CN110661260B - Power grid load flow calculation method based on four-winding induction filter transformer equivalent model - Google Patents
Power grid load flow calculation method based on four-winding induction filter transformer equivalent model Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/01—Arrangements for reducing harmonics or ripples
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/04—Circuit arrangements for ac mains or ac distribution networks for connecting networks of the same frequency but supplied from different sources
- H02J3/06—Controlling transfer of power between connected networks; Controlling sharing of load between connected networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/18—Arrangements for adjusting, eliminating or compensating reactive power in networks
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/30—Reactive power compensation
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E40/00—Technologies for an efficient electrical power generation, transmission or distribution
- Y02E40/40—Arrangements for reducing harmonics
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Abstract
The invention discloses a power grid load flow calculation method based on a four-winding induction filter transformer equivalent model, which comprises the steps of obtaining a topological structure of a power grid and power grid working parameters; carrying out load flow calculation model modeling on the power grid; and carrying out power grid load flow calculation. The power grid load flow calculation method based on the four-winding induction filter transformer equivalent model improves the accuracy and reliability of power grid load flow calculation by carrying out equivalent modeling on the four-winding induction filter transformer and establishing the calculation model, and is relatively simple and convenient to implement.
Description
Technical Field
The invention particularly relates to a power grid load flow calculation method based on an equivalent model of a four-winding induction filter transformer.
Background
With the development of economic technology and the improvement of living standard of people, electric energy becomes a secondary energy source essential for production and living of people, and brings endless convenience to production and living of people. Therefore, ensuring reliable and stable operation of the power system becomes one of the most important tasks of the power system.
Grid load flow calculation is a basic electrical calculation for studying the steady-state operation condition of a power system. The task of the system is to determine the operating state of the whole system, such as the voltage (amplitude and phase angle) on each bus, the power distribution in the network, and the power losses, according to given operating conditions and network architecture. The result of the power grid load flow calculation is the basis of the stability calculation and the fault analysis of the power system.
At present, in a 220kV transformer substation, a 110kV medium-voltage side and a 35kV low-voltage side directly supply power to nonlinear loads such as a high-power converter enterprise and locomotive traction, the nonlinear loads contain a large amount of harmonic current components, and harmonic current can be injected into an alternating current power grid at a 220kV high-voltage side through a load side of a three-winding power transformer to pollute the quality of a public power grid. Therefore, the power grid adopts a new scheme of realizing harmonic suppression and reactive compensation by adopting a four-winding induction filter transformer. The four-winding induction filtering transformer adopts the modern induction filtering technology and consists of high, medium and low voltage windings and an induction filtering winding. When harmonic current exists at the middle/low voltage side, the induction filter winding is externally connected with a filter device to shield the harmonic current at the middle/low voltage side, so that the quality of a power grid at the high voltage side is improved; when no harmonic current exists at the middle/low voltage side, the reactive power is compensated in situ by externally connecting a capacitor bank through the induction filter winding. Therefore, the four-winding induction filter transformer has the functions of harmonic suppression and reactive compensation, and has the functions of electric energy conversion and transmission of different voltage grades.
However, the research on the four-winding induction filter transformer is relatively few at present, so that when the four-winding induction filter transformer is applied to a power grid, a power grid load flow calculation model changes, the accuracy of power grid load flow calculation is reduced, and the accuracy and the reliability of a power grid load flow calculation result are seriously influenced.
Disclosure of Invention
The invention aims to provide a power grid load flow calculation method based on a four-winding induction filter transformer equivalent model, which is high in reliability and accuracy.
The invention provides a power grid load flow calculation method based on an equivalent model of a four-winding induction filter transformer, which comprises the following steps of:
s1, acquiring a topological structure of a power grid and power grid working parameters;
s2, carrying out load flow calculation model modeling on the power grid;
and S3, carrying out power grid load flow calculation according to the model established in the step S2 and the power grid working parameters obtained in the step S1.
And S2, modeling the power grid through a load flow calculation model, specifically, modeling a four-winding induction filter transformer in the power grid.
