CN113162034A - Method for calculating power supply capacity of weak power grid of electrified railway - Google Patents

Method for calculating power supply capacity of weak power grid of electrified railway Download PDF

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CN113162034A
CN113162034A CN202110424425.5A CN202110424425A CN113162034A CN 113162034 A CN113162034 A CN 113162034A CN 202110424425 A CN202110424425 A CN 202110424425A CN 113162034 A CN113162034 A CN 113162034A
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power grid
weak
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load reduction
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CN113162034B (en
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冯玎
马栅
孙小军
林圣�
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Southwest Jiaotong University
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    • 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/12—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load
    • H02J3/14—Circuit arrangements for ac mains or ac distribution networks for adjusting voltage in ac networks by changing a characteristic of the network load by switching loads on to, or off from, network, e.g. progressively balanced loading
    • 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
    • H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04—INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S10/00—Systems supporting electrical power generation, transmission or distribution
    • Y04S10/50—Systems or methods supporting the power network operation or management, involving a certain degree of interaction with the load-side end user applications

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Abstract

The invention discloses a method for calculating the power supply capacity of a weak power grid of an electrified railway, which comprises the following steps: 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 load reduction condition of the system; and F, calculating the weak power grid power supply capacity according to the load reduction condition. According to the invention, load reduction is carried out according to the node importance level in the fault state of the external power grid, so that the power shortage degree of the traction substation along the line is effectively reduced, the operation reliability of the traction substation is effectively improved, and the safe and reliable operation of the electrified railway is further ensured.

Description

Method for calculating power supply capacity of weak power grid of electrified railway
Technical Field
The invention belongs to the field of calculation of power supply capacity of electrified railway power grids, and particularly relates to a method for calculating the power supply capacity of a weak power grid of an electrified railway.
Background
The traction power supply system of the electrified railway is used as a primary power load, a stable and reliable external power grid is required to be provided by the power grid, and the calculation of the power supply capacity of the external power grid is an important content for checking whether the external power grid can run safely and reliably. Particularly, for the electrified railway in the weak power grid area, the power supply capacity of the external power grid is calculated, the weak power supply link of the external power grid is accurately identified, and the safe and reliable traffic capacity of the electrified railway can be improved.
However, the existing external power grid power supply capability calculation is mostly carried out based on a power generation and transmission test system published by IEEE, the power generation and transmission test system has the characteristics of many power grid points, tough grid topology structure, good power supply capability and the like, and the power grid points in an external weak power grid area are few, the grid topology structure is fragile, so that the calculation result cannot fully identify weak links of the power grid, and the safe operation of the electrified railway in the area cannot be guaranteed.
Disclosure of Invention
The invention aims to accurately identify weak links of a power grid through calculation results by calculating the power supply capacity of the weak power grid containing the electrified railway; by adopting the strategy of reducing the importance of the nodes, the power shortage degree of the traction substation along the line is effectively reduced under the fault state of the external power grid element of the traction power supply system of the electrified railway, so that the power supply capacity of a weak power grid is effectively improved, and the safe and reliable operation of the electrified railway is ensured.
Therefore, the invention provides a method for calculating the power supply capacity of a weak power grid of an electrified railway.
The invention discloses a method for calculating the power supply capacity of a weak power grid of an electrified railway, 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. 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, 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 component failure rate and repair rate are formulated as:
Figure BDA0003029269400000021
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 BDA0003029269400000022
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 BDA0003029269400000023
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 BDA0003029269400000031
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. Aiming at N state operation sequences of a weak power grid, respectively counting the load reduction conditions of all nodes of the system under each state operation sequence of the weak power grid, wherein the counting comprises the following steps:
number of traction load reduction N on all nodesLCAnd a total load reduction amount LT for all nodes.
F. Calculating power supply capacity evaluation indexes of each node of the weak power grid, and evaluating the power supply capacity of each node according to the indexes;
the evaluation indexes of the weak power grid power supply capacity comprise: node load transfer rate, traction load reduction rate.
F1, the node load transfer rate formula is:
Figure BDA0003029269400000032
the LTR is a load transfer rate, and the size of the LTR represents the degree of change of the power supply capacity of a node when a load reduction model based on the node importance degree is adopted to reduce the load of the system node compared with a conventional load reduction model; compared with the conventional load reduction principle, the positive and negative representation of the node reduces or increases the load reduction amount of a certain node and enhances or decreases the power supply capacity of the node by considering the node importance reduction principle.
F2, the traction load reduction rate formula is as follows:
Figure BDA0003029269400000033
the LCR is a traction load reduction rate, represents the traction load reduction degree of a certain node, and reflects the reliability degree of the node for supplying power to the connected traction substation.
The beneficial technical effects of the invention are as follows:
according to the method, a weak power grid simulation model containing the electrified railway is built and the power supply capacity of the weak power grid simulation model is calculated, and load reduction is carried out according to the importance level of the nodes in the fault state of an external power grid, so that the power shortage degree of the traction substation along the line is effectively reduced, the operation reliability of the traction substation is effectively improved, and the safe and reliable operation of the electrified railway is further ensured.
Detailed Description
The present invention will be described in further detail with reference to specific embodiments.
The invention discloses a method for calculating the power supply capacity of a weak power grid of an electrified railway, 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. 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 of the element, 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 component failure rate and repair rate are formulated as:
Figure BDA0003029269400000041
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 BDA0003029269400000042
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 BDA0003029269400000051
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 BDA0003029269400000052
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. Aiming at N state operation sequences of a weak power grid, respectively counting the load reduction conditions of all nodes of the system under each state operation sequence of the weak power grid, wherein the counting comprises the following steps:
number of traction load reduction N on all nodesLCAnd a total load reduction amount LT for all nodes.
F. Calculating power supply capacity evaluation indexes of each node of the weak power grid, and evaluating the power supply capacity of each node according to the indexes;
the evaluation indexes of the weak power grid power supply capacity comprise: node load transfer rate, traction load reduction rate.
F1, the node load transfer rate formula is:
Figure BDA0003029269400000053
the LTR is a load transfer rate, and the size of the LTR represents the degree of change of the power supply capacity of a node when a load reduction model based on the node importance degree is adopted to reduce the load of the system node compared with a conventional load reduction model; the positive and negative of the node mean that the load shedding amount of a certain node is increased or reduced and the power supply capacity of the node is enhanced or reduced in comparison with the conventional load shedding principle by considering the node importance degree shedding principle.
F2, the traction load reduction rate formula is as follows:
Figure BDA0003029269400000061
the LCR is a traction load reduction rate, represents the traction load reduction degree of a certain node, and reflects the reliability degree of the node for supplying power to the connected traction substation.

