CN105631209A - Cross-voltage fault current calculating method used when mixed-voltage same-tower four-circuit transmission line single phase-cross-singe phase fault occurs - Google Patents
Cross-voltage fault current calculating method used when mixed-voltage same-tower four-circuit transmission line single phase-cross-singe phase fault occurs Download PDFInfo
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Abstract
Provided is a cross-voltage fault current calculating method used when a mixed-voltage same-tower four-circuit transmission line single phase-cross-singe phase fault occurs. In a weak-current strong-magnetism system, positive and negative sequence equivalent impedances, reduced to the position of a fault point, of two systems different in voltage class are calculated respectively to obtain positive and negative sequence networks; the zero sequence networks of the two systems are decoupled in a unified mode; the zero sequence impedances of the two systems are subjected to unified reduction to obtain unified zero sequence networks of the two systems; fault current calculation is performed after a composite sequence network diagram of the two reduced, combined and unified zero sequence networks is obtained. The weak-current strong-magnetism system is divided into a weak-current strong-magnetism portion and a current source formed by a transformer, and finally the two portions are superposed to obtain fault current. The cross-voltage fault current calculating method is suitable for calculation of single phase-cross-singe phase cross-voltage faults, the problems of complicated coupling between the two systems and large calculation amount of a too-high-order decoupling method when a cross-voltage fault occurs can be effectively solved, and a firm theoretical basis is provided for relay protection when the mixed-voltage same-tower four-circuit transmission line single phase-cross-singe phase fault occurs.
Description
Technical field
The invention belongs to circuit relay protection field, it is specifically related to mixed pressure, with tower four loop line system, single-phase fault current method of calculation when the single-phase fault occurs, for relaying provides solid theoretical basis.
Background technology
Existing failure analysis methods is aimed at single loop line trouble analysis more, analyze with voltage range double line down and with the trouble analysis of voltage range four loop line, and only is all the six-sequence component continuing to use double loop to mixed pressure with tower four loop line failure analysis methods. In current domestic route protection, employing method ignores mixed pressure with the mutual inductance between the different voltage range of tower, and electrical link is carried out rough equivalence, then two double loop systems is carried out independent configuration protection.
Mixed pressure occurs when the voltage fault with tower four loop line, and due to the mutual inductance between different voltage range, fault feature is complicated; Considering the electrical link between two voltage ranges again, analytical procedure is more complicated. Classical failure analysis methods, can be used for the various ground connection of the single line of single loop line, double loop and alternate fault, step is positive and negative, the zero-sequence network figure that calculate reduction to short dot, calculates the final condition of trouble spot, obtains sequence network figure and carry out calculation of fault. To the strong magnetic system of the light current disregarding electrical link between two systems when voltage fault carries out calculation of fault, two system reduction easily obtain respectively to the positive and negative sequence impedance of short dot, but cause zero sequence impedance between two systems but can not independently obtain due to the mutual inductance between two voltage ranges again; Final condition is also no longer independent simultaneously, but relevant with another one system, also cannot draw according to the sequence network figure of final condition. After considering the electrical link of two voltage ranges, then not only zero-sequence network figure cannot independently calculate again, and the network chart of positive and negative sequence also cannot independently calculate. Therefore, what adopt in current domestic route protection is ignore mixed pressure with the mutual inductance between the different voltage range of tower, and electrical link is carried out rough equivalence, and then two double loop systems carry out the method for independent configuration protection.
Summary of the invention
For solving the above-mentioned problems in the prior art, the present invention proposes mixed pressure with the single-phase fault current method of calculation when the single-phase fault of tower four loop line. Adopt the technical scheme of the present invention, it is possible to realize accurately calculating fault current when voltage fault, for analyzing the theoretical basis that various principle relaying provides solid.
In order to understand the technical scheme of the present invention better, first the technology occurred in the present invention is described as follows:
The same tower of mixed pressure: the transmitting line referring to the different voltage range of erection on same transmission tower; Need to pointing out that what the present invention studied is the same tower section of two different voltage range transmitting line, power supply tower sections different from other do Dai Weinan equivalent process, and power supply and different tower section are equivalent to power supply and outlet impedance manner.
Light current strong magnetic transmission of electricity system: the electromagnetic connection between multiple-loop line transmitting line is relatively strong, electrical link is more weak, and the transmission of electricity system that electrical link can be ignored compared with electromagnetic connection is called the strong magnetic system of light current.
