CN106291046B - Mixed pressure common-tower double-return line is single-phase across single-phase across voltage failure current calculation method - Google Patents
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Abstract
It is single-phase across single-phase across voltage failure current calculation method that the invention discloses mixed pressure common-tower double-return lines, comprising the following steps: calculate separately two different voltages grade transmission systems at reduction to non-working port positive and negative sequence impedance and positive and negative sequence network.Double loop zero sequence equivalent network between meter and two different voltages grade transmission systems.According to the equivalent zero-sequence network of the double loop zero sequence equivalent network query function one or two of different voltages grade transmission system of system.The positive and negative sequence network and the equivalent zero-sequence network are combined into the compound sequence network of two different voltages grade transmission systems.It is single-phase across the single-phase boundary condition across voltage ground failure according to the positive and negative sequence impedance computation.Fault current is calculated according to the compound sequence network and the boundary condition.The present invention ensure that the accuracy that mixed pressure common-tower double-return line is calculated across voltage failure using two-port network theory, and avoid high level matrix operation, calculate simple and reliable.
Description
Technical Field
The invention belongs to the field of line relay protection, and particularly relates to a fault current calculation method when a mixed-voltage same-tower double-loop strong-current weak-magnetic system has a single-phase cross single-phase earth fault.
Background
China's economy develops rapidly, and land resources are increasingly tense, and a power transmission technology with strong transmission capacity, less land occupation and full resource utilization is urgently needed. The same-tower multi-circuit transmission technology is produced, the multi-circuit transmission lines share the tower, the required outgoing line corridor is narrow, the construction speed is high, and the investment is saved. In order to improve the transmission capacity of the unit area of the corridor of the power transmission line, the adoption of the same tower for erecting multiple power transmission lines becomes a necessary trend for the development of high-voltage trunk net racks in China.
Meanwhile, the mixed-voltage same-tower-erected line brings huge challenges to the fault analysis and relay protection of the power system, and the same-tower line has various fault types, so that not only is a single-circuit fault, but also a cross-line fault of a cross-voltage grade exists particularly; the distance between the transmission lines is shortened, the zero sequence coupling is strong, and the relay protection which is judged by taking the zero sequence quantity as the basis, such as zero sequence current protection and grounding distance protection, is influenced; particularly, when different voltage classes are connected through a transformer, strong electrical connection exists, lines cannot be completely decoupled, and short-circuit current calculation is complex. The existing fault analysis of the same-tower line is mostly based on a double-circuit or four-circuit power transmission line with the same voltage grade, a six-sequence component method or a twelve-sequence component method is utilized for complete decoupling, the calculation process is complex, only the fault analysis of the mixed voltage line is carried out, and the fault analysis of the single circuit fault or the cross-line fault with the same voltage grade in the mixed voltage line is also mostly aimed at. The method adopted in the current domestic line protection is to ignore the zero sequence mutual inductance between different voltage classes of the mixed voltage tower, roughly perform equivalent on the electrical connection between different lines and independently configure the protection of systems with different voltage classes.
When a cross-voltage fault occurs in a mixed-voltage same-tower double-circuit strong-current weak-magnetic system, zero sequence mutual inductance of two lines with different voltage levels is considered, zero sequence nets of the two lines with different voltage levels cannot be drawn independently, electrical connection between the two lines with different voltage levels is considered, positive sequence nets and negative sequence nets of the two lines with different voltage levels cannot be drawn independently, a unified composite sequence network diagram cannot be synthesized through fault boundary conditions, and a classical sequence network diagram analysis method cannot be directly utilized. The traditional six-sequence component method is only suitable for a same-voltage-class system with completely symmetrical line parameters, and a cross-voltage-class system cannot be suitable due to asymmetrical parameters, so that an improved six-sequence component method is provided by a student, and the matrix order is still too high, so that the calculation is complex. Therefore, a new fault analysis method is needed to solve the problem of calculating the cross-voltage fault current of the mixed-voltage same-tower double-loop single-phase cross single-phase.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, provides a mixed-voltage same-tower double-loop single-phase cross-voltage fault current calculation method aiming at the difficulty in decomposing positive, negative and zero sequence impedances of power transmission lines with different voltage grades in a mixed-voltage same-tower double-loop strong-current weak-magnetic system, avoids high-order matrix operation and can realize accurate calculation of cross-voltage fault current.
