CN113162034B - Method for calculating power supply capacity of weak power grid containing electrified railway - Google Patents
Method for calculating power supply capacity of weak power grid containing electrified railway Download PDFInfo
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- CN113162034B CN113162034B CN202110424425.5A CN202110424425A CN113162034B CN 113162034 B CN113162034 B CN 113162034B CN 202110424425 A CN202110424425 A CN 202110424425A CN 113162034 B CN113162034 B CN 113162034B
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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
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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
- 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
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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
- 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]
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- 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 with 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 the traction substations along the electrified railway, which are connected with a weak power grid; c, acquiring a weak power grid operation state sequence based on a Monte Carlo method according to node and element information; d, carrying out load flow calculation on the system according to the running state sequence and carrying out corresponding load reduction processing by adopting a node importance load reduction model; e, counting the load reduction condition of the system; and F, calculating weak power supply capacity of the power grid 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 electrified railway can be ensured to operate safely and reliably.
Description
Technical Field
The invention belongs to the field of power supply capacity calculation of electrified railway power grids, and particularly relates to a weak power grid power supply capacity calculation method containing electrified railways.
Background
The electrified railway traction power supply system is used as a primary power load, a power grid is required to provide a stable and reliable external power grid, and the calculation of the power supply capacity of the external power grid is an important content for checking whether the electrified railway traction power supply system can safely and reliably operate. Particularly, for the electrified railway in the weak power grid area, the power supply capacity calculation is carried out on the external power grid, the weak link of the external power grid power supply is accurately identified, and the safe and reliable traffic capacity of the electrified railway can be improved.
However, the calculation of the power supply capacity of the existing external power grid is mostly based on an IEEE published power generation and transmission testing system, and the power generation and transmission testing system has the characteristics of more power grid points, tough grid topological structure, good power supply capacity and the like, and the power grid topological structure of an external weak power grid area is fragile, so that the calculation result cannot fully identify weak links of the power grid, and the safe operation of the electrified railway 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; the power shortage degree of the traction transformer 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 by adopting the strategy of reducing importance degree of the nodes, so that the power supply capacity of a weak power grid is effectively improved, and the electrified railway can be ensured to run safely and reliably.
Therefore, the invention provides a weak power grid power supply capacity calculation method comprising an electrified railway.
The invention discloses a method for calculating the power supply capacity of a weak power grid with an electrified railway, which comprises the following steps:
A. and acquiring node and element information according to a geographical wiring diagram of the weak power grid.
A1, node information comprises: total number of nodes n, voltage class of node i, active load D on node i, i=1, 2, …, n i Active power P injected by generator on node i gi Generator output upper limit P on node i gimax Lower generator output limit P on node i gimin The node importance level class DM and the importance weight coefficient alpha of the node i.
The node importance level DM is divided into: 1) Important: all nodes connected with traction loads; 2) Secondary: 500kV nodes and 220kV nodes; 3) Common: 110kV node.
A2, the element information comprises: total number of lines NL, reactance x of lines k, k=1, 2, …, NL k Mean time between failure MTTF and mean maintenance MTTR for line k, maximum transmission capacity T for line k kmax The number of generators NG, generators g, g=1, 2, …, average no fault on time MTTF and average maintenance time MTTR of NG.
B. Acquiring node position information of an electrified railway traction substation connected with a weak power grid along the line: namely, a certain traction substation is connected to an ith node of the 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 the operation period N of weak power grid 0 The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the average fault-free working time MTTF and the average maintenance time MTTR of the line and the generator; based on sequential Monte Carlo states according to λ and μSimulation of duration sampling method to generate N { x } of weak power grid 1 ,x 2 ,…,x ii ,…x m A sequence of state runs (m=nl+ng), where x ii Is 1 or 0.
The component failure rate and repair rate formula is:
D. operating sequence { x } according to state of weak power grid 1 ,x 2 ,…,x ii ,…x m Adjusting system parameters, and calculating all line power flows of the system; if the line power flow is out of limit, the load of the system node is reduced by using a load reduction model based on the importance of the node.
D1, the system parameter adjustment principle is as follows: occurrence of x in state run sequence ii When the 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 and the generator output is adjusted to 0.
D2, the objective function based on the node importance load reduction model is as follows:
wherein alpha is j Representing a weight coefficient aiming at a node importance degree reduction principle; c (C) i The active load of the node i is reduced when the weak power grid fails; subscript i represents a weak grid node number; j represents the importance level number of the weak grid node.
Weight coefficient setting: important node α=1.2; secondary node α=1.1; common node α=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 capacity constraint of a transmission line:
wherein D is i Is the active load on the weak grid node i; p (P) g D and C are respectively an active power aggregate set, an active load aggregate set and an active load reduction aggregate set of the weak grid node generator; l (Z) is a relation matrix of active power flow of a weak power grid line and node injection power in a fault state; t (T) k And (Z) is an active power flow vector of the weak power grid transmission line k.
