METHOD AND APPARATUS FOR IDENTIFYING OPEN PHASE OF CIRCUIT BREAKER ON BASIS OF VOLTAGE

20180149699 ยท 2018-05-31

Assignee

Inventors

Cpc classification

International classification

Abstract

A method and apparatus for identifying an open phase of a circuit breaker on the basis of voltage. The method comprises: a protection apparatus measures three-phase voltages at two sides of a circuit breaker; respectively calculates a vector difference and an effective value of the voltages at two sides of the circuit breaker; when the phase voltages at two sides are both greater than 80% to 90% of a rated voltage, and the voltage vector difference at two sides of the one-phase or two-phase circuit breaker is greater than a set voltage, it is determined that the circuit breaker has an open phase; and actuates an alarming or tripping operation after a short time delay t.

Claims

1. A method for identifying an open phase of a circuit breaker on the basis of voltage, comprising: a protection apparatus measures three-phase voltages at two sides of the circuit breaker; respectively calculates the vector difference and the effective value of the fundamental waves of voltages at two sides of the circuit breaker; when the phase voltages at two sides are both greater than the set threshold value, and the voltage vector difference at two sides of a certain one-phase or two-phase circuit breaker is greater than the set voltage, it is determined that the circuit breaker has an open phase; and actuates an alarming or tripping operation after a short time delay t.

2. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein the set threshold value is 80% to 90% of the rated voltage.

3. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein the values of three-phase voltages at two sides are taken from the three-phase voltage mutual inductors at two sides of the circuit breaker.

4. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein if any one of criteria in the following Formula 1 to Formula 3 is satisfied, an open phase can be identified, and the protection apparatus actuates an alarming or tripping operation after a short time delay t; criterion for an open phase in Phase A of the circuit breaker: { min ( U a . AM , U A . AM ) > .Math. .Math. % .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . A .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 1 ] criterion for an open phase in Phase B of the circuit breaker: { min ( U b . AM , U B . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . B .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 2 ] criterion for an open phase in Phase C of the circuit breaker: { min ( U c . AM , U C . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . C .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 3 ] wherein, U.sub.a.AM and U.sub.A.AM are the voltage amplitudes in Phase A at M side and N side, respectively, U.sub.b.AM and U.sub.A.AM are the voltage amplitudes in Phase B at M side and N side, respectively, U.sub.c.AM and U.sub.C.AM are the voltage amplitudes in Phase C at M side and N side, respectively, |U.sub.A| is the amplitude of voltage vector difference in Phase A at two sides, |U.sub.B| is the amplitude of voltage vector difference in Phase B at two sides, |U.sub.C| is the amplitude of voltage vector difference in Phase c at two sides, U.sub.N is the rated phase voltage, U.sub.set is the set value of voltage difference at two sides, is the scale factor, and min represents taking the minimum value of the two values.

5. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein the fundamental wave amplitudes of the three-phase voltages at two sides are all calculated using the full cycle Fourier algorithm, the computation formulas for the fundamental wave amplitudes of the TV phase voltages at two sides are as follows: { U . Re = 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. cos ( 2 .Math. .Math. .Math. k N ) U . Im = - 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. sin ( 2 .Math. .Math. .Math. k N ) U . AM = U . Re 2 + U . Im 2 .Math. .Math. = a , b , c ; [ Formula .Math. .Math. 4 ] wherein, k is the serial number of sampling, N is the times of sampling of the protection apparatus in each power frequency cycle, is the phase of the three-phase voltages, U.sub..Re and U.sub..lm are the real part and the imaginary part of the fundamental wave of phase voltage, respectively, and U.sub..Am is the fundamental wave amplitude of phase voltage.

6. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein two compensation coefficients are introduced for compensating the transmission error of the voltage mutual inductors at two sides of the circuit breaker, vector difference of voltages at two sides of the circuit breaker:
{dot over (U)}.sub.={dot over (U)}.sub.M(k.sub.1+jk.sub.2).Math.{dot over (U)}.sub.N,=a,b,c[Formula 5]; wherein, {dot over (U)}.sub.M and {dot over (U)}.sub.N are the phase voltage vectors at M and N sides, {dot over (U)}.sub.100 M=U.sub.M.RejU.sub.M.lm, {dot over (U)}.sub.N=U.sub.N.RejU.sub.N.Im, k.sub.1 and k.sub.2 are the compensating coefficients used for compensating the transmission error of the voltage mutual inductors at two sides, so that the voltage vector difference of the voltage mutual inductors at two sides of the port is 0 in case of normal operation, U.sub.N.Re and U.sub.M.lm are the real part and the imaginary part of the fundamental wave of phase voltage at M side, and U.sub.N.Re and U.sub.M.lm are the real part and the imaginary part of the fundamental wave of phase voltage at N side; the full cycle Fourier algorithm of cosine models is employed, and the adjustment coefficient is calculated on the basis of the voltage waveform under normal conditions on condition that the phasor difference of two sides is 0: { U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re - k .Math. .Math. 2 .Math. U .Math. .Math. N . Im = 0 U .Math. .Math. M . Im + k .Math. .Math. 2 .Math. U .Math. .Math. N . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Im = 0 ; [ Formula .Math. .Math. 6 ] k .Math. .Math. 1 = U .Math. .Math. M . Re .Math. U .Math. .Math. N . Re + U .Math. .Math. M . Im .Math. U .Math. .Math. N . Im U .Math. .Math. N . Re 2 + U .Math. .Math. N . Im 2 ; [ Formula .Math. .Math. 7 ] k .Math. .Math. 2 = U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re U .Math. .Math. N . Im ; [ Formula .Math. .Math. 8 ] when the circuit breaker has an open phase, the voltage difference of the voltage mutual inductors at two sides of the port of the fault phase will be greater than the set threshold value, and the above features form the criteria for open phase of the switch.

7. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 4, wherein the set value of vector difference U.sub.set is valued within the range of 0.1 to 10.0V.

8. The method for identifying an open phase of a circuit breaker on the basis of voltage according to claim 1, wherein the protection apparatus actuates an alarming or tripping operation after a short time delay t, and the set value of time delay is valued within the range of 0.1 to 10 s.

9. An open-phase protection apparatus for circuit breaker on the basis of voltage, comprising a sampling module, a Fourier calculation module, a compensating module and an identifying and actuating module, wherein: the sampling module is used for the open-phase protection apparatus to sample the voltages at two sides of the circuit breaker; the Fourier calculation module is used for calculating the real part and the imaginary part of the fundamental wave vectors of the phase voltages at two sides and the fundamental wave amplitudes according to the results of the sampling module; the compensating module is used for compensating the transmission error of the voltage mutual inductors at two sides according to the results of the Fourier calculation module, so that the voltage vector difference of the voltage mutual inductors at two sides of the port is 0 in case of normal operation; the identifying and actuating module is used for identifying when the vector difference of voltages at two sides of the circuit breaker exceeds the upper limit of the preset range according to the results of the calculation module and the compensating module, and giving an alarming signal or tripping signal and outputting the contact state of tripping relay after a time delay.

10. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 9, wherein the values of three-phase voltages at two sides are taken from the three-phase voltage mutual inductors at two sides of the circuit breaker.

11. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 9, wherein: if any one of criteria in the following Formula 1 to Formula 3 is satisfied, an open phase can be identified, and the protection apparatus actuates an alarming or tripping operation after a short time delay t; criterion for an open phase in Phase A of the circuit breaker: { min ( U a . AM , U A . AM ) > .Math. .Math. % .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . A .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 1 ] criterion for an open phase in Phase B of the circuit breaker: { min ( U b . AM , U B . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . B .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 2 ] criterion for an open phase in Phase C of the circuit breaker: { min ( U c . AM , U C . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . C .Math. .Math. .Math. U set ; [ Formula .Math. .Math. 3 ] wherein, U.sub.a.AM and U.sub.A.AM are the voltage amplitudes in Phase A at M side and N side, respectively, U.sub.b.AM and U.sub.B.AM are the voltage amplitudes in Phase B at M side and N side, respectively, U.sub.C.AM and U.sub.C.AM are the voltage amplitudes in Phase C at M side and N side, respectively, |{dot over (U)}.sub.A| is the amplitude of voltage vector difference in Phase A at two sides, |{dot over (U)}.sub.B| is the amplitude of voltage vector difference in Phase B at two sides, |{dot over (U)}.sub.C| is the amplitude of voltage vector difference in Phase C at two sides, U.sub.N is the rated phase voltage, U.sub.set is the set value of voltage difference at two sides, is the scale factor, and min represents taking the minimum value of the two values.

12. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 9, wherein: the fundamental wave amplitudes of the three-phase voltages at two sides are all calculated using the full cycle Fourier algorithm, the computation formulas for the fundamental wave amplitudes of the TV phase voltages at two sides are as follows: { U . Re = 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. cos ( 2 .Math. .Math. .Math. k N ) U . Im = - 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. sin ( 2 .Math. .Math. .Math. k N ) U . AM = U . Re 2 + U . Im 2 .Math. .Math. = a , b , c ; [ Formula .Math. .Math. 4 ] wherein, k is the serial number of sampling, N is the times of sampling of the protection apparatus in each power frequency cycle, is the phase of the three-phase voltages, U.sub..Re and U.sub..Im are the real part and the imaginary part of the fundamental wave of phase voltage, respectively, and U.sub..AM is the fundamental wave amplitude of phase voltage.

13. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 9, wherein: two compensation coefficients are introduced for compensating the transmission error of the voltage mutual inductors at two sides of the circuit breaker, vector difference of voltages at two sides of the circuit breaker:
{dot over (U)}.sub.={dot over (U)}.sub.M(k.sub.1+jk.sub.2).Math.{dot over (U)}.sub.N,=a,b,c[Formula 5]; wherein, {dot over (U)}.sub.M and {dot over (U)}.sub.N are the phase voltage vectors at M and N sides, {dot over (U)}.sub.M=U.sub.M.RejU.sub.M.lm, {dot over (U)}.sub.N=U.sub.N.rejU.sub.N.lm, k.sub.1 and k.sub.2 are the compensating coefficients used for compensating the transmission error of the voltage mutual inductors at two sides, so that the voltage vector difference of the voltage mutual inductors at two sides of the port is 0 in case of normal operation, U.sub.N.Re and U.sub.M.Im are the real part and the imaginary part of the fundamental wave of phase voltage at M side, and U.sub.N.Re and U.sub.N.Im are the real part and the imaginary part of the fundamental wave of phase voltage at N side; the full cycle Fourier algorithm of cosine models is employed, and the adjustment coefficient is calculated on the basis of the voltage waveform under normal conditions on condition that the phasor difference of two sides is 0: { U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re - k .Math. .Math. 2 .Math. U .Math. .Math. N . Im = 0 U .Math. .Math. M . Im + k .Math. .Math. 2 .Math. U .Math. .Math. N . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Im = 0 ; [ Formula .Math. .Math. 6 ] k .Math. .Math. 1 = U .Math. .Math. M . Re .Math. U .Math. .Math. N . Re + U .Math. .Math. M . Im .Math. U .Math. .Math. N . Im U .Math. .Math. N . Re 2 + U .Math. .Math. N . Im 2 ; [ Formula .Math. .Math. 7 ] k .Math. .Math. 2 = U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re U .Math. .Math. N . Im ; [ Formula .Math. .Math. 8 ] when the circuit breaker has an open phase, the voltage difference of the voltage mutual inductors at two sides of the port of the fault phase will be greater than the set threshold value, and the above features form the criteria for open phase of the switch.

14. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 11, wherein the set value of vector difference U.sub.set can be valued within the range of 0.1 to 10.0V.

15. The open-phase protection apparatus for circuit breaker on the basis of voltage according to claim 9, wherein: the protection apparatus actuates an alarming or tripping operation after a short time delay t, and the set value of time delay is valued within the range of 0.1 to 10 s.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

[0027] FIG. 1 shows the diagram of measuring the three-phase voltages at two sides of the port when the circuit breaker has an open phase according to the invention, in which, G is a generator, T is a transformer connected to the generator, L is the line, B is a three-phase circuit breaker, m and n are the ports of the circuit breaker, TV.sub.M is the voltage mutual inductor at M side of the circuit breaker, TV.sub.N is the voltage mutual inductor at N side of the circuit breaker, U.sub.a, U.sub.b and U.sub.c are the three-phase voltages at M side, and U.sub.A, U.sub.B and U.sub.C are the three-phase voltages at N side.

[0028] FIG. 2 is the structural diagram of the apparatus provided by the invention.

DETAILED DESCRIPTION OF THE INVENTION

[0029] The technical solution of the invention will be described below in details in conjunction with the drawings.

[0030] In FIG. 1, three-phase voltages at two sides are measured at the TVs at two sides of the port of the circuit breaker, and the fundamental wave amplitudes of voltages at two sides are calculated using the full cycle Fourier algorithm.

[0031] The computation formulas for the fundamental wave amplitudes of the TV phase voltages at two sides are as follows:

[00006] { U . Re = 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. cos ( 2 .Math. .Math. .Math. k N ) U . Im = - 2 N .Math. .Math. k = 0 N - 1 .Math. u ( k ) .Math. sin ( 2 .Math. .Math. .Math. k N ) .Math. = a , b , c U . AM = U . Re 2 + U . Im 2 [ Formula .Math. .Math. 1 ]

[0032] Wherein, N is the times of sampling of the protection apparatus in each power frequency cycle, U.sub..Re and U.sub..Im are the real part and the imaginary part of the fundamental wave of phase voltage, respectively, and U.sub..AM is the fundamental wave amplitude of phase voltage.

