CN108509697A - A kind of converter system original-dual circuit modeling method considering disturbance - Google Patents
A kind of converter system original-dual circuit modeling method considering disturbance Download PDFInfo
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Abstract
The invention discloses a kind of converter system original dual circuit modeling methods considering disturbance.According to the control dynamic characteristic of current transformer grid-connected system, and consider the disturbance injected in converter control system, establishes the impedance port identity of current transformer and electric network；Using the secondary supersynchronous impedance port characteristic conversion for becoming change commanders current transformer and electric network to former dual spaces, the impedance port identity of current transformer and electric network original antithesis component form is obtained；Based on the impedance port identity of former antithesis component form, the two-port network of current transformer and electric network is established respectively, and the two is connected and obtains the equivalent former dual circuit of current transformer grid-connected system.The present invention establishes the current transformer grid-connected system original dual circuit with clear physical significance, and the Small signal stability analysis and generalized admittance that can be used for current transformer grid-connected system measure.
Description
Technical Field
The invention relates to a converter small signal modeling method, in particular to a disturbance-considered converter system primary-dual circuit modeling method.
Background
With the large-scale development of renewable energy sources and the wide utilization of flexible direct current/alternating current transmission, voltage source converters are increasingly utilized in power systems. Although the converter has the advantages of high efficiency, strong controllability and the like, the number of the connected converters is increased day by day, the capacity is increased day by day, and an alternating current power grid is weakened relatively gradually. Under a weak power grid, the coupling between the converter and the alternating current grid and between the converters becomes strong, and further, the problem of complex oscillation of the system can be caused.
The oscillation problem of the converter grid-connected system can be generally analyzed from the small interference angle, and the method mainly comprises two types: a characteristic root analysis method based on state space and an impedance analysis method based on frequency domain theory. The impedance method in the frequency domain method can quantitatively analyze the stability of the system only by using measurable characteristics outside the port, and has attracted more and more attention in recent years. Some current transformer impedance modeling methods are inconvenient for mechanism analysis of a large-scale system, and some current transformer impedance modeling methods have unclear physical significance.
Disclosure of Invention
In order to solve the problems in the background art, the invention discloses a disturbance-considered converter system primary-dual circuit modeling method which can be used for converter small-interference stability analysis and generalized impedance measurement.
The technical scheme of the invention comprises the following steps:
1) according to the dynamic characteristics of a converter grid-connected system and considering the disturbance injected in the control of the converter, establishing the impedance port characteristics of the converter and the electric network; the electric network refers to an electric network to which the converter is connected.
2) Converting the characteristics of the impedance ports of the converter and the electric network into an original-dual space by using sub-super synchronous conversion to obtain the characteristics of the impedance ports of the converter and the electric network in an original-dual component mode;
3) and respectively establishing two port networks of the converter and the electric network based on the impedance port characteristics in the form of the primary-dual component, and connecting the two port networks to obtain an equivalent primary-dual circuit of the converter grid-connected system.
The converter grid-connected system in the step 1) refers to a system in which a converter is integrated into a power grid, the converter control is double-loop vector control based on a phase-locked loop, an inner loop is vector current control, and an outer loop is power control or direct-current voltage control; the dynamic characteristics of the converter grid-connected system comprise dynamic characteristics of controlling an inner ring, an outer ring and a phase-locked loop and dynamic characteristics of a power grid line.
In the step 1), the disturbance injected in the converter control is a small interference signal near the converter control instruction value, the injection position is an inner ring current loop, and the form of the disturbance is a sinusoidal signal.
The characteristics of the impedance port of the current transformer in the step 1) are as follows:
wherein, DeltaU, DeltaI,Delta delta represents the voltage amplitude disturbance, the current vector angle disturbance and the electricity of the connection port between the converter and the electrical networkDisturbing the vector angle of the pressure; y isg11(s)、Yg22(s) respectively representing a first transfer function and a second transfer function in a characteristic matrix of an impedance port of the current transformer; y isdper(s)、Yqper(s) representing d-axis and q-axis transfer functions from current reference value perturbation to current perturbation, respectively; delta IdperAnd Δ IqperRespectively representing d-axis disturbance and q-axis disturbance injected on an inner loop current reference value controlled by the converter; i represents the steady-state current value of the converter port, and U represents the steady-state voltage value of the connection port.
