CN113378500A - Method and device for calculating output voltage and current of phase-shifting transformer - Google Patents
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Abstract
The invention discloses a method and a device for calculating output voltage and current of a phase-shifting transformer, wherein the method comprises the following steps: establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer; determining equivalent impedance and a phase-shifting angle according to the equivalent model; constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle; and inputting the preset input voltage, the preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer. The invention performs input and output model equivalence on the phase-shifting transformer, and calculates the output voltage and current according to the input voltage and current of the phase-shifting transformer, thereby providing a basis for load flow calculation and short-circuit current calculation of a circuit with the phase-shifting transformer.
Description
Technical Field
The invention relates to the technical field of power system relay protection, in particular to a method and a device for calculating output voltage and current of a phase-shifting transformer.
Background
The phase-shifting transformer is an important device for controlling the power flow of a power system, the phase angle of output voltage and current is controlled by utilizing the deviation of wiring between the input and the output of the transformer, and the purpose of controlling the magnitude of active power transmitted by a line at the output end is further achieved. In addition, a phase-shifting transformer is added into the original power transmission network, so that a power transmission model is complicated, the relation between input and output voltages and currents in the network is difficult to determine, and great difficulty is brought to the load flow calculation and the short-circuit current calculation of the power transmission network.
Disclosure of Invention
The invention aims to provide a method and a device for calculating output voltage and current of a phase-shifting transformer, so as to solve the problem that load flow calculation and short-circuit current calculation of the phase-shifting transformer are difficult.
In order to achieve the above object, the present invention provides a method for calculating output voltage and current of a phase-shifting transformer, comprising:
establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer;
determining equivalent impedance and a phase-shifting angle according to the equivalent model;
constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle;
and inputting the preset input voltage, the preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer.
Preferably, the establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer includes:
and determining a circuit equation and a magnetic circuit equation according to the circuit structure parameters of the phase-shifting transformer, and obtaining an equivalent model of the phase-shifting transformer after calculation and transformation.
Preferably, determining the equivalent impedance and the phase shift angle according to the equivalent model comprises:
according to the preset three-phase symmetric operation of the phase-shifting transformer, determining the input-output relation of the equivalent model as follows:
IL＝ejαIS；
wherein,
alpha denotes the phase-shift angle, USRepresenting the input voltage, U, of a phase-shifting transformerLRepresenting the output voltage of the phase-shifting transformer, ISRepresenting the input current of a phase-shifting transformer, ILRepresenting the output current, Z, of a phase-shifting transformerS11、ZS12Showing leakage reactance of primary winding of series transformer, Z, during normal operation of phase-shifting transformerS11＝ZS12，ZS2Representing the leakage reactance, Z, of the secondary winding of the series transformerE1Representing the leakage reactance, Z, of the primary winding of the shunt transformerE2Representing the leakage reactance, N, of the secondary winding of a parallel transformerSRepresents the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, NEThe ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer is represented, P represents the ratio of the number of turns of the secondary side winding of the parallel transformer connected to the total number of turns, and the actual transformation ratio strain gauge of the parallel transformerShow NE:P。
Preferably, the determining the equivalent impedance and the phase shift angle according to the equivalent model further includes:
the equivalent impedance ZeqAnd said phase shift angle α is calculated as follows:
preferably, the constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle includes:
the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer.
The invention also provides a device for calculating the output voltage and current of the phase-shifting transformer, which comprises:
the first construction module is used for establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer;
the second construction module is used for determining equivalent impedance and a phase-shifting angle according to the equivalent model;
the third construction module is used for constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle;
and the generating module is used for inputting a preset input voltage, a preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer.
Preferably, the first building block is further configured to:
and determining a circuit equation and a magnetic circuit equation according to the circuit structure parameters of the phase-shifting transformer, and obtaining an equivalent model of the phase-shifting transformer after calculation and transformation.
Preferably, the second building module is further configured to:
according to the preset three-phase symmetric operation of the phase-shifting transformer, determining the input-output relation of the equivalent model as follows:
IL＝ejαIS；
wherein,
alpha denotes the phase-shift angle, USRepresenting the input voltage, U, of a phase-shifting transformerLRepresenting the output voltage of the phase-shifting transformer, ISRepresenting the input current of a phase-shifting transformer, ILRepresenting the output current, Z, of a phase-shifting transformerS11、ZS12Showing leakage reactance of primary winding of series transformer, Z, during normal operation of phase-shifting transformerS11＝ZS12，ZS2Representing the leakage reactance, Z, of the secondary winding of the series transformerE1Representing the leakage reactance, Z, of the primary winding of the shunt transformerE2Representing the leakage reactance, N, of the secondary winding of a parallel transformerSRepresents the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, NEThe ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer is represented, P represents the ratio of the number of turns of the secondary side winding of the parallel transformer connected to the total number of turns, and the actual transformation ratio of the parallel transformer represents NE:P。
Preferably, the second building module is further configured to:
the equivalent impedance ZeqAnd said phase shift angle α is calculated as follows:
preferably, the third building block is further configured to:
the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer.