Claims (1)

1. A method for calculating the power supply capacity of a weak power grid of an electrified railway is characterized by comprising the following steps:
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 Root of herbaceous plantCalculating 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 Repair (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 FDA0003029269390000011
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 FDA0003029269390000012
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 FDA0003029269390000021
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 FDA0003029269390000022
wherein b is a weak power grid line admittance matrix; a is a node line relation matrix;
E. aiming at N state operation sequences of a weak power grid, respectively counting the load reduction conditions of all nodes of the system under each state operation sequence of the weak power grid, wherein the counting comprises the following steps:
number of traction load reduction N on all nodesLCThe total load reduction quantity LT of all the nodes;
F. calculating power supply capacity evaluation indexes of each node of the weak power grid, and evaluating the power supply capacity of each node according to the indexes;
the evaluation indexes of the weak power grid power supply capacity comprise: node load transfer rate, traction load reduction rate;
f1, the node load transfer rate formula is:
Figure FDA0003029269390000023
the LTR is a load transfer rate, and the size of the LTR represents the degree of change of the power supply capacity of a node when a load reduction model based on the node importance degree is adopted to reduce the load of the system node compared with a conventional load reduction model; the positive and negative of the node represent that the load shedding amount of a certain node is increased or reduced and the power supply capacity of the node is enhanced or reduced by considering the node importance degree shedding principle compared with the conventional load shedding principle;
f2, the traction load reduction rate formula is as follows:
Figure FDA0003029269390000031
the LCR is a traction load reduction rate, represents the traction load reduction degree of a certain node, and reflects the reliability degree of the node for supplying power to the connected traction substation.
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