CN114996972B - Modeling method of three-phase eight-column type magnetically controlled shunt reactor - Google Patents

Abstract

The invention provides a modeling method of a three-phase eight-column type magnetically controlled shunt reactor, which comprises the following steps: based on an iron core structure of a three-phase eight-column type MCSR, acquiring an equivalent magnetic circuit model of the three-phase eight-column type MCSR; based on the equivalent magnetic circuit model, KCL and KVL of the three-phase eight-column type MCSR are obtained; based on the KCL and the KVL, acquiring an equivalent circuit of the three-phase eight-column type MCSR; and constructing an electromagnetic transient simulation model of the three-phase eight-column type MCSR based on the equivalent circuit. The method can be directly applied to the existing electromagnetic transient simulation software PSCAD, and the simulation precision of the three-phase eight-column type MCSR simulation analysis is improved.

Description

A modeling method of three-phase eight-column magnetically controlled shunt reactor

Technical field

The invention belongs to the technical field of digital simulation modeling, and in particular relates to a modeling method of a three-phase eight-column magnetically controlled shunt reactor.

Background technique

As a new type of flexible AC transmission system device, the magnetically controlled shunt reactor (MCSR) can continuously and quickly adjust the reactive power in the system, thereby effectively suppressing the capacity rise effect and operating overvoltage of ultra-high voltage transmission lines. , latent current and other phenomena, reduce line losses and improve system stability and security.

Three-phase MCSR can be divided into three-phase integrated structure and three single-phase reactor group structure according to the different body structures. Among them, the three-phase integrated MCSR is shown in Figure 2. The three-phase core columns are connected by the upper and lower yokes and side columns of the iron core, forming a three-phase eight-column structure. In terms of windings, the three-phase eight-column MCSR has grid-side windings, control windings and compensation windings. Among them, the grid-side winding and the compensation winding adopt a winding method in which a single conductor is wound around two core columns at the same time. The control winding adopts a winding method in which two conductors are first wound around two core columns respectively, and then the two conductors are connected in reverse series. The primary wiring diagram of the three-phase eight-column MCSR is shown in Figure 3. The three-phase grid-side windings are connected in star shape and the neutral point is grounded; the three-phase control windings are connected in parallel to the output end of the control system; the three-phase compensation windings are connected in angle shape. On the one hand, it provides a path for the third harmonic current, and on the other hand, it is connected to the input end of the control system to provide power for it. In addition, the compensation winding is also connected to an external filter branch to filter the 5th and 7th harmonics.

In the prior art, a single-phase four-column MCSR simulation modeling method based on magnetic circuit decomposition is proposed. This method points out that the single-phase four-column MCSR can be simulated by using the connection combination of conventional saturated transformer and saturated reactor models in existing simulation software. Formula MCSR. The principle of this method is clear and easy to implement, but the method is only for single-phase four-column MCSR. Since the coupling relationship between the three-phase magnetic circuits is not taken into account, this method cannot be applied to the three-phase eight-column MCSR.

In the existing technology, a simulation modeling method based on a combination of six transformers is proposed for the three-phase eight-column MCSR. This method points out that: first, two single-phase three-winding transformers are connected in series to simulate the single-phase four-column MCSR, and then all the transformers are connected in series. The above three single-phase four-post MCSRs are connected to each winding according to the MCSR primary wiring diagram shown in Figure 3 to obtain a three-phase eight-post MCSR simulation model. However, this method does not take into account the influence of the upper and lower yokes and side columns of the three-phase eight-column MCSR core on the magnetic flux flow in the core and the magnetic coupling relationship between the three-phase windings when modeling. Therefore, the simulation accuracy of this method is not tall.

Contents of the invention

In order to solve the above technical problems, the present invention proposes a modeling method of a three-phase eight-column magnetically controlled shunt reactor, which can be directly applied in the existing electromagnetic transient simulation software PSCAD, and improves the understanding of the three-phase eight-column type magnetron shunt reactor. Simulation accuracy of MCSR simulation analysis.

In order to achieve the above objectives, the present invention provides a modeling method of a three-phase eight-column magnetically controlled shunt reactor, including:

Based on the core structure of the three-phase eight-column MCSR, obtain the equivalent magnetic circuit model of the three-phase eight-column MCSR;

Based on the equivalent magnetic circuit model, obtain the KCL and KVL of the three-phase eight-column MCSR;

Based on the KCL and KVL, obtain the equivalent circuit of the three-phase eight-pillar MCSR;

Based on the equivalent circuit, an electromagnetic transient simulation model of the three-phase eight-column MCSR is constructed.

