Summary of the invention
The object of the invention is to propose a kind of definite single-phase short circuit and cause the method in commutation failure region, the method definition is clear, computational methods are simple, explicit physical meaning, can determine easily and fast the single-phase earthing fault region that may cause many times direct current commutation failures, for the impact of research AC system single-phase earthing fault on direct current system and the arrangement of power system operating mode provide reference.
Technical scheme of the present invention is:
The present invention determines that single-phase short circuit causes the method in commutation failure region, comprises the following steps:
1) taking alternating current-direct current electrical network as research object, determine DC inversion station to be studied and the transformer station that may cause direct current commutation failure because of fault in ac transmission system, wherein, there is M place in transformer station to be studied, and there is N place at DC inversion station;
2) calculate the positive and negative zero sequence impedance matrix of alternating current-direct current electrical network to be studied, comprise positive sequence impedance matrix Z
1, negative sequence impedance matrix Z
2with zero sequence impedance matrix Z
0;
3) according to positive and negative zero sequence impedance matrix, calculate i transformer station to be studied positive and negative zero sequence self-impedance and Z
ii, i=1,2 ... M;
4) according to positive and negative zero sequence impedance matrix, calculate positive and negative zero sequence mutual impedance between j Inverter Station and i transformer station and Z
ij, j=1,2 ... N;
5) calculate positive and negative zero sequence mutual impedance and with positive and negative zero sequence self-impedance and ratio k
ij, according to ratio k
ijsize, judge that i transformer station single-phase earthing fault possibility occurs and cause j Inverter Station generation commutation failure;
6) repeating step 4), step 5), until j=N, record i place of transformer station and single-phase short circuit occurs may cause that the Inverter Station number of commutation failure is L
i;
7) repeating step 3), step 4), step 5), step 6), until i=M obtains causing K to go back to the single-phase earthing fault region of direct current commutation failure, K=0,1,2 ... M.
Described step 3) in,
Z
ii=Z
ii-1+Z
ii-2+Z
ii-0 (1)
In formula: Z
ii-1for the positive sequence self-impedance at i place of transformer station, Z
ii-2for the negative phase-sequence self-impedance at i place of transformer station, Z
ii-0for the zero sequence self-impedance at i place of transformer station, Z
iifor the positive and negative zero sequence self-impedance at i place of transformer station and,
Described step 4) in,
Z
ij=Z
ij-1+Z
ij-2+Z
ij-0 (2)
In formula: Z
ij-1for the positive sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ij-2for the negative phase-sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ij-0for the zero sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ijpositive and negative zero sequence mutual impedance between the i of transformer station and Inverter Station j and.
Described step 5) in,
If k
ij> 0.1, thinks that i place of transformer station single-phase short circuit occurs and may cause that commutation failure occurs Inverter Station j.
The present invention is a kind of method of determining the commutation failure region that single-phase short circuit causes based on positive and negative zero sequence impedance matrix.By the positive and negative zero sequence mutual impedance between positive and negative zero sequence self-impedance and transformer station and each Inverter Station of transformer station to be studied in calculating electric power system, calculate positive and negative zero sequence mutual impedance and with positive and negative zero sequence self-impedance and ratio, there is single-phase short circuit possibility according to this transformer station of the ratio in judgement of trying to achieve and cause that commutation failure occurs at DC inversion station; By the scanning of the transformer station to required study and all Inverter Station, can determine easily and fast the single-phase earthing fault region that may cause many times direct current commutation failures, for the impact of research AC system single-phase earthing fault on direct current system and the arrangement of power system operating mode provide reference.What the present invention proposed determines the method in the commutation failure region that single-phase short circuit causes based on positive and negative zero sequence impedance matrix, and it is clear to define, and computational methods are simple, explicit physical meaning.
Specific embodiment
The present invention determines that single-phase short circuit causes the method in commutation failure region, comprises the following steps:
1) taking alternating current-direct current electrical network as research object, determine DC inversion station to be studied and the transformer station that may cause direct current commutation failure because of fault in ac transmission system, wherein, there is M place in transformer station to be studied, and there is N place at DC inversion station;
2) calculate the positive and negative zero sequence impedance matrix of alternating current-direct current electrical network to be studied, comprise positive sequence impedance matrix Z
1, negative sequence impedance matrix Z
2with zero sequence impedance matrix Z
0;
3) according to positive and negative zero sequence impedance matrix, calculate i transformer station to be studied positive and negative zero sequence self-impedance and Z
ii, i=1,2 ... M;
4) according to positive and negative zero sequence impedance matrix, calculate positive and negative zero sequence mutual impedance between j Inverter Station and i transformer station and Z
ij, j=1,2 ... N;
5) calculate positive and negative zero sequence mutual impedance and with positive and negative zero sequence self-impedance and ratio k
ij, according to ratio k
ijsize, judge that i transformer station single-phase earthing fault possibility occurs and cause j Inverter Station generation commutation failure;
6) repeating step 4), step 5), until j=N, record i place of transformer station and single-phase short circuit occurs may cause that the Inverter Station number of commutation failure is L
i;
7) repeating step 3), step 4), step 5), step 6), until i=M obtains causing K to go back to the single-phase earthing fault region of direct current commutation failure, K=0,1,2 ... M.
Described step 3) in,
Z
ii=Z
ii-1+Z
ii-2+Z
ii-0 (1)
In formula: Z
ii-1for the positive sequence self-impedance at i place of transformer station, Z
ii-2for the negative phase-sequence self-impedance at i place of transformer station, Z
ii-0for the zero sequence self-impedance at i place of transformer station, Z
iifor the positive and negative zero sequence self-impedance at i place of transformer station and,
Described step 4) in,
Z
ij=Z
ij-1+Z
ij-2+Z
ij-0 (2)
In formula: Z
ij-1for the positive sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ij-2for the negative phase-sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ij-0for the zero sequence mutual impedance between the i of transformer station and Inverter Station j, Z
ijpositive and negative zero sequence mutual impedance between the i of transformer station and Inverter Station j and.
Described step 5) in,
If k
ij> 0.1, thinks that i place of transformer station single-phase short circuit occurs and may cause that commutation failure occurs Inverter Station j.
In the time of the unbalanced faults such as electric power networks generation single-phase short circuit, obtain the value of each transportation load in system, need to consider negative phase-sequence and zero-sequence network.The network equation of positive negative zero three orders of electric power networks is:
In formula: U
1, U
2, U
0be respectively positive sequence voltage vector, negative sequence voltage vector, the residual voltage vector of network, I
1, I
2, I
0be respectively forward-order current vector, negative-sequence current vector, the zero-sequence current vector of network, Z
1, Z
2, Z
0be respectively positive sequence impedance matrix, negative sequence impedance matrix, the zero sequence impedance matrix of network.
Describe as an example of website i place generation A phase single-phase short circuit example.
When normal operation (not breaking down), system three-phase symmetrical, the Injection Current vector of negative phase-sequence and zero-sequence network is 0, and the expression formula of the each node A of network phase voltage is suc as formula (5):
U
A=U
1+U
2+U
0=Z
1I
1+Z
2I
2+Z
0I
0=Z
1I
1 (5)
In formula: U
afor network A phase voltage vector.
If there is single-phase short circuit at website i place, be equivalent to increase at website i place the positive and negative zero sequence Injection Current of short circuit current size, and the Injection Current of positive negative zero three orders equates, the Injection Current of all the other websites is constant, network impedance matrix is constant, according to the linear relationship between node voltage and Injection Current, the variable quantity of the each node A of network phase voltage is:
ΔU
A=ΔU
1+ΔU
2+ΔU
0=Z
1ΔI
1+Z
2ΔI
2+Z
0ΔI
0=(Z
1+Z
2+Z
0)ΔI
1
(6)ΔI
1=[0,0,0…,ΔI
1i,…0,0]
T (7)
In formula: Δ U
afor the variable quantity of the each node A of network phase voltage, Δ U
1, Δ U
2, Δ U
0be respectively positive sequence voltage variable quantity, negative sequence voltage variable quantity, residual voltage variable quantity, Δ I
1, Δ I
2, Δ I
0be respectively forward-order current variable quantity, negative-sequence current variable quantity, zero-sequence current variable quantity,, Δ I
1ifor the positive sequence Injection Current variable quantity at website i place.
Can be obtained by formula (6), formula (7):
ΔU
Ai=(Z
ii-1+Z
ii-2+Z
ii-0)ΔI
1i(8)
ΔU
Aj=(Z
ij-1+Z
ij-2+Z
ij-0)ΔI
1i
In formula: Δ U
aifor the A phase voltage variable quantity at website i place, Δ U
ajfor the A phase voltage variable quantity at Inverter Station j place.
Adopt perunit value to calculate, before fault, the voltage of each website can be thought and equals perunit value 1, website i place generation A phase single-phase short circuit, and A phase voltage drops to 0, A phase voltage variation delta U
ai=1.Can be obtained by formula (8):
Can be obtained the A phase voltage variation delta U at Inverter Station j place by formula (9)
ajvalue and positive and negative zero sequence mutual impedance and with positive and negative zero sequence self-impedance and ratio k
ijequate, therefore, can use k
ijsize judge whether Inverter Station j commutation failure occurs, if k
ij> 0.1 is the A phase voltage landing Δ U at Inverter Station j place
ajbe greater than 10%, can think that commutation failure occurs Inverter Station j.
Below by embodiment, the present invention is done to further supplementary notes:
South electric network has 5 go back tos direct currents feed-in Guangdong simultaneously for 2012, comprises that city, river direct current, Tianguang HVDC, Xingan's direct current, height start direct current, Chu Sui direct current.According to south electric network rich large mode data in 2012, calculate 50 of the domestic current conversion station of Guangdong Power Grid near regions 500kV plant stand outlet generation single-phase earthing fault and whether can cause each direct current generation commutation failure.
There is single-phase short circuit taking Boluo station as example, try to achieve positive sequence, negative phase-sequence, zero sequence mutual impedance between positive sequence, negative phase-sequence, zero sequence self-impedance and Boluo station and each Inverter Station at Boluo station, and try to achieve three-phase self-impedance and three order mutual impedance and corresponding ratio, the results are shown in table 1.
From the result of calculation of table 1, three order mutual impedance between Boluo station and each Inverter Station and the ratio of Boluo station three order self-impedances are all greater than 0.1, can think, Boluo station single-phase short circuit occurs and may cause 5 times direct currents that commutation failure occurs simultaneously.
The computational methods of other each websites are similar, result of calculation is in table 2 in detail, and according to result of calculation, draw and may cause that the fault zone figure of commutation failure occurs for 5 times direct currents simultaneously, see accompanying drawing 2, the scope that in figure, black line surrounds is possible cause that the fault zone of commutation failure occurs simultaneously for 5 times direct currents.
Table 1 rich large mode 500kV Boluo station single-phase earthing fault in 2012 causes direct current commutation failure computational chart
Table 2 rich large mode Guangdong 500kV plant stand single-phase earthing fault in 2012 causes direct current commutation failure computational chart