CN117856227A - Power distribution network line loss analysis method based on network transformation and equivalence technology - Google Patents
Power distribution network line loss analysis method based on network transformation and equivalence technology Download PDFInfo
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Abstract
The invention discloses a power distribution network line loss analysis method based on network transformation and equivalence technology, which comprises the following steps: dividing nodes in the power distribution network into concerned nodes, boundary nodes and non-concerned nodes, and regarding the power distribution network as a port network consisting of only concerned nodes, boundary nodes and non-concerned nodes; establishing a network equation, and performing equivalence on a network system to correctly reflect the influence of an external system on disturbance in an internal system; drawing an equivalent distribution network diagram by using network transformation and an equivalent technology; actually measuring the voltages of all nodes in the equivalent power distribution network graph, and constructing a line loss calculation model of any branch; according to the method, a power distribution network bus loss model is built according to a line loss calculation model of any branch, and power distribution network bus loss calculation and analysis are carried out; and the bus loss is estimated through analysis of the local line loss of the power distribution network, so that the phenomenon of measuring faults and power theft exists in the power distribution network.
Description
Technical Field
The invention relates to the technical field of distribution network analysis, in particular to a distribution network line loss analysis method based on network transformation and equivalence technology.
Background
The line loss of the distribution network is an important economic index checked by power production and management enterprises and management departments, and is also a comprehensive technical economic index for representing the planning design level and the management level of a power system. The accurate and reasonable calculation of the line loss of the power distribution network is a powerful tool for analyzing the line loss constitution and making loss reduction measures for power production and management enterprises and management departments, and has important significance for promoting power supply enterprises to reduce energy consumption, improving economic benefits and enhancing power supply operation management.
The analysis of the line loss of the power distribution network is always a difficult problem due to the complexity of the power distribution network structure, the variety of parameters and the imperfect data and the lack of real-time monitoring equipment. With the continuous increase of the proportion of renewable distributed power sources, energy storage systems and charging stations/piles to be connected into the power distribution network, the difficulty of analysis and calculation of the line loss of the power distribution network is increased due to the bidirectional power flow and the operation mode diversity of the power distribution network.
The main purpose of the distribution network line loss analysis is to determine the change rule of the distribution network line loss by calculating the electric energy loss and the proportion of various losses generated by each element in the electric energy transmission and distribution process. The complexity of the power distribution network structure can be effectively reduced through network transformation and equivalence technology, so that the power distribution network line loss can be calculated more rapidly.
Disclosure of Invention
The invention aims to solve the technical problem of providing a power distribution network line loss analysis method based on network transformation and equivalence technology, solving the problem of complex power distribution network line loss analysis, reducing the complexity of a complex power distribution network structure through the network transformation and equivalence technology, and thus achieving the purpose of rapidly and accurately calculating the line loss of a line between any two points; and the bus loss is estimated through analysis of the local line loss of the power distribution network, so that the phenomenon of measuring faults and power theft exists in the power distribution network.
In order to solve the technical problems, the invention adopts the following technical scheme: a power distribution network line loss analysis method based on network transformation and equivalence technology comprises the following steps:
s1, dividing nodes in a power distribution network into concerned nodes, boundary nodes and non-concerned nodes, and regarding the power distribution network as a port network formed by the concerned nodes, the boundary nodes and the non-concerned nodes;
s2, establishing a network equation, and performing equivalence on a network system to correctly reflect the influence of an external system on disturbance in an internal system;
s3, drawing an equivalent distribution network diagram by using network transformation and an equivalent technology;
s4, actually measuring the voltages of all nodes in the equivalent power distribution network diagram, and constructing a line loss calculation model of any branch;
and S5, constructing a power distribution network bus loss model according to the line loss calculation model of any branch, and calculating and analyzing the power distribution network bus loss.
The technical scheme of the invention is further improved as follows: in the power distribution network in step S1, nodes with current flowing in or out are divided into care nodes, and the care nodes include: the system comprises a power source point connected with an upper power grid, a node connected with a renewable distributed power source point, a distributed energy storage system and a charging station/pile, and a node connected with a large-capacity load or a node with complex load characteristics; nodes adjacent to the concerned node in the power distribution network are divided into boundary nodes, and other nodes in the power distribution network are divided into non-concerned nodes.