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. Magnetic circuit, ninth magnetic circuit, tenth magnetic circuit, eleventh magnetic circuit, twelfth magnetic circuit and thirteenth magnetic circuit;

The first magnetic circuit is a phase A left leg magnetic circuit; the second magnetic circuit is a phase A right leg magnetic circuit; the third magnetic circuit is a phase B left leg magnetic circuit; and the fourth magnetic circuit is The B-phase right leg magnetic circuit; the fifth magnetic circuit is the C-phase left leg magnetic circuit; the sixth magnetic circuit is the C-phase right leg magnetic circuit; the seventh magnetic circuit is the left side leg and its The left upper and lower yoke magnetic circuits; the eighth magnetic circuit is the right side column and its right upper and lower yoke magnetic circuits; the ninth magnetic circuit is the upper and lower yoke magnetic circuits connecting the left and right core columns of phase A; the tenth magnetic circuit It is the upper and lower yoke magnetic circuit connecting the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the B-phase; the twelfth magnetic circuit is the upper and lower yoke magnetic circuit connecting the B-phase iron core and the upper and lower yoke magnetic circuits of the C-phase core; the thirteenth magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the C-phase.

Optionally, the expression of KCL is:

Among them, φ _k is the magnetic flux of each magnetic circuit, k = 1, 2...13;

The expression of KVL is:

Among them, F _xyz is the magnetomotive force generated by each winding of each phase, x=1, 2, 3, 1 is the grid-side winding, 2 is the control winding, 3 is the compensation winding, y=p, q, p is the left core column The winding on the top, q is the winding on the right core column, z=a, b, c, a is the A-phase winding, b is the B-phase winding, c is the C-phase winding, P _L is the side column and its connected upper and lower yoke magnets path magnetic resistance, P _m is the core column magnetic circuit magnetic resistance, P _y is the core upper and lower yoke magnetic circuit magnetic resistance.

Optionally, obtaining the equivalent circuit of the three-phase eight-column MCSR includes: performing dual transformation on the KCL and the KVL, and obtaining the equivalent circuit based on the dual-transformed KCL and the KVL. .

Optionally, the expression of KCL of the equivalent circuit is:

Among them, i _sxyz is the current source current obtained by dual transformation, x=1, 2, 3, 1 is the grid-side winding, 2 is the control winding, 3 is the compensation winding, y=p, q, p is the left core column The winding _of Current of each branch, k'=1',2'...,13';

The expression of the KVL of the equivalent circuit is:

Among them, e _k' is the branch voltage, k' = 1', 2'...13'.

Optionally, the equivalent circuit includes: a first branch, a second branch, a third branch, a fourth branch, a fifth branch, a sixth branch, a seventh branch, and an eighth branch. , ninth branch, tenth branch, eleventh branch, twelfth branch, thirteenth branch and current source;

The connection method of the equivalent circuit is:

The first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are connected in series in sequence, the seventh branch is connected in series with the first branch, and the eighth branch is connected in series. The road 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 a Y-shaped connection. One end of the tenth branch is connected to the second branch and the third branch. Between the branches, three branches form a Y-shaped connection, one end of the eleventh branch is connected to the third branch and the fourth branch is connected to form a Y-shaped connection, one end of the twelfth branch is connected to the fourth branch The three branch roads between the branch road and the fifth branch road form a Y-shaped connection. One end of the thirteenth branch road is connected to the three branch roads between the fifth branch road and the sixth branch road to form a Y-shaped connection. The seventh branch road and the sixth branch road form a Y-shaped connection. The other terminals of the eight branches, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are jointly connected to one point to form a loop, and the current source is connected to the leakage current of the corresponding winding. The senses are connected in series and in parallel with the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch respectively.

Optionally, the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are six parallel combinations composed of nonlinear inductors and resistors, respectively. Corresponding 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 parallel combinations composed of a linear inductor L _L and a resistor R _L , corresponding to the seventh magnetic circuit and the eighth magnetic circuit respectively;

The ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are five parallel combinations composed of a linear inductor _Ly and a resistor _Ry , respectively connected with the The ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit correspond to each other.

Optionally, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR includes:

Based on the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer, the first branch, the second branch, the third branch, the fourth branch and the fifth transformer are respectively simulated. Branch and Sixth Branch;

The seventh, eighth, ninth branch, The tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch;

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 an open secondary winding and considering the core saturation characteristics;

The seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are all double windings with an open circuit on the secondary side but do not consider the core saturation characteristics. UMEC transformer;

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 The transformer and the thirteenth transformer are connected according to the connection method of the equivalent circuit;

A two-winding ideal transformer and a three-winding ideal transformer are respectively connected in parallel on both sides of the primary side windings of the first, second, third, fourth, fifth and sixth transformers for Simulate the current source.

