CN114511418A - Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply - Google Patents
Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply Download PDFInfo
- Publication number
- CN114511418A CN114511418A CN202210143031.7A CN202210143031A CN114511418A CN 114511418 A CN114511418 A CN 114511418A CN 202210143031 A CN202210143031 A CN 202210143031A CN 114511418 A CN114511418 A CN 114511418A
- Authority
- CN
- China
- Prior art keywords
- node
- voltage
- positive sequence
- sequence
- positive
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 238000000034 method Methods 0.000 title claims abstract description 82
- 239000011159 matrix material Substances 0.000 claims abstract description 49
- 238000004364 calculation method Methods 0.000 claims abstract description 36
- 230000002194 synthesizing effect Effects 0.000 claims abstract description 11
- 230000003321 amplification Effects 0.000 claims abstract description 4
- 238000003199 nucleic acid amplification method Methods 0.000 claims abstract description 4
- 239000000126 substance Substances 0.000 claims description 8
- 150000001875 compounds Chemical class 0.000 claims description 3
- 238000009795 derivation Methods 0.000 claims description 3
- 230000016507 interphase Effects 0.000 claims description 3
- 238000003745 diagnosis Methods 0.000 abstract description 3
- 230000008901 benefit Effects 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 230000035699 permeability Effects 0.000 description 3
- 230000008569 process Effects 0.000 description 2
- 230000003416 augmentation Effects 0.000 description 1
- 238000004422 calculation algorithm Methods 0.000 description 1
- 229910052799 carbon Inorganic materials 0.000 description 1
- 230000008859 change Effects 0.000 description 1
- 238000010835 comparative analysis Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 230000005611 electricity Effects 0.000 description 1
- 230000006870 function Effects 0.000 description 1
- OIGNJSKKLXVSLS-VWUMJDOOSA-N prednisolone Chemical compound O=C1C=C[C@]2(C)[C@H]3[C@@H](O)C[C@](C)([C@@](CC4)(O)C(=O)CO)[C@@H]4[C@@H]3CCC2=C1 OIGNJSKKLXVSLS-VWUMJDOOSA-N 0.000 description 1
- 230000001360 synchronised effect Effects 0.000 description 1
Images
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
- G06Q50/00—Systems or methods specially adapted for specific business sectors, e.g. utilities or tourism
- G06Q50/06—Electricity, gas or water supply
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
- G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H1/00—Details of emergency protective circuit arrangements
- H02H1/0007—Details of emergency protective circuit arrangements concerning the detecting means
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H1/00—Details of emergency protective circuit arrangements
- H02H1/0092—Details of emergency protective circuit arrangements concerning the data processing means, e.g. expert systems, neural networks
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
- H02H7/26—Sectionalised protection of cable or line systems, e.g. for disconnecting a section on which a short-circuit, earth fault, or arc discharge has occured
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/10—Power transmission or distribution systems management focussing at grid-level, e.g. load flow analysis, node profile computation, meshed network optimisation, active network management or spinning reserve management
Abstract
The method for calculating the short-circuit current of the distribution network containing the inverter type distributed power supply comprises the following steps: step 1: establishing an output characteristic equation of the distributed power supply, a node admittance matrix of the network and a fault point boundary condition; step 2: on the basis of the step 1, circularly calculating by using a linear iteration method; and step 3: on the basis of the steps 1 and 2, performing second-order convergence iterative calculation based on a Newton-Raphson principle and a positive sequence amplification network node voltage equation, and calculating to obtain each node voltage and branch current of a positive sequence network; and 4, step 4: and (3) calculating the node voltage and the branch current of the negative sequence zero sequence network based on the calculation result of the step (3) and by combining the fault point boundary condition of the step (1), synthesizing the fault node phase voltage and the branch fault current of the power distribution network by using a symmetric component method, and outputting a result. The method provides reference basis for power distribution network fault location, fault diagnosis and the like through accurate short circuit calculation results.
Description
Technical Field
The invention relates to the field of grid-connected short circuit calculation of an inverter type distributed power supply, in particular to a second-order convergence iteration method for short circuit calculation of a power distribution network containing the inverter type distributed power supply.
Background
With the proposal of national double-carbon targets, the permeability of Distributed power supplies is higher and higher, more and more Inverter-type Distributed power supplies (IIDG) are connected to an active power distribution network, and the fault current of the IIDG is more and more important in the calculation of the short-circuit current of the power distribution network. In the calculation of the short-circuit current of the power grid, the short-circuit current cannot be simply ignored or the output current of the short-circuit current cannot be replaced by 1.2 times of rated current.
