CN109314391B - Power compensation type global linear eccentricity method for obtaining DC power network tide - Google Patents
Power compensation type global linear eccentricity method for obtaining DC power network tide Download PDFInfo
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Abstract
A power compensation type global linear eccentricity method for obtaining a power flow of a direct current power network comprises the steps of firstly establishing a power compensation type global linear relation (101) of node injection power relative to node translation voltage according to node load parameters and node power supply parameters in the direct current power network; then, a power compensation type global linear eccentric model (102) of the power flow in the direct-current power network is established according to the power compensation type global linear relation and the reference node number; then, according to the power compensation type global linear eccentricity model, a power compensation type global linear eccentricity matrix relational expression (103) of the translation voltage of the non-reference node relative to the injection power of the non-reference node is established by using an inverse matrix; finally, according to the power compensation type global linear eccentricity matrix relation and the reference node translation voltage value, calculating the voltage value of each node and the transmission power value of each branch in the direct current power network (104); the method has the advantages of small calculated amount, no convergence problem and high precision when the running state of the direct current power grid is changed in a large range.
Description
Technical Field
The invention relates to the field of electric power engineering, in particular to a power compensation type global linear eccentricity method for obtaining power flow of a direct-current power network.
Background
At present, the technical and economic advantages of direct current transmission are rapidly promoting the construction and development of direct current power networks. As a power flow acquisition method for a direct current power network regulation and control foundation, a rapid, reliable and accurate global linear power flow model and a calculation method are in urgent need of development.
The existing method for acquiring the power flow of the direct current power network is to establish a nonlinear node power balance equation set model and then solve the nonlinear node power balance equation set model by using an iteration method. Due to the nonlinearity of the node power balance equation set model, the method has the advantages of large iteration calculation amount and low speed, and the problems of iteration non-convergence or unreliable convergence can occur, so that the method is difficult to adapt to the operation requirement of the direct current power network which can be regulated and controlled based on the power flow solution. If a local linear power flow model based on operation base point linearization is adopted, the requirement on the regulation and control precision when the operation state of the direct current power grid changes in a large range cannot be met. Therefore, the existing method for acquiring the power flow of the direct current power network has the problems of low calculation speed and unreliable convergence or is not suitable for the wide range change of the running state of the direct current power network.
Disclosure of Invention
The embodiment of the invention provides a power compensation type global linear eccentricity method for obtaining the power flow of a direct current power network, which can realize the rapid and reliable obtaining of the power flow of the direct current power network and is suitable for the large-range change of the running state of the direct current power network.
The invention provides a power compensation type global linear eccentricity method for obtaining power flow of a direct current power network, which comprises the following steps:
establishing a power compensation type global linear relation of node injection power relative to node translation voltage according to known node load parameters and node power supply parameters in a direct current power grid;
establishing a power compensation type global linear eccentric model of the power flow in the direct-current power network according to the power compensation type global linear relation and the known reference node number;
establishing a power compensation type global linear eccentricity matrix relation of the translation voltage of the non-reference node relative to the injection power of the non-reference node by using an inverse matrix according to the power compensation type global linear eccentricity model;
and calculating the voltage value of each node and the transmission power value of each branch in the direct current power network according to the power compensation type global linear eccentricity matrix relation and the known reference node translation voltage value.
According to the embodiment of the invention, a power compensation type global linear relation of node injection power relative to node translation voltage is established according to known node load parameters and node power supply parameters in a direct current power network; then, a power compensation type global linear eccentric model of the power flow in the direct-current power network is established according to the power compensation type global linear relation and the known reference node number; establishing a power compensation type global linear eccentricity matrix relation of the translation voltage of the non-reference node relative to the injection power of the non-reference node by using an inverse matrix according to a power compensation type global linear eccentricity model; finally, according to the power compensation type global linear eccentricity matrix relation and the known reference node translation voltage value, calculating the voltage value of each node and the transmission power value of each branch in the direct current power network; because iterative calculation is not needed, the calculation amount is small, the convergence problem does not exist, and the precision is high when the running state of the direct current power grid is changed in a large range.