The invention provides a method and a device for calculating output voltage and current of a phase-shifting transformer, aiming at performing input-output model equivalence on the phase-shifting transformer and calculating the output voltage and the output current of the phase-shifting transformer according to the input voltage and the input current of the phase-shifting transformer, thereby providing a basis for load flow calculation and short-circuit current calculation of a circuit with the phase-shifting transformer.
Drawings
In order to more clearly illustrate the technical solution of the present invention, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to the drawings without creative efforts.
FIG. 1 is a schematic flow chart of a method for calculating output voltage and current of a phase-shifting transformer according to an embodiment of the present invention;
FIG. 2 is a circuit diagram of a phase-shifting transformer according to another embodiment of the present invention;
FIG. 3 is an equivalent model diagram of a phase-shifting transformer according to another embodiment of the present invention;
FIG. 4 is a diagram of an input/output equivalent model of a phase-shifting transformer according to an embodiment of the present invention;
fig. 5 is a schematic structural diagram of a device for calculating output voltage and current of a phase-shifting transformer according to an embodiment of the present invention.
Detailed Description
The technical solutions in the present invention will be described clearly and completely with reference to the accompanying drawings, and it is obvious that the described embodiments are only some embodiments of the present invention, not all embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be understood that the step numbers used herein are for convenience of description only and are not used as limitations on the order in which the steps are performed.
It is to be understood that the terminology used in the description of the invention herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used in the specification of the present invention and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise.
The terms "comprises" and "comprising" indicate the presence of the described features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof.
The term "and/or" refers to and includes any and all possible combinations of one or more of the associated listed items.
Referring to fig. 1, the present invention provides a method for calculating output voltage and current of a phase-shifting transformer, including:
s101, establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer.
Referring to fig. 2 and 3, according to the preset structural parameters of the phase-shifting transformer, the primary side equation is written according to the input voltage, the input current, the output voltage and the output current at three sides A, B, C as follows:
wherein, USA、USB、USCRepresenting the input voltage, U, of a phase-shifting transformerLA、ULB、ULCRepresenting the output voltage of the phase-shifting transformer, ISA、ISB、ISCRepresenting the input current of a phase-shifting transformer, ILA、ILB、ILCRepresenting the output current, U, of a phase-shifting transformermA、UmB、UmCRepresents the midpoint voltage, U, of the primary winding of the series transformer1A、U2A、U1B、U2B、U1C、U2CRepresenting the voltage of the primary winding of a series transformer, UEA、UEB、UECRepresenting the voltage of the primary winding of the shunt transformer, IEA、IEB、IECRepresenting the current of the primary winding of the shunt transformer, ZS11、ZS12Denotes the leakage reactance, Z, of the primary winding of the series transformerE1Representing the leakage reactance of the primary winding of the parallel transformer.
The equation for the secondary side is written as follows:
wherein, UΔA、UΔB、UΔCRepresenting the voltage of the secondary winding of the series transformer, IΔA、IΔB、IΔCRepresenting the current, U 'of the secondary winding of the series transformer'EA、U′EB、U′ECRepresenting the voltage, I 'of the secondary winding of the parallel transformer'EA、I′EB、I′ECRepresenting the current, U, of the secondary winding of a parallel transformerEOA、UEOB、UEOCRepresenting the outlet voltage, Z, of the secondary side of the shunt transformerS12Representing the leakage reactance, Z, of the secondary winding of the series transformerE2Denotes the leakage reactance of the secondary winding of the parallel transformer, P denotesThe ratio of the number of turns of the secondary side winding of the parallel transformer to the total number of turns is accessed.
And S102, determining equivalent impedance and a phase-shifting angle according to the equivalent model.
And determining a circuit equation and a magnetic circuit equation of the phase-shifting transformer according to the equivalent model, calculating the circuit equation and the magnetic circuit equation, and obtaining the equivalent impedance and the phase-shifting angle. When the phase-shifting transformer works normally, the following relations exist:
ZS1＝ZS2；
wherein, U1A、U2A、U1B、U2B、U1C、U2CRepresenting the voltage of the primary winding of a series transformer, ZS11、ZS12Is the leakage reactance of the primary side winding of the series transformer and is divided equally by the midpoint of the primary side of the series transformer.