In a power grid, an inverter type distributed power supply is merged into the power grid by means of power electronic devices, the amplitude of output current of the inverter type distributed power supply is controlled, the phase of the output current is controlled, so that the fault current characteristic of the inverter type distributed power supply is greatly different from that of a traditional alternating current synchronous generator, and a complex nonlinear relation exists between the output current of the inverter type distributed power supply and the voltage of a grid-connected point.
Meanwhile, with the development of a novel double-high power system, the traditional power distribution network gradually develops into an active power distribution network with an active control function, the original single-power-supply less annular network is used as a distribution network, the original single-power-supply less annular network is changed into a multi-power-supply multi-loop network, and the size and the direction of short-circuit current can also be changed. The change of the short-circuit current can affect the relay protection of the power distribution network, possibly causes the false operation of the relay protection, and the relay protection fixed value needs to be reset according to the calculation result of the short-circuit current of the power distribution network containing the distributed power supply.
For the above problems, some current methods use a linear iteration method based on a node impedance matrix to calculate the short-circuit current, and as the scale of the power grid is enlarged and the permeability of the distributed power supply is increased, the method comprises the following steps: (1) the iterative convergence is reduced, and the convergence speed is too low; (2) the nodal impedance matrix is difficult to form and as a full matrix, the demand on system computational memory increases. Therefore, under the background of increasing the permeability of new energy in the future, the existing linear iteration method based on the node impedance matrix is not suitable for short-circuit current calculation of a large-scale power grid in the future.
Disclosure of Invention
Aiming at the problems, the invention provides a method for calculating the short-circuit current of a power distribution network containing an inverter type distributed power supply.
The technical scheme of the invention is as follows: the method comprises the following steps:
step 1: establishing an output characteristic equation of the distributed power supply, a node admittance matrix of the network and a fault point boundary condition;
step 2: on the basis of the step 1, calculating by using a linear iteration method to obtain positive sequence voltages of all nodes and phase angles of the positive sequence voltages of all nodes;
and step 3: on the basis of the steps 1 and 2, performing second-order convergence iterative calculation based on a Newton-Raphson principle and a positive sequence amplification network node voltage equation, and calculating to obtain each node voltage and branch current of a positive sequence network;
and 4, step 4: and (3) calculating the node voltage and the branch current of the negative sequence zero sequence network based on the calculation result of the step (3) and by combining the fault point boundary condition of the step (1), synthesizing the fault node phase voltage and the branch fault current of the power distribution network by using a symmetric component method, and outputting a result.
The step 1 comprises the following steps:
1.1, establishing an equation of the port output characteristic of the IIDG in the low voltage ride through period
1.2, establishing node branch incidence matrix A of each sequence networki(i ═ 1,2,0) and original branch admittance matrix(i-1, 2,0), according toEstablishing node admittance matrix Y of each sequence network1 i(i=1,2,0);
The step 2 comprises the following steps:
2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1U+=I+To obtain the normal component of positive sequence voltage of each node
2.3 substituting into the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iteration (i=1,2,0);
2.4 according toCalculating the voltage of each sequence considering the IIDG short-circuit current(i=1,2,0);
2.5 according to the new node positive sequence voltage formulaUpdating the positive sequence current value of the IIDG outputReturning to the step 2.2 for recalculation, and circulating for 2 times in total;
2.6 outputting the positive sequence voltage U of each node(1)And phase angle theta of positive sequence voltage of each node(1)。
The step 3 comprises the following steps:
3.1, connecting the negative sequence zero sequence network as a whole to the positive as equivalent impedanceIn the sequence network, a positive sequence network node voltage equation at the moment is establishedAnd simplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed;
3.2, carrying out derivation on the nonlinear equation set F to obtain a Jacobi matrix J;
3.3, will be the positive sequence voltageAnd phase angleSubstituting into the nonlinear equation set F and the Jacobi matrix J to obtain the unbalance amount Delta F of the equation set at the moment(k)And each element value in the Jacobi matrix J;
3.5, judging whether the iteration error is established or not, and if so, outputting a new positive sequence voltage at the momentAnd phase angleOtherwise, return to step 3.3.
The step 4 comprises the following steps:
4.1 solving the positive sequence current of the fault pointAnd according to the boundary condition f of the fault point and the node voltage equation Y of the negative sequence zero sequence network1 iUi=Ii(i is 2,0) solving the negative sequence zero sequence voltage of each node;
4.2, synthesizing three-phase voltage of each node according to a symmetrical component method;
and 4.3, finishing the calculation.
