WO2020154846A1 - 交流电力网支路开断型静态安全性检验的线性非对称方法 - Google Patents

交流电力网支路开断型静态安全性检验的线性非对称方法 Download PDF

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WO2020154846A1
WO2020154846A1 PCT/CN2019/073438 CN2019073438W WO2020154846A1 WO 2020154846 A1 WO2020154846 A1 WO 2020154846A1 CN 2019073438 W CN2019073438 W CN 2019073438W WO 2020154846 A1 WO2020154846 A1 WO 2020154846A1
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node
branch
power
source
voltage
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French (fr)
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彭建春
江辉
尹健
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Shenzhen University
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Shenzhen University
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Priority to PCT/CN2019/073438 priority patent/WO2020154846A1/zh
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    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—ELECTRIC POWER NETWORKS; 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
    • H02J3/001—Arrangements for handling faults or abnormalities, e.g. emergencies or contingencies
    • H02J3/0012—Arrangements for handling faults or abnormalities, e.g. emergencies or contingencies characterised by the contingency detection means in AC networks, e.g. using phasor measurement units [PMU], synchrophasors or contingency analysis
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/40—Testing power supplies
    • G01R31/42—AC power supplies
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—ELECTRIC POWER NETWORKS; CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J13/00—Circuit arrangements for providing remote monitoring or remote control of equipment in a power distribution network
    • H02J13/12—Monitoring network conditions, e.g. electrical magnitudes or operational status
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—ELECTRIC POWER NETWORKS; 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
    • H02J3/04—Arrangements for connecting networks of the same frequency but supplied from different sources
    • H—ELECTRICITY
    • H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02J—ELECTRIC POWER NETWORKS; CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2103/00—Details of circuit arrangements for mains or AC distribution networks
    • H02J2103/30—Simulating, planning, modelling, reliability check or computer assisted design [CAD] of electric power networks

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  • the invention relates to the field of electric power engineering, and in particular to a linear asymmetric method and a computer-readable storage medium for static safety inspection of branch circuit breakage of AC power network.
  • branch breaking static safety inspection of AC power network is an important guarantee for its safe operation. Since there are thousands of branches in the actual power grid, and the characteristics of rapid reflection of power electronics are becoming more and more prominent, it is urgent to study a new method for fast and accurate branch breaking static safety inspection.
  • the embodiment of the present invention provides a linear asymmetric method and a computer-readable storage medium for static safety inspection of AC power network branch breaking type, aiming to solve the problem of the existing AC power network branch breaking static safety inspection method. The question of accuracy and not speed.
  • the first aspect of the embodiments of the present invention provides a linear asymmetric method for static safety inspection of AC power grid branch breakage, including:
  • the conventional inverse calculation formula of the correction matrix is used to obtain the branch disconnected non-reference node translational voltage increment and voltage phase increment;
  • the static safety of the power grid is verified according to the branch-opening type non-reference node translational voltage and voltage phase, and the branch-opening type non-reference node translational voltage increment and voltage phase increment.
  • the second aspect of the embodiments of the present invention provides a computer-readable storage medium, the computer-readable storage medium stores a computer program, and when the computer program is executed by a processor, it realizes the above-mentioned AC power network branch breaking static security The steps of the linear asymmetric method of testing.
  • the above-mentioned linear asymmetric method of branch breaking static safety inspection of the AC power grid is finally implemented according to the non-reference node translation voltage and voltage phase of the non-branch breaking type, and the branch breaking type non-reference node translation voltage increase.
  • the amount and voltage phase increment test the static safety of the power grid.
  • the non-reference node translational voltage increment and voltage phase increment caused by the branch opening are corrected based on the nodal impedance matrix of the non-branch opening type missing reference node, which avoids resolving the conventional inverse matrix.
  • FIG. 1 is an implementation flowchart of a linear asymmetric method for static safety inspection of an AC power network branch break type according to an embodiment of the present invention
  • Fig. 2 is a schematic structural diagram of a general model of an AC power network provided by an embodiment of the present invention.