[0033] Vector difference of voltages at two sides of the port of the switch:


{dot over (U)}.sub.={dot over (U)}.sub.M*k.sub.1+jk.sub.2).Math.{dot over (U)}.sub.N,=a,b,c[Formula 2]

[0034] Wherein, {dot over (U)}.sub.M and {dot over (U)}.sub.N are the phase voltage vectors at M and N sides, {dot over (U)}.sub.100 M=U.sub.M.RejU.sub.M.lm, {dot over (U)}.sub.N=U.sub.N.RejU.sub.N.Im, k.sub.1 and k.sub.2 are the compensating coefficients used for compensating the transmission error between TVs at two sides, so that the voltage vector difference of TVs at two sides of the port is 0 in case of normal operation.

[0035] The full cycle Fourier algorithm of cosine models is employed, and the adjustment coefficient is calculated on the basis of the voltage waveform under normal conditions on condition that the phasor difference of two sides is 0:

[00007] { U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re - k .Math. .Math. 2 .Math. U .Math. .Math. N . Im = 0 U .Math. .Math. M . Im + k .Math. .Math. 2 .Math. U .Math. .Math. N . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Im = 0 [ Formula .Math. .Math. 3 ] k .Math. .Math. 1 = U .Math. .Math. M . Re .Math. U .Math. .Math. N . Re + U .Math. .Math. M . Im .Math. U .Math. .Math. N . Im U .Math. .Math. N . Re 2 + U .Math. .Math. N . Im 2 [ Formula .Math. .Math. 4 ] k .Math. .Math. 2 = U .Math. .Math. M . Re - k .Math. .Math. 1 .Math. U .Math. .Math. N . Re U .Math. .Math. N . Im [ Formula .Math. .Math. 5 ]

[0036] When the circuit breaker has an open phase, the voltage difference of TVs at two sides of the port of the fault phase will have a certain value, and the above features form the criteria for open phase of the switch.

[0037] Criterion for an open phase in Phase A of the circuit breaker:

[00008] { min ( U a . AM , U A . AM ) > .Math. .Math. % .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . A .Math. .Math. .Math. U set [ Formula .Math. .Math. 6 ]

[0038] Wherein, U.sub..AM and U.sub.A.AM are the voltage amplitudes in Phase A at M side and N side, respectively, U.sub.N is the rated phase voltage, |{dot over (U)}.sub.A| is the amplitude of voltage vector difference in Phase A at two sides, U.sub.set is the set value of voltage difference, generally ranging between 0.1 to 10V, is generally valued as 80 to 90, and min represents taking the minimum value of the two values.

[0039] Criterion for an open phase in Phase B of the circuit breaker:

[00009] { min ( U b . AM , U B . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . B .Math. .Math. .Math. U set [ Formula .Math. .Math. 7 ]

[0040] Criterion for an open phase in Phase C of the circuit breaker:

[00010] { min ( U c . AM , U C . AM ) > .Math. .Math. U .Math. .Math. N .Math. .Math. .Math. U . C .Math. .Math. .Math. U set [ Formula .Math. .Math. 8 ]

[0041] If any one condition of Formula 6 to Formula 8 is satisfied, the protection apparatus actuates an alarming or tripping operation after a short time delay t, and the set value of time delay is generally valued within the range of 0.1 to 10 s.

[0042] In addition, the invention also provides an open-phase protection apparatus for circuit breaker on the basis of voltage, as shown in FIG. 2, comprising a sampling module, a Fourier calculation module, a compensating module and an identifying and actuating module, wherein:

[0043] the sampling module is used for the open-phase protection apparatus to sample the voltages at two sides of the circuit breaker;

[0044] the Fourier calculation module is used for calculating the real part and the imaginary part of the fundamental wave vectors of the phase voltages at two sides and the fundamental wave amplitudes according to the results of the sampling module;

[0045] the compensating module is used for compensating the transmission error between TVs at two sides according to the results of the Fourier calculation module, so that the voltage vector difference of TVs at two sides of the port is 0 in case of normal operation;

[0046] the identifying and actuating module is used for identifying when the vector difference of voltages at two sides of the circuit breaker exceeds the upper limit of the preset range according to the results of the calculation module and the compensating module, and giving an alarming signal or tripping signal and outputting the contact state of tripping relay after a time delay.

[0047] The above embodiments are intended to explain the technical concept of the invention only, and by no means limit the scope of the invention, and any modification on the basis of the technical solution in accordance with the invention are all within the scope of the invention.