The relation matrix of the active power flow of the weak power grid line and the node injection power in the fault state is as follows:
L(Z)＝bA T (AbA T ) -1
b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. Aiming at N state operation sequences of the 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 load reduction conditions comprise:
number of traction load shedding times N on all nodes LC All node load shedding aggregate LT.
F. Calculating the power supply capacity evaluation index of each node of the weak power grid, and evaluating the power supply capacity intensity of each node according to the index;
the weak power grid power supply capacity evaluation index comprises: node load transfer rate, traction load shedding rate.
F1, a node load transfer rate formula is as follows:
the LTR is a load transfer rate, and the size of the LTR represents the degree of the power supply capability change of the node by adopting a load reduction model based on the importance of the node compared with a conventional load reduction model when the load of the node of the system is reduced; its positive and negative representation considers the node importance reduction principle to increase or decrease the amount of shaving load of a node, which increases or decreases the power supply capacity of the node, as compared to the conventional load reduction principle.
F2, the traction load reduction rate formula is:
the LCR is 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 invention, the weak power grid simulation model containing the electrified railway is built and the power supply capacity is calculated, and the load is reduced 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 electrified railway can be ensured to operate safely and reliably.
Detailed Description
The present invention will be described in further detail with reference to the following embodiments.
The invention discloses a method for calculating the power supply capacity of a weak power grid with an electrified railway, which comprises the following steps:
A. and acquiring node and element information according to a geographical wiring diagram of the weak power grid.
A1, node information comprises: total number of nodes n, voltage class of node i, active load D on node i, i=1, 2, …, n i Active power P injected by generator on node i gi Generator output upper limit P on node i gimax Lower generator output limit P on node i gimin The node importance level class DM and the importance weight coefficient alpha of the node i.
The node importance level DM is divided into: 1) Important: all nodes connected with traction loads; 2) Secondary: 500kV nodes and 220kV nodes; 3) Common: 110kV node.
A2, the element information comprises: total number of lines NL, reactance x of lines k, k=1, 2, …, NL k Mean time between failure MTTF and mean maintenance MTTR for line k, maximum transmission capacity T for line k kmax The number of generators NG, generators g, g=1, 2, …, average no fault on time MTTF and average maintenance time MTTR of NG.
B. Acquiring node position information of an electrified railway traction substation connected with a weak power grid along the line: namely, a certain traction substation is connected to an ith node of the 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 the operation period N of weak power grid 0 The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the average fault-free working time MTTF and the average maintenance time MTTR of the line and the generator; simulation generation of N { x } of weak power grid based on sequential Monte Carlo state duration sampling method according to lambda and mu of element 1 ,x 2 ,…,x ii ,…x m A sequence of state runs (m=nl+ng), where x ii Is 1 or 0.
The component failure rate and repair rate formula is:
D. operating sequence { x } according to state of weak power grid 1 ,x 2 ,…,x ii ,…x m Adjusting system parameters, and calculating all line power flows of the system; if the line power flow is out of limit, the load of the system node is reduced by using a load reduction model based on the importance of the node.
D1, the system parameter adjustment principle is as follows: occurrence of x in state run sequence ii When the 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 and the generator output is adjusted to 0.
D2, the objective function based on the node importance load reduction model is as follows:
wherein alpha is j Representing a weight coefficient aiming at a node importance degree reduction principle; c (C) i The active load of the node i is reduced when the weak power grid fails; subscript i represents a weak grid node number; j represents the importance level number of the weak grid node.
Weight coefficient setting: important node α=1.2; secondary node α=1.1; common node α=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 capacity constraint of a transmission line:
wherein D is i Is the active load on the weak grid node i; p (P) g D and C are respectively an active power aggregate set, an active load aggregate set and an active load reduction aggregate set of the weak grid node generator; l (Z) is a relation matrix of active power flow of a weak power grid line and node injection power in a fault state; t (T) k And (Z) is an active power flow vector of the weak power grid transmission line k.
The relation matrix of the active power flow of the weak power grid line and the node injection power in the fault state is as follows:
L(Z)＝bA T (AbA T ) -1
b is a weak power grid line admittance matrix; a is a node line relation matrix.
E. Aiming at N state operation sequences of the 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 load reduction conditions comprise:
number of traction load shedding times N on all nodes LC All node load shedding aggregate LT.
F. Calculating the power supply capacity evaluation index of each node of the weak power grid, and evaluating the power supply capacity intensity of each node according to the index;
the weak power grid power supply capacity evaluation index comprises: node load transfer rate, traction load shedding rate.
F1, a node load transfer rate formula is as follows:
the LTR is a load transfer rate, and the size of the LTR represents the degree of the power supply capability change of the node by adopting a load reduction model based on the importance of the node compared with a conventional load reduction model when the load of the node of the system is reduced; the positive and negative expressions consider that the node importance degree reducing principle is that the load shedding amount of a node is increased or reduced and the power supply capacity of the node is enhanced or reduced compared with the conventional load reducing principle.