  • a linear asymmetric method for static safety inspection of AC power network branch breakage includes the following steps:
  • Step S101 establishing a linear expression of the node source load power with respect to the node translation voltage and voltage phase according to the node source load power and branch admittance in the AC power network;
  • Step S102 Establish a steady-state linear asymmetric model of the AC power network according to the linear expressions of the node source-load power on the node translation voltage and voltage phase and the reference node number;
  • Step S103 according to the steady-state linear asymmetric model of the AC power network, use the conventional inverse matrix to obtain the translational voltage and voltage phase of the non-reference node with no branch breaking type and the node impedance matrix of the missing reference node;
  • Step S104 According to the node impedance matrix of the non-branched open-off reference node and one open branch, the conventional inverse calculation formula of the correction matrix is used to obtain the branch open-off non-reference node translational voltage increment and voltage phase Increment
  • step S105 the static safety of the power network is checked according to the translational voltage and voltage phase of the non-reference node without branch breaking type, and the translational voltage increment and voltage phase increment of the branch breaking non-reference node.
  • All the branches in the AC power network are opened and disconnected in turn, and the scanning inspection of the static security of the power network can be realized by the above method.
  • the power flow value of the intact branch after the branch is broken by this method is calculated based on the nodal impedance matrix correction (rather than recalculating the inverse matrix) of the no-branched broken reference node, which greatly reduces the amount of calculation, and At the same time, the influence of the full variables (not increments) of active and reactive power is also included, and the results are accurate. This solves the problem of inaccuracy and inaccuracy of the existing static safety inspection method for branch circuit breakage of the AC power network.
  • step S101 the method for establishing a linear expression of node source load power with respect to node translation voltage and voltage phase according to the node source load power and branch admittance in the AC power network is specifically:
  • i and j are the number of nodes in the network AC power, and both belong to the set of consecutive natural numbers ⁇ 1,2, ..., n ⁇ ; n is the total number of said AC power network nodes; P i and Q i are source is connected to node i and the active charge-charge reactive power source, and charge the power source referred to as node i; P i is equal to the power supply active power to the node i minus load active power, said Q i It is equal to the reactive power of the power supply connected to the node i minus the reactive power of the load; g ij and b ij are the conductance and susceptance of the branch ij connected between the node i and the node j, and are collectively referred to as the branch ij admittance; j [theta] i and [theta] are the phase node voltage of node j and i; V i and V j are offset in the voltage node i and node
  • step S102 the method for establishing a steady-state linear asymmetric model of the AC power network according to the linear expression of the node source-load power on the node translation voltage and voltage phase and the reference node number is specifically:
  • the steady-state linear asymmetric model of the AC power network is established according to the following relationship:
  • i and j are the numbers of nodes in the AC power network, and both belong to the set of continuous natural numbers ⁇ 1,2,...,n ⁇ ; n is the total number of nodes in the AC power network; the node numbered n is Known reference node; P 1 and Q 1 are the source-load active power and source-load reactive power connected to node 1 respectively, and collectively referred to as the source-load power of node 1; the P 1 is equal to the power source connected to node 1 subtracting active active load, of Q 1 to the node 1 is equal to the reactive power supply by subtracting the load reactive power; P i and Q i are connected to a source node i and a source of active charge-charge reactive power, and collectively referred to as charge power source node i; P i of the i is equal to the node of the load active power active subtracting the Q i is equal to the node i reactive power load reactive power minus Power; P n-1 and Q n-1 are the source-load active
  • the aforementioned power grid steady-state model is linear, and the source-load power, translational voltage, and voltage phase of the reference node are not included in the model.
  • the source-load power of the non-reference node and the source-load power of the reference node are not treated equally. This is why it is called a linear asymmetric model.
