solve the three-phase voltage U of the line 1A1、UB1、UC1Three-phase voltage U of line 2A2、UB2、UC2(ii) a Three-phase current i of line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
Applying the three-phase voltage and the three-phase current of the line 1 and the line 2 to the primary side of a circuit breaker on the primary-secondary fusion set column, and if the circuit breaker acts, the line selection function is correct; if the breaker does not act, the line selection function is incorrect.
U in single-phase earth fault transient model of two-line systema1、ub1、uc1ABC equivalent voltage source, u, for line 1a1＝Emsin(wt+α0)，ub1＝Emsin(wt-120°+α0)，uc1＝Emsin(wt+120°+α0) In the formula EmIs the maximum value of the voltage source, w is the angular velocity, t is the time, alpha0Is an initial angle; u. ofa2、ub2、uc2Is the ABC equivalent voltage source of line 2, and ua1＝ua2，ub1＝ub2，uc1＝uc2；u0For zero sequence voltage of the neutral point of the line, u when no single-phase earth fault occurs00; when the A-phase grounding fault occurs on the line 1, zero sequence voltage u is generated0Actual three-phase voltage U on line 1A1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1The actual voltage of line 2 is equal to line 1;
voltage u of arc suppression coil0And current i0Relationship, formula (1)
Figure BDA0002775149480000022
The A phase of the line 1 has single-phase earth fault, and the relation between the voltage and the current is as the formula (2) - (4); the voltage and current relationship of the normal line 2 is as the formula (5) - (7)
Figure BDA0002775149480000023
Figure BDA0002775149480000024
Figure BDA0002775149480000025
Figure BDA0002775149480000026
Figure BDA0002775149480000027
Figure BDA0002775149480000031
According to kirchhoff's current law, the current relationship at neutral point o is as shown in formula (8)
i0+ia1+ib1+ic1+ia2+ib2+ic2＝0 (8)
Due to ua1+ub1+uc1When the value is equal to 0, then
Figure BDA0002775149480000032
And is
Figure BDA0002775149480000033
The arc suppression coil current i can be obtained by the vertical combination (1) -8 with the formulas (9) and (10)0Second order differential equation of, e.g., (11)
Figure BDA0002775149480000034
Solution of the characteristic equation of the quadratic differential equation, as
Figure BDA0002775149480000035
Order to
Figure BDA0002775149480000036
If the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000037
Then
λ1,2＝αλ±iβλ
The solution of the second order differential equation (11) is
Figure BDA0002775149480000038
In the formula (14), the compound represented by the formula (I),
Figure BDA0002775149480000039
Figure BDA00027751494800000310
C1＝-A (17)
Figure BDA0002775149480000041
if the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000042
Then
λ1,2＝αλ
Then, the solution of the quadratic differential equation (11) is
Figure BDA0002775149480000043
In the formula (20)
C3＝-A (21)
C4＝αλA-wB (22)
If the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000044
Then
λ1,2＝αλ±βλ
The solution of the second order differential equation (11) is
Figure BDA0002775149480000045
In the formula (20)
Figure BDA0002775149480000046
Figure BDA0002775149480000047
If it is
Figure BDA0002775149480000048
The zero sequence voltage u can be obtained by substituting the formula (14) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) - (7), and the three-phase current i of the line 1 can be obtaineda1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
If it is
Figure BDA0002775149480000049
The zero sequence voltage u can be obtained by substituting the formula (20) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) -7 to obtain the three-phase current i of the line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
If it is
Figure BDA0002775149480000051
The zero sequence voltage u can be obtained by substituting the formula (24) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) - (7), and the three-phase current i of the line 1 can be obtaineda1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
Compared with the prior art, the invention has the beneficial effects that: the invention constructs a single-phase earth fault transient model of a two-wire system, calculates three-phase current and three-phase voltage applied to the primary side of a breaker on a primary-secondary fusion complete set column, truly reproduces the operation parameters of a fault line and a non-fault line, and is used for judging the single-phase earth line selection tripping function adopting a transient zero-sequence power direction method under an arc suppression coil grounding mode.