Forceful electric power weak magnetic transmission of electricity system: there is transformer between different voltage range and connect, makes the electrical link between multiple-loop line transmitting line relatively strong, and the transmission of electricity system can not ignore is called the weak magnetic system of forceful electric power; Mixed pressure of the present invention comprises transmitting line and both sides power-supply system with tower transmission of electricity system, transformer is had to connect between the power-supply system of side, namely there is electrical link between different voltage range, it is " the weak magnetic transmission of electricity system of forceful electric power ", otherwise be " the strong magnetic transmission of electricity system of light current ".
Across voltage fault: the cross line fault between different voltage range is called across voltage fault, can be divided into across voltage ground fault with across voltage phase to phase fault across voltage fault.
For reaching above object, the present invention by the following technical solutions:
A kind of mixed pressure with tower four loop line single-phase across single-phase across voltage fault current method of calculation, described mixed pressure comprises the double loop transmission of electricity system of two different voltage ranges with tower four loop line system, when not having transformer to connect between the double loop transmission of electricity system of two different voltage ranges, described mixed pressure belongs to the strong magnetic transmission of electricity system of light current with tower four loop line system, it is characterized in that, described method of calculation comprise the following steps:
Step 1: when mixed pressure with tower four loop line system occur single-phase across single-phase voltage fault time, calculate reduction respectively to the electromotive force size of two different voltage ranges transmission of electricity systems of fault point and positive and negative sequence impedance; Wherein, two different voltage range transmission of electricity systems adopt I, II system representation respectively, and the electromotive force size of I, II system is respectivelyPositive sequence impedance is respectively Z1����Negative phase-sequence impedance is respectively Z2����Subscript �� represents I system,Representing II system, all can represent the A/B/C three-phase of two systems, 1,2 represents positive and negative sequence respectively;
Step 2: undertaken unifying decoupling zero by the zero-sequence network of in step 1 two different voltage range transmission of electricity systems, bus it is total between same voltage range circuit, between I, II system line altogether, four loop line zero-sequence networks after unifying decoupling zero are obtained by the method for parallel double loop;
Step 3: undertaken unifying reduction by by the zero-sequence network of two different voltage range transmission of electricity systems after the unified decoupling zero of step 2 and I, II system, taking ground, the short dot these 3 of two systems is as node, other nodes of cancellation obtain the equivalent zero-sequence network of unified I, II system, representing with Y form, wherein the zero sequence impedance of I system short dot node place is Z0��, the place's zero sequence impedance of II system short-circuit point node isThe zero sequence impedance of ground node place is Z0M, 0 in subscript represents zero sequence;
Step 4: single-phase across the single-phase final condition across voltage ground fault and phase to phase fault be
Represent short dot voltage to ground, when wherein there is ground faultRepresent the I system under light current strong magnetic system respectively or II system fault electric current is positive and negative, zero sequence component,Then representing the I system under light current strong magnetic system or II system fault voltage is positive and negative, zero sequence component, lower target implication is identical with implication in step 1,3, wherein subscript ��/Represent I system or II system; According to the electromotive force of I, II system, positive and negative network, and it is combined into unified sequence network according to the zero-sequence network after the unified reduction of step 3;
Step 5: carry out light current strong magnetic mixed pressure with the single-phase calculating across single-phase fault electric current of tower four loop line according to following formula on the compound sequence network figure basis that step 4 obtains;
Fault current during ground fault is:
During phase to phase fault, fault current is
WhereinIn formulaThe I system fault current being expressed as under light current strong magnetic system is positive and negative, zero sequence component;Then represent that II system fault electric current is positive and negative, zero sequence component.
The present invention also comprises following preferred version further:
When described mixed pressure is connected by transformer with the double loop transmitting line of two different voltage ranges in tower four loop line system, described mixed pressure belongs to the weak magnetic system of forceful electric power with tower four loop line system, under forceful electric power weak magnetic system mixed pressure with tower four loop line single-phase across single-phase in voltage fault current calculates, needing is the strong magnetic transmission of electricity components of system as directed of light current disregarding transformer with tower four loop line system divides by the mixed pressure under weak for forceful electric power magnetic system, with the current source part that transformer is formed, two-part fault current component superposition can be obtained single-phase under forceful electric power weak magnetic system across single-phase across voltage fault current.