The modeling of the four-winding induction filter transformer in the power grid specifically comprises the following steps:
A. establishing a conventional node admittance matrix of the four-winding induction filter transformer according to kirchhoff's law, a magnetomotive force balance equation and a port input equation;
B. and establishing an equivalent admittance matrix of the four-winding induction filter transformer by adopting a reduction method.
The step A of establishing the conventional node admittance matrix of the four-winding induction filter transformer specifically comprises the following steps of:
a. the kirchhoff voltage law is adopted to analyze the four-winding induction filter transformer, and the following equation set is obtained:
in the formula I φiR Phase current of phi-phase i-th winding, U φiR Phase voltage of the i-th winding of phi phase, W i The number of turns of the ith winding is, i is the label of each winding of the four-winding induction filter transformer, and is 1, 2, 3 or 4 respectively; y is 14 Admittance parameter, y, of short-circuit impedance of high-voltage winding and filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 Admittance parameters of low and filter winding short circuit impedance; the current flowing into the transformer in the direction of the port is defined as the positive direction, and the voltage of the port is the voltage of the node to the ground;
b. according to the magnetic potential equilibrium equation, the following equation is obtained:
W 1 I φ1R +W 2 I φ2R +W 3 I φ3R +W 4 I φ4R ＝0
in the formula I φiR Phase current of phi-phase i-th winding, W i The number of turns of the ith winding is 1, 2, 3 or 4, and the labels of the windings of the i four-winding induction filter transformer are respectively;
c. according to the port input characteristics, the following port input equation set is obtained:
in the formula I φnD For each winding port current, I φnR For each winding current, U φnD For each winding port voltage, U φnR For each winding voltage, I AkD Is a phase A port current, I AkR Is a phase A winding current, I BkR For winding current of B phase, U AkR Is a phase A winding voltage, U AkD Is the voltage of the phase-a port,U CkD is the C-phase port voltage; n is 1 or 2, k is 3 or 4;
d. according to kirchhoff's law, a magnetomotive balance equation and a port input equation, the following conventional node admittance matrix of the four-winding induction filter transformer is established:
in the formula I A1～4D For A phase port current, U A1～4D For the A phase port voltage, I B1～4D For B-phase port current, U B1～4D Is the voltage of each port of phase B, I C1～4D For C-phase port currents, U C1～4D For each port voltage of C phase, m =1 & lt 30 DEG, Y D4×4 Is a block matrix of order 4, and
and B, establishing an equivalent admittance matrix of the four-winding induction filter transformer by adopting a reduced order method, specifically adopting the following equation as a final equivalent admittance matrix of the four-winding induction filter transformer:
in the formula I A1～3D Is A phase high, medium and low winding port current, U A1～3D Is A phase high, medium and low winding port voltage, I B1～3D Is B phase high, medium and low winding port current, U B1～3D Is the high, medium and low winding port voltage of phase B, I C1～3D Is C-phase high, medium and low winding port current, U C1～3D Is the C-phase high, medium and low winding port voltage, y FD Is a single-phase total admittance of an external commissioning filtering device
Y D3×3 Is a block matrix of A-phase or B-phase or C-phase high, medium and low winding ports, and
wherein W i The number of turns of the ith winding is 1, 2, 3 or 4; y is 14 Admittance parameter, y, of short-circuit impedance of high-voltage winding and filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 The admittance parameters of the short-circuit impedance of the low and filtering windings.
The power grid load flow calculation method based on the four-winding induction filter transformer equivalent model improves the accuracy and reliability of power grid load flow calculation by carrying out equivalent modeling on the four-winding induction filter transformer and establishing the calculation model, and is relatively simple and convenient to implement.
Drawings
FIG. 1 is a schematic process flow diagram of the process of the present invention.
Fig. 2 is an electrical schematic of a four-winding induction filter transformer of the method of the present invention.
FIG. 3 is a schematic diagram of a coupling circuit of a four-winding transformer according to the method of the present invention.
Fig. 4 is a single phase equivalent circuit of a four winding induction filter transformer of the method of the present invention.