In order to achieve the purpose, the technical scheme of the invention is as follows:
a mixed-voltage same-tower double-loop single-phase cross voltage fault current calculation method is characterized in that a double-port network theory is utilized to calculate the cross voltage ground fault current of two power transmission systems with different voltage levels; the method comprises the following steps:
step 1: and respectively calculating positive and negative sequence impedances and positive and negative sequence networks of the power transmission systems with two different voltage classes at the fault port. Step 2: and (4) a double-circuit zero-sequence equivalent network between two power transmission systems with different voltage levels is considered. And step 3: and calculating and unifying the equivalent zero sequence networks of the two power transmission systems with different voltage classes according to the double-circuit zero sequence equivalent network. And 4, step 4: and combining the positive sequence network, the negative sequence network and the equivalent zero sequence network into a composite sequence network diagram of two power transmission systems with different voltage levels. And 5: and calculating the boundary condition of the single-phase-crossing voltage-crossing ground fault according to the positive sequence impedance and the negative sequence impedance. Step 6: and calculating fault current according to the composite sequence network diagram and the boundary condition.
The step 1 comprises the following steps: respectively calculating positive sequence electromotive forces of two power transmission systems with different voltage grades; calculating and reducing the positive sequence impedance and the negative sequence impedance according to the positive sequence electromotive force of the power transmission systems with two different voltage grades; and respectively eliminating intermediate nodes of the positive sequence impedance and the negative sequence impedance to obtain a positive network and a negative network which unify the two power transmission systems with different voltage levels.
The step 2 comprises the following steps: the mutual inductance between two power transmission systems with different voltage grades is calculated; and uniformly decoupling zero sequence networks of two power transmission systems with different voltage levels to obtain the double-circuit zero sequence equivalent network.
The step 3 comprises the following steps: unified reduction is carried out on the double-circuit zero-sequence equivalent network; and eliminating the intermediate node of the double-circuit zero-sequence equivalent network after unified reduction to obtain the equivalent zero-sequence network.
The step 5 comprises the following steps: selecting a reference phase; calculating the boundary condition with the reference phase as a reference.
The reference phase is a phase A.
The boundary conditions include positive, negative and zero sequence components of a reference phase of fault current of two different voltage class power transmission systems.
The boundary conditions include positive, negative and zero sequence components of a reference phase of fault voltages of two different voltage class transmission systems.
The invention has the beneficial effects that:
the invention ensures the accuracy of mixed-voltage same-tower double-loop voltage-crossing fault calculation by using a double-port network theory, avoids high-order matrix operation and has simple and reliable calculation.
Drawings
Fig. 1 is a cross-voltage fault model of a mixed-voltage same-tower double-loop strong-current weak-magnetic system.
FIG. 2 is a schematic flow chart of the present invention.
Fig. 3 is a schematic diagram of a mixed-pressure same-tower double-loop positive-sequence equivalent network.
FIG. 4 is a simplified model diagram of a mixed-pressure same-tower double-loop positive-sequence equivalent network.
Fig. 5 is a schematic diagram of a parallel double-circuit zero-sequence decoupling equivalent network.
FIG. 6 is a schematic diagram of a zero-sequence equivalent network of a mixed-compression same-tower double-circuit line;
FIG. 7 is a simplified model diagram of a zero-sequence equivalent network of a mixed-compression same-tower double-circuit line.
Fig. 8 is a composite sequence network diagram of single-phase cross single-phase earth fault of the mixed-voltage same-tower double-loop system.
Detailed Description
The embodiments are described in detail below with reference to the accompanying drawings.
For better understanding of the technical solution of the present invention, the technical terms appearing in the present invention are first described as follows:
mixing and pressing in the same tower: power transmission lines with different voltage grades are erected on the same power transmission tower; the invention researches the same-tower parts of two power transmission lines with different voltage grades, and performs Thevenin equivalent transformation on a power supply and different tower parts to obtain an equivalent form of power supply and outlet impedance.
