CN114996972A - Modeling method of three-phase eight-column type magnetically controlled shunt reactor - Google Patents
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Abstract
The invention provides a modeling method of a three-phase eight-column type magnetically controlled shunt reactor, which comprises the following steps: acquiring an equivalent magnetic circuit model of the three-phase eight-column MCSR based on the iron core structure of the three-phase eight-column MCSR; acquiring KCL and KVL of the three-phase eight-column MCSR based on the equivalent magnetic circuit model; acquiring an equivalent circuit of the three-phase eight-column MCSR based on the KCL and the KVL; and constructing an electromagnetic transient simulation model of the three-phase eight-column MCSR based on the equivalent circuit. The method can be directly applied to the existing PSCAD (power system computer aided design) and improves the simulation precision of the three-phase eight-column MCSR simulation analysis.
Description
Technical Field
The invention belongs to the technical field of digital simulation modeling, and particularly relates to a modeling method of a three-phase eight-column type magnetically controlled shunt reactor.
Background
As a novel flexible alternating current transmission system device, a Magnetic Control Shunt Reactor (MCSR) can continuously and quickly adjust reactive power in the system, further effectively inhibit the phenomena of capacity rise effect, operation overvoltage, secondary arc current and the like of an ultra/ultra-high voltage transmission line, reduce line loss and improve the stability and safety of the system.
The three-phase MCSR can be divided into a three-phase integrated structure and three single-phase reactor group structures according to different body structures. The three-phase integrated MCSR is shown in figure 2, and three-phase core columns are connected through an iron core upper yoke, an iron core lower yoke and a side column to form a three-phase eight-column structure. The winding aspect three-phase eight-pole MCSR has a net side winding, a control winding and a compensation winding. The control winding adopts a winding mode that the two leads are wound on the two core columns respectively firstly and then are connected in series reversely. The three-phase eight-column MCSR primary wiring diagram is shown in figure 3, three-phase network side windings are connected in a star shape, and a neutral point is grounded; the three-phase control winding is connected in parallel to the output end of the control system; the three-phase compensation winding is in angle connection, on one hand, a path is provided for third harmonic current, and on the other hand, the three-phase compensation winding is connected with the input end of a control system and provides power for the control system. Besides, the compensation winding is also externally connected with a filtering branch circuit for filtering 5 th and 7 th harmonics.
The prior art provides a single-phase four-column MCSR simulation modeling method based on magnetic circuit decomposition, and the method indicates that: the single-phase four-column MCSR can be simulated by utilizing the connection combination of the conventional saturation transformer and the conventional saturable reactor model in the existing simulation software. The method is clear in principle and easy to implement, but the method is only directed to single-phase four-column MCSR. Since the coupling relationship between the three-phase magnetic circuits is not considered, the method cannot be applied to the three-phase eight-column type MCSR.
In the prior art, a simulation modeling method based on 6 transformer combinations is provided for a three-phase eight-column type MCSR, and the method indicates that: firstly, two single-phase three-winding transformers are connected in series to simulate a single-phase four-column type MCSR, and then the 3 single-phase four-column type MCSRs are connected with each winding according to a MCSR primary wiring diagram shown in figure 3 to obtain a three-phase eight-column type MCSR simulation model. However, the method does not consider the influence of the upper and lower yokes and the side columns of the three-phase eight-column type MCSR core on the flux flow in the core and the magnetic coupling relationship existing between the three-phase windings during modeling, so that the simulation accuracy of the method is not high.
Disclosure of Invention
In order to solve the technical problems, the invention provides a modeling method of a three-phase eight-column type magnetically controlled shunt reactor, which can be directly applied to the existing PSCAD (plant computer aided design) and improves the simulation precision of three-phase eight-column type MCSR (magnetically controlled series reactor) simulation analysis.
In order to achieve the purpose, the invention provides a modeling method of a three-phase eight-column type magnetically controlled shunt reactor, which comprises the following steps:
acquiring an equivalent magnetic circuit model of the three-phase eight-column type MCSR based on an iron core structure of the three-phase eight-column type MCSR;
acquiring KCL and KVL of the three-phase eight-column MCSR based on the equivalent magnetic circuit model;
acquiring an equivalent circuit of the three-phase eight-column MCSR based on the KCL and the KVL;
and constructing an electromagnetic transient simulation model of the three-phase eight-column MCSR based on the equivalent circuit.