Detailed Description
For a four-winding induction filter transformer, the structure is shown in fig. 2: each phase of the four-winding induction filter transformer comprises four windings, and the No. 1 winding is a 220kV high-voltage winding and is connected with the power grid source side; the No. 2 winding is a 110kV medium-voltage winding and is connected with nonlinear loads of ferrous metallurgy enterprises and the like; the No. 3 winding is a 35kV low-voltage winding and is connected with nonlinear loads of various domestic electronic equipment and the like; the No. 4 winding is an induction filtering winding and is externally connected with a filtering device; FIG. 3 is a schematic diagram of a coupling circuit of a four-winding transformer according to the method of the present invention, I φiR Phase current of phi-phase i-th winding, U φiR For phase of phi-phase i-th windingPressure, W i The number of turns of the ith winding is set, and the value range of i is 1, 2, 3 or 4; defining the direction of port current flowing into the transformer as the forward direction, wherein the port voltage is the voltage of the node to ground;
FIG. 1 is a schematic flow chart of the method of the present invention; the invention provides a power grid load flow calculation method based on a four-winding induction filter transformer equivalent model, which comprises the following steps of:
s1, acquiring a topological structure of a power grid and power grid working parameters;
s2, carrying out load flow calculation model modeling on the power grid, specifically comprising modeling a four-winding induction filter transformer in the power grid; the modeling of the four-winding induction filter transformer was performed using the following steps (analysis according to fig. 3 and 4):
A. establishing a conventional node admittance matrix of the four-winding induction filter transformer according to kirchhoff's law, a magnetomotive force balance equation and a port input equation; specifically, the method comprises the following steps of establishing a conventional node admittance matrix of the four-winding induction filter transformer:
a. the kirchhoff voltage law is adopted to analyze the four-winding induction filter transformer, and the following equation set is obtained:
in the formula I φiR Phase current of phi-phase i-th winding, U φiR Phase voltage of the i-th winding of phi phase, W i The number of turns of the ith winding is, i is the mark number of each winding of the four-winding induction filter transformer and is 1, 2, 3 or 4 respectively; y is 14 Admittance parameter, y, of short-circuit impedance of high-voltage winding and filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 Admittance parameters of low and filter winding short circuit impedance; the current flowing into the transformer in the port current direction is defined to be positive, and the port voltage is the voltage of the node to ground;
b. according to the magnetic potential equilibrium equation, the following equation is obtained:
W 1 I φ1R +W 2 I φ2R +W 3 I φ3R +W 4 I φ4R ＝0
in the formula I φiR Phase current of phi-phase i-th winding, W i The number of turns of the ith winding is set, and the value range of i is 1, 2, 3 or 4;
c. according to the port input characteristics, the following port input equation set is obtained:
in the formula I φnD For each winding port current, I φnR For each winding current, U φnD For each winding port voltage, U φnR For each winding voltage, I AkD Is a phase A port current, I AkR Is a phase A winding current, I BkR For winding current of B phase, U AkR Is a phase A winding voltage, U AkD Is A phase port voltage, U CkD Is the C phase port voltage; n is 1 or 2, k is 3 or 4;
d. according to kirchhoff's law, a magnetomotive balance equation and a port input equation, the following conventional node admittance matrix of the four-winding induction filter transformer is established:
in the formula I A1～4D For A phase port current, U A1～4D Is the voltage of each port of phase A, I B1～4D For B-phase port current, U B1～4D Is the voltage of each port of phase B, I C1～4D For C-phase port currents, U C1～4D For each port voltage of C phase, m =1 ≈ 30 DEG Y D4×4 Is a block matrix of order 4, and
B. establishing an equivalent admittance matrix of the four-winding induction filter transformer by adopting a reduction method; specifically, the following equation is adopted as the final equivalent admittance matrix of the four-winding induction filter transformer:
in the formula I A1～3D Is A-phase high, medium and low winding port current, U A1～3D Is A phase high, medium and low winding port voltage, I B1～3D Is B phase high, medium and low winding port current, U B1～3D Is the high, medium and low winding port voltage of phase B, I C1～3D Is C-phase high, medium and low winding port current, U C1～3D Is the C-phase high, medium and low winding port voltage, y FD Is a single-phase total admittance of an external commissioning filtering device
Y D3×3 Is a block matrix of A-phase or B-phase or C-phase high, medium and low winding ports, and
wherein W i The number of turns of the ith winding is 1, 2, 3 or 4; y is 14 Admittance parameter, y, of the short-circuit impedance of the high-voltage winding and the filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 Admittance parameters of low and filter winding short circuit impedance;
and S3, carrying out power flow calculation according to the model established in the step S2 and the power grid working parameters obtained in the step S1.