Strong current weak magnetism system: the transmission lines with different voltage grades are connected by transformers, so that the electrical connection between the transmission lines with multiple circuits on the same tower is strong, and a non-negligible transmission system is called a strong current and weak current system.
Weak current strong magnetic system: the power transmission system with stronger electromagnetic connection and weaker electrical connection among the multiple power transmission lines on the same tower and with negligible electrical connection compared with the electromagnetic connection is called as a weak-current strong-magnetic system and is generally a system without transformer connection among the power transmission lines with different voltage classes.
A voltage-crossing fault: a cross-line fault between different voltage classes is called a cross-voltage fault and can be divided into a cross-voltage ground fault and a cross-voltage ungrounded fault.
The mixed-voltage same-tower double-loop system comprises two power transmission lines with different voltage grades, a transformer is connected between the two power transmission lines with different voltage grades, and a fault model of the mixed-voltage same-tower double-loop strong-current weak-magnetic system is shown in an attached figure 1.
The cross-voltage fault current calculation method can accurately calculate the fault current of the cross-voltage ground fault under the complex electromagnetic coupling relation of the strong electric connection system.
Because the electric connection of the transformers exists between the power transmission lines with different voltage grades on the same tower, the electric connection is larger than the electromagnetic connection, when the mixed-voltage double-loop strong-current weak-magnetic system single-phase cross-voltage grounding fault current calculation is carried out, the cross-voltage fault is regarded as two fault points on different voltage grades, and the single-phase grounding fault occurs at the same time, namely, the double-repeated fault, and the fault current of the double-repeated fault of the two fault points on different voltage grades is calculated by using the double-port network theory.
As shown in fig. 2, the calculation method includes the steps of: step 1: and respectively calculating positive and negative sequence impedances and positive and negative sequence networks of the power transmission systems with two different voltage classes at the fault port. Step 2: and (4) a double-circuit zero-sequence equivalent network between two power transmission systems with different voltage levels is considered. And step 3: and calculating and unifying the equivalent zero sequence networks of the two power transmission systems with different voltage classes according to the double-circuit zero sequence equivalent network. And 4, step 4: and combining the positive sequence network, the negative sequence network and the equivalent zero sequence network into a composite sequence network diagram of the power transmission systems with two different voltage levels. And 5: and calculating the boundary condition of the single-phase-crossing voltage-crossing ground fault according to the positive sequence impedance and the negative sequence impedance. Step 6: and calculating fault current according to the composite sequence network diagram and the boundary condition.
Specifically, step 1 comprises: respectively calculating positive sequence electromotive forces of two power transmission systems with different voltage levels (S101); calculating and reducing the positive sequence impedance and the negative sequence impedance according to the positive sequence electromotive forces of two power transmission systems with different voltage grades (S102); and respectively eliminating the intermediate nodes of the positive sequence impedance and the negative sequence impedance to obtain a positive sequence network and a negative sequence network unifying the two power transmission systems with different voltage grades (S103).
More specifically, step 1 represents, by I, II, two different voltage class transmission systems, respectively; I. the positive sequence electromotive force of the II system is respectively expressed asAnd calculating the positive sequence impedance reduced to the fault port, wherein a schematic diagram of the positive sequence equivalent network is shown in the attached figure 3, and eliminating intermediate nodes to obtain an equivalent positive sequence network simplified model of a unified two-voltage-class system, which is represented in an I form. As shown in fig. 4, wherein the positive sequence impedance at the I system fault port is Z1.ΙPositive sequence impedance at system II fault port is Z1.ΙΙPositive sequence impedance to ground of Z1.M. Then, calculating and reducing the negative sequence impedance at the fault port, eliminating the intermediate node, obtaining an equivalent negative sequence network simplified model of the unified two voltage level systems, and expressing the equivalent negative sequence network simplified model in an I form, wherein the negative sequence impedance at the fault port of the I system is Z2.ΙNegative sequence impedance at system II fault port is Z2.ΙΙNegative sequence impedance to ground of Z2.M. The subscripts I, II represent the I, II systems respectively,representing A/B/C three-phase, 1, 2 and 0 respectively representing positive, negative and zero sequence.