Therefore, under forceful electric power weak magnetic system single-phase across single-phase across voltage fault current method of calculation except comprising aforesaid step 1-5 also further comprising the steps:
Step 6: the single-phase fault current component under single-phase fault that the current source that calculating transformer is formed is formed, according to the single-phase fault current surveying transformer portion under single-phase fault type, the current source that transformer is formed is decomposed into current source positive and negative, zero sequence; According to transformer formed current source act on separately time mixed pressure with tower transmitting line positive and negative, zero-sequence network, calculate I, II system two fault point the fault current component provided by current sourceWherein,Represent when only having transformer portion current source that I system fault current is positive and negative, zero sequence component respectively,Represent positive and negative, the zero sequence component of II system when only having transformer portion current source respectively;
Step 7: two portions fault current step 5,6 calculated superposition respectively, obtains forceful electric power weak magnetic mixed pressure single-phase across single-phase fault current value with tower four loop lineWherein It is respectively the fault current positive sequence of single-phase I, II system when single-phase fault of the forceful electric power taking into account transformer weak magnetic system, negative phase-sequence, zero sequence value.
The invention has the beneficial effects as follows: the phase-selecting method of the present invention can accurately calculate mixed pressure with the single-phase fault current when the single-phase voltage fault of tower, and fault characteristic when giving this kind of fault, for the analysis of various principle relaying provides theoretical basis. Further, the failure analysis methods of the present invention calculates simple, calculates with positive and negative, zero sequence component, eliminates the complicated calculations of the decoupling method of other various high-orders.
Accompanying drawing explanation
Fig. 1 be have the mixed pressure of electrical connection with tower four loop line across voltage fault model;
Fig. 2 is the fault model that electromotive force of source acts on separately;
Fig. 3 is the fault model that transformer source acts on separately;
Fig. 4 is the equivalent circuit diagram of light current strong magnetic system parallel double loop zero-sequence network;
Fig. 5 is that the strong magnetic system of light current is with tower four loop line zero sequence equivalent circuit diagram;
Fig. 6 is that the strong magnetic system of light current is with tower four loop line zero sequence equivalent circuit reduction model schematic;
Fig. 7 is the single-phase compound sequence diagrams across single-phase earthing fault C-a-g fault of light current strong magnetic system;
Fig. 8 is the single-phase compound sequence diagrams across single-phase phase to phase fault C-a fault of light current strong magnetic system.
Embodiment
Below in conjunction with accompanying drawing and the technical scheme of the present invention is described further by embodiment.
This application discloses a kind of mixed pressure with tower four loop line single-phase across single-phase across voltage fault current method of calculation, described mixed pressure comprises the double loop transmission of electricity system of two different voltage ranges with tower four loop line system, when not having transformer to connect between the double loop transmission of electricity system of described two different voltage ranges, described mixed pressure belongs to the strong magnetic transmission of electricity system of light current with tower four loop line system.
Mixed pressure under light current strong magnetic system comprises the following steps across single-phase calculating across voltage fault current with tower four loop line is single-phase:
Step 1: calculate reduction to the electromotive force size of two different voltage ranges transmission of electricity systems of fault point and positive and negative sequence impedance. For a phase of the C phase of I system across II system, wherein the electromotive force size of I, II system is respectivelyPositive sequence impedance is respectively Z1����Negative phase-sequence impedance is respectively Z2����Subscript �� represents I system,Representing II system, capital C represents the C phase of I system, and lowercase a represents a phase of II system, and 1,2 represents positive and negative sequence respectively.
Step 2: use decoupling method to be undertaken unifying decoupling zero by the zero-sequence network of two transmission of electricity systems. Be total to bus between same voltage range circuit, then decoupling zero is identical as shown in Figure 4 with general parallel double loop decoupling zero, and bus place connects mutual inductance. Then subtracting mutual inductance in zero sequence impedance respectively on double loop, each node zero sequence voltage after decoupling zero, zero sequence electric current are identical, are all the decoupling zero between identical voltage range in the broken box in accompanying drawing 5. Between different voltage range circuit altogether, the method for decoupling method parallel double loop can obtain four loop line zero-sequence networks after unified decoupling zero equally, as shown in the solid box in accompanying drawing 5.