The technical scheme of the invention is further improved as follows: in the step S1, a node set which is concerned about nodes in the power distribution network is called an internal node set I, a node set which is concerned about boundary nodes in the power distribution network is called a boundary node set B, and a node set which is not concerned about nodes in the power distribution network is called an external node set E; and (3) numbering the nodes in the set E preferentially, then numbering the nodes in the set B and the set I, and forming a plurality of ports by the nodes in the set I and the set B, wherein the power distribution network is equivalent to a multi-port network.
The technical scheme of the invention is further improved as follows: the specific steps of the step S2 are as follows:
step S21, establishing a branch impedance matrix z b For z b Inversion to obtain branch admittance matrix
S22, forming a reduced order node branch incidence matrix A of a network;
step S23, using the formula y=ay b A T Calculating a fixed node admittance matrix Y;
step S24, establishing a network equation:
wherein:a voltage column vector for an independent node; />Injecting current column vectors for the independent nodes;
step S25, using a block matrix form, and dividing and representing a network equation according to I, B, E:
the variation of the erase voltage in equation (2)An equivalent network equation can be obtained:
can be obtained according to the formula (3)
Wherein:the admittance matrix is the boundary equivalent admittance matrix; />Current is injected for the contour boundary.
The technical scheme of the invention is further improved as follows: the specific steps of the step S3 are as follows:
step S31, node admittance matrix of equivalent network
Step S32, according to the node admittance matrixDrawing an equivalent distribution network diagram, namely +.>Middle non-diagonal element Y ij The negative value of (1) is the admittance between the corresponding nodes i, j +.>Sum of the i-th row elements->Admittance Y for node i to ground branch i0 ；
Step S33, according to the node admittance matrixAnd drawing an equivalent distribution network diagram.
The technical scheme of the invention is further improved as follows: the specific steps of the step S4 are as follows:
s41, actually measuring the voltage of all nodes in the equivalent power distribution network diagram;
s42, line loss A of series branch l between nodes i and j in the equivalent distribution network diagram in the t period l The calculation model of (2) is as follows:
wherein:and->The voltages at nodes i and j, respectively; g ij Node admittance matrix for equivalent network>Element Y of ij Is a real part of (c).
S43, line loss A of node i parallel branch m in t period in equivalent distribution network diagram m The calculation model of (2) is as follows:
wherein: g i0 The conductance of the parallel branch m for node i.
The technical scheme of the invention is further improved as follows: the specific steps of the step S5 are as follows:
step S51, constructing a branch line loss calculation model based on the step S4, wherein the construction of the distribution network bus loss model is as follows:
wherein: a is that ∑ Bus loss is the t period of the power distribution network; b 1 Is the total number of parallel branches; b 2 Is the total number of the series branches;
step S52, setting the power supply quantity of the power distribution network in the t period as A G The electricity selling quantity is A S T-period line loss electric quantity A of power distribution network L ＝A G -A S ；
Step S53, for a t-period distribution network, if A L ＜A ∑ The power distribution network has measurement faults; let k be a coefficient greater than 0, obtained empirically from actual operation, if A L ＞A ∑ And A is L -A ∑ ＞kA G The phenomenon of electricity stealing exists;
step S54, calculating the injection current of each node according to the formula (1), and further calculating the electric quantity A of the node i in the t period according to the formula (9) i ：
Calculating electric quantity A i Power supply quantity A of node i in t period G Or sales power A S By comparing, whether the node i has measurement faults or electricity stealing phenomenon can be judged.
By adopting the technical scheme, the invention has the following technical progress:
1. the method for analyzing the line loss of the power distribution network based on the network transformation and the equivalence technology solves the problem of analyzing the line loss of the complex power distribution network, reduces the complexity of the structure of the complex power distribution network through the network transformation and the equivalence technology, and achieves the purpose of rapidly and accurately calculating the line loss of the line between any two points; the bus loss is estimated through analysis of the local line loss of the power distribution network, so that the phenomenon of measuring faults and power theft exists in the power distribution network can be judged;
2. according to the distribution network line loss analysis method based on the network transformation and equivalence technology, the distribution network nodes are classified, then a network equation is formed, the network system is subjected to equivalence, and the external system is solvedInfluence on disturbances in the internal system; then, by drawing the equivalent power grid network diagram, the line loss of each branch can be more simply and conveniently obtained; constructing a power distribution network bus loss model according to the line loss of any branch, and obtaining the power distribution network bus loss; finally, calculating the electric quantity A i Power supply quantity A of node i in t period G Or sales power A S The comparison can be performed to determine whether the node i has a measurement fault or a power theft phenomenon.