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In order to more clearly illustrate the technical solutions of the embodiments of the present invention, the drawings needed to be used in the description of the embodiments are briefly introduced below, and it is obvious that the drawings in the following description are some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
Fig. 1 is a flowchart of an implementation of a power compensation type global linear eccentricity method for obtaining a power flow of a dc power network according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a general model of a dc power grid according to an embodiment of the present invention.
Detailed Description
In the following description, for purposes of explanation and not limitation, specific details are set forth, such as particular system structures, techniques, etc. in order to provide a thorough understanding of the embodiments of the invention. It will be apparent, however, to one skilled in the art that the present invention may be practiced in other embodiments that depart from these specific details. In other instances, detailed descriptions of well-known systems, devices, circuits, and methods are omitted so as not to obscure the description of the present invention with unnecessary detail.
In order to explain the technical means of the present invention, the following description will be given by way of specific examples.
Referring to fig. 1, fig. 1 is a flowchart illustrating an implementation of a power compensation type global linear eccentricity method for obtaining a power flow of a dc power grid according to an embodiment of the present invention. The power compensation type global linear eccentricity method for obtaining the power flow of the direct current power grid as shown in the figure can comprise the following steps:
in step 101, a power compensation type global linear relation of node injection power with respect to node translation voltage is established according to known node load parameters and node power supply parameters in the direct current power grid.
wherein i and k are numbers of nodes in the direct current power grid, and both belong to a set of continuous natural numbers {1,2, …, n }; n is the total number of nodes in the direct current power grid; pGiPower supply connected to node i; pDiIs the load power connected to node i; pCiIs the compensatory power for node i; pGi-PDi-PCiInjection power for node i; gikIs the conductance of the branch ik connected between node i and node k; upsilon isiIs the translation voltage of node i; upsilon iskIs the translation voltage of node k, and upsiloniAnd upsilonkAre the voltage per unit after shifting by-1.0.
PGi、PDi、PCi、n、gikAre known dc power grid parameters.
The compensation power of the node i is used for compensating the nonlinear term of the original power expression according to the formula
Calculating; upsilon isi0A base point translation voltage for node i; upsilon isk0A base point translation voltage of node k, and vi0And upsilonk0Are the voltage per unit after shifting by-1.0.
All variables in the power compensation type global linear relation are global variables and are not increments, and the left side of the power compensation type global linear relation contains node compensation power for compensating the nonlinear term of the original power expression, which is called the power compensation type global linear relation of node injection power with respect to node translation voltage.
The power compensation type global linear relation is established according to the operation characteristics of the direct current power grid. The operation characteristic of the direct current power network is that the 'node translation voltage' obtained after the voltage of each node in the direct current power network translates to-1.0 is very small, so that the product of the branch conductance and the square of the translation voltage of one end node of the branch conductance and the product of the branch conductance and the translation voltages of two end nodes of the branch conductance are always close to zero, and the influence on the precision of the result is very small when the branch conductance and the translation voltages of two end nodes of the branch conductance are replaced by constants.
In step 102, a power-compensated global linear-eccentricity model of the power flow in the dc power network is established based on the power-compensated global linear relation and the known reference node numbers.
wherein, PG1Power supply for node 1; pGiPower supply for node i; pGn-1Is the power supply power of node n-1; pD1Is the load power of node 1; pDiIs the load power of node i; pDn-1Is the load power of node n-1; pC1Is the compensatory power for node 1; pCiIs the compensatory power for node i; pCn-1Is the compensatory power for node n-1; j is the number of the node in the direct current power network and belongs to the set of continuous natural numbers {1,2, …, n }; gijIs the conductance of the branch ij connected between node i and node j; gikIs the conductance of the branch ik connected between node i and node k; n is the total number of nodes in the direct current power grid; the node numbered n is a known reference node; (G)ij) The method comprises the steps that an original node conductance matrix of the direct-current power grid is deleted after rows and columns of reference nodes are deleted, and the dimension of the original node conductance matrix is (n-1) x (n-1); gijIs a raw node conductance matrix (G)ij) Row i and column j; upsilon is1Is the translation voltage of node 1; upsilon isiIs the translation voltage of node i; upsilon isn-1Is the translation voltage of the node n-1, and upsilon1、υiAnd upsilonn-1Are the voltage per unit after shifting by-1.0.