Specifically, step 2 comprises: taking into account mutual inductance between two different voltage classes of power transmission systems (S201); and uniformly decoupling zero sequence networks of two power transmission systems with different voltage levels to obtain the double-circuit zero sequence equivalent network (S202).
More specifically, step 2 takes into account the inter-system mutual inductance at different voltage levels; the zero sequence networks of the two power transmission lines with different voltage levels in the step 1 are decoupled in a unified mode, lines of the I, II system with two voltage levels are grounded in a common mode, the double-circuit zero sequence equivalent network with two voltage levels unified after decoupling is obtained by the parallel double-circuit zero sequence impedance equivalence decoupling method shown in the attached drawing 5, and the schematic diagram of the decoupled zero sequence equivalent network is shown in the attached drawing 6.
Specifically, the step 3 includes: performing unified return on the double-circuit zero-sequence equivalent network (S301); and eliminating the middle node of the double-circuit zero-sequence equivalent network after unified reduction to obtain the equivalent zero-sequence network (S302).
More specifically, in step 3, the zero sequence equivalent networks of the two different voltage class power transmission systems decoupled uniformly in step 2 are reduced uniformly, the intermediate node is eliminated, and an equivalent zero sequence network simplified model of a uniform I, II two voltage class system is obtained and expressed in an "I" form, as shown in fig. 7, wherein the zero sequence impedance at the fault port of the I system is Z0.ΙZero sequence impedance at fault port of II system is Z0.ΙΙZero sequence impedance to ground of Z0.M。
Specifically, step 4 combines the positive and negative sequence networks of the unified I, II two voltage class systems obtained by the reduction in step 1 and the zero sequence network obtained by the unified reduction in step 3 into a composite sequence network diagram of the unified two voltage class systems, as shown in fig. 8.
Specifically, the step 5 includes: selecting a reference phase (S501); the boundary condition with the reference phase as a reference is calculated (S502).
In step 5, the boundary conditions for calculating the single-phase-to-single-phase voltage-to-ground fault are as follows:
whereinRespectively represent the positive, negative and zero sequence components of the fault current of the I system or II system of the mixed-voltage same-tower double-circuit line,it represents the system I or system II fault voltage positive, negative, zero sequence components, where the subscript I/II represents the system I or system II, and 1, 2, 0 represent the positive, negative, zero sequence, respectively.
According to the habit, the phase A is selected as a reference phase, the condition that fault special phases at two fault points are inconsistent with the reference phase is considered, a current and voltage sequence component boundary condition equation of the reference phase at a fault port is listed, and operator symbols related to fault phases are added in the boundary conditions.
The boundary conditions for calculating the single-phase-to-single-phase voltage-to-ground fault under the condition of taking the A phase as the reference phase are as follows:
wherein,respectively represent the positive, negative and zero sequence components of the fault current A phase of the system I and the system II of the mixed-pressure same-tower double-loop system, respectively representing the fault voltage A phase positive, negative and zero sequence components and the phase shift coefficient n of the I system and the II system of the mixed-voltage same-tower double-loop system1.I、n2.I、n0.I、n1.II、n2.II、n0.IIThe operator symbols respectively representing the I system and the II system of the mixed-pressure same-tower double-loop system and related to the fault phase can be 1, alpha2Wherein n is0.I，n0.IIThe numerical equation solution with constant 1 can be no longer written into the equation, where the subscripts I, II represent I, II system, a represents phase a, and 1, 2, and 0 represent positive, negative, and zero sequence, respectively.
Specifically, in step 6, according to the composite sequence network diagram column writing equation under the condition of the single-phase-crossing voltage-crossing ground fault of the mixed-voltage same-tower double-loop system, the following is performed:
in combination with fault boundary conditions, order
Solve the fault current of
Wherein,the fault current A phase positive, negative and zero sequence components of the system I and the system II of the mixed-voltage same-tower double-loop system are represented respectively.
The invention provides a novel fault current calculation method aiming at the difficulty in decomposing positive, negative and zero sequence impedances of power transmission lines with different voltage classes in a mixed-voltage same-tower double-loop strong-current weak-magnetic system. The method ensures the accuracy of mixed-voltage same-tower double-circuit line cross-voltage fault calculation, avoids high-order matrix operation, is simple and reliable in calculation, and has practical engineering significance.