Drawings
FIG. 1 is a flow chart of the present invention;
FIG. 2 is a network diagram of a 10-node power distribution network;
FIG. 3 is a network diagram of a multiport equivalent distribution network;
fig. 4 is a network diagram of the equivalent distribution network of fig. 2.
Detailed Description
The invention is further illustrated by the following examples:
as shown in fig. 1, a method for analyzing line loss of a power distribution network based on network transformation and equivalence technology includes the following steps:
s1, dividing nodes in a power distribution network into concerned nodes, boundary nodes and non-concerned nodes, and regarding the power distribution network as a port network formed by the concerned nodes, the boundary nodes and the non-concerned nodes;
s2, establishing a network equation, namely, performing equivalence on the network system to correctly reflect the influence of an external system on disturbance in an internal system, wherein the network system is described by the network equation, and the network equation is a mathematical model of the network system;
s3, drawing an equivalent distribution network diagram by using network transformation and an equivalent technology;
s4, actually measuring the voltages of all nodes in the equivalent power distribution network diagram, and constructing a line loss calculation model of any branch;
and S5, constructing a power distribution network bus loss model according to the line loss calculation model of any branch, and calculating and analyzing the power distribution network bus loss.
The following are the detailed steps of the invention:
step S1, dividing nodes in a power distribution network into concerned nodes, boundary nodes and non-concerned nodes, and regarding the power distribution network as a port network formed by the concerned nodes, the boundary nodes and the non-concerned nodes, wherein the specific steps are as follows:
in step S11, in the power distribution network, nodes with current flowing in or out are divided into care nodes, where the care nodes include: the system comprises a power source point connected with an upper power grid, a node connected with a renewable distributed power source point, a distributed energy storage system and a charging station/pile, and a node connected with a large-capacity load or a node with complex load characteristics;
and step S12, dividing nodes adjacent to the concerned node in the power distribution network into boundary nodes, and dividing other nodes in the power distribution network into non-concerned nodes.
Step S13, a node set which is concerned with nodes in the power distribution network is called an internal node set I, a node set which is concerned with boundary nodes in the power distribution network is called a boundary node set B, and a node set which is not concerned with nodes in the power distribution network is called an external node set E;
step S14, the nodes in the set E are numbered preferentially, then the nodes in the set B and the set I are numbered, a plurality of ports are formed by the nodes in the set I and the set B, and the power distribution network is equivalent to a multi-port network.
Taking fig. 2 as an example, a 10-node power distribution network is shown, the admittance of each branch and the current injected into the node are marked in the figure, wherein nodes 1 and 2 are not concerned nodes, nodes 3, 4, 5 and 6 are boundary nodes, and 7, 8, 9 and 10 are concerned nodes.
The multiport network is shown in fig. 3, in which nodes 1, 2, …, n 1 Belonging to the node not concerned, node n 1 +1、n 1 +2、…、n 1 +m 1 Belonging to concerned node, node n 1 +m 1 +1、n 1 +m 1 +2、…、n 1 +m 1 +m 1 Belonging to boundary nodes.
Step S2, establishing a network equation, and performing equivalence on a network system to correctly reflect the influence of an external system on disturbance in an internal system, wherein the method comprises the following specific steps of:
step S21, establishing a branch impedance matrix z b For z b Inversion to obtain branch admittance matrix
S22, forming a reduced order node branch incidence matrix A of a network;
step S23, using the formula y=ay b A T Calculating a fixed node admittance matrix Y;
step S24, establishing a network equation:
wherein:a voltage column vector for an independent node; />Injecting current column vectors for the independent nodes;
step S25, using a block matrix form, and dividing and representing a network equation according to I, B, E:
the variation of the erase voltage in equation (2)An equivalent network equation can be obtained:
can be obtained according to the formula (3)
Wherein:the admittance matrix is the boundary equivalent admittance matrix; />Current is injected for the contour boundary.
Step S3, drawing an equivalent distribution network diagram by using network transformation and an equivalent technology, wherein the specific steps are as follows:
step S31, node admittance matrix of equivalent network
Step S32, according to the node admittance matrixDrawing an equivalent distribution network diagram, namely +.>Middle non-diagonal element Y ij Negative (-Y) ij ) I.e. the admittance between the corresponding nodes i, j. />Sum of the i-th row elements->Admittance Y for node i to ground branch i0 。
Step S33, according to the node admittance matrixAnd drawing an equivalent distribution network diagram.
Taking fig. 2 as an example, an equivalent distribution network diagram of the 10-node distribution network is drawn according to the step 3) and the step 4), as shown in fig. 4;
(1) firstly, establishing a node admittance matrix according to the sequence of E, B, I, and writing out a network equation expressed by the admittance matrix:
(2) the formula is as follows:
(3) the boundary equivalent admittance matrix can be known:
(4) the equivalence boundary injection current:
(5) the equivalent network equation is as follows:
(6) according to the node admittance matrixAn equivalent distribution network diagram (shown in fig. 4) can be drawn.
S4, actually measuring the voltage of all nodes in the equivalent power distribution network diagram, and constructing a line loss calculation model of any branch, wherein the specific steps are as follows:
s41, actually measuring the voltage of all nodes in the equivalent power distribution network diagram;
s42, line loss A of series branch l between nodes i and j in the equivalent distribution network diagram in the t period l The calculation model of (2) is as follows:
wherein:and->The voltages at nodes i and j, respectively; g ij Node admittance matrix for equivalent network>Element Y of ij Is a real part of (c).
S43, line loss A of node i parallel branch m in t period in equivalent distribution network diagram m The calculation model of (2) is as follows:
wherein: g i0 The conductance of the parallel branch m for node i.
S5, constructing a power distribution network bus loss model according to a line loss calculation model of any branch, and calculating and analyzing the power distribution network bus loss, wherein the specific steps are as follows:
step S51, constructing a branch line loss calculation model based on the step S4, wherein the construction of the distribution network bus loss model is as follows:
wherein: a is that ∑ Bus loss is the t period of the power distribution network; b 1 Is the total number of parallel branches; b 2 Is the total number of the series branches;
step S52, setting the power supply quantity of the power distribution network in the t period as A G The electricity selling quantity is A S T-period line loss electric quantity A of power distribution network L ＝A G -A S ；
Step S53, for a t-period distribution network, if A L ＜A ∑ The power distribution network has measurement faults; let k be a coefficient greater than 0, obtained empirically from actual operation, if A L ＞A ∑ And A is L -A ∑ ＞kA G The phenomenon of electricity stealing exists;
step S54, calculating the injection current of each node according to the formula (1), and further calculating the electric quantity A of the node i in the t period according to the formula (9) i ：
Calculating electric quantity A i Power supply quantity A of node i in t period G Or sales power A S By comparing, whether the node i has measurement faults or electricity stealing phenomenon can be judged.
Claims (7)
1. A power distribution network line loss analysis method based on network transformation and equivalence technology is characterized by comprising the following steps of: the method comprises the following steps:
s1, dividing nodes in a power distribution network into concerned nodes, boundary nodes and non-concerned nodes, and regarding the power distribution network as a port network formed by the concerned nodes, the boundary nodes and the non-concerned nodes;
s2, establishing a network equation, and performing equivalence on a network system to correctly reflect the influence of an external system on disturbance in an internal system;
s3, drawing an equivalent distribution network diagram by using network transformation and an equivalent technology;
s4, actually measuring the voltages of all nodes in the equivalent power distribution network diagram, and constructing a line loss calculation model of any branch;
and S5, constructing a power distribution network bus loss model according to the line loss calculation model of any branch, and calculating and analyzing the power distribution network bus loss.
2. The method for analyzing the line loss of the power distribution network based on the network transformation and equivalence technology according to claim 1, wherein the method comprises the following steps: in the power distribution network in step S1, nodes with current flowing in or out are divided into care nodes, and the care nodes include: the system comprises a power source point connected with an upper power grid, a node connected with a renewable distributed power source point, a distributed energy storage system and a charging station/pile, and a node connected with a large-capacity load or a node with complex load characteristics; nodes adjacent to the concerned node in the power distribution network are divided into boundary nodes, and other nodes in the power distribution network are divided into non-concerned nodes.
3. The method for analyzing the line loss of the power distribution network based on the network transformation and equivalence technology according to claim 2, wherein the method comprises the following steps: in the step S1, a node set which is concerned about nodes in the power distribution network is called an internal node set I, a node set which is concerned about boundary nodes in the power distribution network is called a boundary node set B, and a node set which is not concerned about nodes in the power distribution network is called an external node set E; and (3) numbering the nodes in the set E preferentially, then numbering the nodes in the set B and the set I, and forming a plurality of ports by the nodes in the set I and the set B, wherein the power distribution network is equivalent to a multi-port network.
4. A method for analyzing line loss of a power distribution network based on network transformation and equivalence technology according to claim 3, wherein the method comprises the following steps: the specific steps of the step S2 are as follows:
step S21, establishing a branch impedance matrix z b For z b Inversion to obtain branch admittance matrix
S22, forming a reduced order node branch incidence matrix A of a network;
step S23, using the formula y=ay b A T Calculating a fixed node admittance matrix Y;
step S24, establishing a network equation:
wherein:a voltage column vector for an independent node; />Injecting current column vectors for the independent nodes;
step S25, using a block matrix form, and dividing and representing a network equation according to I, B, E:
the variation of the erase voltage in equation (2)An equivalent network equation can be obtained:
can be obtained according to the formula (3)
Wherein:the admittance matrix is the boundary equivalent admittance matrix;/>current is injected for the contour boundary.
5. The method for analyzing the line loss of the power distribution network based on the network transformation and equivalence technology according to claim 4, wherein the method comprises the following steps: the specific steps of the step S3 are as follows:
step S31, node admittance matrix of equivalent network
Step S32, according to the node admittance matrixDrawing an equivalent distribution network diagram, namely +.>Middle non-diagonal element Y ij The negative value of (1) is the admittance between the corresponding nodes i, j,/>Sum of the i-th row elements->Admittance Y for node i to ground branch i0 ；
Step S33, according to the node admittance matrixAnd drawing an equivalent distribution network diagram.
6. The method for analyzing the line loss of the power distribution network based on the network transformation and equivalence technology according to claim 5, wherein the method comprises the following steps: the specific steps of the step S4 are as follows:
s41, actually measuring the voltage of all nodes in the equivalent power distribution network diagram;
s42, line loss A of series branch l between nodes i and j in the equivalent distribution network diagram in the t period l The calculation model of (2) is as follows:
wherein:and->The voltages at nodes i and j, respectively; g ij Node admittance matrix for equivalent network>Element Y of ij Is a real part of (c).
S43, line loss A of node i parallel branch m in t period in equivalent distribution network diagram m The calculation model of (2) is as follows:
wherein: g i0 The conductance of the parallel branch m for node i.
7. The method for analyzing the line loss of the power distribution network based on the network transformation and equivalence technology according to claim 6, wherein the method comprises the following steps: the specific steps of the step S5 are as follows:
step S51, constructing a branch line loss calculation model based on the step S4, wherein the construction of the distribution network bus loss model is as follows:
wherein: a is that ∑ Bus loss is the t period of the power distribution network; b 1 Is the total number of parallel branches; b 2 Is the total number of the series branches;
step S52, setting the power supply quantity of the power distribution network in the t period as A G The electricity selling quantity is A S T-period line loss electric quantity A of power distribution network L ＝A G -A S ；
Step S53, for a t-period distribution network, if A L ＜A ∑ The power distribution network has measurement faults; let k be a coefficient greater than 0, obtained empirically from actual operation, if A L ＞A ∑ And A is L -A ∑ ＞kA G The phenomenon of electricity stealing exists;
step S54, calculating the injection current of each node according to the formula (1), and further calculating the electric quantity A of the node i in the t period according to the formula (9) i ：
Calculating electric quantity A i Power supply quantity A of node i in t period G Or sales power A S By comparing, whether the node i has measurement faults or electricity stealing phenomenon can be judged.
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