PG1、PD1、PC1、PGi、PDi、PCi、PGn-1、PDn-1、PCn-1、(Gij) Are known dc power grid parameters.
In the power compensation type global linear eccentricity model, the translation voltage of the reference node is assigned to a voltage center of zero value, and the center is completely biased to the reference node.
In step 103, a power compensation type global linear eccentricity matrix relation of the non-reference node translation voltage and the non-reference node injection power is established by using an inverse matrix according to the power compensation type global linear eccentricity model.
wherein (G)ij)-1Is the primary node conductance matrix (G) of the DC power gridij) The inverse matrix of (d); pG1Power supply for node 1; pGiPower supply for node i; pGn-1Is the power supply power of node n-1; pD1Is the load power of node 1; pDiIs the load power of node i; pDn-1Is the load power of node n-1; pC1Is the compensatory power for node 1; pCiIs the compensatory power for node i; pCn-1Is the compensatory power for node n-1; upsilon is1Is the translation voltage of node 1; upsilon isiIs the translation voltage of node i; upsilon isn-1Is the translation voltage of the node n-1, and upsilon1、υiAnd upsilonn-1Are the voltage per unit after shifting by-1.0. The non-reference node translation voltage value upsilon can be calculated according to the relationi，i＝1,2,…,n-1。
Because the power compensation type global linear eccentricity matrix relational expression is a global variable (rather than increment) relational expression, the non-reference node translation voltage obtained by calculation according to the power compensation type global linear eccentricity matrix relational expression is accurate when the node injection power is changed in a large range, namely the operation state of a direct current power grid is changed in a large range, and the calculation process only relates to one step of simple linear relational calculation, and is fast and reliable.
In step 104, the voltage value of each node and the transmission power value of each branch in the dc power network are calculated according to the power compensation type global linear eccentricity matrix relation and the known reference node translation voltage value.
According to the known reference node translation voltage value, respectively calculating a non-reference node voltage value, a reference node voltage value and transmission power values of all branches in the direct current power network according to the following 3 relations:
Vi＝1+υi+υn
Vn＝1+υn
Pij＝gij(υi-υj)
wherein, ViIs a non-reference node voltage value, i is 1,2, …, n-1; vnIs a reference node voltage value; upsilon isnTranslating the voltage value for the reference node, and translating the voltage value by-1.0 per unit; upsilon isiIs the translation voltage of node i; upsilon isjIs the translation voltage of node j, and upsiloniAnd upsilonjAre the voltage per unit after translating by-1.0; gijIs the conductance of the branch ij connected between node i and node j; pijThe branch ij is also called branch power flow.
Thus, the distribution of power compensation type global linear power flow in the direct current power network is obtained. The calculation formula takes the translation voltage of the non-reference node as a core and is very simple. The calculation of the translation voltage of the non-reference node is accurate, rapid and reliable when the running state of the direct current power grid changes in a large range. Therefore, the power compensation type global linear eccentricity model and algorithm of the power flow in the direct-current power network are accurate, fast and reliable.
It should be understood that, the sequence numbers of the steps in the foregoing embodiments do not imply an execution sequence, and the execution sequence of each process should be determined according to the function and the internal logic of the process, and should not constitute any limitation to the implementation process of the embodiments of the present invention.