  • step S103 the method of using the conventional inverse matrix to obtain the translational voltage and voltage phase of the non-reference node with no branch breaking type and the node impedance matrix of the missing reference node according to the linear asymmetric model of the AC power network steady state is specifically as follows: :
  • the P 1 is equal to the active power of the power supply connected to node 1 minus the active power of the load, and the Q 1 is equal to the reactive power of the power supply connected to node 1 power minus the load reactive power;
  • P i and Q i are connected to a source node i and the active charge-charge reactive power source, and charge the power source referred to as node i;
  • P i of the i is equal to the node active load active power is subtracted, Q i is equal to the reactive power supply connected to node i minus load reactive power;
  • P n-1 and Q n-1 are connected to a source node of the n-1
  • the load active power and source load reactive power are collectively referred to as the source load power of node n-1;
  • the P n-1 is equal to the active power of the power supply connected to node n-1 minus the load active power, and the Q n- 1 is equal to the reactive power of the power supply connected to node n-1 minus the reactive
  • step S104 according to the node impedance matrix of the non-branch open and open reference node and one open branch, the conventional inverse calculation formula of the correction matrix is used to obtain the branch open and open non-reference node translational voltage increment and voltage
  • the specific steps of phase increment include:
  • m and l are the numbers of nodes in the AC power network, and both belong to the set of continuous natural numbers ⁇ 1,2,...,n ⁇ ; n is the total number of nodes in the AC power network; ml is a known one The disconnected branch originally connected between node i and node j; It is the nodal impedance matrix of the non-branched breaking type missing reference node; with Are the node impedance matrix and its increment of the reference node lost after branch ml is broken; k and h are the node impedance matrix respectively Column number and row number of; ⁇ d kh is the non-zero incremental element of the kth row and hth column of the nodal admittance matrix generated after branch ml is broken; with Are the node impedance matrix In the k-th column vector, h-th row vector, h-th row and k-th column element; with Are the voltage phase increments of node 1, node i and node n-1 after branch m
  • the P 1 is equal to the active power of the power source connected to node 1 minus the active power of the load, and the Q 1 is equal to the power source connected to node 1 reactive power minus the load reactive power;
  • P i and Q i are connected to a source node i and the active charge-charge reactive power source, and charge the power source referred to as node i;
  • P i is equal to the node connected to The active power of the power supply of i minus the active power of the load, said Q i is equal to the reactive power of the power supply connected to node i minus the reactive power of the load;
  • P n-1 and Q n-1 are respectively connected to node n-1
  • the source charge active power and source charge reactive power are collectively referred to as the source charge power of node n-1;
  • the P n-1 is equal to the active power of the power supply connected to the node n-1 minus the active power of the load,
  • the Q n -1 is equal to the reactive power of
  • step S105 the specific steps of verifying the static safety of the power network according to the branch-opening type non-reference node translational voltage and voltage phase, and the branch-opening type non-reference node translational voltage increment and voltage phase increment include:
  • i, j, m, and l are the numbers of nodes in the AC power network, and they all belong to the set of continuous natural numbers ⁇ 1,2,...,n ⁇ ; n is the total number of nodes in the AC power network; ml is A known breaking branch originally connected between node i and node j; Is the active power flow on branch ij after branch ml is broken; Is the upper limit of the active power flow that the branch ij can transmit; with Are the voltage phases of node i and node j without branch breaking; with Are the voltage phase increments of node i and node j after branch ml is broken; with Are the translational voltages of non-branched breaking node i and node j, with They are the translational voltage increments of node i and node j after branch ml is broken, and they are both the unit voltage after translation -1.0; g ij and b ij are branches connected between node i and node j, respectively
  • the above-mentioned AC power network branch breaking static safety inspection method is implemented based on the steady-state linear asymmetric model of the AC power network. This is why the present invention is called a linear asymmetric method for static safety inspection of AC power grid branch breaking type.
  • the present invention is called a linear asymmetric method for static safety inspection of AC power grid branch breaking type.
  • this method not only the translational voltage increment and voltage phase increment of the non-reference node caused by the branch opening are corrected based on the nodal impedance matrix of the non-branch opening type missing reference node, it avoids resolving the conventional inverse matrix and greatly reduces
  • the amount of calculation is reduced, and the influence of the full variables (not increments) of active and reactive power is also taken into account, so that the current value of the intact branch after the branch is broken is accurate, which solves the problem of the existing AC power network branch opening.
  • the problem of inaccurate and inaccurate static safety inspection methods are not only the translational voltage increment and voltage phase increment of the non-reference node
  • a computer-readable storage medium provided by an embodiment of the present invention is a medium storing a computer program.
  • the computer program may be a source code program, an object code program, an executable file, or some intermediate form.
  • the computer-readable storage medium may include any entity or device capable of carrying the computer program, such as a U disk, a mobile hard disk, an optical disk, a computer memory, a random access memory, and the like.