The present invention is not limited to the above embodiments, and any changes or substitutions that can be easily made by those skilled in the art within the technical scope of the present invention are also within the scope of the present invention. Therefore, the protection scope of the present invention shall be subject to the protection scope of the claims.
Claims (8)
1. A mixed-voltage same-tower double-loop single-phase cross voltage fault current calculation method is characterized in that a double-port network theory is utilized to calculate the cross voltage ground fault current of two power transmission systems with different voltage levels; the method is characterized in that:
the method comprises the following steps:
step 1: respectively calculating positive sequence impedance, negative sequence impedance, positive sequence network and negative sequence network of two power transmission systems with different voltage grades at a fault port;
step 2: a double-loop zero-sequence equivalent network for calculating mutual inductance between two power transmission systems with different voltage levels;
and step 3: calculating and unifying equivalent zero sequence networks of two power transmission systems with different voltage classes according to the double-circuit zero sequence equivalent network;
and 4, step 4: combining the positive sequence network, the negative sequence network and the equivalent zero sequence network into a composite sequence network diagram of two power transmission systems with different voltage levels;
and 5: calculating the boundary condition of the single-phase-crossing voltage-crossing ground fault according to the positive sequence impedance and the negative sequence impedance;
step 6: and calculating fault current according to the composite sequence network diagram and the boundary condition.
2. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 1, characterized in that:
the step 1 comprises the following steps:
step 101: respectively calculating positive sequence electromotive forces of two power transmission systems with different voltage grades;
step 102: calculating and reducing the positive sequence impedance and the negative sequence impedance according to the positive sequence electromotive force of the power transmission systems with two different voltage grades;
step 103: and respectively eliminating intermediate nodes of the positive sequence impedance and the negative sequence impedance to obtain the positive sequence network and the negative sequence network which unify the two power transmission systems with different voltage grades.
3. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 1, characterized in that:
the step 2 comprises the following steps:
step 201: the mutual inductance between two power transmission systems with different voltage grades is calculated;
step 202: and uniformly decoupling zero sequence networks of two power transmission systems with different voltage levels to obtain the double-circuit zero sequence equivalent network.
4. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 1, characterized in that:
the step 3 comprises the following steps:
step 301: unified reduction is carried out on the double-circuit zero-sequence equivalent network;
step 302: and eliminating the intermediate node of the double-circuit zero-sequence equivalent network after unified reduction to obtain the equivalent zero-sequence network.
5. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 1, characterized in that:
the step 5 comprises the following steps:
step 501: selecting a reference phase;
step 502: calculating the boundary condition with the reference phase as a reference.
6. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 5, characterized in that:
the reference phase is a phase A.
7. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 5, characterized in that:
the boundary conditions include positive, negative and zero sequence components of a reference phase of fault current of two different voltage class power transmission systems.
8. The mixed-voltage same-tower double-loop single-phase-to-single-phase cross-voltage fault current calculation method according to claim 5, characterized in that:
the boundary conditions include positive, negative and zero sequence components of a reference phase of fault voltages of two different voltage class transmission systems.
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| CN107271787B (en) * | 2017-07-20 | 2019-08-02 | 南方电网科学研究院有限责任公司 | Method and device for determining additional impedance |
| CN109546631B (en) * | 2018-12-17 | 2019-12-06 | 天津大学 | Distance protection method suitable for cross-voltage grade cross-line fault of same-tower four-circuit line |
| CN110133420B (en) * | 2019-05-08 | 2021-07-16 | 华南理工大学 | Single-phase earth fault rapid linear calculation method for unbalanced power distribution network |
| CN112684375B (en) * | 2020-11-11 | 2024-05-17 | 大唐水电科学技术研究院有限公司 | Fault analysis method for two-phase broken lines of four-circuit lines erected on same tower at ultrahigh voltage |
| CN112684374A (en) * | 2020-11-11 | 2021-04-20 | 大唐水电科学技术研究院有限公司 | Fault analysis method for same-phase overline disconnection of four circuit lines on same tower |
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