F2, the traction load reduction rate formula is:
the LCR is 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. The method for calculating the power supply capacity of the weak power grid with the electrified railway is characterized by comprising the following steps of:
A. acquiring node and element information according to a geographic wiring diagram of the weak power grid;
a1, node information comprises: total number of nodes n, voltage class of node i, i=1, 2, …Active load D on n i Active power P injected by generator on node i gi Generator output upper limit P on node i gimax Lower generator output limit P on node i gimin The node importance level class DM and the importance weight coefficient alpha of the node i;
the node importance level DM is divided into: 1) Important: all nodes connected with traction loads; 2) Secondary: 500kV nodes and 220kV nodes; 3) Common: 110kV nodes;
a2, the element information comprises: total number of lines NL, reactance x of lines k, k=1, 2, …, NL k Mean time between failure MTTF and mean maintenance MTTR for line k, maximum transmission capacity T for line k kmax The number of generators NG, generators g, g=1, 2, …, average no fault on time MTTF and average maintenance time MTTR of NG;
B. acquiring node position information of an electrified railway traction substation connected with a weak power grid along the line: namely, a certain traction substation is connected to an ith node of the weak power grid, and at the moment, the node i is connected with a traction load;
C. numbering all lines and generators of the weak power grid; setting the operation period N of weak power grid 0 The method comprises the steps of carrying out a first treatment on the surface of the Calculating the fault rate lambda and the repair rate mu of the line and the generator according to the average fault-free working time MTTF and the average maintenance time MTTR of the line and the generator; simulation generation of N state operation sequences { x ] of weak power grid based on sequential Monte Carlo state duration sampling method according to lambda and mu 1 ,x 2 ,…,x ii ,…x m M=nl+ng, x ii Is 1 or 0;
the failure rate and repair rate formulas are:
D. operating sequence { x } according to state of weak power grid 1 ,x 2 ,…,x ii ,…x m Adjusting system parameters, and calculating all line power flows of the system; if the line power flow is out of limit, load cutting based on node importance degree is utilizedThe load reduction is carried out on the system nodes by the reduction model;
d1, the system parameter adjustment principle is as follows: occurrence of x in state run sequence ii When the 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 and the generator output is adjusted to 0;
d2, the objective function based on the node importance load reduction model is as follows:
wherein alpha is j Representing a weight coefficient aiming at a node importance degree reduction principle; c (C) i The active load of the node i is reduced when the weak power grid fails; subscript i represents a weak grid node number; j represents the importance grade number of the weak power grid node;
weight coefficient setting: important node α=1.2; secondary node α=1.1; common node α=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 capacity constraint of a transmission line:
wherein D is i Is the active load on the weak grid node i; p (P) g D and C are respectively an active power aggregate set, an active load aggregate set and an active load reduction aggregate set of the weak grid node generator; l (Z) is a relation matrix of active power flow of a weak power grid line and node injection power in a fault state; t (T) k (Z) is an active power flow vector of the weak power grid transmission line k;
the relation matrix of the active power flow of the weak power grid line and the node injection power in the fault state is as follows:
L(Z)＝bA T (AbA T ) -1
b is a weak power grid line admittance matrix; a is a node line relation matrix;
E. aiming at N state operation sequences of the 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 load reduction conditions comprise:
number of traction load shedding times N on all nodes LC Total load shedding LT of all nodes;
F. calculating the power supply capacity evaluation index of each node of the weak power grid, and evaluating the power supply capacity intensity of each node according to the index;
the weak power grid power supply capacity evaluation index comprises: node load transfer rate, traction load reduction rate;
f1, a node load transfer rate formula is as follows:
the LTR is a load transfer rate, and the size of the LTR represents the degree of the power supply capability change of the node by adopting a load reduction model based on the importance of the node compared with a conventional load reduction model when the load of the node of the system is reduced; the positive and negative representation considers that the node importance degree reducing principle is compared with the conventional load reducing principle, the load shedding amount of a certain node is increased or reduced, and the power supply capacity of the node is enhanced or reduced;
f2, the traction load reduction rate formula is:
the LCR is 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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| US10804736B2 (en) * | 2018-11-13 | 2020-10-13 | Mitsubishi Electric Research Laboratories, Inc. | Methods and systems for post-disaster resilient restoration of power distribution system |
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| US9484747B1 (en) * | 2012-01-25 | 2016-11-01 | Siemens Aktiengesellschaft | Holistic optimization of distribution automation using survivability modeling |
| CN105117839A (en) * | 2015-08-20 | 2015-12-02 | 国家电网公司 | Power system weaknesses identification method based on cascading failure |
| CN105719062A (en) * | 2016-01-15 | 2016-06-29 | 西安交通大学 | Method for assessing risks and weak links of power grid, with double fault probability characteristics considered |
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