The magnetic circuit equation for a series transformer is written as follows:
wherein N isSIs the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, i.e.
The magnetic circuit equation for the column-written parallel transformer is as follows:
wherein N isEFor the ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer, when the phase-shifting transformer operates in three-phase symmetry, A, B, C three-phase voltage and current magnitude have a symmetry relation, and the following equation can be obtained:
UEOA＝UEOBej120°＝UEOCe-j120°。
according to the three-phase symmetric running of the preset phase-shifting transformer, the input-output relation of an equivalent model is determined as follows:
IL＝ejαIS；
wherein,
alpha denotes the phase-shift angle, USRepresenting the input voltage, U, of a phase-shifting transformerLRepresenting the output voltage of the phase-shifting transformer, ISRepresenting the input current of a phase-shifting transformer, ILRepresenting the output current, Z, of a phase-shifting transformerS11、ZS12Showing leakage reactance of primary winding of series transformer, Z, during normal operation of phase-shifting transformerS11＝ZS12，ZS2Representing the leakage reactance, Z, of the secondary winding of the series transformerE1Representing the leakage reactance, Z, of the primary winding of the shunt transformerE2Representing the leakage reactance, N, of the secondary winding of a parallel transformerSRepresents the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, NEThe ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer is represented, and P represents the number of turns of the secondary side winding of the parallel transformer connected to the number of turns of the secondary side winding and the total number of turns of the secondary side windingRatio of total number of turns. Actual transformation ratio strain of parallel transformer represents NE:P。
Equivalent impedance ZeqAnd the dephasing angle α is calculated as follows:
s103, constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle.
Referring to fig. 4, the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer.
S104, inputting a preset input voltage, a preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer, and obtaining the output voltage and the output current of the phase-shifting transformer.
Referring to fig. 4, the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer. And inputting the preset input voltage, the preset input current, the equivalent impedance and the phase-shifting angle into an external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer.
The invention provides a method for calculating output voltage and current of a phase-shifting transformer aiming at the structural characteristics and the working mode of the phase-shifting transformer, which calculates the output voltage and the output current by constructing an external equivalent model and aims to perform input-output model equivalence on the phase-shifting transformer and calculate the output voltage and the output current of the phase-shifting transformer according to the input voltage and the input current of the phase-shifting transformer, thereby providing a basis for load flow calculation and short-circuit current calculation of a circuit with the phase-shifting transformer.
Referring to fig. 5, the present invention provides a device for calculating output voltage and current of a phase-shifting transformer, including:
the first building module 11 is configured to build an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer.
And the second construction module 12 is used for determining the equivalent impedance and the phase-shifting angle according to the equivalent model.
And a third constructing module 13, configured to construct an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle.
And the generating module 14 is configured to input a preset input voltage, a preset input current, the equivalent impedance, and the phase shift angle into the external equivalent model of the phase shift transformer, so as to obtain an output voltage and an output current of the phase shift transformer.
The specific definition of the calculating means for the output voltage and current of the phase shifting transformer can be referred to the definition above, and will not be described herein. All or part of each module in the calculating device for outputting the voltage and the current of the phase-shifting transformer can be realized by software, hardware and a combination thereof. The modules can be embedded in a hardware form or independent from a processor in the computer device, and can also be stored in a memory in the computer device in a software form, so that the processor can call and execute operations corresponding to the modules.
While the foregoing is directed to the preferred embodiment of the present invention, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the invention.
Claims (10)
1. A method for calculating output voltage and current of a phase-shifting transformer is characterized by comprising the following steps:
establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer;
determining equivalent impedance and a phase-shifting angle according to the equivalent model;
constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle;
and inputting the preset input voltage, the preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer.
2. The method for calculating the output voltage and current of the phase-shifting transformer according to claim 1, wherein the establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer comprises:
and determining a circuit equation and a magnetic circuit equation according to the circuit structure parameters of the phase-shifting transformer, and obtaining an equivalent model of the phase-shifting transformer after calculation and transformation.