The characteristics of the impedance port of the electric network in the step 1) are as follows:
wherein, DeltaU, DeltaI,Delta represents the voltage amplitude disturbance, the current vector angle disturbance and the voltage vector angle disturbance of a connecting port between the converter and the electric network; y isL11(s)、YL12(s)、YL21(s)、YL22(s) representing an upper left corner element, an upper right corner element, a lower left corner element and a lower right corner element in a line inductance transfer function matrix in the electrical network, respectively; y isC11(s)、YC12(s)、YC21(s)、YC22And(s) represents an upper left corner element, an upper right corner element, a lower left corner element and a lower right corner element in the filter capacitance transfer function matrix of the converter.
In the step 2), the characteristics of the impedance ports of the converter and the electric network are transformed to an original-dual space by using sub-super synchronous transformation, which specifically comprises the following steps:
in the formula,. DELTA.IPAnd Δ IDRepresenting the disturbance of the primary current and the disturbance of the dual current in the primary-dual space; delta UPAnd Δ UDRepresenting the disturbance of the original voltage and the disturbance of the dual voltage in the original-dual space; t represents a transformation matrix of the subsynchronous transformation, and the expression is as follows:
where j represents the imaginary fundamental unit in the complex number, i.e., the square root of-1.
The port characteristics of the converter in the form of the primary-dual components obtained in the step 2) are as follows:
wherein,
in the formula, Ye1_VSCRepresenting the first generalized admittance, Y, of the current transformere2_VSCRepresenting a second generalized admittance, Y, of the current transformere3_VSCRepresenting a third generalized admittance, Y, of the current transformerper1And Yper2First and second transfer functions representing a disturbance of a current command value to a current disturbance in a primary-secondary space; t represents subsynchronous changeAnd (4) changing a transformation matrix.
The port characteristics of the electric network in the form of the original-dual component obtained in the step 2) are as follows:
wherein,
in the formula, Ye2_L、Ye3_LRespectively representing the second and third generalized admittance, Y, of the inductive circuite2_C、Ye3_CRespectively, representing the second and third generalized admittances of the filter capacitance.
The two-port network of the converter in the step 3) has two nodes which are respectively marked as an original node P and a dual node D, the two nodes are connected through a common branch, and the common branch uses a generalized admittance Ye1_VSCThe method comprises the following steps of representing, wherein an original node P and a dual node D are respectively connected with two equivalent current sources; the voltages of the original node P and the dual node D are respectively delta UPAnd Δ UDOutput currents are respectively delta IPAnd Δ ID；
The two-port network of the neutral network in the step 3) is composed of four generalized admittances, has two nodes, and is respectively marked as an original node P and a dual node D, each node is connected with two generalized admittances, and the terminal voltages of the original node P and the dual node D are delta UPAnd Δ UDOutput currents are respectively delta IPAnd Δ ID；
Connecting the converter with the nodes with the same name in the two-port network of the electric network, namely connecting the two-port network of the converter with the original node P of the two-port network of the electric network, and connecting the two-port network of the converter with the dual node D of the two-port network of the electric network to obtain the equivalent original-dual circuit of the converter grid-connected system.
Said generalized admittance Ye1_VSC、Ye2_VSCAnd Ye3_VSCAnd a transfer function Yper1And Yper2The following formula is used for calculation:
wherein, Yg11(s)、Yg22(s) representing a first and a second transfer function in a converter port characteristic matrix, respectively; y isdper(s)、Yqper(s) representing d-axis and q-axis transfer functions from current reference value perturbation to current perturbation, respectively;
said generalized admittance Ye2_L、Ye3_L、Ye2_CAnd Ye3_CThe following formula is used for calculation:
wherein, YL11(s)、YL12(s) representing the top left corner element and the top right corner element in a transfer function matrix of line inductance in the electrical network, respectively; y isC11(s)、YC12And(s) represents an upper left corner element and an upper right corner element in a transfer function matrix of the filter capacitor of the current transformer.