Drawings
Fig. 1 is a schematic diagram of a single-phase ground fault transient model of a two-line system of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
When a single-phase earth fault occurs in a line, the system is simplified and can be regarded as a two-line system model with a fault line and a non-fault line connected in parallel, as shown in fig. 1. To further simplify the system, assuming all lines are unloaded, the line-to-ground capacitance is CLArc suppression coil L0The degree of compensation of (a) is 5%. In FIG. 1, ua1、ub1、uc1ABC equivalent voltage source, u, for line 1a1＝Emsin(wt+α0)，ub1＝Emsin(wt-120°+α0)，uc1＝Emsin(wt+120°+α0) In the formula EmIs the maximum value of the voltage source, w is the angular velocity, t is the time, alpha0Is an initial angle; u. ofa2、ub2、uc2Is the ABC equivalent voltage source of line 2, and ua1＝ua2，ub1＝ub2，uc1＝uc2；ia1、ib1、ic1ABC phase current on line 1; suppose that a ground fault occurs at point k of phase A, RkIs a ground resistor. i.e. ia2、ib2、ic2ABC phase current on line 2.
u0For zero sequence voltage of the neutral point of the line, u when no single-phase earth fault occurs00. When the A-phase grounding fault occurs on the line 1, zero sequence voltage u is generated0Actual three-phase voltage U on line 1A1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1Line 2 is actually at the same voltage as line 1.
Voltage u of arc suppression coil0And current i0Relationship, formula (1)
Figure BDA0002775149480000061
The A phase of the line 1 has single-phase earth fault, and the relation between the voltage and the current is as the formula (2) - (4); the voltage and current relationship of the normal line 2 is as the formula (5) - (7)
Figure BDA0002775149480000062
Figure BDA0002775149480000063
Figure BDA0002775149480000064
Figure BDA0002775149480000065
Figure BDA0002775149480000066
Figure BDA0002775149480000067
According to kirchhoff's current law, the current relationship at neutral point o is as shown in formula (8)
i0+ia1+ib1+ic1+ia2+ib2+ic2＝0 (8)
Due to ua1+ub1+uc1When the value is equal to 0, then
Figure BDA0002775149480000068
And is
Figure BDA0002775149480000069
The arc suppression coil current i can be obtained by the vertical combination (1) -8 with the formulas (9) and (10)0Second order differential equation of, e.g., (11)
Figure BDA00027751494800000610
Solution of the characteristic equation of the quadratic differential equation, as
Figure BDA00027751494800000611
Order to
Figure BDA0002775149480000071
(1) If the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000072
Then
λ1,2＝αλ±iβλ
The solution of the second order differential equation (11) is
Figure BDA0002775149480000073
In the formula (14), the compound represented by the formula (I),
Figure BDA0002775149480000074
Figure BDA0002775149480000075
C1＝-A (17)
Figure BDA0002775149480000076
(2) if the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000077
Then
λ1,2＝αλ
Then, the solution of the quadratic differential equation (11) is
Figure BDA0002775149480000078
In the formula (20)
C3＝-A (21)
C4＝αλA-wB (22)
(3) If the ground resistance RkSatisfy the requirement of
Figure BDA0002775149480000079
Then
λ1,2＝αλ±βλ
The solution of the second order differential equation (11) is
Figure BDA0002775149480000081
In the formula (20)
Figure BDA0002775149480000082
Figure BDA0002775149480000083
Detection method flow
Setting a ground resistance value RkLine capacitance CLReactance L of arc suppression coil0。
Judgment of RkAnd
Figure BDA0002775149480000084
to solve the line1 three-phase voltage UA1、UB1、UC1Three-phase voltage U of line 2A2、UB2、UC2(ii) a Three-phase current i of line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
(1) If it is
Figure BDA0002775149480000085
The zero sequence voltage u can be obtained by substituting the formula (14) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2. The obtained formula (1) is substituted into the formula (2) -7 to obtain the three-phase current i of the circuit 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
(2) If it is
Figure BDA0002775149480000086
The zero sequence voltage u can be obtained by substituting the formula (20) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2. The obtained formula (1) is substituted into the formula (2) -7, and the three-phase current i of the circuit 1 can be obtaineda1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
(3) If it is
Figure BDA0002775149480000087
The zero sequence voltage u can be obtained by substituting the formula (24) into the formula (1)0And then obtainLine three-phase voltages, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2. The obtained formula (1) is substituted into the formula (2) -7 to obtain the three-phase current i of the circuit 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
Applying the three-phase voltage and the three-phase current of the line 1 and the line 2 to the primary side of a circuit breaker on the primary-secondary fusion set column, and if the circuit breaker acts, the line selection function is correct; if the breaker does not act, the line selection function is incorrect.
The invention constructs a single-phase earth fault transient model of a two-wire system, calculates three-phase current and three-phase voltage applied to the primary side of a breaker on a primary-secondary fusion complete set column, truly reproduces the operation parameters of a fault line and a non-fault line, and is used for judging the single-phase earth line selection tripping function adopting a transient zero-sequence power direction method under an arc suppression coil grounding mode.
Furthermore, it should be understood that although the present description refers to embodiments, not every embodiment may contain only a single embodiment, and such description is for clarity only, and those skilled in the art should integrate the description, and the embodiments may be combined as appropriate to form other embodiments understood by those skilled in the art.