Optionally, the double-winding ideal transformer in which the first transformer and the second transformer are connected in parallel are connected in series with the unconnected side of the circuit to form the A-phase grid side winding, and the double-winding ideal transformer in which the third transformer and the fourth transformer are connected in parallel are not connected in series. The side of the double-winding ideal transformer that is not connected to the circuit is connected in series to form the B-phase grid-side winding. The fifth transformer and the sixth transformer are connected in parallel.

The second winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in reverse series to form the A-phase control winding. The third and fourth transformers are connected in parallel and the three-winding ideal transformer is not connected in the circuit. The second winding is connected in reverse series to form the B-phase control winding. The fifth transformer and the sixth transformer are connected in parallel. The second winding of the three-winding ideal transformer that is not connected to the circuit is connected in reverse series to form the C-phase control winding. Then A, B, and C are connected in series. The three-phase control windings are connected in parallel to the three-phase eight-column MCSR control system;

The third winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in series to form an A-phase compensation winding. The third winding of an ideal three-winding transformer in which the third and fourth transformers are connected in parallel is not connected in the circuit. The windings are connected in series to form the B-phase compensation winding. The fifth and sixth transformers are connected in parallel to the three-winding ideal transformer. The third winding that is not connected to the circuit is connected in series to form the C-phase compensation winding. Then the A, B and C three-phase compensation windings are delta-shaped. connect;

Connect the resistance and leakage reactance of each winding of each phase in series to the terminal lines of each winding.

Optionally, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR also includes: constructing the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, and the Parameters are set for 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 existing technology, the present invention has the following advantages and technical effects:

(1) The modeling method of the present invention is based on the principle of duality, starting from the magnetic circuit structure of the three-phase eight-column MCSR, and deriving an equivalent circuit that can correctly simulate the three-phase eight-column MCSR, which makes up for the original modeling method. The deficiencies in the magnetic coupling relationship between the MCSR core structure and the three-phase windings are ignored, and the simulation accuracy of the simulation model is improved. (2) The components used in the simulation model of the present invention are all components in the component library that comes with the simulation software. They are equivalent through the connection between conventional components. The model is simple and convenient to build, and the component parameters are easy to obtain. It is convenient for analyzing three-phase and eight-phase components. The interaction between column MCSR and the power grid provides the basis for simulation.

Description of the drawings

The drawings that form a part of this application are used to provide a further understanding of this application. The illustrative embodiments and descriptions of this application are used to explain this application and do not constitute an improper limitation of this application. In the attached picture:

Figure 1 is a schematic flow chart of the modeling method of a three-phase eight-column magnetically controlled shunt reactor according to an embodiment of the present invention;

Figure 2 is a schematic structural diagram of a three-phase eight-column MCSR body according to an embodiment of the present invention;

Figure 3 is a primary wiring diagram of the three-phase eight-column MCSR of the present invention;

Figure 4 is a schematic diagram of the equivalent magnetic circuit model of the three-phase eight-column MCSR according to the embodiment of the present invention;

Figure 5 is a schematic diagram of the three-phase eight-column MCSR equivalent circuit model after dual transformation according to the embodiment of the present invention;

Figure 6 is a schematic diagram of the three-phase eight-column MCSR simulation model in PSCAD according to the embodiment of the present invention.

Detailed ways

It should be noted that, as long as there is no conflict, the embodiments and features in the embodiments of this application can be combined with each other. The present application will be described in detail below with reference to the accompanying drawings and embodiments.

It should be noted that the steps shown in the flowchart of the accompanying drawings can be executed in a computer system such as a set of computer-executable instructions, and, although a logical sequence is shown in the flowchart, in some cases, The steps shown or described may be performed in a different order than here.

Example

As shown in Figure 1, this embodiment provides a modeling method for a three-phase eight-column magnetically controlled shunt reactor, including:

Based on the core structure of the three-phase eight-column MCSR, obtain the equivalent magnetic circuit model of the three-phase eight-column MCSR;

Based on the equivalent magnetic circuit model, obtain the KCL and KVL of the three-phase eight-column MCSR;

Based on the KCL and KVL, obtain the equivalent circuit of the three-phase eight-pillar MCSR;

Based on the equivalent circuit, an electromagnetic transient simulation model of the three-phase eight-column MCSR is constructed.