Claims (2)
1. A power grid load flow calculation method based on a four-winding induction filter transformer equivalent model comprises the following steps:
s1, acquiring a topological structure of a power grid and power grid working parameters;
s2, carrying out load flow calculation model modeling on the power grid; the method specifically comprises the steps of modeling a four-winding induction filter transformer in a power grid; the modeling is carried out by adopting the following steps:
A. establishing a conventional node admittance matrix of the four-winding induction filter transformer according to kirchhoff's law, a magnetomotive force balance equation and a port input equation;
B. establishing an equivalent admittance matrix of the four-winding induction filter transformer by adopting a reduction method; specifically, the following equation is adopted as the final equivalent admittance matrix of the four-winding induction filter transformer:
in the formula I A1～3D Is A phase high, medium and low winding port current, U A1～3D Is A phase high, medium and low winding port voltage, I B1～3D Is B phase high, medium and low winding port current, U B1～3D Is the high, medium and low winding port voltage of phase B, I C1～3D Is C-phase high, medium and low winding port current, U C1～3D Is the C-phase high, medium and low winding port voltage, y FD Is a single-phase total admittance of an external commissioning filtering device
Y D3×3 Is a block matrix of A-phase or B-phase or C-phase high, medium and low winding ports, and
wherein W i The number of turns of the ith winding is set, and the value range of i is 1, 2, 3 or 4; y is 14 Admittance parameter, y, of short-circuit impedance of high-voltage winding and filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 Admittance parameters of low and filter winding short circuit impedance;
and S3, carrying out power flow calculation according to the model established in the step S2 and the power grid working parameters obtained in the step S1.
2. The method for calculating power flow of a power grid based on an equivalent model of a four-winding induction filter transformer as claimed in claim 1, wherein the step a of establishing a conventional node admittance matrix of the four-winding induction filter transformer specifically comprises the following steps of:
a. the kirchhoff voltage law is adopted to analyze the four-winding induction filter transformer, and the following equation set is obtained:
in the formula I φiR Phase current of phi-phase i-th winding, U φiR Phase voltage of the i-th winding of phi phase, W i The number of turns of the ith winding is 1, 2, 3 or 4; y is 14 Admittance parameter, y, of the short-circuit impedance of the high-voltage winding and the filter winding 23 Admittance parameter, y, for medium and low short-circuit impedances 24 Admittance parameter, y, of short-circuit impedance of medium and filter windings 34 Admittance parameters of low and filter winding short circuit impedance; the current flowing into the transformer in the port current direction is defined to be positive, and the port voltage is the voltage of the node to ground;
b. according to the magnetic potential equilibrium equation, the following equation is obtained:
W 1 I φ1R +W 2 I φ2R +W 3 I φ3R +W 4 I φ4R ＝0
in the formula I φiR Phase current of phi-phase i-th winding, W i The number of turns of the ith winding is set, and the value range of i is 1, 2, 3 or 4;
c. according to the port input characteristics, the following port input equation set is obtained:
in the formula I φnD For each winding port current, I φnR For each winding current, U φnD For each winding port voltage, U φnR For each winding voltage, I AkD Is a phase A port current, I AkR Is a phase A winding current, I BkR Is the B-phase winding current, U AkR For phase A winding voltage, U AkD Is A phase port voltage, U CkD Is the C-phase port voltage; n is 1 or 2, k is 3 or 4;
d. according to kirchhoff's law, a magnetomotive balance equation and a port input equation, the following conventional node admittance matrix of the four-winding induction filter transformer is established:
in the formula I A1～4D For each port current of phase A, U A1～4D Is the voltage of each port of phase A, I B1～4D For B phase port current, U B1～4D Is the voltage of each port of phase B, I C1～4D For C-phase port currents, U C1～4D For each port voltage of C phase, m =1 & lt 30 DEG, Y D4×4 Is a block matrix of order 4, an
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