Those of ordinary skill in the art will appreciate that the exemplary elements and algorithm steps described in connection with the embodiments disclosed herein can be implemented as electronic hardware, or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the implementation. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present invention.
Claims (5)
1. A power compensation type global linear eccentricity method for obtaining a direct current power network power flow is characterized by comprising the following steps:
establishing a power compensation type global linear relation of node injection power relative to node translation voltage according to known node load parameters and node power supply parameters in a direct current power grid;
establishing a power compensation type global linear eccentric model of the power flow in the direct-current power network according to the power compensation type global linear relation and the known reference node number;
establishing a power compensation type global linear eccentricity matrix relation of the translation voltage of the non-reference node relative to the injection power of the non-reference node by using an inverse matrix according to the power compensation type global linear eccentricity model;
and calculating the voltage value of each node and the transmission power value of each branch in the direct current power network according to the power compensation type global linear eccentricity matrix relation and the known reference node translation voltage value.
2. The power compensation type global linear decentration method for obtaining the power flow of the direct current power network as claimed in claim 1, wherein the power compensation type global linear relation of the node injection power with respect to the node translation voltage is established according to the node load parameter and the node power supply parameter in the known direct current power network, and specifically comprises:
establishing a power compensation type global linear relation of the node injection power and the node translation voltage according to the following relation:
wherein i and k are numbers of nodes in the direct current power grid, and both belong to a set of continuous natural numbers {1,2, …, n }; n is the total number of nodes in the direct current power grid; pGiPower supply connected to node i; pDiIs the load power connected to the node i; pCiThe compensation power for the node i; pGi-PDi-PCiThe injected power for the node i; gikIs the conductance of the branch ik connected between the node i and node k; upsilon isiIs the translation voltage of the node i; upsilon iskIs the translation voltage of the node k, and the viAnd said upsilonkAre the voltage per unit after translating by-1.0;
the compensation power of the node i is used for compensating the nonlinear term of the original power expression according to the formula
Calculating; upsilon isi0A base point translation voltage for the node i; upsilon isk0A base point translation voltage of the node k, and the vi0And said upsilonk0Are the voltage per unit after shifting by-1.0.
3. The power compensation type global linear eccentricity method for obtaining the power flow of the direct-current power network according to claim 1, wherein the establishing of the power compensation type global linear eccentricity model of the power flow in the direct-current power network according to the power compensation type global linear relation and the known reference node number specifically comprises:
establishing a power compensation type global linear eccentricity model of the power flow in the direct-current power network according to the following relation:
wherein, PG1Power supply for node 1; pGiPower supply for node i; pGn-1Is the power supply power of node n-1; pD1Is the load power of the node 1; pDiIs the load power of the node i; pDn-1Is the load power of the node n-1; pC1Is the compensatory power for node 1; pCiThe compensation power for the node i; pCn-1A compensation power for said node n-1; j is the number of the node in the direct current power grid and belongs to a set of continuous natural numbers {1,2, …, n }; gijIs the conductance of a branch ij connected between said node i and said node j; gikIs the conductance of the branch ik connected between the node i and node k; n is the total number of nodes in the direct current power grid; the node numbered n is a known reference node; (G)ij) Is an original node conductance matrix of the dc power grid after deleting rows and columns of reference nodes, the original node conductance matrix having dimensions of (n-1) × (n-1); gijIs the original node conductance matrix (G)ij) Row i and column j; upsilon is1Is the translation voltage of the node 1; upsilon isiIs the translation voltage of the node i; upsilon isn-1Is the translation voltage of the node n-1 and the v1And the viAnd said upsilonn-1Are the voltage per unit after shifting by-1.0.