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. circuit, the ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit;

The first magnetic circuit is a phase A left leg magnetic circuit; the second magnetic circuit is a phase A right leg magnetic circuit; the third magnetic circuit is a phase B left leg magnetic circuit; and the fourth magnetic circuit is The B-phase right leg magnetic circuit; the fifth magnetic circuit is the C-phase left leg magnetic circuit; the sixth magnetic circuit is the C-phase right leg magnetic circuit; the seventh magnetic circuit is the left side leg and its The left upper and lower yoke magnetic circuits; the eighth magnetic circuit is the right side column and its right upper and lower yoke magnetic circuits; the ninth magnetic circuit is the upper and lower yoke magnetic circuits connecting the left and right core columns of phase A; the tenth magnetic circuit It is the upper and lower yoke magnetic circuit connecting the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the B-phase; the twelfth magnetic circuit is the upper and lower yoke magnetic circuit connecting the B-phase iron core and the upper and lower yoke magnetic circuits of the C-phase core; the thirteenth magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the C-phase.

Further, obtaining the KCL and KVL of the three-phase eight-column MCSR also includes: performing a dual transformation on the KCL and the KVL, and obtaining the KCL and the KVL of the equivalent circuit dual to the magnetic circuit. KVL.

Further, the equivalent circuit includes: a first branch, a second branch, a third branch, a fourth branch, a fifth branch, a sixth branch, a seventh branch, an eighth branch, The ninth branch, the tenth branch, the eleventh branch, the twelfth branch, the thirteenth branch and the current source;

The connection method of the equivalent circuit is:

The first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are connected in series in sequence, the seventh branch is connected in series with the first branch, and the eighth branch is connected in series. The road 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 a Y-shaped connection. One end of the tenth branch is connected to the second branch and the third branch. Between the branches, three branches form a Y-shaped connection, one end of the eleventh branch is connected to the third branch and the fourth branch is connected to form a Y-shaped connection, one end of the twelfth branch is connected to the fourth branch The three branch roads between the branch road and the fifth branch road form a Y-shaped connection. One end of the thirteenth branch road is connected to the three branch roads between the fifth branch road and the sixth branch road to form a Y-shaped connection. The seventh branch road and the sixth branch road form a Y-shaped connection. The other terminals of the eight branches, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are jointly connected to one point to form a loop, and the current source is connected to the leakage current of the corresponding winding. The senses are connected in series and in parallel with the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch respectively.

Further, the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are six parallel combinations composed of nonlinear inductors and resistors, respectively with 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 correspond to each other;

The seventh branch and the eighth branch are two parallel combinations composed of a linear inductor L _L and a resistor R _L , corresponding to the seventh magnetic circuit and the eighth magnetic circuit respectively;

The ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are five parallel combinations composed of a linear inductor _Ly and a resistor _Ry , respectively connected with the The ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit correspond to each other.

Further, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR includes:

Based on the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer, the first branch, the second branch, the third branch, the fourth branch and the fifth transformer are respectively simulated. Branch and Sixth Branch;

The seventh, eighth, ninth branch, The tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch;

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 an open secondary winding and considering the core saturation characteristics;

The seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are all double windings with an open circuit on the secondary side but do not consider the core saturation characteristics. UMEC transformer;

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 The transformer and the thirteenth transformer are connected according to the connection method of the equivalent circuit;

A two-winding ideal transformer and a three-winding ideal transformer are respectively connected in parallel on both sides of the primary side windings of the first, second, third, fourth, fifth and sixth transformers for Simulate the current source.

Further, the side of the double-winding ideal transformer in which the first transformer and the second transformer are connected in parallel are connected in series to form the A-phase grid-side winding, and the double-winding ideal transformer in which the third transformer and the fourth transformer are connected in parallel are not connected in series. One side of the circuit is connected in series to form the B-phase grid-side winding, and the fifth transformer and the sixth transformer are connected in parallel. The side of the double-winding ideal transformer that is not connected to the circuit is connected in series to form the C-phase grid-side winding;

The second winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in reverse series to form the A-phase control winding. The third and fourth transformers are connected in parallel and the three-winding ideal transformer is not connected in the circuit. The second winding is connected in reverse series to form the B-phase control winding. The fifth transformer and the sixth transformer are connected in parallel. The second winding of the three-winding ideal transformer that is not connected to the circuit is connected in reverse series to form the C-phase control winding. Then A, B, and C are connected in series. The three-phase control windings are connected in parallel to the three-phase eight-column MCSR control system;

The third winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in series to form an A-phase compensation winding. The third winding of an ideal three-winding transformer in which the third and fourth transformers are connected in parallel is not connected to the circuit. The windings are connected in series to form the B-phase compensation winding. The fifth and sixth transformers are connected in parallel to the three-winding ideal transformer. The third winding that is not connected to the circuit is connected in series to form the C-phase compensation winding. Then the A, B and C three-phase compensation windings are delta-shaped. connect;

Connect the resistance and leakage reactance of each winding of each phase in series to the terminal lines of each winding.