In step 1.1, an equation of port output characteristics of the IIDG during low voltage ride through is established
Wherein, INA rated current value of the inverter; theta is a positive sequence voltage phase angle of a grid-connected point; u shape(1)Is the per unit value of the positive sequence voltage of the grid-connected point;
step 1.3, establishing fault point boundary conditions according to fault typesWhen the single-phase grounding short circuit occurs, the positive and negative zero sequence voltage currents of the fault point satisfy the following relation:
in the formula (I), the compound is shown in the specification,positive and negative zero sequence voltages of a fault point are respectively;positive and negative zero sequence currents of fault points are respectively.
In step 2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1 1U+=I+To obtain the normal component of positive sequence voltage of each node
Wherein, Y1 1A node admittance matrix for the positive sequence network; zSIs the system impedance;is the positive sequence current output by the distributed power supply.
Step 2.3, substituting the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iteration(i ═ 1,2,0), the positive sequence current solving formulas under the single-phase short circuit, the two-phase interphase short circuit and the two-phase grounding short circuit are respectively as follows:
wherein the content of the first and second substances,the normal component value of the positive sequence voltage of the fault point is obtained; z∑1、Z∑2、Z∑0Positive and negative zero sequence equivalent impedances respectively; y is1 i(i is 1,2,0) is a positive and negative zero sequence network node admittance matrix respectively;(i is 1,2,0) is a positive and negative zero sequence voltage fault component of the node;and (i is 1,2 and 0) is the positive and negative zero sequence current of the fault point.
In step 2.6, positive sequence voltage U of each node is output(1)And phase angle theta of positive sequence voltage of each node(1):
Wherein, U(1)For positive sequence voltage of each node, theta(1)Is the phase angle of the positive sequence voltage of each node.
Step 3.1, connecting the negative sequence zero sequence network as a whole in a positive sequence network as equivalent impedance, and establishing a node voltage equation of the positive sequence network at the momentSimplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed as follows:
wherein f is a fault point; zsIs the system impedance;injecting a positive sequence current of the positive sequence network into the IIDG;
in this case, F is a positive sequence voltage containing each nodeAnd phase angleA 2 n-dimensional nonlinear system of equations.
In step 3.2, the nonlinear equation set F is derived to obtain a Jacobi matrix J, and the Jacobi matrix J is set
For non-IIDG access nodes:
for an IIDG access node:
then:
in step 3.3, the positive sequence voltage is appliedAnd phase angleSubstituting the obtained data into a nonlinear equation set F and a Jacobi matrix J to obtain the unbalance amount delta F of the equation set at the moment(k)And the values of the elements in the Jacobi matrix J:
wherein the content of the first and second substances,the positive sequence voltage and phase angle for the kth iteration of each node.
In step 3.4, according toSolving for a new positive sequence node voltageAnd positive sequence voltage phase angle
In step 3.5, judging whether the iteration error meets the precision requirement, and if so, outputting the new positive sequence node voltage at the momentAnd positive sequence voltage phase angleOtherwise, returning to the step 3.3;
wherein the iteration error is
In step 4.1, the positive sequence current of the fault point is solvedAnd according to the boundary condition f of the fault point and the node voltage equation Y of the negative sequence zero sequence network1 iUi=Ii(i is 2,0) solving the negative sequence zero sequence voltage of each node;
wherein the content of the first and second substances,positive sequence voltage and phase angle for fault adjacent node;positive sequence voltage and phase angle for fault point; y is(f-1)fAdmittance of the line between the two; y is1 i(i is 2,0) is a negative sequence zero sequence network node admittance matrix respectively;(i is 2,0) is a positive and negative zero sequence voltage fault component of the node;and (i is 2,0) is the fault point negative sequence zero sequence current.
Step 4.2, synthesizing three-phase voltage of each node according to a symmetrical component method;
Compared with the current linear iteration short circuit calculation method, the method has the following advantages: (1) the advantage of sparsity of the node admittance matrix is fully utilized, the requirement of calculation on a memory is reduced, and the calculation speed is improved; (2) the method is based on the Newton-Raphson principle, so that the method has the characteristic of second-order convergence, and the convergence speed is greatly improved.
According to the invention, reference basis is provided for power distribution network fault positioning, fault diagnosis, selection of distribution network equipment, distribution network relay protection, reclosing, short circuit level control and the like through an accurate short circuit calculation result.