Optionally, the equivalent magnetic circuit model includes: a first magnetic circuit, a second magnetic circuit, a third magnetic circuit, a fourth magnetic circuit, a fifth magnetic circuit, a sixth magnetic circuit, a seventh magnetic circuit, an eighth magnetic circuit, a ninth magnetic circuit, a tenth magnetic circuit, an eleventh magnetic circuit, a twelfth magnetic circuit, and a thirteenth magnetic circuit;
the first magnetic circuit is an A-phase left core column magnetic circuit; the second magnetic circuit is an A-phase right core column magnetic circuit; the third magnetic circuit is a B-phase left core column magnetic circuit; the fourth magnetic circuit is a B-phase right core column magnetic circuit; the fifth magnetic circuit is a C-phase left core column magnetic circuit; the sixth magnetic circuit is a C-phase right core column magnetic circuit; the seventh magnetic circuit is a left side column and a left upper yoke magnetic circuit and a left lower yoke magnetic circuit thereof; the eighth magnetic circuit is a right side column and a right upper and lower yoke magnetic circuit thereof; the ninth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase left core column and the A-phase right core column; the tenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the left core column and the right core column of the phase B; the twelfth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the B-phase iron core and the C-phase iron core; and the thirteenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the C-phase left core column and the C-phase right core column.
Optionally, the expression of KCL is:
wherein phi is k For each magnetic flux path, k is 1,2 … 13;
the expression of the KVL is as follows:
wherein, F xyz For the magnetomotive force generated by each phase winding, x is 1,2, 3, 1 is a net side winding, 2 is a control winding, 3 is a compensation winding, y is P, q is a winding on the left core column, q is a winding on the right core column, z is a, B, C, a is an A phase winding, B is a B phase winding, C is a C phase winding, and P is a winding on the right core column L Is a magnetic circuit reluctance of the side pole and the upper yoke and the lower yoke connected with the side pole, P m Is core magnetic circuit reluctance, P y The magnetic resistance of the magnetic circuit of the upper yoke and the lower yoke of the iron core is disclosed.
Optionally, obtaining an equivalent circuit of the three-phase eight-column MCSR includes: and carrying out dual transformation on the KCL and the KVL, and acquiring the equivalent circuit based on the KCL and the KVL after the dual transformation.
Optionally, the expression of the KCL of the equivalent circuit is:
wherein i sxyz For the current source current obtained by the dual conversion, x is 1,2, 3, 1 is a grid side winding, 2 is a control winding, 3 is a compensation winding, y is p, q, p is a winding on the left core column, q is a winding on the right core column, z is a, B, C, a is an a phase winding, B is a B phase winding, C is a C phase winding, i is a control winding, and q is a compensation winding k The ' is each branch current of the equivalent circuit after the dual transformation, k ' is 1',2' …,13 ';
the expression of the KVL of the equivalent circuit is:
wherein e is k' For branch voltage, k 'is 1',2'… 13'.
Optionally, the equivalent circuit comprises: the current source comprises a first branch, a second branch, a third branch, a fourth branch, a fifth branch, a sixth branch, a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch, a thirteenth branch and a current source;
the connection mode of the equivalent circuit is as follows:
the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are sequentially connected in series, the seventh branch is connected in series with the first branch, the eighth branch is connected in series with the sixth branch, one end of the ninth branch is connected between the first branch and the second branch, the three branches form Y-type connection, one end of the tenth branch is connected between the second branch and the third branch, the three branches form Y-type connection, one end of the eleventh branch is connected between the third branch and the fourth branch to form Y-type connection, one end of the twelfth branch is connected between the fourth branch and the fifth branch to form Y-type connection, one end of the thirteenth branch is connected between the fifth branch and the sixth branch to form Y-type connection, and the other terminals of the seventh branch, the eighth branch, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are connected together to form a loop at one point, the current source is respectively connected with the leakage inductance of the corresponding winding in series and respectively connected with the first branch circuit, the second branch circuit, the third branch circuit, the fourth branch circuit, the fifth branch circuit and the sixth branch circuit in parallel.
Optionally, the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are six parallel combinations of a nonlinear inductor and a resistor, and correspond to the first magnetic circuit, the second magnetic circuit, the third magnetic circuit, the fourth magnetic circuit, the fifth magnetic circuit and the sixth magnetic circuit, respectively;
the seventh branch and the eighth branch are composed of two linear inductors L L And a resistor R L The parallel combination is respectively corresponding to the seventh magnetic circuit and the eighth magnetic circuit;
the ninth branch circuit, the tenth branch circuit, the eleventh branch circuit, the twelfth branch circuit and the thirteenth branch circuit are formed by five linear inductors L y And a resistor R y The parallel combination of the structure corresponds to the ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit.
Optionally, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR includes:
respectively simulating the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch based on a first transformer, a second transformer, a third transformer, a fourth transformer, a fifth transformer and a sixth transformer;
respectively simulating a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch and a thirteenth branch based on a seventh transformer, an eighth transformer, a ninth transformer, a tenth transformer, an eleventh transformer, a twelfth transformer and a thirteenth transformer;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are all double-winding UMEC transformers with open-circuit secondary windings and taking the saturation characteristic of an iron core into consideration;
the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are double-winding UMEC transformers with secondary side windings open and without considering the saturation characteristic of an iron core;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are connected according to the connection mode of the equivalent circuit;
and two sides of the primary side windings of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are respectively connected with a double-winding ideal transformer and a three-winding ideal transformer in parallel for simulating the current source.