3. The method of claim 2, wherein determining the equivalent impedance and the phase-shifting angle according to the equivalent model comprises:
according to the preset three-phase symmetric operation of the phase-shifting transformer, determining the input-output relation of the equivalent model as follows:
IL＝ejαIS；
wherein,
alpha denotes the phase-shift angle, USRepresenting the input voltage, U, of a phase-shifting transformerLRepresenting the output voltage of the phase-shifting transformer, ISRepresenting the input current of a phase-shifting transformer, ILRepresenting the output current, Z, of a phase-shifting transformerS11、ZS12Showing leakage reactance of primary winding of series transformer, Z, during normal operation of phase-shifting transformerS11＝ZS12，ZS2Representing the leakage reactance, Z, of the secondary winding of the series transformerE1Representing the leakage reactance, Z, of the primary winding of the shunt transformerE2Representing the leakage reactance, N, of the secondary winding of a parallel transformerSRepresents the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, NEThe ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer is represented, P represents the ratio of the number of turns of the secondary side winding of the parallel transformer connected to the total number of turns, and the actual transformation ratio of the parallel transformer represents NE:P。
4. The method of claim 3, wherein determining the equivalent impedance and the phase-shifting angle according to the equivalent model further comprises:
the equivalent impedance ZeqAnd said phase shift angle α is calculated as follows:
5. the method for calculating the output voltage and current of the phase-shifting transformer according to claim 4, wherein the constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle comprises:
the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer.
6. A device for calculating output voltage and current of a phase-shifting transformer, comprising:
the first construction module is used for establishing an equivalent model of the phase-shifting transformer according to the circuit structure parameters of the phase-shifting transformer;
the second construction module is used for determining equivalent impedance and a phase-shifting angle according to the equivalent model;
the third construction module is used for constructing an external equivalent model of the phase-shifting transformer according to the equivalent impedance and the phase-shifting angle;
and the generating module is used for inputting a preset input voltage, a preset input current, the equivalent impedance and the phase-shifting angle into the external equivalent model of the phase-shifting transformer to obtain the output voltage and the output current of the phase-shifting transformer.
7. The apparatus for calculating output voltage and current of a phase shifting transformer according to claim 6, wherein said first constructing module is further configured to:
and determining a circuit equation and a magnetic circuit equation according to the circuit structure parameters of the phase-shifting transformer, and obtaining an equivalent model of the phase-shifting transformer after calculation and transformation.
8. The apparatus for calculating output voltage and current of a phase shifting transformer according to claim 7, wherein said second building block is further configured to:
according to the preset three-phase symmetric operation of the phase-shifting transformer, determining the input-output relation of the equivalent model as follows:
IL＝ejαIS；
wherein,
alpha denotes the phase-shift angle, USRepresenting the input voltage, U, of a phase-shifting transformerLRepresenting the output voltage of the phase-shifting transformer, ISRepresenting the input current of a phase-shifting transformer, ILRepresenting the output current, Z, of a phase-shifting transformerS11、ZS12Showing leakage reactance of primary winding of series transformer, Z, during normal operation of phase-shifting transformerS11＝ZS12，ZS2Representing the leakage reactance, Z, of the secondary winding of the series transformerE1Representing the leakage reactance, Z, of the primary winding of the shunt transformerE2Representing the leakage reactance, N, of the secondary winding of a parallel transformerSRepresents the ratio of the total number of turns of the primary side winding to the number of turns of the secondary side winding of the series transformer, NEThe ratio of the number of turns of the primary side winding to the total number of turns of the secondary side winding of the parallel transformer is represented, P represents the ratio of the number of turns of the secondary side winding of the parallel transformer connected to the total number of turns, and the actual transformation ratio of the parallel transformer represents NE:P。
9. The apparatus for calculating output voltage and current of a phase shifting transformer according to claim 8, wherein said second building block is further configured to:
the equivalent impedance ZeqAnd said phase shift angle α is calculated as follows:
10. the apparatus for calculating output voltage and current of a phase shifting transformer according to claim 9, wherein said third building block is further configured to:
the external equivalent model is as follows:
wherein,
represents the input voltage vector of the phase-shifting transformer,
represents the input current vector of the phase-shifting transformer,
represents the vector of the output voltage of the phase-shifting transformer,
representing the output current vector of the phase shifting transformer.
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| CN113884748A (en) * | 2021-09-24 | 2022-01-04 | 广东电网有限责任公司 | Alternating current transmission line overvoltage measuring method and device based on controllable phase shifter |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113884748A (en) * | 2021-09-24 | 2022-01-04 | 广东电网有限责任公司 | Alternating current transmission line overvoltage measuring method and device based on controllable phase shifter |
| CN113884748B (en) * | 2021-09-24 | 2023-07-25 | 广东电网有限责任公司 | Alternating current transmission line overvoltage measuring method and device based on controllable phase shifter |
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| CN113378500B (en) | 2022-04-26 |
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