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  • Physics & Mathematics (AREA)
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Abstract

一种交流电力网支路开断型静态安全性检验的线性非对称方法，首先根据交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式；再结合参考节点编号建立交流电力网稳态的线性非对称模型；继而利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵；然后根据该节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量；最后根据无支路开断型非参考节点平移电压和电压相位以及支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性，为实现支路轮断式静态安全性检验提供了一种快速准确方法。

Description

交流电力网支路开断型静态安全性检验的线性非对称方法 技术领域
本发明涉及电力工程领域，尤其涉及一种交流电力网支路开断型静态安全性检验的线性非对称方法和计算机可读存储介质。
背景技术
交流电力网的支路开断型静态安全性检验是其安全运行的重要保障。由于实际电力网的支路数以千计，且电力电子化快速反映的特性日益突出，亟待研究既快速又准确的支路开断型静态安全性检验新方法。
现有的交流电力网支路开断型静态安全性检验的方法，要么基于直流潮流方程建立线路潮流与节点源荷有功之间的近似线性表达式实现，要么基于交流潮流的雅可比矩阵建立线路潮流与节点源荷有功和无功之间的局部线性表达式实现。前者由于以近似线性表达式为基础且忽略节点源荷无功功率对线路潮流的影响而不准确，后者因为以局部线性表达式为基础也不准确。若基于完整潮流计算来进行电力网支路开断型静态安全性检验，则又因为计算量巨大而不实用。
因此，现有的交流电力网支路开断型静态安全性检验方法要么不准确，要么不快速，难以适应电力电子化快速反应的现代电力网安全运行的要求。
发明内容
本发明实施例提供一种交流电力网支路开断型静态安全性检验的线性非对称方法和计算机可读存储介质，旨在解决现有的交流电力网支路开断型静态安全性检验方法存在不准确和不快速的问题。
本发明实施例第一方面提供了一种交流电力网支路开断型静态安全性检验 的线性非对称方法，包括：
根据交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式；
根据所述节点源荷功率关于节点平移电压和电压相位的线性表达式、以及参考节点编号建立交流电力网稳态的线性非对称模型；
根据所述交流电力网稳态的线性非对称模型，利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵；
根据所述无支路开断型丢参考节点的节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量；
根据所述无支路开断型非参考节点平移电压和电压相位、以及所述支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性。
本发明实施例第二方面提供了一种计算机可读存储介质，所述计算机可读存储介质存储有计算机程序，所述计算机程序被处理器执行时实现上述交流电力网支路开断型静态安全性检验的线性非对称方法的步骤。
上述交流电力网支路开断型静态安全性检验的线性非对称方法在实施过程中最后根据无支路开断型非参考节点平移电压和电压相位、以及支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性。一方面，这种方法中支路开断引起的非参考节点平移电压增量和电压相位增量基于无支路开断型丢参考节点的节点阻抗矩阵修正得到，避免了重新求解常规逆矩阵，大大减小了计算量；另一方面，它同时计入了有功和无功全变量(而非增量)的影响，使获取的支路开断后完好支路潮流值准确。从而解决了现有的交流电力网支路开断型静态安全性检验方法不准确和不快速的问题。
附图说明
为了更清楚地说明本发明实施例技术方案，下面将对实施例描述中所需要使用的附图作简单地介绍，显而易见地，下面描述中附图是本发明的一些实施 例，对于本领域普通技术人员来讲，在不付出创造性劳动的前提下，还可以根据这些附图获得其他的附图。
图1是本发明实施例提供的一种交流电力网支路开断型静态安全性检验的线性非对称方法的实现流程图；
图2是本发明实施例提供的交流电力网通用模型的结构示意图。
具体实施方式
以下描述中，为了说明而不是为了限定，提出了诸如特定系统结构、技术之类的具体细节，以便透彻理解本发明实施例。然而，本领域的技术人员应当清楚，在没有这些具体细节的其它实施例中也可以实现本发明。在其它情况中，省略对众所周知的系统、装置、电路以及方法的详细说明，以免不必要的细节妨碍本发明的描述。
为了说明本发明所述的技术方案，下面通过具体实施例来进行说明。
请参见图1和图2，本发明实施例提供的一种交流电力网支路开断型静态安全性检验的线性非对称方法，包括以下步骤：
步骤S101,根据交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式；
步骤S102,根据所述节点源荷功率关于节点平移电压和电压相位的线性表达式、以及参考节点编号建立交流电力网稳态的线性非对称模型；
步骤S103,根据所述交流电力网稳态的线性非对称模型，利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵；
步骤S104,根据所述无支路开断型丢参考节点的节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量；
步骤S105,根据所述无支路开断型非参考节点平移电压和电压相位、以及所述支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性。