Optionally, one side of a double-winding ideal transformer with parallel connection of a first transformer and a second transformer, which is not connected to the circuit, is connected in series to form an a-phase network side winding, one side of a double-winding ideal transformer with parallel connection of a third transformer and a fourth transformer, which is not connected to the circuit, is connected in series to form a B-phase network side winding, and one side of a double-winding ideal transformer with parallel connection of a fifth transformer and a sixth transformer, which is not connected to the circuit, is connected in series to form a C-phase network side winding;
reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the first transformer and the second transformer and are not connected into the circuit in series to form an A-phase control winding, reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the third transformer and the fourth transformer and are not connected into the circuit in series to form a B-phase control winding, reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the fifth transformer and the sixth transformer and are not connected into the circuit in series to form a C-phase control winding, and then connecting the A, B, C three-phase control winding into the control system of the three-phase eight-column MCSR in parallel;
connecting third windings of three-winding ideal transformers which are connected in parallel with a first transformer and a second transformer and are not connected into a circuit in series to form an A-phase compensation winding, connecting third windings of three-winding ideal transformers which are connected in parallel with a third transformer and are not connected into a circuit in series to form a B-phase compensation winding, connecting third windings of three-winding ideal transformers which are connected in parallel with a fifth transformer and a sixth transformer and are not connected into a circuit in series to form a C-phase compensation winding, and connecting A, B, C three-phase compensation windings in a triangular mode;
the resistance and leakage reactance of each winding of each phase are respectively connected in series on each winding terminal wire.
Optionally, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR further includes: and setting parameters of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer.
Compared with the prior art, the invention has the following advantages and technical effects:
(1) the modeling method provided by the invention is based on the duality principle, and based on the magnetic circuit structure of the three-phase eight-column MCSR, the equivalent circuit capable of correctly simulating the three-phase eight-column MCSR is deduced, so that the defect that the magnetic coupling relation between the MCSR iron core structure and the three-phase winding is neglected in the original modeling method is overcome, and the simulation precision of the simulation model is improved. (2) The elements used by the simulation model are all elements in a self-contained element library in simulation software, equivalence is carried out through connection among conventional elements, the model is simple and convenient to build, element parameters are easy to obtain, and a simulation foundation is provided for analyzing interaction between the three-phase eight-column MCSR and a power grid.
Drawings
The accompanying drawings, which are incorporated in and constitute a part of this application, are included to provide a further understanding of the application, and the description of the exemplary embodiments of the application are intended to be illustrative of the application and are not intended to limit the application. In the drawings:
fig. 1 is a schematic flow chart of a modeling method of a three-phase eight-column type magnetically controlled shunt reactor according to an embodiment of the invention;
fig. 2 is a schematic structural diagram of a three-phase eight-column MCSR body according to an embodiment of the present invention;
FIG. 3 is a diagram of a single wiring of the three-phase eight-column MCSR of the present invention;
FIG. 4 is a schematic diagram of an equivalent magnetic circuit model of a three-phase eight-column MCSR in accordance with an embodiment of the present invention;
FIG. 5 is a schematic diagram of an equivalent circuit model of a dual-transformed three-phase eight-column type MCSR according to the embodiment of the invention;
fig. 6 is a schematic diagram of a three-phase eight-column MCSR simulation model in the PSCAD according to the embodiment of the present invention.
Detailed Description
It should be noted that the embodiments and features of the embodiments in the present application may be combined with each other without conflict. The present application will be described in detail below with reference to the embodiments with reference to the attached drawings.
It should be noted that the steps illustrated in the flowcharts of the figures may be performed in a computer system such as a set of computer-executable instructions and that, although a logical order is illustrated in the flowcharts, in some cases, the steps illustrated or described may be performed in an order different than presented herein.
Examples
As shown in fig. 1, this embodiment provides a modeling method for a three-phase eight-column magnetically controlled shunt reactor, including:
acquiring an equivalent magnetic circuit model of the three-phase eight-column type MCSR based on an iron core structure of the three-phase eight-column type MCSR;
acquiring KCL and KVL of the three-phase eight-column MCSR based on the equivalent magnetic circuit model;
acquiring an equivalent circuit of the three-phase eight-column MCSR based on the KCL and the KVL;
and constructing an electromagnetic transient simulation model of the three-phase eight-column MCSR based on the equivalent circuit.