Further, constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR also includes: constructing the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer, the sixth transformer, and the seventh transformer. Parameters are set for the transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer.

The specific steps of the modeling method of a three-phase eight-column magnetically controlled shunt reactor proposed in this embodiment are as follows:

Step 1: First, draw the equivalent magnetic circuit model of the three-phase eight-column MCSR in Figure 4 based on the core structure of the three-phase eight-column MCSR in Figure 2 and define each physical quantity and positive direction. In order to facilitate the formulation of modeling methods and models, while ensuring that the magnetic field in the iron core remains unchanged, it is assumed that the grid-side winding and the compensation winding are composed of two wires wound on two core columns in series. Note that the magnetic circuit of the left core leg (p) of phase A of the three-phase eight-post MCSR is 1 and the magnetic circuit of the right core leg (q) is 2; the magnetic circuit of the left (p) core leg of phase B is 3 and the magnetic circuit of the right core leg (q) is 3. The magnetic circuit of the left core column (p) of phase C is 5, and the magnetic circuit of the right core column (q) is 6; the magnetic circuit of the left side column and its left upper and lower yokes is 7; the magnetic circuit of the right side column and its right upper and lower yokes is 7 The magnetic circuit is 8; the upper and lower yoke magnetic circuits connecting the left and right core legs of phase A are 9; the upper and lower yoke magnetic circuits connecting the phase A core and phase B core are 10; the upper and lower yoke magnetic circuits connecting the left and right core legs of 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 core legs of the C-phase are 13.

Let the magnetomotive force generated by each winding of each phase be F _xyz , and the current source current obtained by dual transformation of the magnetomotive force F _xyz is i _sxyz (where x=1 represents the grid-side winding, x=2 represents the control winding, and x=3 represents the compensation winding; y=p represents the winding on the left core column, y=q represents the winding on the right core column; z=a represents the A-phase winding, z=b represents the B-phase winding, z=c represents the C-phase winding) ; The magnetic resistance of the core column magnetic circuit is P _m , the magnetic resistance of the upper and lower yoke magnetic circuits of the iron core is P _y , the magnetic resistance of the side columns and the connected upper and lower yoke magnetic circuits is P _L ; the leakage magnetic resistance of each winding is P _x (x=1 represents the grid-side winding, x=2 represents the control winding, x=3 represents the compensation winding); the magnetic flux of each magnetic circuit is φ _k . After dual transformation, the branch current of each equivalent circuit is i _k' and the branch voltage is e _k '(k'=1',2'...13');

Step 2: According to the physical quantities defined in step 1 and the magnetic circuit structure of the three-phase eight-column MCSR, list the KCL and KVL equations of the three-phase eight-column MCSR regarding the magnetic circuit as:

Step 3: According to the principle of duality, perform dual transformation on the KCL and KVL equations of the three-phase eight-column MCSR magnetic circuit in step 2, and obtain the KCL and KVL equations of the three-phase eight-column MCSR equivalent circuit dual to the magnetic circuit:

Step 4: According to the KCL and KVL equations of the three-phase eight-column MCSR equivalent circuit in step 3, obtain the equivalent circuit of the three-phase eight-column MCSR in Figure 5.

Among them, branches 1'-6' are respectively 6 parallel combinations composed of non-linear inductance L _m and resistance R _m , corresponding to the core magnetic circuits 1-6 of the three-phase eight-column MCSR; branches 7' and 8' They are two parallel combinations composed of linear inductor L _L and resistor R _L , respectively corresponding to the left side column and its left upper and lower yoke magnetic circuit 7, and the right side column and its right upper and lower yoke magnetic circuit 8 of the three-phase eight-column MCSR. ; Branches 9'-13' are respectively five parallel combinations composed of linear inductance L _y and resistance R _y , corresponding to the upper and lower yoke magnetic circuits 9 of the three-phase eight-column MCSR connecting the left and right core columns of phase A, and connecting A The upper and lower yoke magnetic circuits 10 of the phase core and the B-phase core, the upper and lower yoke magnetic circuits 11 connecting the left and right core legs of the B phase, the upper and lower yoke magnetic circuits 12 connecting the B-phase core and the C-phase core, and the left and right cores of the C phase. The upper and lower yoke magnetic circuits 13 of the column; the current source i _sxyz corresponds to the magnetomotive force F _xyz of each winding of each phase of the three-phase eight-column MCSR; the linear inductor _L , X=3 represents the compensation winding) corresponding to the magnetic leakage path of each winding of the three-phase eight-column MCSR.