对交流电力网中的全部支路轮流开断，按上述方法即可实现电力网静态安全性的扫描检验。这种方法给出的支路开断后完好支路潮流值，基于无支路开断型丢参考节点的节点阻抗矩阵修正(而非重新计算逆矩阵)求取、大大减小了计算量，而且还同时计入了有功和无功全变量(而非增量)的影响、结果准确。从而解决了现有的交流电力网支路开断型静态安全性检验方法不准确和不快速的问题。
步骤S101中，所述根据所述交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式的方法具体为：
按照如下关系式建立节点源荷功率关于节点平移电压和电压相位的线性表达式：
Figure PCTCN2019073438-appb-000001
Figure PCTCN2019073438-appb-000002
其中，i和j均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；所述P i等于接于节点i的电源有功功率减去负荷有功功率，所述Q i等于接于节点i的电源无功功率减去负荷无功功率；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳；θ i和θ j分别为节点i和节点j的电压相位；v i和v j分别为节点i和节点j的平移电压，且都是平移-1.0后的标幺值电压。
步骤S102中，所述根据所述节点源荷功率关于节点平移电压和电压相位的线性表达式、以及参考节点编号建立交流电力网稳态的线性非对称模型的方法具体为：
按照如下关系式建立交流电力网稳态的线性非对称模型：
Figure PCTCN2019073438-appb-000003
且
Figure PCTCN2019073438-appb-000004
先置零、再扫描支路按下式累加构建：
Figure PCTCN2019073438-appb-000005
Figure PCTCN2019073438-appb-000006
其中，i和j均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；编号为n的节点是已知的参考节点；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；所述P 1等于接于节点1的电源有功功率减去负荷有功功率，所述Q 1等于接于节点1的电源无功功率减去负荷无功功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；所述P i等于接于节点i的电源有功功率减去负荷有功功率，所述Q i等于接于节点i的电源无功功率减去负荷无功功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率；所述P n-1等于接于节点n-1的电源有功功率减去负荷有功功率，所述Q n-1等于接于节点n-1的电源无功功率减去负荷无功功率；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳；θ 1、θ i和θ n-1分别为节点1、节点i和节点n-1的电压相位；v 1、v i和v n-1分别为节点1、节点i和节点n-1的平移电压，且都是平移-1.0后的标幺值电压；
Figure PCTCN2019073438-appb-000007
是2(n-1)×2(n-1)维无支路开断型丢参考节点的节点导纳矩阵；
Figure PCTCN2019073438-appb-000008
Figure PCTCN2019073438-appb-000009
都分别是所述节点导纳矩阵
Figure PCTCN2019073438-appb-000010
中第2i-1行第2i-1列、第2i-1行第2i列、第2i-1行第2j-1列、第2i-1行第2j列、第2i行第2i-1列、第2i行第2i列、第2i行第2j-1列、第2i行第2j列的元素。
上述电力网稳态模型是线性的，且参考节点的源荷功率、平移电压和电压相位都未被列入该模型中，非参考节点的源荷功率与参考节点的源荷功率未被等同对待，这正是称之为线性非对称模型的缘故。
步骤S103中，所述根据所述交流电力网稳态的线性非对称模型，利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节 点阻抗矩阵的方法具体为：
按照如下关系式获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵：
Figure PCTCN2019073438-appb-000011
其中，i为交流电力网中节点的编号，且属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；
Figure PCTCN2019073438-appb-000012
和
Figure PCTCN2019073438-appb-000013
分别为无支路开断型节点1、节点i和节点n-1的电压相位；
Figure PCTCN2019073438-appb-000014
和
Figure PCTCN2019073438-appb-000015
分别为无支路开断型节点1、节点i和节点n-1的平移电压，且都是平移-1.0后的标幺值电压；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；所述P 1等于接于节点1的电源有功功率减去负荷有功功率，所述Q 1等于接于节点1的电源无功功率减去负荷无功功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；所述P i等于接于节点i的电源有功功率减去负荷有功功率，所述Q i等于接于节点i的电源无功功率减去负荷无功功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率；所述P n-1等于接于节点n-1的电源有功功率减去负荷有功功率，所述Q n-1等于接于节点n-1的电源无功功率减去负荷无功功率；
Figure PCTCN2019073438-appb-000016
是2(n-1)×2(n-1)维无支路开断型丢参考节点的节点导纳矩阵，且
Figure PCTCN2019073438-appb-000017
是它的常规逆矩阵；