Step 3: undertaken unifying reduction by the zero-sequence network of two different transmission of electricity systems, as shown in Figure 5. Taking ground, the short dot of two systems etc. 3 use Y/ �� convert respectively as node, other nodes of equivalent method cancellation such as series-parallel connection obtain the equivalent zero-sequence network of system one or two system, as shown in Figure 6. Represent with Y form. Wherein the zero sequence impedance of I system short dot node place is Z0��, the place's zero sequence impedance of II system short-circuit point node isThe zero sequence impedance of node place, place is Z0M, 0 in subscript represents zero sequence.
Step 4: single-phase across the single-phase final condition across voltage ground fault and phase to phase fault be Represent short dot voltage to ground, when wherein there is ground fault Represent the I system C phase under light current strong magnetic system respectively or II system a phase fault electric current is positive and negative, zero sequence component,Then representing the I system C phase under light current strong magnetic system or II system a phase fault electric current is positive and negative, zero sequence component, subscript is identical with implication in step 1,3, and subscript C/a represents I system C phase and II system a phase. Being combined into unified compound sequence network according to the above-mentioned electromotive force by two different transmission of electricity systems after unified reduction and positive and negative, zero sequence impedance network, respectively as shown in FIG. 7 and 8, Fig. 7 represents ground fault, and Fig. 8 represents phase to phase fault.
Step 5: carry out respectively on two compound sequence network figure bases light current strong magnetic mixed pressure with tower four loop line single-phase across single-phase fault time fault current calculate, the fault current easily obtained under two kinds of fault types according to the topological framework of Fig. 7 and Fig. 8 is respectively, under ground faultUnder phase to phase faultWhereinIn formulaRepresent that the fault current of I system C phase is positive and negative, zero sequence component respectively;Then represent the above-mentioned component of II system a phase.
Above step be the strong magnetic mixed pressure of described light current with tower four loop line single-phase across single-phase across voltage fault current method of calculation. There is the weak magnetic mixed pressure of the forceful electric power of electrical connection with tower four loop line system, such as, when transmitting line one end of different voltage range is connected by transformer, across voltage fault model as shown in Figure 1; To occurring the weak magnetic system of the forceful electric power across voltage fault to use superposition method, the power supply of fault current is provided to be divided into the supplying unit of the strong magnetic system of the light current disregarding electrical connection by for trouble spot, and the current source part that transformer is formed, as Figure 1-3. The fault current of two portions power supply offer can be provided respectively according to above thinking, then two portions electric current superposition is obtained the result of fault current. The fault current of light current strong magnetic part calculates identical with above-mentioned steps, and electric current overlapping portion step is as follows:
Step 6: the single-phase fault current under single-phase fault that the current source that calculating transformer is formed is formed, according to the fault current of actual measurement transformer portion, is decomposed into current source positive and negative, zero sequence; Draw positive and negative, the zero-sequence network topological diagram of Fig. 3 network respectively, the fault current of this part current source offer of two fault point is easily provided respectively according to electric network theory in this topological frameworkRepresent that I system fault current under transformer portion current source effect is positive and negative respectively, positive and negative, the zero sequence component of zero sequence component and II system.
Step 7: two portions fault current that step 5,6 is calculated superposition respectively,Other parts are analogized can obtain with theseNamely the fault current of single-phase I, II system when single-phase fault of the forceful electric power taking into account electrical connection weak magnetic system is obtained.
The above; being only the present invention's preferably embodiment, but protection scope of the present invention is not limited thereto, any people being familiar with this technology is in the technical scope disclosed by the present invention; the change that can expect easily or replacement, all should be encompassed within protection scope of the present invention. Therefore, protection scope of the present invention should be as the criterion with the protection domain of claim.