Claims (3)

1. A detection method for a single-phase grounding line selection tripping function is characterized by comprising the following specific steps:
constructing a single-phase earth fault transient model of a two-line system;
setting a ground resistance value RkLine capacitance CLReactance L of arc suppression coil0；
Judgment of RkAnd
Figure FDA0002775149470000011
to solve the three-phase voltage U of the line 1A1、UB1、UC1Three-phase voltage U of line 2A2、UB2、UC2(ii) a Three-phase current i of line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
Applying the three-phase voltage and the three-phase current of the line 1 and the line 2 to the primary side of a circuit breaker on the primary-secondary fusion set column, and if the circuit breaker acts, the line selection function is correct; if the breaker does not act, the line selection function is incorrect.
2. The method of claim 1, wherein u is a transient model of a single-phase ground fault in the two-line systema1、ub1、uc1ABC equivalent voltage source, u, for line 1a1＝Emsin(wt+α0)，ub1＝Emsin(wt-120°+α0)，uc1＝Emsin(wt+120°+α0) In the formula EmIs the maximum value of the voltage source, w is the angular velocity, t is the time, alpha0Is an initial angle; u. ofa2、ub2、uc2Is the ABC equivalent voltage source of line 2, and ua1＝ua2，ub1＝ub2，uc1＝uc2；u0For zero sequence voltage of the neutral point of the line, u when no single-phase earth fault occurs00; when the A-phase grounding fault occurs on the line 1, zero sequence voltage u is generated0Actual three-phase voltage U on line 1A1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1The actual voltage of line 2 is equal to line 1;
voltage u of arc suppression coil0And current i0Relationship, formula (1)
Figure FDA0002775149470000012
The A phase of the line 1 has single-phase earth fault, and the relation between the voltage and the current is as the formula (2) - (4); the voltage and current relationship of the normal line 2 is as the formula (5) - (7)
Figure FDA0002775149470000013
Figure FDA0002775149470000021
Figure FDA0002775149470000022
Figure FDA0002775149470000023
Figure FDA0002775149470000024
Figure FDA0002775149470000025
According to kirchhoff's current law, the current relationship at neutral point o is as shown in formula (8)
i0+ia1+ib1+ic1+ia2+ib2+ic2＝0 (8)
Due to ua1+ub1+uc1When the value is equal to 0, then
Figure FDA0002775149470000026
And is
Figure FDA0002775149470000027
The arc suppression coil current i can be obtained by the vertical combination (1) -8 with the formulas (9) and (10)0Second order differential equation of, e.g., (11)
Figure FDA0002775149470000028
Solution of the characteristic equation of the quadratic differential equation, as
Figure FDA0002775149470000029
Order to
Figure FDA00027751494700000210
If the ground resistance RkSatisfy the requirement of
Figure FDA00027751494700000211
Then
λ1,2＝αλ±iβλ
The solution of the second order differential equation (11) is
Figure FDA0002775149470000031
In the formula (14), the compound represented by the formula (I),
Figure FDA0002775149470000032
Figure FDA0002775149470000033
C1＝-A (17)
Figure FDA0002775149470000034
if the ground resistance RkSatisfy the requirement of
Figure FDA0002775149470000035
Then
λ1,2＝αλ
Then, the solution of the quadratic differential equation (11) is
Figure FDA0002775149470000036
In the formula (20)
C3＝-A (21)
C4＝αλA-wB (22)
If the ground resistance RkSatisfy the requirement of
Figure FDA0002775149470000037
Then
λ1,2＝αλ±βλ
The solution of the second order differential equation (11) is
Figure FDA0002775149470000038
In the formula (20)
Figure FDA0002775149470000039
Figure FDA00027751494700000310
3. The method as claimed in claim 2, wherein the step of detecting the trip function of the single-phase ground line selection is performed if the fault is detected
Figure FDA0002775149470000041
The zero sequence voltage u can be obtained by substituting the formula (14) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) - (7), and the three-phase current i of the line 1 can be obtaineda1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
If it is
Figure FDA0002775149470000042
The zero sequence voltage u can be obtained by substituting the formula (20) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) -7 to obtain the three-phase current i of the line 1a1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2；
If it is
Figure FDA0002775149470000043
The zero sequence voltage u can be obtained by substituting the formula (24) into the formula (1)0To obtain the three-phase voltage of the line, i.e. UA1＝u0+ua1，UB1＝u0+ub1，UC1＝u0+uc1；UA2＝u0+ua2，UB2＝u0+ub2，UC1＝u0+uc2The obtained formula (1) is substituted into the formula (2) - (7), and the three-phase current i of the line 1 can be obtaineda1、ib1、ic1Three-phase current i of line 2a2、ib2、ic2。
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