Figure PCTCN2019073438-appb-000018
是无支路开断型丢参考节点的节点阻抗矩阵。
步骤S104中，根据所述无支路开断型丢参考节点的节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量的具体步骤包括：
先将无支路开断型丢参考节点的节点阻抗矩阵赋值给支路开断型丢参考节点的节点阻抗矩阵：
Figure PCTCN2019073438-appb-000019
并利用修正矩阵的常规逆计算公式按下述两式交替迭代计算出一条支路开断后丢参考节点的节点阻抗矩阵增量。
Figure PCTCN2019073438-appb-000020
Figure PCTCN2019073438-appb-000021
Δd kh∈{支路ml开断后产生的节点导纳矩阵的全部非零增量元素}
再按下式计算一条支路开断后非参考节点平移电压增量和电压相位增量；
Figure PCTCN2019073438-appb-000022
其中，m和l均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；ml是已知的一条原来连接在节点i和节点j之间的开断支路；
Figure PCTCN2019073438-appb-000023
是无支路开断型丢参考节点的节点阻抗矩阵；
Figure PCTCN2019073438-appb-000024
和
Figure PCTCN2019073438-appb-000025
分别是支路ml开断后丢参考节点的节点阻抗矩阵及其增量；k和h分别是所述节点阻抗矩阵
Figure PCTCN2019073438-appb-000026
的列号和行号；Δd kh是支路ml开断后产生的节点导纳矩阵第k行第h列的非零增量元素；
Figure PCTCN2019073438-appb-000027
和
Figure PCTCN2019073438-appb-000028
分别是所述节点阻抗矩阵
Figure PCTCN2019073438-appb-000029
中第k列向量、第h行向量、第h行第k列元素；
Figure PCTCN2019073438-appb-000030
和
Figure PCTCN2019073438-appb-000031
分别为支路ml开断后节点1、节点i和节点n-1的电压相位增量；
Figure PCTCN2019073438-appb-000032
和
Figure PCTCN2019073438-appb-000033
分别为支路ml开断后节点1、节点i和节点n-1的平移电压增量，且都是平移-1.0后的标幺值电压；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；所述P 1等于接于节点1的电源有功功率减去负荷有功功率，所述Q 1等于接于节点1的电源无功功率减去负荷无功功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；所述P i等于接于节点i的电源有功功率减去负荷有功功率，所述Q i等于接于节点i的电源无功功率减去负荷无功功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率；所述P n-1等于接于节点n-1的电源有功功率减去负荷有功功率，所述Q n-1等于接于节点n-1的电源无功功率减去负荷无功功率。
步骤S105中，根据所述无支路开断型非参考节点平移电压和电压相位、以及所述支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性的具体步骤包括：
先按下式计算一条支路开断后任意一条完好支路的潮流。
Figure PCTCN2019073438-appb-000034
再对全部完好支路的潮流检验是否满足
Figure PCTCN2019073438-appb-000035
若满足则该支路开断后电力网是静态安全的，否则是静态不安全的。
其中，i、j、m和l均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；ml是已知的一条原来连接在节点i和节点j之间的开断支路；
Figure PCTCN2019073438-appb-000036
是支路ml开断后支路ij上的有功潮流；
Figure PCTCN2019073438-appb-000037
是支路ij能够传输的有功潮流上限值；
Figure PCTCN2019073438-appb-000038
和
Figure PCTCN2019073438-appb-000039
分别是无支路开断型节点i和节点j的电压相位；
Figure PCTCN2019073438-appb-000040
和
Figure PCTCN2019073438-appb-000041
分别是支路ml开断后节点i和节点j的电压相位增量；
Figure PCTCN2019073438-appb-000042
和
Figure PCTCN2019073438-appb-000043
分别是无支路开断型节点i和节点j的平移电压，
Figure PCTCN2019073438-appb-000044
和
Figure PCTCN2019073438-appb-000045
分别是支路ml开断后节点i和节点j的平移电压增量，且它们都是平移-1.0后的标幺值电压；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳。
上述交流电力网支路开断型静态安全性检验方法，是基于交流电力网稳态的线性非对称模型实现的。这正是称本发明为交流电力网支路开断型静态安全性检验的线性非对称方法的缘故。这种方法，不仅支路开断引起的非参考节点平移电压增量和电压相位增量基于无支路开断型丢参考节点的节点阻抗矩阵修正得到、避免了重新求解常规逆矩阵、大大减小了计算量，还同时计入了有功和无功全变量(而非增量)的影响、使获取的支路开断后完好支路潮流值准确，从而解决了现有的交流电力网支路开断型静态安全性检验方法不准确和不快速的问题。