Drawings
FIG. 1 is a logic diagram of a second-order convergence iteration method including short-circuit calculation of an inverter type distributed power distribution network in the method of the invention;
FIG. 2 is a diagram of a grid architecture used in the method of the present invention;
fig. 3 is a comparative analysis diagram of the second-order convergence iteration and linear iteration convergence speed of the inverter-type distributed power distribution network short-circuit calculation included in the method.
Detailed Description
The following detailed description of embodiments of the present invention is provided in connection with the accompanying drawings and examples.
The invention provides a second-order convergence iteration method for short circuit calculation of a distribution network containing an inverter type distributed power supply, which is carried out by an iteration method based on a Newton-Raphson principle. The present invention will be described in detail with reference to the accompanying drawings.
The invention comprises the following steps:
step 1: establishing an output characteristic equation of the distributed power supply, a node admittance matrix of the network and boundary conditions of fault points, and providing preconditions of short circuit calculation for the steps 2 and 3;
step 2: on the basis of the step 1, circularly calculating for 2-3 times by using a linear iteration method, calculating to obtain positive sequence voltages of all nodes and phase angles of the positive sequence voltages of all nodes, and providing an initial value condition for the step 3;
and step 3: on the basis of the steps 1 and 2, performing second-order convergence iterative calculation based on a Newton-Raphson principle and a positive sequence amplification network node voltage equation, and calculating to obtain each node voltage and branch current of a positive sequence network;
and 4, step 4: and (3) calculating the node voltage and the branch current of the negative sequence zero sequence network based on the calculation result of the step (3) and by combining the fault point boundary condition of the step (1), synthesizing the fault node phase voltage and the branch fault current of the power distribution network by using a symmetric component method, and outputting a result.
The distributed power supply is equivalent to a controlled current source, the positive sequence output current of the controlled current source and the positive sequence voltage of the terminal of the controlled current source are in a nonlinear relation, a positive sequence augmentation network node voltage equation reflecting the fault type is established, a second-order convergence fast iterative algorithm adapting to the nonlinear relation of the distributed power supply is provided based on the Newton-Raphson principle, and accurate node voltages and branch currents are obtained through calculation. The method is based on the Newton-Raphson principle and the symmetric component method, the defect that the traditional IIDG power grid short circuit calculation convergence is slow is overcome, the accuracy of the calculation result is improved, and the working reliability of the power distribution network is improved.
As shown in fig. 1, the method specifically comprises the following steps:
the step 1 comprises the following steps: 1.1, establishing an equation of the port output characteristic of the IIDG in the low voltage ride through periodNamely, the functional relation between the positive sequence current output by the distributed power supply during the short-circuit fault of the power distribution network and the positive sequence voltage of the grid-connected point of the distributed power supply;
1.2, establishing node branch incidence matrix A of each sequence networki(i ═ 1,2,0) and original branch admittance matrix(i ═ 1,2,0) according toEstablishing node admittance matrix Y of each sequence network1 i(i=1,2,0);
The step 2 comprises the following steps: 2.1 setting initial positive sequence output current value of IIDGGenerally given as 0; because the initial voltage value is not sensitive to the initial positive output value of the IIDG in the process of selecting the initial voltage value for the subsequent second-order iteration, the initial voltage value can be generally 0;
2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1U+=I+To obtain the normal component of positive sequence voltage of each node
2.3 substituting into the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iteration (i=1,2,0);
2.4 according toCalculating the voltage of each sequence considering the IIDG short-circuit current(i=1,2,0);
2.5 according to the new node positive sequence voltage formulaUpdating the positive sequence current value of the IIDG outputReturning to the step 2.2 for recalculation, and circulating for 2-3 times in total;
2.6 outputting the positive sequence voltage U of each node(1)And phase angle theta of positive sequence voltage of each node(1)。
And (3) equating the distributed power supply in a normal network by using the superposition theorem in the step 2.
The step 3 comprises the following steps: 3.1, connecting the negative sequence zero sequence network as a whole in a positive sequence network as equivalent impedance, and establishing a node voltage equation of the positive sequence network at the momentAnd simplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed;
3.2, carrying out derivation on the nonlinear equation set F to obtain a Jacobi matrix J;
3.3, will be the positive sequence voltageAnd phase angleSubstituting into the nonlinear equation set F and the Jacobi matrix J to obtain the unbalance amount Delta F of the equation set at the moment(k)And each element value in the Jacobi matrix J;
3.5, judging iteration errorsIf yes, outputting the new positive sequence voltageAnd phase angleOtherwise, return to step 3.3.