The equivalent primary-dual circuit is used for analyzing the stability of a grid-connected system and the impedance measurement of the equivalent circuit.
The invention has the beneficial effects that: the equivalent dual circuit of the disturbance-considered converter grid-connected system disclosed by the invention corresponds to a real physical system, has clearer physical significance compared with other equivalent circuit modeling methods, solves the coupling problem of a power grid and a converter impedance matrix when analyzing the system stability, and simultaneously provides a theoretical basis for the measurement of the generalized admittance.
According to the method, a small signal system of a converter grid-connected system is modeled into a primary circuit and a dual circuit (namely an equivalent primary-dual circuit) for system stability analysis. The disturbance-considered converter system primary dual circuit method can provide a theoretical basis for converter stability analysis and impedance measurement.
Drawings
FIG. 1 is a diagram of the modeling steps of the present invention;
FIG. 2 is a schematic diagram of a converter control system;
FIG. 3 is a converter primary-dual equivalent circuit considering disturbance;
FIG. 4 is a true-to-true equivalent circuit of an electrical network;
FIG. 5 is a primary-dual equivalent circuit of a converter grid-connected system considering disturbance;
FIG. 6 is a block diagram of converter vector control;
fig. 7 is a comparison of the characteristic values of the converter grid-connected system and the original dual circuit.
Detailed Description
The invention is described in further detail below with reference to the drawings and the specific embodiments.
As shown in fig. 1, the method of the present invention specifically includes:
1) according to the control dynamic characteristic of a converter grid-connected system and considering the disturbance injected in the converter control system, establishing the impedance port characteristics of the converter and the electric network;
2) converting the characteristics of the impedance ports of the converter and the electric network into an original-dual space by using sub-super synchronous conversion to obtain the characteristics of the impedance ports of the converter and the electric network in an original-dual component mode;
3) and respectively establishing two port networks of the converter and the electric network based on the impedance port characteristics in the form of the primary-dual component, and connecting the two port networks to obtain an equivalent primary-dual circuit of the converter grid-connected system.
The converter control system in step 1) adopts a common double-loop vector control method based on a phase-locked loop, a double-loop structure is shown in fig. 2, an inner loop is used for vector current control, and an outer loop is used for direct-current voltage control.
The perturbation injected in step 1) is shown as Δ I in FIG. 2dperAnd Δ IqperThe injection position is an inner ring current loop, and the disturbance is in a sine signal form.
As shown in fig. 1, the embodiment implemented according to the complete method of the present invention comprises the implementation steps of:
in the step 1), establishing the characteristics of an impedance port of the converter as follows:
using subsynchronous transformation of equation (9) into a transformation matrixThe transformation process is as follows:
according to the definitions of formula (3), formula (4) and formula (5), formula (10) can be simplified to:
and further obtaining the port characteristics of the variable flow in the form of a primary-dual component:
in the formula (12), the relationship between each matrix element and each matrix element in the formula (9) is:
equation (12) is considered as an equivalent two-port network, and the equivalent circuit is shown in fig. 3. Thus, a converter primary-dual circuit considering disturbance is established.
The characteristics of the impedance port of the electric network in the step 1) are as follows:
performing subsynchronous transformation on the equation (15), wherein the transformation process is as follows:
according to the definitions of the formula (3) and the formula (4), the formula (16) is simplified to the port characteristics of the electrical network in the form of the original-dual component in the step 3):
in the formula (17), the relationship between each matrix element and each matrix element in the formula (15) is:
equation (17) can be regarded as an equivalent two-port network, and the equivalent circuit thereof is shown in fig. 4. So far, the original-dual circuit of the electric network is established.
The node P (and D) of the converter equivalent circuit in fig. 3 and 4 is the same as the node P (and D) of the grid equivalent circuit, and the current directions are opposite, so that the equivalent circuit of the grid-connected system can be obtained by connecting the converter and the equipotential node in the network equivalent circuit as shown in fig. 5.