Among them, branches 1'-6' are connected in series in sequence, branch 7' is connected in series with branch 1', branch 8' is connected in series with branch 6', and one end of branch 9' is connected to branch 1'. Three branches between branch road 2' and branch road 2' form a Y-shaped connection, one end of branch road 10' is connected to branch road 2' and branch road 3' forms a Y-shaped connection, one end of branch road 11' is connected to a branch road The three branches between branch 3' and branch 4' form a Y-shaped connection. One end of branch 12' is connected to branch 4' and branch 5' to form a Y-shaped connection. One end of branch 13' is connected. The three branches between branch 5' and branch 6' form a Y-shaped connection, and the other terminals of branches 7'-13' are jointly connected to one point to form a loop. The current sources i _sxyz are connected in series with the leakage inductance of the corresponding winding and in parallel with the branches 1'-6' respectively.

Step 5: Based on the equivalent circuit of the three-phase eight-column MCSR described in step 4, use the components in the software component library in the simulation software PSCAD to build the electromagnetic transient simulation model of the three-phase eight-column MCSR in Figure 6.

Among them, the double-winding UMEC transformer T1-T6 with the secondary side winding open circuit and considering the core saturation characteristics is used to simulate the branches 1'-6' in the three-phase eight-column MCSR equivalent circuit in step 4; the secondary side winding is used open circuit However, the double-winding UMEC transformer T7-T13, which does not consider the core saturation characteristics, simulates branches 7'-13' in the three-phase eight-column MCSR equivalent circuit in step 4. Then connect the primary windings of T1-T13 according to the connection method of the three-phase eight-column MCSR equivalent circuit branches 1'-13' in step 4. And a two-winding ideal transformer and a three-winding ideal transformer are connected in parallel on both sides of the primary winding of T1-T6 to simulate the current source i _sxyz .

The side of the double-winding ideal transformer that is connected in parallel with T1 and T2 and is not connected to the circuit is connected in series to form the A-phase grid side winding. The side of the two-winding ideal transformer that is connected in parallel with T3 and T4 that is not connected to the circuit is connected in series to form the phase B grid side. Winding, the side of the two-winding ideal transformer that is connected in parallel with T5 and T6 that is not connected to the circuit is connected in series to form the C-phase grid side winding; the second winding of the three-winding ideal transformer that is connected in parallel with T1 and T2 that is not connected to the circuit is connected in reverse series to form The A-phase control winding, the second winding of the three-winding ideal transformer with T3 and T4 connected in parallel, which is not connected to the circuit, are connected in reverse series to form the B-phase control winding, and the second winding of the three-winding ideal transformer with T5 and T6 connected in parallel, which is not connected to the circuit. The C-phase control winding is formed by reverse series connection, and then the three-phase control windings A, B, and C are connected in parallel to the three-phase eight-column MCSR control system; the three-winding ideal transformer with T1 and T2 connected in parallel is not connected to the third side of the circuit. The windings are connected in series to form the A-phase compensation winding. The third winding of the three-winding ideal transformer with T3 and T4 connected in parallel is not connected to the circuit. The third winding is connected in series to form the B-phase compensation winding. The third winding of the three-winding ideal transformer with T5 and T6 connected in parallel is not connected to the circuit. The windings are connected in series to form the C-phase compensation winding, and then the three-phase compensation windings A, B, and C are connected in a delta shape. Finally, the resistance and leakage reactance of each winding of each phase are connected in series to the terminal lines of each winding.

Step 6: Set the parameters for each component in step 5. The parameters of the UMEC transformer T1-T6 considering the core saturation characteristics are: the rated capacity is 1/6 of the rated capacity of the three-phase eight-column MCSR, the primary side and the secondary side. The side rated voltage is 1/2 of the rated phase voltage on the three-phase eight-column MCSR grid side, the rated frequency is consistent with the system frequency, the leakage reactance, no-load loss, and load loss are all set to 0, and the core saturation characteristics pass the no-load test The I-U curve is obtained; the parameters of the UMEC transformer T7-T13 without considering the core saturation characteristics are the same as the parameter settings of T1-T6 except that the core saturation characteristics are not set; the parameters of the double-winding ideal transformer are set as follows: the rated capacity is three-phase The rated capacity of the eight-column MCSR is 1/6, the rated voltage of the primary side and the secondary side is 1/2 of the rated phase voltage of the grid side of the three-phase eight-column MCSR, the rated frequency is consistent with the system frequency, leakage reactance, and no-load loss , load loss are all set to 0; the parameters of the three-winding ideal transformer are set as follows: the rated capacity is 1/6 of the rated capacity of the three-phase eight-column MCSR, and the rated voltage of the first winding is the rated phase voltage of the grid side of the three-phase eight-column MCSR. 1/2 of the rated voltage of the second winding is the rated phase voltage of the control side of the three-phase eight-column MCSR, and the rated voltage of the third winding is 1/2 of the rated voltage of the compensation side of the three-phase eight-column MCSR. The rated frequency remains the same as the system frequency. Consistency, leakage reactance, no-load loss, and load loss are all set to 0. The resistance value and leakage reactance value of each winding are the actual resistance value and leakage reactance value of each winding of the three-phase eight-column MCSR.