本发明实施例提供的一种计算机可读存储介质，是存储有计算机程序的介质。所述计算机程序可以为源代码程序、对象代码程序、可执行文件或某些中间形式等。所述计算机程序被处理器执行时实现如上实施例所述交流电力网支路开断型静态安全性检验的线性非对称方法的步骤。所述计算机可读存储介质可以包括能够携带所述计算机程序的任何实体或装置，例如U盘、移动硬盘、光盘、计算机存储器、随机存取存储器等。
以上所述实施例仅用以说明本发明的技术方案，而非对其限制；尽管参照前述实施例对本发明进行了详细的说明，本领域的普通技术人员应当理解：其依然可以对前述各实施例所记载的技术方案进行修改，或者对其中部分技术特征进行等同替换；而这些修改或者替换，并不使相应技术方案的本质脱离本发明各实施例技术方案的精神和范围，均应包含在本发明的保护范围之内。

Claims (7)

  1. 一种交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，包括：
    根据交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式；
    根据所述节点源荷功率关于节点平移电压和电压相位的线性表达式、以及参考节点编号建立交流电力网稳态的线性非对称模型；
    根据所述交流电力网稳态的线性非对称模型，利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵；
    根据所述无支路开断型丢参考节点的节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量；
    根据所述无支路开断型非参考节点平移电压和电压相位、以及所述支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性。
  2. 根据权利要求1所述的交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，所述根据交流电力网中节点源荷功率和支路导纳建立节点源荷功率关于节点平移电压和电压相位的线性表达式的方法具体为：
    按照如下关系式建立节点源荷功率关于节点平移电压和电压相位的线性表达式：
    Figure PCTCN2019073438-appb-100001
    Figure PCTCN2019073438-appb-100002
    其中，i和j均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳；θ i和θ j分别为 节点i和节点j的电压相位；υ i和υ j分别为节点i和节点j的平移电压，且都是平移-1.0后的标幺值电压。
  3. 根据权利要求1所述的交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，所述根据所述节点源荷功率关于节点平移电压和电压相位的线性表达式、以及参考节点编号建立交流电力网稳态的线性非对称模型的方法具体为：
    按照如下关系式建立交流电力网稳态的线性非对称模型：
    Figure PCTCN2019073438-appb-100003
    且
    Figure PCTCN2019073438-appb-100004
    先置零、再扫描支路按下式累加构建：
    Figure PCTCN2019073438-appb-100005
    Figure PCTCN2019073438-appb-100006
    其中，i和j均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；编号为n的节点是已知的参考节点；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳；θ 1、θ i和θ n-1分别为节点1、节点i和节点n-1的电压相位；υ 1、υ i和υ n-1分别为节点1、节点i和节点n-1的平移电压，且都是平移-1.0后的标幺值电压；
    Figure PCTCN2019073438-appb-100007
    是2(n-1)×2(n-1)维无支路开断型丢参考节点的节点导纳矩阵；
    Figure PCTCN2019073438-appb-100008
    Figure PCTCN2019073438-appb-100009
    都是所述节点导纳矩阵
    Figure PCTCN2019073438-appb-100010
    中的元素。
  4. 根据权利要求1所述的交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，所述根据所述交流电力网稳态的线性非对称模型，利用常规逆矩阵获取无支路开断型非参考节点平移电压和电压相位以及丢参考节 点的节点阻抗矩阵的方法具体为：
    按照如下关系式获取无支路开断型非参考节点平移电压和电压相位以及丢参考节点的节点阻抗矩阵：
    Figure PCTCN2019073438-appb-100011
    Figure PCTCN2019073438-appb-100012
    其中，i为交流电力网中节点的编号，且属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；
    Figure PCTCN2019073438-appb-100013
    和
    Figure PCTCN2019073438-appb-100014
    分别为无支路开断型节点1、节点i和节点n-1的电压相位；
    Figure PCTCN2019073438-appb-100015
    和
    Figure PCTCN2019073438-appb-100016
    分别为无支路开断型节点1、节点i和节点n-1的平移电压，且都是平移-1.0后的标幺值电压；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率；
    Figure PCTCN2019073438-appb-100017
    是2(n-1)×2(n-1)维无支路开断型丢参考节点的节点导纳矩阵，且
    Figure PCTCN2019073438-appb-100018