Further, the equivalent magnetic circuit model includes: a first magnetic circuit, a second magnetic circuit, a third magnetic circuit, a fourth magnetic circuit, a fifth magnetic circuit, a sixth magnetic circuit, a seventh magnetic circuit, an eighth magnetic circuit, a ninth magnetic circuit, a tenth magnetic circuit, an eleventh magnetic circuit, a twelfth magnetic circuit, and a thirteenth magnetic circuit;
the first magnetic circuit is an A-phase left core column magnetic circuit; the second magnetic circuit is an A-phase right core column magnetic circuit; the third magnetic circuit is a B-phase left core column magnetic circuit; the fourth magnetic circuit is a B-phase right core column magnetic circuit; the fifth magnetic circuit is a C-phase left core column magnetic circuit; the sixth magnetic circuit is a C-phase right core column magnetic circuit; the seventh magnetic circuit is a left side column and a left upper yoke magnetic circuit and a left lower yoke magnetic circuit thereof; the eighth magnetic circuit is a right side column and a right upper yoke magnetic circuit and a right lower yoke magnetic circuit thereof; the ninth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase left core column and the A-phase right core column; the tenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the left core column and the right core column of the phase B; the twelfth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the B-phase iron core and the C-phase iron core; and the thirteenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the C-phase left core column and the C-phase right core column.
Further, obtaining KCL and KVL of the three-phase eight-column MCSR further includes: and carrying out dual transformation on the KCL and the KVL to obtain the KCL and the KVL of the equivalent circuit which is dual with a magnetic circuit.
Further, the equivalent circuit includes: the current source comprises a first branch, a second branch, a third branch, a fourth branch, a fifth branch, a sixth branch, a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch, a thirteenth branch and a current source;
the connection mode of the equivalent circuit is as follows:
the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are sequentially connected in series, the seventh branch is connected in series with the first branch, the eighth branch is connected in series with the sixth branch, one end of the ninth branch is connected between the first branch and the second branch, the three branches form Y-type connection, one end of the tenth branch is connected between the second branch and the third branch, the three branches form Y-type connection, one end of the eleventh branch is connected between the third branch and the fourth branch to form Y-type connection, one end of the twelfth branch is connected between the fourth branch and the fifth branch to form Y-type connection, one end of the thirteenth branch is connected between the fifth branch and the sixth branch to form Y-type connection, and the other terminals of the seventh branch, the eighth branch, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are connected together to form a loop at one point, the current source is respectively connected with the leakage inductance of the corresponding winding in series and respectively connected with the first branch circuit, the second branch circuit, the third branch circuit, the fourth branch circuit, the fifth branch circuit and the sixth branch circuit in parallel.
Furthermore, the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are six parallel combinations formed by nonlinear inductors and resistors and respectively correspond to the first magnetic circuit, the second magnetic circuit, the third magnetic circuit, the fourth magnetic circuit, the fifth magnetic circuit and the sixth magnetic circuit;
the seventh branch and the eighth branch are two linear inductors L L And a resistor R L The parallel combination is respectively corresponding to the seventh magnetic circuit and the eighth magnetic circuit;
the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are formed by five linear inductors L y And a resistor R y The parallel combination of the structure corresponds to the ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit.
Further, constructing the electromagnetic transient simulation model of the three-phase eight-column type MCSR comprises:
respectively simulating the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch based on a first transformer, a second transformer, a third transformer, a fourth transformer, a fifth transformer and a sixth transformer;
respectively simulating a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch and a thirteenth branch based on a seventh transformer, an eighth transformer, a ninth transformer, a tenth transformer, an eleventh transformer, a twelfth transformer and a thirteenth transformer;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are all double-winding UMEC transformers with open-circuit secondary windings and considering the saturation characteristic of an iron core;
the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are double-winding UMEC transformers with secondary side windings open and without considering the saturation characteristic of an iron core;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are connected according to the connection mode of the equivalent circuit;
and two sides of the primary side windings of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are respectively connected with a double-winding ideal transformer and a three-winding ideal transformer in parallel, and the double-winding ideal transformer and the three-winding ideal transformer are used for simulating the current source.