The above are only preferred specific implementations of the present application, but the protection scope of the present application is not limited thereto. Any person familiar with the technical field can easily think of changes or substitutions within the technical scope disclosed in the present application. All are covered by the protection scope of this application. Therefore, the protection scope of this application should be subject to the protection scope of the claims.

Claims (5)

1. A modeling method for a three-phase eight-column magnetically controlled shunt reactor, which is characterized by including: Based on the core structure of the three-phase eight-column MCSR, obtain the equivalent magnetic circuit model of the three-phase eight-column MCSR; 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, and a third magnetic circuit. The ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit; The first magnetic circuit is a phase A left leg magnetic circuit; the second magnetic circuit is a phase A right leg magnetic circuit; the third magnetic circuit is a phase B left leg magnetic circuit; and the fourth magnetic circuit is The B-phase right leg magnetic circuit; the fifth magnetic circuit is the C-phase left leg magnetic circuit; the sixth magnetic circuit is the C-phase right leg magnetic circuit; the seventh magnetic circuit is the left side leg and its The left upper and lower yoke magnetic circuits; the eighth magnetic circuit is the right side column and its right upper and lower yoke magnetic circuits; the ninth magnetic circuit is the upper and lower yoke magnetic circuits connecting the left and right core columns of phase A; the tenth magnetic circuit It is the upper and lower yoke magnetic circuit connecting the A-phase iron core and the B-phase iron core; the eleventh magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the B-phase; the twelfth magnetic circuit is the upper and lower yoke magnetic circuit connecting the B-phase iron core and the upper and lower yoke magnetic circuits of the C-phase core; the thirteenth magnetic circuit is the upper and lower yoke magnetic circuit connecting the left and right core legs of the C-phase; Based on the equivalent magnetic circuit model, obtain the KCL and KVL of the three-phase eight-column MCSR; Based on the KCL and KVL, obtain the equivalent circuit of the three-phase eight-pillar MCSR; Obtaining the equivalent circuit of the three-phase eight-column MCSR includes: performing dual transformation on the KCL and the KVL, and obtaining the equivalent circuit based on the KCL and the KVL after the dual transformation; The equivalent circuit includes: first branch, second branch, third branch, fourth branch, fifth branch, sixth branch, seventh branch, eighth branch, ninth branch road, the tenth branch, the eleventh branch, the twelfth branch, the thirteenth branch and the current source; The connection method of the equivalent circuit is: The first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch are connected in series in sequence, the seventh branch is connected in series with the first branch, and the eighth branch is connected in series. The road 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 a Y-shaped connection. One end of the tenth branch is connected to the second branch and the third branch. Between the branches, three branches form a Y-shaped connection, one end of the eleventh branch is connected to the third branch and the fourth branch is connected to form a Y-shaped connection, one end of the twelfth branch is connected to the fourth branch The three branch roads between the branch road and the fifth branch road form a Y-shaped connection. One end of the thirteenth branch road is connected to the three branch roads between the fifth branch road and the sixth branch road to form a Y-shaped connection. The seventh branch road and the sixth branch road form a Y-shaped connection. The other terminals of the eight branches, the ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are jointly connected to one point to form a loop, and the current source is connected to the leakage current of the corresponding winding. The senses are connected in series and in parallel with the first branch, the second branch, the third branch, the fourth branch, the fifth branch and the sixth branch respectively; Based on the equivalent circuit, construct an electromagnetic transient simulation model of the three-phase eight-column MCSR; Constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR includes: Based on the first transformer, the second transformer, the third transformer, the fourth transformer, the fifth transformer and the sixth transformer, the first branch, the second branch, the third branch, the fourth branch and the fifth transformer are respectively simulated. Branch and Sixth Branch; The seventh, eighth, ninth branch, The tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch; 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 an open secondary winding and considering the core saturation characteristics; The seventh transformer, the eighth transformer, the ninth transformer, the tenth transformer, the eleventh transformer, the twelfth transformer and the thirteenth transformer are all double windings with an open circuit on the secondary side but do not consider the core saturation characteristics. UMEC transformer; 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 The transformer and the thirteenth transformer are connected according to the connection