    是它的常规逆矩阵；
    Figure PCTCN2019073438-appb-100019
    是无支路开断型丢参考节点的节点阻抗矩阵。
  5. 根据权利要求1所述的交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，所述根据所述无支路开断型丢参考节点的节点阻抗矩阵和一条开断支路，利用修正矩阵的常规逆计算公式获取支路开断型非参考节点平移电压增量和电压相位增量的步骤包括：
    先将无支路开断型丢参考节点的节点阻抗矩阵赋值给支路开断型丢参考节点的节点阻抗矩阵：
    Figure PCTCN2019073438-appb-100020
    并利用修正矩阵的常规逆计算公式按下述两式交替迭代计算出一条支路开断后丢参考节点的节点阻抗矩阵增量；
    Figure PCTCN2019073438-appb-100021
    Figure PCTCN2019073438-appb-100022
    Δd kh∈{支路ml开断后产生的节点导纳矩阵的全部非零增量元素}
    再按下式计算一条支路开断后非参考节点平移电压增量和电压相位增量；
    Figure PCTCN2019073438-appb-100023
    其中，m和l均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；ml是已知的一条原来连接在节点i和节点j之间的开断支路；
    Figure PCTCN2019073438-appb-100024
    是无支路开断型丢参考节点的节点阻抗矩阵；
    Figure PCTCN2019073438-appb-100025
    和
    Figure PCTCN2019073438-appb-100026
    分别是支路ml开断后丢参考节点的节点阻抗矩阵及其增量；k和h分别是所述节点阻抗矩阵
    Figure PCTCN2019073438-appb-100027
    的列号和行号；Δd kh是支路ml开断后产生的节点导纳矩阵第k行第h列的非零增量元素；
    Figure PCTCN2019073438-appb-100028
    和
    Figure PCTCN2019073438-appb-100029
    分别是所述节点阻抗矩阵
    Figure PCTCN2019073438-appb-100030
    中第k列向量、第h行向量、第h行第k列元素；
    Figure PCTCN2019073438-appb-100031
    和
    Figure PCTCN2019073438-appb-100032
    分别为支路ml开断后节点1、节点i和节点n-1的电压相位增量；
    Figure PCTCN2019073438-appb-100033
    和
    Figure PCTCN2019073438-appb-100034
    分别为支路ml开断后节点1、节点i和节点n-1的平移电压增量，且都是平移-1.0后的标幺值电压；P 1和Q 1分别为接于节点1的源荷有功功率和源荷无功功率，且统称为节点1的源荷功率；P i和Q i分别为接于节点i的源荷有功功率和源荷无功功率，且统称为节点i的源荷功率；P n-1和Q n-1分别为接于节点n-1的源荷有功功率和源荷无功功率，且统称为节点n-1的源荷功率。
  6. 根据权利要求1所述的交流电力网支路开断型静态安全性检验的线性非对称方法，其特征在于，所述根据所述无支路开断型非参考节点平移电压和电压相位、以及所述支路开断型非参考节点平移电压增量和电压相位增量检验电力网静态安全性的步骤包括：
    先按下式计算一条支路开断后任意一条完好支路的潮流；
    Figure PCTCN2019073438-appb-100035
    再对全部完好支路的潮流检验是否满足
    Figure PCTCN2019073438-appb-100036
    若满足则该支路开断后电力网是静态安全的，否则是静态不安全的；
    其中，i、j、m和l均为交流电力网中节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述交流电力网中节点的总个数；ml是已知的一条原来连接在节点i和节点j之间的开断支路；
    Figure PCTCN2019073438-appb-100037
    是支路ml开断后支路ij上的有功潮流；
    Figure PCTCN2019073438-appb-100038
    是支路ij能够传输的有功潮流上限值；
    Figure PCTCN2019073438-appb-100039
    和
    Figure PCTCN2019073438-appb-100040
    分别是无支路开断型节点i和节 点j的电压相位；
    Figure PCTCN2019073438-appb-100041
    和
    Figure PCTCN2019073438-appb-100042
    分别是支路ml开断后节点i和节点j的电压相位增量；
    Figure PCTCN2019073438-appb-100043
    和
    Figure PCTCN2019073438-appb-100044
    分别是无支路开断型节点i和节点j的平移电压，
    Figure PCTCN2019073438-appb-100045
    和
    Figure PCTCN2019073438-appb-100046
    分别是支路ml开断后节点i和节点j的平移电压增量，且它们都是平移-1.0后的标幺值电压；g ij和b ij分别是连接在节点i和节点j之间的支路ij的电导和电纳，且统称为支路ij的导纳。
  7. 一种计算机可读存储介质，所述计算机可读存储介质存储有计算机程序，其特征在于，所述计算机程序被处理器执行时实现如权利要求1至6任一项所述交流电力网支路开断型静态安全性检验的线性非对称方法的步骤。
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