In the step 3, the node positive sequence voltage is in a polar coordinate form, because the positive sequence network node voltage equation is an equation set with the positive sequence voltage amplitude and the phase angle as unknowns, for the positive sequence network, if the positive sequence network node voltage equation contains N nodes, the positive sequence network node voltage equation contains 2N unknowns (N node positive sequence voltage amplitudes and N node positive sequence voltage phase angles) and also has 2N equations (N real parts and N imaginary parts), because the distributed power supply causes network nonlinearity, an iteration method is required to be applied for solving, and the fast convergence of calculation can be realized by using the iteration method with the second-order convergence characteristic.
4.2, synthesizing three-phase voltage of each node according to a symmetrical component method;
and 4.3, finishing the calculation.
In step 1.1, an equation of port output characteristics of the IIDG during low voltage ride through is established
Wherein, INA rated current value of the inverter; theta is a positive sequence voltage phase angle of a grid-connected point; u shape(1)Is the per unit value of the positive sequence voltage of the grid-connected point;
and 4, on the basis of the positive sequence voltage of each node obtained in the step 3, obtaining the positive sequence current of a fault point, obtaining the negative sequence current and the zero sequence current on the basis of the boundary condition of the fault point, for example, under the condition of single-phase grounding, the negative sequence zero sequence current is equal to the positive sequence current, obtaining the voltage of each node in the negative sequence zero sequence network and the branch current at the moment, and finally, uniformly synthesizing the node voltage phase component and the branch current phase component by using a symmetrical component method.
Step 1.3, according to the fault type, establishing fault point boundary conditionWhen the single-phase grounding short circuit occurs, the positive and negative zero sequence voltage currents of the fault point satisfy the following relation:
in the formula (I), the compound is shown in the specification,positive and negative zero sequence voltages of a fault point are respectively;positive and negative zero sequence currents of fault points are respectively.
In step 2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1 1U+=I+To obtain the normal component of positive sequence voltage of each node
Wherein, Y1 1A node admittance matrix for the positive sequence network; zSIs the system impedance;is the positive sequence current output by the distributed power supply.
Step 2.3, substituting the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iteration(i ═ 1,2,0), the positive sequence current solving formulas under the single-phase short circuit, the two-phase interphase short circuit and the two-phase grounding short circuit are respectively as follows:
wherein the content of the first and second substances,the normal component value of the positive sequence voltage of the fault point is obtained; z∑1、Z∑2、Z∑0Positive and negative zero sequence equivalent impedances respectively; y is1 i(i is 1,2,0) is a positive and negative zero sequence network node admittance matrix respectively;(i is 1,2,0) is a positive and negative zero sequence voltage fault component of the node;and (i is 1,2 and 0) is the positive and negative zero-sequence current of the fault point.
In step 2.6, positive sequence voltage U of each node is output(1)And phase angle theta of positive sequence voltage of each node(1):
Wherein, U(1)For positive sequence voltage of each node, theta(1)Is the phase angle of the positive sequence voltage of each node.
Step 3.1, connecting the negative sequence zero sequence network as a whole in a positive sequence network as equivalent impedance, and establishing a node voltage equation of the positive sequence network at the momentSimplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed as follows:
wherein f is a fault point; zsIs the system impedance;injecting a positive sequence current of the positive sequence network into the IIDG;
in this case, F is a positive sequence voltage containing each nodeAnd phase angleA 2 n-dimensional nonlinear system of equations.
In step 3.2, the nonlinear equation set F is derived to obtain a Jacobi matrix J, and the Jacobi matrix J is set
For non-IIDG access nodes:
for an IIDG access node:
then:
in step 3.3, the positive sequence voltage is appliedAnd phase angleSubstituting into the nonlinear equation set F and the Jacobi matrix J to obtain the unbalance amount Delta F of the equation set at the moment(k)And the values of the elements in the Jacobi matrix J:
wherein the content of the first and second substances,the positive sequence voltage and phase angle for the kth iteration of each node.
In step 3.4, according toSolving for a new positive sequence node voltageAnd positive sequence voltage phase angle
In step 3.5, judging whether the iteration error meets the precision requirement, and if so, outputting the new positive sequence node electricity at the momentPress and pressAnd positive sequence voltage phase angleOtherwise, returning to the step 3.3;
wherein the iteration error is
In the formula, epsilon is the precision requirement of iterative computation and can be set by people.