method of the equivalent circuit; A two-winding ideal transformer and a three-winding ideal transformer are respectively connected in parallel on both sides of the primary side windings of the first, second, third, fourth, fifth and sixth transformers for simulate said current source; The two-winding ideal transformer in which the first transformer and the second transformer are connected in parallel are connected in series to form the A-phase grid-side winding. The side of the double-winding ideal transformer in which the third transformer and the fourth transformer are connected in parallel are not connected to the circuit. The side of the double-winding ideal transformer that is not connected to the circuit is connected in series to form the C-phase grid side winding; the fifth transformer and the sixth transformer are connected in parallel; The second winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in reverse series to form the A-phase control winding. The third and fourth transformers are connected in parallel and the three-winding ideal transformer is not connected in the circuit. The second winding is connected in reverse series to form the B-phase control winding. The fifth transformer and the sixth transformer are connected in parallel. The second winding of the three-winding ideal transformer that is not connected to the circuit is connected in reverse series to form the C-phase control winding. Then A, B, and C are connected in series. The three-phase control windings are connected in parallel to the three-phase eight-column MCSR control system; The third winding of a three-winding ideal transformer in which the first and second transformers are connected in parallel and not connected to the circuit is connected in series to form an A-phase compensation winding. The third winding of an ideal three-winding transformer in which the third and fourth transformers are connected in parallel is not connected to the circuit. The windings are connected in series to form the B-phase compensation winding. The fifth and sixth transformers are connected in parallel to the three-winding ideal transformer. The third winding that is not connected to the circuit is connected in series to form the C-phase compensation winding. Then the A, B and C three-phase compensation windings are delta-shaped. connect; Connect the resistance and leakage reactance of each winding of each phase in series to the terminal lines of each winding. 2. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, characterized in that the expression of the KCL is: Among them, φ _k is the magnetic flux of each magnetic circuit, k = 1, 2...13; The expression of KVL is: Among them, F _xyz is the magnetomotive force generated by each winding of each phase, x=1, 2, 3, 1 is the grid-side winding, 2 is the control winding, 3 is the compensation winding, y=p, q, p is the left core column The winding on the top, q is the winding on the right core column, z=a, b, c, a is the A-phase winding, b is the B-phase winding, c is the C-phase winding, P _L is the side column and its connected upper and lower yoke magnets path magnetic resistance, P _m is the core column magnetic circuit magnetic resistance, P _y is the core upper and lower yoke magnetic circuit magnetic resistance. 3. The modeling method of a three-phase eight-column magnetically controlled shunt reactor according to claim 1, characterized in that the expression of the KCL of the equivalent circuit is: Among them, i _sxyz is the current source current obtained by dual transformation, x=1, 2, 3, 1 is the grid-side winding, 2 is the control winding, 3 is the compensation winding, y=p, q, p is the left core column The winding _of Current of each branch, k'=1',2'...,13'; The expression of the KVL of the equivalent circuit is: Among them, e _k' is the branch voltage, k' = 1', 2'...13'. 4. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, characterized in that the first branch, the second branch, the third branch, the fourth branch, The fifth branch and the sixth branch are six parallel combinations composed of nonlinear inductors and resistors, which are respectively connected with the first magnetic circuit, the second magnetic circuit, the third magnetic circuit, the fourth magnetic circuit, and the fifth magnetic circuit. The path corresponds to the sixth magnetic path; The seventh branch and the eighth branch are two parallel combinations composed of a linear inductor L _L and a resistor R _L , corresponding to the seventh magnetic circuit and the eighth magnetic circuit respectively; The ninth branch, the tenth branch, the eleventh branch, the twelfth branch and the thirteenth branch are five parallel combinations composed of a linear inductor _Ly and a resistor _Ry , respectively connected with the The ninth magnetic circuit, the tenth magnetic circuit, the eleventh magnetic circuit, the twelfth magnetic circuit and the thirteenth magnetic circuit correspond to each other. 5. The modeling method of the three-phase eight-column magnetically controlled shunt reactor according to claim 1, wherein constructing the electromagnetic transient simulation model of the three-phase eight-column MCSR further includes: A first transformer, a second transformer, a third transformer, a fourth transformer, a fifth transformer, a sixth transformer, a seventh transformer, an eighth transformer, a ninth transformer, a tenth transformer, an eleventh transformer, a twelfth transformer and a third transformer. Parameter settings for thirteen transformers.