4. The power compensation type global linear eccentricity method for obtaining the power flow of the direct-current power network according to claim 1, wherein the establishing of the power compensation type global linear eccentricity matrix relation of the non-reference node translation voltage and the non-reference node injection power by using an inverse matrix according to the power compensation type global linear eccentricity model is specifically as follows:
establishing a power compensation type global linear eccentricity matrix relation of the translation voltage of the non-reference node relative to the injection power of the non-reference node according to the following relation:
wherein (G)ij)-1Is the primary node conductance matrix (G) of the DC power gridij) The inverse matrix of (d); pG1Power supply for node 1; pGiPower supply for node i; pGn-1Is the power supply power of node n-1; pD1Is the load power of the node 1; pDiIs the load power of the node i; pDn-1Is the load power of the node n-1; pC1Is the compensatory power for node 1; pCiThe compensation power for the node i; pCn-1A compensation power for said node n-1; upsilon is1Is the translation voltage of the node 1; upsilon isiIs the translation voltage of the node i; upsilon isn-1Is the translation voltage of the node n-1 and the v1And the viAnd said upsilonn-1Are the voltage per unit after shifting by-1.0.
5. The power compensation type global linear eccentricity method for obtaining the power flow of the dc power network according to claim 1, wherein the calculating the voltage value of each node and the transmission power value of each branch in the dc power network according to the power compensation type global linear eccentricity matrix relation and the known reference node translation voltage value specifically comprises:
calculating a non-reference node translation voltage value according to the power compensation type global linear eccentricity matrix relational expression;
according to the known reference node translation voltage value, respectively calculating a non-reference node voltage value, a reference node voltage value and transmission power values of each branch in the direct current power network according to the following 3 relations:
Vi＝1+υi+υn
Vn＝1+υn
Pij＝gij(υi-υj)
wherein, ViIs the non-reference node voltage value, i ═ 1,2, …, n-1; vnIs the reference node voltage value; upsilon isnTranslating the voltage value for the reference node, and the voltage is translated to be per unit value of-1.0; upsilon isiIs the translation voltage of node i; upsilon isjIs a translation voltage of a node j, and the viAnd said upsilonjAre the voltage per unit after translating by-1.0; gijIs the conductance of a branch ij connected between said node i and said node j; pijTransmitting a power value for said branch ij.
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102780220A (en) * | 2012-07-27 | 2012-11-14 | 上海电力学院 | Power flow calculation method for electric distribution network comprising PV constant distributed generation |
| CN103956733A (en) * | 2014-04-25 | 2014-07-30 | 深圳大学 | Symmetric obtaining method for coefficient of active power transmission from nodes to branches in power network |
| CN104995811A (en) * | 2014-10-21 | 2015-10-21 | 深圳大学 | Acquisition method for minimum phase linear effective power flow of alternating current power grid |
| CN104995810A (en) * | 2014-11-18 | 2015-10-21 | 深圳大学 | Method for acquiring a transmission coefficient of a source-load equivariant symmetrical power in an AC main. |
| CN105745809A (en) * | 2015-05-19 | 2016-07-06 | 深圳大学 | Symmetry method for obtaining mlutiterminal direct current power network nonlinear active power flow |
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| US7619327B2 (en) * | 2007-07-06 | 2009-11-17 | Hamilton Sundstrand Corporation | Hybrid electromechanical power transfer system |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102780220A (en) * | 2012-07-27 | 2012-11-14 | 上海电力学院 | Power flow calculation method for electric distribution network comprising PV constant distributed generation |
| CN103956733A (en) * | 2014-04-25 | 2014-07-30 | 深圳大学 | Symmetric obtaining method for coefficient of active power transmission from nodes to branches in power network |
| CN104995811A (en) * | 2014-10-21 | 2015-10-21 | 深圳大学 | Acquisition method for minimum phase linear effective power flow of alternating current power grid |
| CN104995810A (en) * | 2014-11-18 | 2015-10-21 | 深圳大学 | Method for acquiring a transmission coefficient of a source-load equivariant symmetrical power in an AC main. |
| CN105745809A (en) * | 2015-05-19 | 2016-07-06 | 深圳大学 | Symmetry method for obtaining mlutiterminal direct current power network nonlinear active power flow |
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