In step 4.1, the positive sequence current of the fault point is solvedAnd according to the boundary condition f of the fault point and the node voltage equation Y of the negative sequence zero sequence network1 iUi=Ii(i is 2,0) solving the negative sequence zero sequence voltage of each node;
wherein the content of the first and second substances,positive sequence voltage and phase angle for fault adjacent node;positive sequence voltage and phase angle for fault point; y is(f-1)fAdmittance of the line between the two; y is1 i(i is 2,0) is a negative sequence zero sequence network node admittance matrix respectively;(i is 2,0) is a positive and negative zero sequence voltage fault component of the node;and (i is 2,0) is the fault point negative sequence zero sequence current.
Step 4.2, synthesizing three-phase voltages of each node according to a symmetrical component method;
The structure of the power grid is shown in fig. 2, and the power grid comprises 32 branches and 33 nodes, wherein a red node is a distributed power supply access node, the power supply voltage is 12.66kV, and the system impedance is Zs=2+j2(Ω)
The convergence rates of the second-order convergence iteration method containing the inverter type distributed power distribution network short circuit calculation and the existing linear iteration method are shown in the attached figure 3.
The process of the present invention is illustrated below by means of specific examples. The structural parameters of the power grid are shown in table 1.
TABLE 1 Power grid architecture parameters
The network comprises 32 branches and 33 nodes, and the reactance and resistance of each branch are shown in the table. The power supply voltage is 12.66kV, and the system impedance is Z s2+ j2 (omega), a short-circuit point is set as node No. 25, and the iteration precision requirement is that epsilon is 1e-9Mesh, netThe net voltage reference is 12.66kV, and the power reference is 10 MVA.
Distributed power supplies are arranged at nodes 19, 20, 21, 22, 26, 27, 28, 29, 30 and 31, the rated capacity of each distributed power supply is 0.2MVA, the second-order convergence iteration provided by the invention can meet the convergence precision requirement only by 5 times, while the existing linear iteration method can meet the convergence precision requirement only by 14 times, and the convergence speed is compared with that shown in figure 3.
The invention provides an iteration method based on a Newton-Raphson principle (namely a Newton-Raphson iteration method), and fully utilizes the advantage of sparsity of a node admittance matrix, and the convergence speed and the calculation speed of the iteration method are far superior to those of the existing linear iteration short circuit calculation methods. Therefore, reference basis is provided for power distribution network fault positioning, fault diagnosis, selection of distribution network equipment, distribution network relay protection, reclosing, short circuit level control and the like through accurate short circuit calculation results. Therefore, the research on the calculation of the short-circuit current of the power distribution network with the distributed power supply has important practical significance.
Claims (17)
1. The method for calculating the short-circuit current of the distribution network containing the inverter type distributed power supply comprises the following steps:
step 1: establishing an output characteristic equation of the distributed power supply, a node admittance matrix of the network and a fault point boundary condition;
step 2: on the basis of the step 1, calculating by using a linear iteration method to obtain positive sequence voltages of all nodes and phase angles of the positive sequence voltages of all nodes;
and step 3: on the basis of the steps 1 and 2, performing second-order convergence iterative calculation based on a Newton-Raphson principle and a positive sequence amplification network node voltage equation, and calculating to obtain each node voltage and branch current of a positive sequence network;
and 4, step 4: and (3) calculating the node voltage and the branch current of the negative sequence zero sequence network based on the calculation result of the step (3) and by combining the fault point boundary condition of the step (1), synthesizing the fault node phase voltage and the branch fault current of the power distribution network by using a symmetric component method, and outputting a result.
2. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 1, wherein the method comprises the following steps: the step 1 comprises the following steps:
1.1, establishing an equation of the port output characteristic of the IIDG in the low voltage ride through period
1.2, establishing node branch incidence matrix A of each sequence networki(i ═ 1,2,0) and original branch admittance matrix According toEstablishing node admittance matrix of each sequence network
3. The method for calculating the short-circuit current of the distribution network with the inverter type distributed power supply as claimed in claim 1, wherein the method comprises the following steps: the step 2 comprises the following steps:
2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1 U+=I+To obtain the normal component of positive sequence voltage of each node
2.3 substituting into the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iteration
2.5 according to the new node positive sequence voltage formulaUpdating the positive sequence current value of the IIDG outputReturning to the step 2.2 for recalculation, and circulating for 2 times in total;
2.6 outputting the positive sequence voltage U of each node(1)And phase angle theta of positive sequence voltage of each node(1)。
4. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 1, wherein the method comprises the following steps: the step 3 comprises the following steps:
3.1, connecting the negative sequence zero sequence network as a whole in a positive sequence network as equivalent impedance, and establishing a node voltage equation of the positive sequence network at the momentAnd simplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed;
3.2, carrying out derivation on the nonlinear equation set F to obtain a Jacobi matrix J;
3.3, will be the positive sequence voltageAnd phase angleSubstituting into the nonlinear equation set F and the Jacobi matrix J to obtain the unbalance amount Delta F of the equation set at the moment(k)And each element value in the Jacobi matrix J;
5. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 1, wherein the method comprises the following steps: the step 4 comprises the following steps:
4.1 solving the positive sequence current of the fault pointAnd according to the boundary condition f of the fault point and the node voltage equation Y of the negative sequence zero sequence network1 iUi=Ii(i is 2,0) solving the negative sequence zero sequence voltage of each node;
4.2, synthesizing three-phase voltage of each node according to a symmetrical component method;
and 4.3, finishing the calculation.
6. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 2, wherein the method comprises the following steps: in step 1.1, an equation of port output characteristics of the IIDG during low voltage ride through is established
Wherein, INA rated current value of the inverter; theta is a positive sequence voltage phase angle of a grid-connected point; u shape(1)Is the per unit value of the positive sequence voltage of the grid-connected point;
7. the method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 2, wherein the method comprises the following steps: step 1.3, establishing fault point boundary conditions according to fault typesWhen the single-phase grounding short circuit occurs, the positive and negative zero sequence voltage currents of the fault point satisfy the following relation:
8. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 3, wherein the method comprises the following steps: in step 2.2, substituting the positive sequence output current value of the IIDG into the positive sequence network node voltage equation Y1 1U+=I+To obtain the normal component of positive sequence voltage of each node
9. Short-circuit power supply containing inverter type distributed power supply distribution network according to claim 3A flow calculation method, characterized by: step 2.3, substituting the positive sequence current solving formula to obtain the positive sequence current of the short circuit pointSimultaneous fault point boundary condition f and node voltage equation Y of each sequence network1 iUi=Ii(i is 1,2,0) solving the positive and negative zero sequence voltage fault components of each node after the iterationThe positive sequence current solving formulas under the conditions of single-phase short circuit, two-phase interphase short circuit and two-phase grounding short circuit are respectively as follows:
wherein the content of the first and second substances,the normal component value of the positive sequence voltage of the fault point is obtained; z∑1、Z∑2、Z∑0Positive and negative zero sequence equivalent impedances respectively; y is1 i(i is 1,2,0) is a positive and negative zero sequence network node admittance matrix respectively;the fault components of positive and negative zero sequence voltages of the nodes are obtained;positive and negative zero sequence currents of fault points.
10. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 3, wherein the method comprises the following steps: in step 2.6, positive sequence voltage U of each node is output(1)And phase angle theta of positive sequence voltage of each node(1):
Wherein, U(1)For positive sequence voltage of each node, theta(1)Is the phase angle of the positive sequence voltage of each node.
11. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 4, wherein the method comprises the following steps: step 3.1, connecting the negative sequence zero sequence network as a whole in a positive sequence network as equivalent impedance, and establishing a node voltage equation of the positive sequence network at the momentSimplifying the positive sequence network node voltage equation intoAnd the real part and the imaginary part of each equation are listed as follows:
wherein f isA fault point; zsIs the system impedance;injecting a positive sequence current of the positive sequence network into the IIDG;
in this case, F is the positive sequence voltage U containing each nodei (1)And phase angle thetai (1)A 2 n-dimensional nonlinear system of equations.
12. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 4, wherein the method comprises the following steps: in step 3.2, the nonlinear equation set F is derived to obtain a Jacobi matrix J, and the Jacobi matrix J is setYij=Gij+jBij
For non-IIDG access nodes:
for an IIDG access node:
then:
13. the method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 4, wherein the method comprises the following steps: in step 3.3, the positive sequence voltage is appliedAnd phase angleSubstituting into the nonlinear equation set F and the Jacobi matrix J to obtain the unbalance amount Delta F of the equation set at the moment(k)And the values of the elements in the Jacobi matrix J:
14. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 4, wherein the method comprises the following steps: in step 3.4, according toSolving for a new positive sequence node voltageAnd positive sequence voltage phase angle
15. The method for calculating the short-circuit current of the distribution network with the inverter type distributed power supply as claimed in claim 4, wherein the method comprises the following steps: in step 3.5, judging whether the iteration error meets the precision requirement, and if so, outputting the new positive sequence node voltage at the momentAnd positive sequence voltage phase angleOtherwise, returning to the step 3.3;
wherein the iteration error is
16. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 5, wherein the method comprises the following steps: in step 4.1, the positive sequence current of the fault point is solvedAnd according to the boundary condition f of the fault point and the node voltage equation Y of the negative sequence zero sequence network1 iUi=Ii(i is 2,0) solving the negative sequence zero sequence voltage of each node;
wherein the content of the first and second substances,positive sequence voltage and phase angle for fault adjacent node;positive sequence voltage and phase angle for fault point; y is(f-1)fAdmittance of the line between the two; y is1 i(i is 2,0) is a negative sequence zero sequence network node admittance matrix respectively;the fault components of positive and negative zero sequence voltages of the nodes are obtained;is the negative sequence zero sequence current of the fault point.