Claims (3)
1. a mixed pressure with tower four loop line single-phase across single-phase across voltage fault current method of calculation, described mixed pressure comprises the double loop transmission of electricity system of two different voltage ranges with tower four loop line system, when not having transformer to connect between the double loop transmission of electricity system of two different voltage ranges, described mixed pressure belongs to the strong magnetic transmission of electricity system of light current with tower four loop line system, it is characterized in that, described method of calculation comprise the following steps:
Step 1: when mixed pressure with tower four loop line system occur single-phase across single-phase voltage fault time, calculate reduction respectively to the electromotive force size of two different voltage ranges transmission of electricity systems of fault point and positive and negative sequence impedance; Wherein, two different voltage range transmission of electricity systems adopt I, II system representation respectively, and the electromotive force size of I, II system is respectivelyPositive sequence impedance is respectively Z1����Negative phase-sequence impedance is respectively Z2����Subscript �� represents I system,Representing II system, all can represent the A/B/C three-phase of two systems, 1,2 represents positive and negative sequence respectively;
Step 2: undertaken unifying decoupling zero by the zero-sequence network of in step 1 two different voltage range transmission of electricity systems, bus it is total between same voltage range circuit, between I, II system line altogether, four loop line zero-sequence networks after unifying decoupling zero are obtained by the method for parallel double loop;
Step 3: undertaken unifying reduction by by the zero-sequence network of two different voltage range transmission of electricity systems after the unified decoupling zero of step 2 and I, II system, taking ground, the short dot these 3 of two systems is as node, other nodes of cancellation obtain the equivalent zero-sequence network of unified I, II system, representing with Y form, wherein the zero sequence impedance of I system short dot node place is Z0��, the place's zero sequence impedance of II system short-circuit point node isThe zero sequence impedance of ground node place is Z0M, 0 in subscript represents zero sequence;
Step 4: calculate and single-phase across the single-phase final condition across voltage ground fault and phase to phase fault be
Represent short dot voltage to ground, when wherein there is ground faultRepresent the I system under light current strong magnetic system respectively or II system fault electric current is positive and negative, zero sequence component,Then represent the I system under light current strong magnetic system or II system fault voltage is positive and negative, zero sequence component, wherein subscriptRepresent I system or II system; It is combined into unified compound sequence network according to the positive and negative network of the electromotive force of I, II system and by the zero-sequence network after the unified reduction of step 3.
Step 5: carry out light current strong magnetic mixed pressure with the single-phase calculating across single-phase fault electric current of tower four loop line according to following formula on the compound sequence network figure basis that step 4 obtains;
Fault current during ground fault is:
During phase to phase fault, fault current is
WhereinIn formulaThe I system fault current being expressed as under light current strong magnetic system is positive and negative, zero sequence component;Then represent that II system fault electric current is positive and negative, zero sequence component.
2. mixed pressure according to claim 1 with tower four loop line single-phase across single-phase across voltage fault current method of calculation, it is characterised in that:
When described mixed pressure is connected by transformer with the double loop transmitting line of two different voltage ranges in tower four loop line system, described mixed pressure belongs to the weak magnetic system of forceful electric power with tower four loop line system, mixed pressure with tower four loop line single-phase across single-phase in voltage fault current calculates, needing is the strong magnetic transmission of electricity components of system as directed of light current disregarding transformer with tower four loop line system divides by the mixed pressure under weak for forceful electric power magnetic system, with the current source part that transformer is formed, two-part fault current component superposition can be obtained single-phase under forceful electric power weak magnetic system across single-phase across voltage fault current.
3. mixed pressure according to claim 1 with tower four loop line single-phase across single-phase across voltage fault current method of calculation, it is characterised in that:
When described mixed pressure is connected by transformer with the double loop transmitting line of two different voltage ranges in tower four loop line system, described mixed pressure belongs to the weak magnetic system of forceful electric power with tower four loop line system, mixed pressure with tower four loop line single-phase across single-phase in voltage fault current calculates, need to be disregard the strong magnetic transmission of electricity components of system as directed of the light current of transformer and current source part that transformer is formed with tower four loop line system divides by the mixed pressure under weak for forceful electric power magnetic system, under forceful electric power weak magnetic system single-phase across single-phase across voltage fault current method of calculation except the step in claim 1 also further comprising the steps:
Step 6: the single-phase fault current component under single-phase fault that the current source that calculating transformer is formed is formed, according to the single-phase fault current surveying transformer portion under single-phase fault type, the current source that transformer is formed is decomposed into current source positive and negative, zero sequence; According to transformer formed current source act on separately time mixed pressure with tower transmitting line positive and negative, zero-sequence network, calculate I, II system two fault point the fault current component provided by current sourceWherein,Represent when only having transformer portion current source that I system fault current is positive and negative, zero sequence component respectively,Represent positive and negative, the zero sequence component of II system when only having transformer portion current source respectively;
Step 7: two portions fault current step 5,6 calculated superposition respectively, obtains forceful electric power weak magnetic mixed pressure single-phase across single-phase fault current component with tower four loop lineWherein It is respectively the fault current positive sequence of single-phase I, II system when single-phase fault of the forceful electric power taking into account transformer weak magnetic system, negative phase-sequence, zero sequence value.
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