Thus, a primary-dual circuit of the converter grid-connected system considering disturbance in the step 3) is established.
The effectiveness of the modeling method of the orthodual circuit in the system stability analysis is described below by combining with specific calculation examples. Converter control in the example as shown in fig. 6, reactive current reference IqrefThe key parameters in the system are shown in table 1, 0.
The invention provides a modeling method of a primary-dual circuit, and establishes the primary-dual circuit of a converter grid-connected system. In order to analyze the stability of the converter grid-connected system, on one hand, a characteristic value of the system is calculated from a state equation of the grid-connected system, and on the other hand, a zero point is obtained by using the sum of loop impedances of the original-dual circuit as zero to serve as a resonance condition of the original-dual circuit. Fig. 7 lists the zero point and the grid-connected system characteristic values obtained from the original-dual circuit resonance under different line impedances. As can be seen from the figure, the primary-dual circuit can actually reflect the dynamic characteristics of an actual system, and the primary-dual circuit modeling method provided by the invention can be used for analyzing the stability of a converter grid-connected system.
TABLE 1
The foregoing detailed description is intended to illustrate and not limit the invention, which is to be understood as falling within the spirit of the invention and the scope of the appended claims.
Claims (10)
1. A disturbance-considered converter system primary-dual circuit modeling method is characterized by mainly comprising the following three steps:
1) according to the dynamic characteristics of a converter grid-connected system and considering the disturbance injected in the control of the converter, establishing the impedance port characteristics of the converter and the electric network;
2) converting the characteristics of the impedance ports of the converter and the electric network into an original-dual space by using sub-super synchronous conversion to obtain the characteristics of the impedance ports of the converter and the electric network in an original-dual component mode;
3) and respectively establishing two port networks of the converter and the electric network based on the impedance port characteristics in the form of the primary-dual component, and connecting the two port networks to obtain an equivalent primary-dual circuit of the converter grid-connected system.
2. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the converter grid-connected system in the step 1) refers to a system in which a converter is integrated into a power grid, the converter control is double-loop vector control based on a phase-locked loop, an inner loop is vector current control, and an outer loop is power control or direct-current voltage control; the dynamic characteristics of the converter grid-connected system comprise dynamic characteristics of controlling an inner ring, an outer ring and a phase-locked loop and dynamic characteristics of a power grid line.
3. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the characteristics of the impedance port of the current transformer in the step 1) are as follows:
wherein, DeltaU, DeltaI,Delta represents the voltage amplitude disturbance, the current vector angle disturbance and the voltage vector angle disturbance of a connecting port between the converter and the electric network; y isg11(s)、Yg22(s) respectively representing a first transfer function and a second transfer function in a characteristic matrix of an impedance port of the current transformer; y isdper(s)、Yqper(s) representing d-axis and q-axis transfer functions from current reference value perturbation to current perturbation, respectively; delta IdperAnd Δ IqperRespectively representing d-axis disturbance and q-axis disturbance injected on an inner loop current reference value controlled by the converter; i represents the steady-state current value of the converter port, and U represents the steady-state voltage value of the connection port.
4. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the characteristics of the impedance port of the electric network in the step 1) are as follows:
wherein, DeltaU, DeltaI,Delta represents the voltage amplitude disturbance, the current vector angle disturbance and the voltage vector angle disturbance of a connecting port between the converter and the electric network; y isL11(s)、YL12(s)、YL21(s)、YL22(s) representing an upper left corner element, an upper right corner element, a lower left corner element and a lower right corner element in a line inductance transfer function matrix in the electrical network, respectively; y isC11(s)、YC12(s)、YC21(s)、YC22And(s) represents an upper left corner element, an upper right corner element, a lower left corner element and a lower right corner element in the filter capacitance transfer function matrix of the converter.
5. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: in the step 2), the characteristics of the impedance ports of the converter and the electric network are transformed to an original-dual space by using sub-super synchronous transformation, which specifically comprises the following steps:
in the formula,. DELTA.IPAnd Δ IDRepresenting the disturbance of the primary current and the disturbance of the dual current in the primary-dual space; delta UPAnd Δ UDRepresenting the disturbance of the original voltage and the disturbance of the dual voltage in the original-dual space; t represents a transformation matrix of the subsynchronous transformation, and the expression is as follows:
where j represents the imaginary fundamental unit in the complex number, i.e., the square root of-1.
6. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the port characteristics of the converter in the form of the primary-dual components obtained in the step 2) are as follows:
wherein,
in the formula, Ye1_VSCRepresenting the first generalized admittance, Y, of the current transformere2_VSCRepresenting a second generalized admittance, Y, of the current transformere3_VSCRepresenting a third generalized admittance, Y, of the current transformerper1And Yper2First and second transfer functions representing a disturbance of a current command value to a current disturbance in a primary-secondary space; t denotes a transformation matrix of the subsynchronous transformation.
7. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the port characteristics of the electric network in the form of the original-dual component obtained in the step 2) are as follows:
wherein,
in the formula, Ye2_L、Ye3_LRespectively representing the second and third generalized admittance, Y, of the inductive circuite2_C、Ye3_CRespectively, representing the second and third generalized admittances of the filter capacitance.
8. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the two-port network of the converter in the step 3) has two nodes which are respectively marked as an original node P and a dual node D, the two nodes are connected through a common branch, and the common branch uses a generalized admittance Ye1_VSCThe method comprises the following steps of representing, wherein an original node P and a dual node D are respectively connected with two equivalent current sources; the voltages of the original node P and the dual node D are respectively delta UPAnd Δ UDOutput currents are respectively delta IPAnd Δ ID；
The two-port network of the neutral network in the step 3) is composed of four generalized admittances, has two nodes, and is respectively marked as an original node P and a dual node D, each node is connected with two generalized admittances, and the terminal voltages of the original node P and the dual node D are delta UPAnd Δ UDOutput currents are respectively delta IPAnd Δ ID；
And connecting the converter with the nodes with the same name in the two-port network of the electric network to obtain an equivalent primary-dual circuit of the converter grid-connected system.
9. The disturbance-considered converter system primary-dual circuit modeling method according to claim 6 and claim 7, wherein: said generalized admittance Ye1_VSC、Ye2_VSCAnd Ye3_VSCAnd a transfer function Yper1And Yper2The following formula is used for calculation:
wherein, Yg11(s)、Yg22(s) representing a first and a second transfer function in a converter port characteristic matrix, respectively; y isdper(s)、Yqper(s) representing d-axis and q-axis transfer functions from current reference value perturbation to current perturbation, respectively;
said generalized admittance Ye2_L、Ye3_L、Ye2_CAnd Ye3_CThe following formula is used for calculation:
wherein, YL11(s)、YL12(s) representing the top left corner element and the top right corner element in a transfer function matrix of line inductance in the electrical network, respectively; y isC11(s)、YC12And(s) represents an upper left corner element and an upper right corner element in a transfer function matrix of the filter capacitor of the current transformer.
10. The disturbance-considered converter system primary-dual circuit modeling method according to claim 1, wherein: the equivalent primary-dual circuit is used for analyzing the stability of the grid-connected system and the impedance measurement of the equivalent circuit.
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| CN109687511A (en) * | 2018-12-21 | 2019-04-26 | 浙江大学 | Current transformer grid-connected system vibrational stabilization judgment method based on compound circuit mode power |
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| CN109638880A (en) * | 2018-12-21 | 2019-04-16 | 浙江大学 | Current transformer grid-connected system stability improvement method based on admittance shaping range |
| CN109687511A (en) * | 2018-12-21 | 2019-04-26 | 浙江大学 | Current transformer grid-connected system vibrational stabilization judgment method based on compound circuit mode power |
| CN109687511B (en) * | 2018-12-21 | 2020-08-11 | 浙江大学 | Converter grid-connected system oscillation stability judgment method based on complex circuit modal power |
| CN109638880B (en) * | 2018-12-21 | 2022-04-05 | 浙江大学 | Converter grid-connected system stability improving method based on admittance shaping range |
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Application publication date: 20180907 |