17. The method for calculating the short-circuit current of the distribution network with the inverter-type distributed power supply according to claim 5, wherein the method comprises the following steps: step 4.2, synthesizing three-phase voltages of each node according to a symmetrical component method;
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202210143031.7A CN114511418A (en) | 2022-02-16 | 2022-02-16 | Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202210143031.7A CN114511418A (en) | 2022-02-16 | 2022-02-16 | Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply |
Publications (1)
Publication Number | Publication Date |
---|---|
CN114511418A true CN114511418A (en) | 2022-05-17 |
Family
ID=81552615
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202210143031.7A Pending CN114511418A (en) | 2022-02-16 | 2022-02-16 | Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN114511418A (en) |
Cited By (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN116522043A (en) * | 2023-06-27 | 2023-08-01 | 中国电力科学研究院有限公司 | Short circuit current calculation method and device |
-
2022
- 2022-02-16 CN CN202210143031.7A patent/CN114511418A/en active Pending
Cited By (2)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
CN116522043A (en) * | 2023-06-27 | 2023-08-01 | 中国电力科学研究院有限公司 | Short circuit current calculation method and device |
CN116522043B (en) * | 2023-06-27 | 2023-10-03 | 中国电力科学研究院有限公司 | Short circuit current calculation method and device |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
CN111625914A (en) | Short-circuit current calculation method and system | |
CN106066918B (en) | Short-circuit current calculation method containing distributed power supply and nonlinear load | |
CN103094900B (en) | Distributed generation power distribution network three-phase load flow calculation method taking phase sequence mixing method into consideration | |
CN105162099B (en) | A kind of computing Surface Method for determining distributed power generation access power network unsymmetrical short-circuit electric current | |
CN107121604B (en) | A kind of unsymmetrical short-circuit current dc component damping time constant acquisition methods | |
CN106446458A (en) | Weakly looped power distribution network load flow calculation method considering distributed power supplies | |
CN112255567B (en) | Short-circuit current rapid determination method for power distribution network containing photovoltaic power supply | |
CN110880764B (en) | Fault processing method for unbalanced distribution network containing inversion type distributed power supply | |
CN111668843A (en) | Low-voltage distribution network three-phase load flow calculation method based on phase sequence mixing method | |
CN108090244B (en) | Parallel lithium ion battery system modeling method | |
CN114511418A (en) | Method for calculating short-circuit current of power distribution network containing inverter type distributed power supply | |
CN113514731B (en) | Short-circuit current determining method for unbalanced distribution network containing inversion type power supply | |
CN105095590A (en) | Method for modeling of electromechanical transient simulation system based on three-sequence equivalent impedance | |
CN112072692A (en) | Impedance equivalence method and device for new energy power generation station | |
CN109149583A (en) | Active power distribution network is succinctly pushed forward back substitution tidal current computing method | |
Segura et al. | Generalised single-equation load flow method for unbalanced distribution systems | |
CN114188945B (en) | Method and device for calculating short-circuit current of power distribution network containing photovoltaic power supply | |
CN107436995B (en) | Equivalent three-phase short circuit calculation method considering external network to ground branch and sensitivity information | |
CN111900738B (en) | Three-phase unbalanced load flow calculation method based on compensation algorithm | |
Olamaei et al. | An efficient method for load flow analysis of distribution networks including PV nodes | |
CN105305392A (en) | Symmetrical component method for short circuit calculation of voltage-controlled type IIDG included power distribution network | |
Yang et al. | Three-phase power flow calculations using initial voltage estimation method for unbalanced distribution networks | |
Yang et al. | Power flow calculation for unbalanced three-phase distribution network with DGs based on phase-sequence hybrid modeling | |
CN114884094A (en) | Method, system, equipment and medium for monitoring impedance characteristics of wind power plant | |
CN110456223B (en) | Method for measuring and calculating short-circuit current of power distribution network containing distributed power supply and electric automobile |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination |