CN113034045A - Method for calculating operation reliability index of traction substation of electrified railway of weak power grid - Google Patents

Method for calculating operation reliability index of traction substation of electrified railway of weak power grid Download PDF

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CN113034045A
CN113034045A CN202110426654.0A CN202110426654A CN113034045A CN 113034045 A CN113034045 A CN 113034045A CN 202110426654 A CN202110426654 A CN 202110426654A CN 113034045 A CN113034045 A CN 113034045A
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traction substation
power grid
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林圣�
马栅
冯玎
孙小军
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Chengdu Aitneng Electric Technology Co ltd
Southwest Jiaotong University
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Abstract

The invention discloses a method for calculating an operation reliability index of a traction substation of an electrified railway of a weak power grid, which comprises the following steps of: a, acquiring node and element information according to a geographical wiring diagram of a weak power grid; b, acquiring node position information of a weak power grid accessed by a traction substation along the electrified railway; c, acquiring a weak power grid operation state sequence based on a Monte Carlo method according to node and element information; d, performing load flow calculation on the system according to the running state sequence and performing corresponding load reduction processing by adopting a node importance load reduction model; e, counting the traction load reduction condition of the system; and F, calculating the operation reliability index of the traction substation according to the traction load reduction condition. By calculating the operation reliability index of the electrified railway traction substation in the weak power grid area, the invention can identify the traction substation with lower operation reliability, and is convenient for design optimization aiming at the scheme that the traction substations are accessed to the weak power grid.

Description

Method for calculating operation reliability index of traction substation of electrified railway of weak power grid
Technical Field
The invention belongs to the technical field of operation evaluation of electrified railway traction substations, and particularly relates to a method for calculating an operation reliability index of an electrified railway traction substation of a weak power grid.
Background
As a primary power load, the traction substation of the electrified railway needs a power system to provide a stable and reliable external power supply, which requires the external power supply to have a strong power supply capability. Particularly, for the electrified railway in the weak power grid area, the power supply capacity of the external power supply can be checked by calculating the operation reliability index of the traction substation along the line, and the operation reliability level of the traction substation is improved by improving the power supply capacity.
However, most of the existing methods for calculating the operational reliability indexes of the traction substation of the electrified railway are based on a power generation and transmission test system published by IEEE, the power generation and transmission test system has the characteristics of multiple power points, tough grid topology structure, good power supply capacity and the like, and the power points in a weak power grid area are few, and the grid topology structure is weak, so that the index calculation method cannot fully reflect the operational reliability level of the traction substation of the electrified railway in the weak power grid area.
Disclosure of Invention
The invention provides a method for calculating an operation reliability index of an electrified railway traction substation of a weak power grid in order to fully reflect the operation reliability level of the electrified railway traction substation in the weak power grid area.
The invention discloses a method for calculating the operational reliability index of a traction substation of an electrified railway of a weak power grid, which comprises the following steps of:
A. and acquiring node and element information according to the geographical wiring diagram of the weak power grid.
A1, the node information includes: total number n of nodes, voltage class of node i, and active load D on node i, i ═ 1,2, …, niNode i is injected withWork power PgiUpper limit of generator output P on node igimaxLower limit of output P of generator on node igiminNode importance level class DM, and importance weight coefficient α of node i.
The node importance level DM is divided into: 1) the importance is: all nodes connected with traction load; 2) and (2) secondarily: 500kV nodes and 220kV nodes; 3) the method comprises the following steps: and (5) 110kV nodes.
A2, element information comprises: reactance x of total number NL, k 1,2, …, NLkMean time to failure MTTF and mean time to repair MTTR for line k, maximum transmission capacity T for line kkmaxThe average failure-free working time MTTF and the average maintenance time MTTR of the generators NG are determined according to the generator number NG, the generators g and g are 1,2 and ….
B. Acquiring node position information of a traction substation connected to a weak power grid along an electrified railway: namely, a certain traction substation is connected to the ith node of the weak power grid, and the node i is connected with a traction load at the moment.
C. Numbering all lines and generators of the weak power grid; setting weak grid operation age N0(ii) a Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the Mean Time To Failure (MTTF) and the mean time to Maintenance (MTTR) of the line and the generator; according to lambda and mu, N { x ] of weak power grid are generated based on sequential Monte Carlo method simulation1,x2,…,xii,…xmState run sequence (m-NL + NG), where xiiIs 1 or 0.
The failure rate and repair rate formula is:
Figure BDA0003029775300000021
D. running a sequence { x) according to the state of a weak grid1,x2,…,xii,…xmAdjusting system parameters, and calculating the flow of all lines of the system; and if the line flow exceeds the limit, carrying out load reduction on the system nodes by using a load reduction model based on the node importance.
D1, system parameterThe number adjustment principle is as follows: occurrence of x in a sequence of state runsiiIf element ii is a line, the line is disconnected and the line conductance is adjusted to 0; if element ii is a generator, the generator fails, adjusting the generator output to 0.
D2, the objective function based on the node importance load reduction model is as follows:
Figure BDA0003029775300000022
wherein alpha isjRepresenting a weight coefficient aiming at a node importance degree reduction principle; ciReducing the active load of the node i when the weak power grid fails; subscript i represents weak grid node number; j represents the importance level number of the weak grid node.
Setting the weight coefficient: the important node alpha is 1.2; secondary node α ═ 1.1; the common node α is 1.
D3, constraint conditions based on the node importance load reduction model comprise node active power balance constraint, node load reduction constraint, generator active output constraint and transmission line transmission capacity constraint:
Figure BDA0003029775300000023
wherein D isiThe active load on a weak power grid node i; pgD and C are respectively an active power collection, an active load collection and an active load reduction collection of the weak grid node generator; l (Z) is a relation matrix of the active power flow of the weak power grid line and the node injection power in a fault state; t iskAnd (Z) is an active power flow vector of the weak power grid transmission line k.
The relation matrix of the active power flow and the node injection power of the weak power grid line in the fault state is as follows:
L(Z)=bAT(AbAT)-1
Figure BDA0003029775300000031
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. For N state operation sequences of the weak power grid, respectively counting the operation conditions of all traction substations along the electrified railway under each state operation sequence of the weak power grid: if the traction load on a certain node is reduced, the traction substation connected to the node is in short of power, and the simulation year limit N is counted0Number of times of power shortage N of each traction substationTPSSAnd the electric quantity ELOSS
F. And calculating the running reliability index of the traction substation along the electrified railway in the weak power grid area.
The operation reliability indexes of the traction substation comprise: the power shortage probability of the traction substation, the power shortage frequency of the traction substation and the expected power shortage of the traction substation.
F1, the power shortage probability formula of the traction substation is as follows:
Figure BDA0003029775300000032
the LOLP is the power shortage probability of the traction substation, and represents the possibility of power shortage of a certain traction substation caused by the fault of a weak power grid element.
F2, the power shortage frequency formula of the traction substation is as follows:
Figure BDA0003029775300000033
the LOLF is the power shortage frequency of the traction substation and represents the average annual power shortage number of the traction substation.
F3, the expected formula of the power shortage of the traction substation is as follows:
Figure BDA0003029775300000034
the EDNS is expected for the shortage of electricity of the traction substation and represents the average annual shortage of electricity of a certain traction substation.
The beneficial technical effects of the invention are as follows:
by calculating the operation reliability index of the electrified railway traction substation in the weak power grid area, the invention can identify the traction substation with lower operation reliability, and is convenient for design optimization aiming at the scheme that the traction substations are accessed to the weak power grid.
Detailed Description
The present invention will be described in further detail with reference to specific embodiments.
The invention discloses a method for calculating the operational reliability index of a traction substation of an electrified railway of a weak power grid, which comprises the following steps of:
A. and acquiring node and element information according to the geographical wiring diagram of the weak power grid.
A1, the node information includes: total number n of nodes, voltage class of node i, and active load D on node i, i ═ 1,2, …, niThe generator on the node i injects active power PgiUpper limit of generator output P on node igimaxLower limit of output P of generator on node igiminNode importance level class DM, and importance weight coefficient α of node i.
The node importance level DM is divided into: 1) the importance is: all nodes connected with traction load; 2) and (2) secondarily: 500kV nodes and 220kV nodes; 3) the method comprises the following steps: and (5) 110kV nodes.
A2, element information comprises: reactance x of total number NL, k 1,2, …, NLkMean time to failure MTTF and mean time to repair MTTR for line k, maximum transmission capacity T for line kkmaxThe average failure-free working time MTTF and the average maintenance time MTTR of the generators NG are determined according to the generator number NG, the generators g and g are 1,2 and ….
B. Acquiring node position information of a traction substation connected to a weak power grid along an electrified railway: namely, a certain traction substation is connected to the ith node of the weak power grid, and the node i is connected with a traction load at the moment.
C. Will be weak electric network stationSome lines and generators are numbered; setting weak grid operation age N0(ii) a Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the Mean Time To Failure (MTTF) and the mean time to Maintenance (MTTR) of the line and the generator; according to lambda and mu, simulating and generating N { x ] of weak power grid based on sequential Monte Carlo state duration sampling method1,x2,…,xii,…xmState run sequence (m-NL + NG), where xiiIs 1 or 0.
The failure rate and repair rate formula is:
Figure BDA0003029775300000041
D. running a sequence { x) according to the state of a weak grid1,x2,…,xii,…xmAdjusting system parameters, and calculating the flow of all lines of the system; and if the line flow exceeds the limit, carrying out load reduction on the system nodes by using a load reduction model based on the node importance.
D1, the system parameter adjustment principle is as follows: occurrence of x in a sequence of state runsiiIf element ii is a line, the line is disconnected and the line conductance is adjusted to 0; if element ii is a generator, the generator fails, adjusting the generator output to 0.
D2, the objective function based on the node importance load reduction model is as follows:
Figure BDA0003029775300000042
wherein alpha isjRepresenting a weight coefficient aiming at a node importance degree reduction principle; ciReducing the active load of the node i when the weak power grid fails; subscript i represents weak grid node number; j represents the importance level number of the weak grid node.
Setting the weight coefficient: the important node alpha is 1.2; secondary node α ═ 1.1; the common node α is 1.
D3, constraint conditions based on the node importance load reduction model comprise node active power balance constraint, node load reduction constraint, generator active output constraint and transmission line transmission capacity constraint:
Figure BDA0003029775300000051
wherein D isiThe active load on a weak power grid node i; pgD and C are respectively an active power collection, an active load collection and an active load reduction collection of the weak grid node generator; l (Z) is a relation matrix of the active power flow of the weak power grid line and the node injection power in a fault state; t iskAnd (Z) is an active power flow vector of the weak power grid transmission line k.
The relation matrix of the active power flow and the node injection power of the weak power grid line in the fault state is as follows:
L(Z)=bAT(AbAT)-1
Figure BDA0003029775300000052
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. For N state operation sequences of the weak power grid, respectively counting the operation conditions of all traction substations along the electrified railway under each state operation sequence of the weak power grid: if the traction load on a certain node is reduced, the traction substation connected to the node is in short of power, and the simulation year limit N is counted0Number of times of power shortage N of each traction substationTPSSAnd the electric quantity ELOSS
F. And calculating the running reliability index of the traction substation along the electrified railway in the weak power grid area.
The operation reliability indexes of the traction substation comprise: the power shortage probability of the traction substation, the power shortage frequency of the traction substation and the expected power shortage of the traction substation.
F1, the power shortage probability formula of the traction substation is as follows:
Figure BDA0003029775300000053
the LOLP is the power shortage probability of the traction substation, and represents the possibility of power shortage of a certain traction substation caused by the fault of a weak power grid element.
F2, the power shortage frequency formula of the traction substation is as follows:
Figure BDA0003029775300000061
the LOLF is the power shortage frequency of the traction substation and represents the average annual power shortage number of the traction substation.
F3, the expected formula of the power shortage of the traction substation is as follows:
Figure BDA0003029775300000062
the EDNS is expected for the shortage of electricity of the traction substation and represents the average annual shortage of electricity of a certain traction substation.

Claims (1)

1. The method for calculating the operation reliability index of the traction substation of the electrified railway of the weak power grid is characterized by comprising the following steps of:
A. acquiring node and element information according to a geographical wiring diagram of a weak power grid;
a1, the node information includes: total number n of nodes, voltage class of node i, and active load D on node i, i ═ 1,2, …, niThe generator on the node i injects active power PgiUpper limit of generator output P on node igimaxLower limit of output P of generator on node igiminThe node importance level class DM and the importance weight coefficient alpha of the node i;
the node importance level DM is divided into: 1) the importance is: all nodes connected with traction load; 2) and (2) secondarily: 500kV nodes and 220kV nodes; 3) the method comprises the following steps: a 110kV node;
a2, element information comprises: reactance x of total number NL, k 1,2, …, NLkMean time to failure MTTF and mean time to repair MTTR for line k, maximum transmission capacity T for line kkmaxThe generator number is NG, the generators g and g are 1,2 and …, and the mean time of failure MTTF and the mean time of maintenance MTTR of NG are obtained;
B. acquiring node position information of a traction substation connected to a weak power grid along an electrified railway: namely, a certain traction substation is connected to the ith node of a weak power grid, and the node i is connected with a traction load;
C. numbering all lines and generators of the weak power grid; setting weak grid operation age N0(ii) a Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the Mean Time To Failure (MTTF) and the mean time to Maintenance (MTTR) of the line and the generator; according to lambda and mu, N { x ] of weak power grid are generated based on sequential Monte Carlo method simulation1,x2,…,xii,…xmState run sequence (m-NL + NG), where xiiIs 1 or 0;
the failure rate and repair rate formula is:
Figure FDA0003029775290000011
D. running a sequence { x) according to the state of a weak grid1,x2,…,xii,…xmAdjusting system parameters, and calculating the flow of all lines of the system; if the line power flow exceeds the limit, carrying out load reduction on the system nodes by using a load reduction model based on the node importance degree;
d1, the system parameter adjustment principle is as follows: occurrence of x in a sequence of state runsiiIf element ii is a line, the line is disconnected and the line conductance is adjusted to 0; if the element ii is a generator, the generator fails, and the output of the generator is adjusted to be 0;
d2, the objective function based on the node importance load reduction model is as follows:
Figure FDA0003029775290000021
wherein alpha isjRepresenting a weight coefficient aiming at a node importance degree reduction principle; ciReducing the active load of the node i when the weak power grid fails; subscript i represents weak grid node number; j represents the importance level number of the weak power grid node;
setting the weight coefficient: the important node alpha is 1.2; secondary node α ═ 1.1; common node α is 1;
d3, constraint conditions based on the node importance load reduction model comprise node active power balance constraint, node load reduction constraint, generator active output constraint and transmission line transmission capacity constraint:
Figure FDA0003029775290000022
wherein D isiThe active load on a weak power grid node i; pgD and C are respectively an active power collection, an active load collection and an active load reduction collection of the weak grid node generator; l (Z) is a relation matrix of the active power flow of the weak power grid line and the node injection power in a fault state; t isk(Z) is an active power flow vector of a weak power grid transmission line k;
the relation matrix of the active power flow and the node injection power of the weak power grid line in the fault state is as follows:
L(Z)=bAT(AbAT)-1
Figure FDA0003029775290000023
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix;
E. respectively counting the electrified iron under each state operation sequence of the weak power grid aiming at N state operation sequences of the weak power gridThe operation conditions of all traction substations on the road edge line are as follows: if the traction load on a certain node is reduced, the traction substation connected to the node is in short of power, and the simulation year limit N is counted0Number of times of power shortage N of each traction substationTPSSAnd the electric quantity ELOSS
F. Calculating the running reliability index of the traction substation along the electrified railway in the weak power grid area;
the operation reliability indexes of the traction substation comprise: the power shortage probability of the traction substation, the power shortage frequency of the traction substation and the expected power shortage of the traction substation are obtained;
f1, the power shortage probability formula of the traction substation is as follows:
Figure FDA0003029775290000024
the LOLP is the power shortage probability of the traction substation, and represents the possibility of power shortage of a certain traction substation caused by the fault of a weak power grid element;
f2, the power shortage frequency formula of the traction substation is as follows:
Figure FDA0003029775290000031
the LOLF is the power shortage frequency of a traction substation and represents the average annual power shortage times of the traction substation;
f3, the expected formula of the power shortage of the traction substation is as follows:
Figure FDA0003029775290000032
the EDNS is expected for the shortage of electricity of the traction substation and represents the average annual shortage of electricity of a certain traction substation.
CN202110426654.0A 2021-04-20 2021-04-20 Method for calculating operation reliability index of traction substation of electrified railway of weak power grid Pending CN113034045A (en)

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