Further, one side, which is not connected with a circuit, of a double-winding ideal transformer in parallel connection with the first transformer and the second transformer is connected in series to form an A-phase network side winding, one side, which is not connected with a circuit, of a double-winding ideal transformer in parallel connection with the third transformer and the fourth transformer is connected in series to form a B-phase network side winding, and one side, which is not connected with a circuit, of a double-winding ideal transformer in parallel connection with the fifth transformer and the sixth transformer is connected in series to form a C-phase network side winding;
connecting the second windings of the three-winding ideal transformers which are connected in parallel with the first transformer and the second transformer and are not connected into the circuit in an inverted series mode to form an A-phase control winding, connecting the second windings of the three-winding ideal transformers which are connected in parallel with the third transformer and the fourth transformer and are not connected into the circuit in an inverted series mode to form a B-phase control winding, connecting the second windings of the three-winding ideal transformers which are connected in parallel with the fifth transformer and the sixth transformer and are not connected into the circuit in an inverted series mode to form a C-phase control winding, and connecting the A, B, C three-phase control winding into a three-phase octal-type MCSR control system in parallel;
connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a first transformer and a second transformer in series to form an A-phase compensation winding, connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a third transformer and a fourth transformer in series to form a B-phase compensation winding, connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a fifth transformer and a sixth transformer in series to form a C-phase compensation winding, and connecting A, B, C three-phase compensation windings in a triangular mode;
the resistance and leakage reactance of each winding of each phase are respectively connected in series on each winding terminal wire.
Further, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR further comprises: and setting parameters of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer.
The modeling method of the three-phase eight-column magnetically controlled shunt reactor provided by the embodiment comprises the following specific steps:
step 1: firstly, drawing an equivalent magnetic circuit model of the three-phase eight-column type MCSR in FIG. 4 according to the iron core structure of the three-phase eight-column type MCSR in FIG. 2 and defining various physical quantities and positive directions. In order to facilitate the modeling method and the model, under the condition of ensuring that the magnetic field in the iron core is not changed, the net side winding and the compensation winding are supposed to be formed by connecting two leads wound on two core columns in series respectively. Recording the magnetic circuit of the A-phase left core column (p) and the magnetic circuit of the right core column (q) of the three-phase eight-column MCSR as 1 and 2; the magnetic circuit of the B phase left (p) core column is 3, and the magnetic circuit of the right core column (q) is 4; the magnetic circuit of the C-phase left core column (p) is 5, and the magnetic circuit of the right core column (q) is 6; the left side column and the left upper and lower yoke magnetic circuits are 7; the magnetic circuit of the right side column and the right upper and lower yokes is 8; the upper and lower yoke magnetic circuits connecting the left and right core columns of phase A are 9; the upper and lower yoke magnetic circuits connecting the A-phase iron core and the B-phase iron core are 10; the upper and lower yoke magnetic circuits connected with the left and right core columns of the phase B are 11; the upper and lower yoke magnetic circuits connecting the B-phase iron core and the C-phase iron core are 12; the upper and lower yoke magnetic circuits connecting the left and right legs of phase C are 13.
The magnetomotive force generated by each winding of each phase is recorded as F xyz Magnetomotive force F xyz The current of the current source obtained by the dual conversion is i sxyz (wherein x-1 denotes a net-side winding, x-2 denotes a control winding, x-3 denotes a compensation winding, y-p denotes a winding on the left leg, y-q denotes a winding on the right leg, z-a denotes an a-phase winding, z-B denotes a B-phase winding, and z-C denotes a C-phase winding); magnetic resistance of core column magnetic circuit is P m The magnetic resistance of the upper yoke and the lower yoke of the iron core is P y The magnetic resistance of the magnetic circuit of the upper yoke and the lower yoke connected with the side column is P L (ii) a Leakage reluctance of each winding is P x (x ═ 1 denotes a grid-side winding, x ═ 2 denotes a control winding, and x ═ 3 denotes a compensation winding); magnetic flux of each magnetic circuit is phi k Each branch current of the equivalent circuit after the dual conversion is i k' Branch voltage of e k '(k'＝1',2'…13')；
Step 2: based on the physical quantities and the magnetic circuit structure of the three-phase eight-column type MCSR defined in step 1, the KCL and KVL equations listing the magnetic circuit of the three-phase eight-column type MCSR are:
and 3, step 3: and (3) carrying out dual transformation on the KCL and KVL equations of the three-phase eight-column type MCSR magnetic circuit in the step (2) according to a duality principle to obtain KCL and KVL equations of the three-phase eight-column type MCSR equivalent circuit which is dually with the magnetic circuit:
and 4, step 4: and obtaining the equivalent circuit of the three-phase eight-column type MCSR in the figure 5 according to the KCL and KVL equations of the three-phase eight-column type MCSR equivalent circuit in the step 3.
Wherein the number of the branches 1'-6' is respectively 6 and is composed of nonlinear inductors L m And a resistor R m The formed parallel combination corresponds to core column magnetic circuits 1-6 of the three-phase eight-column MCSR; the branches 7 'and 8' are respectively 2 linear inductors L L And a resistor R L The formed parallel combination is respectively corresponding to the left side column of the three-phase eight-column MCSR and the left side column thereofA left upper and lower yoke magnetic circuit 7, a right side column and a right upper and lower yoke magnetic circuit 8 thereof; the branches 9'-13' are respectively 5 linear inductors L y And a resistor R y The combined magnetic circuit comprises an upper yoke magnetic circuit 9, a lower yoke magnetic circuit 10, an upper yoke magnetic circuit 11, an upper yoke magnetic circuit 12 and a lower yoke magnetic circuit 13, wherein the upper yoke magnetic circuit 9, the upper yoke magnetic circuit 10, the lower yoke magnetic circuit 11, the upper yoke magnetic circuit 12 and the lower yoke magnetic circuit respectively correspond to the three-phase eight-column MCSR; current source i sxyz Magnetomotive force F corresponding to each phase winding of three-phase eight-column MCSR xyz (ii) a Linear inductance L X (wherein X-1 denotes a grid-side winding, X-2 denotes a control winding, and X-3 denotes a compensation winding) corresponds to a leakage magnetic path of each winding of the three-phase octal-type MCSR.
The branch circuits 1' -6' are sequentially connected in series according to the sequence of numbers, the branch circuit 7' is connected with the branch circuit 1', the branch circuit 8' is connected with the branch circuit 6', one end of the branch circuit 9' is connected with three branch circuits between the branch circuit 1' and the branch circuit 2' to form Y-type connection, one end of the branch circuit 10' is connected with three branch circuits between the branch circuit 2' and the branch circuit 3' to form Y-type connection, one end of the branch circuit 11' is connected with three branch circuits between the branch circuit 3' and the branch circuit 4' to form Y-type connection, one end of the branch circuit 12' is connected with three branch circuits between the branch circuit 4' and the branch circuit 5' to form Y-type connection, one end of the branch circuit 13' is connected with three branch circuits between the branch circuit 5' and the branch circuit 6' to form Y-type connection, and the other terminals of the branch circuits 7' -13' are connected together to form a loop circuit. Current source i sxyz Are connected in series with the leakage inductances of the respective windings and are connected in parallel with the branches 1'-6', respectively.
And 5: and (4) building an electromagnetic transient simulation model of the three-phase eight-column MCSR in the figure 6 by using elements in the software element library in the simulation software PSCAD according to the equivalent circuit of the three-phase eight-column MCSR described in the step 4.
Wherein, a branch 1'-6' in the three-phase eight-column type MCSR equivalent circuit in the step 4 is simulated by using a double-winding UMEC transformer T1-T6 with the secondary side winding open and the iron core saturation characteristic considered; and (3) simulating the branch 7'-13' in the three-phase eight-column type MCSR equivalent circuit in the step 4 by using a double-winding UMEC transformer T7-T13 with the secondary side winding open-circuit and the core saturation characteristic not considered. And then the primary side windings of the T1-T13 are connected according to the three-phase eight-column type MCSR equivalent circuit branch 1' -13 in the step 4' are connected. And a double-winding ideal transformer and a three-winding ideal transformer are respectively connected in parallel on two sides of the primary winding of T1-T6 and used for simulating a current source i sxyz 。
One side of a double-winding ideal transformer with T1 and T2 connected in parallel, which is not connected into a circuit, is connected in series to form an A-phase network side winding, one side of a double-winding ideal transformer with T3 and T4 connected in parallel, which is not connected into the circuit, is connected in series to form a B-phase network side winding, and one side of a double-winding ideal transformer with T5 and T6 connected in parallel, which is not connected into the circuit, is connected in series to form a C-phase network side winding; the method comprises the steps that a second winding of a three-winding ideal transformer which is connected with a T1 and a T2 in parallel and is not connected with a circuit is reversely connected in series to form an A-phase control winding, a second winding of a three-winding ideal transformer which is connected with a T3 and a T4 in parallel and is not connected with a circuit is reversely connected in series to form a B-phase control winding, a second winding of a three-winding ideal transformer which is connected with a T5 and a T6 in parallel and is not connected with a circuit is reversely connected in series to form a C-phase control winding, and then a A, B, C three-phase control winding is connected into a three-phase eight-column MCSR control system in parallel; the third windings of three-winding ideal transformers which are connected in parallel with T1 and T2 and are not connected into a circuit are connected in series to form an A-phase compensation winding, the third windings of three-winding ideal transformers which are connected in parallel with T3 and T4 and are not connected into the circuit are connected in series to form a B-phase compensation winding, the third windings of three-winding ideal transformers which are connected in parallel with T5 and T6 and are not connected into the circuit are connected in series to form a C-phase compensation winding, and then the A, B, C three-phase compensation windings are connected in a triangular mode. And finally, the resistance and the leakage reactance of each winding of each phase are respectively connected in series on the terminal wire of each winding.
Step 6: setting parameters for each element in the step 5, wherein the parameters of the UMEC transformer T1-T6 considering the saturation characteristic of the iron core are as follows: 1/6 with rated capacity of three-phase octagon-type MCSR rated capacity, 1/2 with primary side and secondary side rated voltages of three-phase octagon-type MCSR network side rated phase voltages, the rated frequency is consistent with the system frequency, leakage reactance, no-load loss and load loss are all set to be 0, and the iron core saturation characteristic is obtained through an no-load test I-U curve; the parameters of the UMEC transformer T7-T13 without considering the core saturation characteristics are set to be the same as those of the UMEC transformer T1-T6 except that the core saturation characteristics are not set; the parameters of the double-winding ideal transformer are set as follows: 1/6 with rated capacity of three-phase octal style MCSR rated capacity, 1/2 with primary side and secondary side rated voltages of three-phase octal style MCSR grid side rated phase voltages, the rated frequency is consistent with the system frequency, and leakage reactance, no-load loss and load loss are all set to be 0; the parameters of the three-winding ideal transformer are set as follows: 1/6 with rated capacity of three-phase octal column type MCSR rated capacity, 1/2 with rated voltage of a first winding as rated phase voltage of a three-phase octal column type MCSR network side, 1/2 with rated voltage of a second winding as rated phase voltage of a three-phase octal column type MCSR control side and rated voltage of a third winding as rated voltage of a three-phase octal column type MCSR compensation side, wherein rated frequency is consistent with system frequency, and leakage reactance, no-load loss and load loss are all set to be 0. The resistance value and the leakage reactance value of each winding are the actual resistance value and the leakage reactance value of each winding of the three-phase eight-column type MCSR.
The above description is only for the preferred embodiment of the present application, but the scope of the present application is not limited thereto, and any changes or substitutions that can be easily conceived by those skilled in the art within the technical scope of the present application should be covered within the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.
Claims (10)
1. A modeling method of a three-phase eight-column type magnetically controlled shunt reactor is characterized by comprising the following steps:
acquiring an equivalent magnetic circuit model of the three-phase eight-column type MCSR based on an iron core structure of the three-phase eight-column type MCSR;
acquiring KCL and KVL of the three-phase eight-column MCSR based on the equivalent magnetic circuit model;
acquiring an equivalent circuit of the three-phase eight-column MCSR based on the KCL and the KVL;
and constructing an electromagnetic transient simulation model of the three-phase eight-column MCSR based on the equivalent circuit.
2. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, wherein the equivalent magnetic circuit model comprises: a first magnetic circuit, a second magnetic circuit, a third magnetic circuit, a fourth magnetic circuit, a fifth magnetic circuit, a sixth magnetic circuit, a seventh magnetic circuit, an eighth magnetic circuit, a ninth magnetic circuit, a tenth magnetic circuit, an eleventh magnetic circuit, a twelfth magnetic circuit, and a thirteenth magnetic circuit;
the first magnetic circuit is an A-phase left core column magnetic circuit; the second magnetic circuit is an A-phase right core column magnetic circuit; the third magnetic circuit is a B-phase left core column magnetic circuit; the fourth magnetic circuit is a B-phase right core column magnetic circuit; the fifth magnetic circuit is a C-phase left core column magnetic circuit; the sixth magnetic circuit is a C-phase right core column magnetic circuit; the seventh magnetic circuit is a left side column and a left upper yoke magnetic circuit and a left lower yoke magnetic circuit thereof; the eighth magnetic circuit is a right side column and a right upper and lower yoke magnetic circuit thereof; the ninth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase left core column and the A-phase right core column; the tenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the left core column and the right core column of the phase B; the twelfth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the B-phase iron core and the C-phase iron core; and the thirteenth magnetic circuit is an upper yoke magnetic circuit and a lower yoke magnetic circuit which are connected with the C-phase left core column and the C-phase right core column.
3. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, wherein the expression of the KCL is as follows:
wherein phi k For each magnetic flux path, k is 1,2 … 13;
the expression of KVL is as follows:
wherein, F xyz For the magnetomotive force generated by each phase winding, x is 1,2, 3, 1 is a net side winding, 2 is a control winding, 3 is a compensation winding, y is P, q, P is a winding on the left core column, q is a winding on the right core column, z is a, B, C, a is an A phase winding, B is a B phase winding, C is a C phase winding, and P is a phase winding L Is a magnetic circuit reluctance of the side pole and the upper yoke and the lower yoke connected with the side pole, P m Is a magnetic circuit of a core columnMagnetic resistance, P y The magnetic resistance of the upper yoke and the lower yoke of the iron core is provided.
4. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, wherein obtaining the equivalent circuit of the three-phase eight-column MCSR comprises: and carrying out dual transformation on the KCL and the KVL, and acquiring the equivalent circuit based on the KCL and the KVL after the dual transformation.
5. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 4, wherein the expression of the KCL of the equivalent circuit is as follows:
wherein i sxyz For the current source current obtained by the dual conversion, x is 1,2, 3, 1 is a grid side winding, 2 is a control winding, 3 is a compensation winding, y is p, q, p is a winding on the left core column, q is a winding on the right core column, z is a, B, C, a is an a phase winding, B is a B phase winding, C is a C phase winding, i is a control winding, and q is a compensation winding k' The equivalent circuit branch current after the dual conversion is k '═ 1',2'…, 13';
the expression of the KVL of the equivalent circuit is:
wherein e is k' For the branch voltage, k 'is 1',2'… 13'.
6. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 2, wherein the equivalent circuit comprises: the current source comprises a first branch, a second branch, a third branch, a fourth branch, a fifth branch, a sixth branch, a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch, a thirteenth branch and a current source;
the connection mode of the equivalent circuit is as follows:
the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are sequentially connected in series, the seventh branch is connected in series with the first branch, the eighth branch is connected in series with the sixth branch, one end of the ninth branch is connected between the first branch and the second branch, the three branches form Y-type connection, one end of the tenth branch is connected between the second branch and the third branch, the three branches form Y-type connection, one end of the eleventh branch is connected between the third branch and the fourth branch to form Y-type connection, one end of the twelfth branch is connected between the fourth branch and the fifth branch to form Y-type connection, one end of the thirteenth branch is connected between the fifth branch and the sixth branch to form Y-type connection, and the other terminals of the seventh branch, the eighth branch, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are connected together to form a loop at one point, the current source is respectively connected with the leakage inductance of the corresponding winding in series and respectively connected with the first branch circuit, the second branch circuit, the third branch circuit, the fourth branch circuit, the fifth branch circuit and the sixth branch circuit in parallel.
7. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 6, wherein the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are six parallel combinations of nonlinear inductors and resistors, and correspond to the first magnetic circuit, the second magnetic circuit, the third magnetic circuit, the fourth magnetic circuit, the fifth magnetic circuit and the sixth magnetic circuit respectively;
the seventh branch and the eighth branch are composed of two linear inductors L L And a resistor R L The parallel combination is respectively corresponding to the seventh magnetic circuit and the eighth magnetic circuit;
the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are formed by five linear inductors L y And a resistor R y The parallel combination of the first, second and third magnetic circuits is respectively connected with the ninth, tenth, eleventh and twelfth magnetic circuitsThe path corresponds to the thirteenth magnetic path.
8. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 6, wherein constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR comprises:
respectively simulating the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch based on a first transformer, a second transformer, a third transformer, a fourth transformer, a fifth transformer and a sixth transformer;
respectively simulating a seventh branch, an eighth branch, a ninth branch, a tenth branch, an eleventh branch, a twelfth branch and a thirteenth branch based on a seventh transformer, an eighth transformer, a ninth transformer, a tenth transformer, an eleventh transformer, a twelfth transformer and a thirteenth transformer;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are all double-winding UMEC transformers with open-circuit secondary windings and considering the saturation characteristic of an iron core;
the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are double-winding UMEC transformers with secondary side windings open and without considering the saturation characteristic of an iron core;
the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are connected according to the connection mode of the equivalent circuit;
and two sides of the primary side windings of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer are respectively connected with a double-winding ideal transformer and a three-winding ideal transformer in parallel for simulating the current source.
9. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 8, characterized in that,
connecting in series one side of a double-winding ideal transformer which is formed by connecting a first transformer and a second transformer in parallel and is not connected with a circuit to form an A-phase network side winding, connecting in series one side of a double-winding ideal transformer which is formed by connecting a third transformer and a fourth transformer in parallel and is not connected with the circuit to form a B-phase network side winding, and connecting in series one side of a double-winding ideal transformer which is formed by connecting a fifth transformer and a sixth transformer in parallel and is not connected with the circuit to form a C-phase network side winding;
reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the first transformer and the second transformer and are not connected into the circuit in series to form an A-phase control winding, reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the third transformer and the fourth transformer and are not connected into the circuit in series to form a B-phase control winding, reversely connecting the second windings of the three-winding ideal transformers which are connected in parallel with the fifth transformer and the sixth transformer and are not connected into the circuit in series to form a C-phase control winding, and then connecting the A, B, C three-phase control winding into the control system of the three-phase eight-column MCSR in parallel;
connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a first transformer and a second transformer in series to form an A-phase compensation winding, connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a third transformer and a fourth transformer in series to form a B-phase compensation winding, connecting third windings, which are not connected with a circuit, of three-winding ideal transformers in parallel connection with a fifth transformer and a sixth transformer in series to form a C-phase compensation winding, and connecting A, B, C three-phase compensation windings in a triangular mode;
the resistance and leakage reactance of each winding of each phase are respectively connected in series on each winding terminal wire.
10. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 8, wherein constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR further comprises: and setting parameters of the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, the seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer.
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