WO2020154847A1 - 获取交流电力网中源荷的网损功率分量的对称方法 - Google Patents

获取交流电力网中源荷的网损功率分量的对称方法 Download PDF

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WO2020154847A1
WO2020154847A1 PCT/CN2019/073440 CN2019073440W WO2020154847A1 WO 2020154847 A1 WO2020154847 A1 WO 2020154847A1 CN 2019073440 W CN2019073440 W CN 2019073440W WO 2020154847 A1 WO2020154847 A1 WO 2020154847A1
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node
power
source
network
load
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French (fr)
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江辉
彭建春
刘艺涛
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Shenzhen University
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Shenzhen University
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Priority to US16/630,253 priority Critical patent/US11165251B2/en
Priority to CN201980002748.6A priority patent/CN111758197B/zh
Priority to PCT/CN2019/073440 priority patent/WO2020154847A1/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
    • H02J3/007—Arrangements for selectively connecting one or more loads to one or more power sources or power lines
    • 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
    • H02J3/38—Arrangements for feeding a single network from two or more generators or sources in parallel; Arrangements for feeding already energised networks from additional generators or sources in parallel
    • H02J3/46—Controlling the sharing of generated power between the generators, sources or networks
    • H02J3/48—Controlling the sharing of active power
    • 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
    • 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
    • H02J3/00—Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38—Arrangements for feeding a single network from two or more generators or sources in parallel; Arrangements for feeding already energised networks from additional generators or sources in parallel
    • H02J3/46—Controlling the sharing of generated power between the generators, sources or networks
    • H02J3/50—Controlling the sharing of reactive power
    • 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
    • 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
    • H02J2103/35—Grid-level management of power transmission or distribution systems, e.g. load flow analysis or active network management
    • 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
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • 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
    • Y04S40/00—Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them
    • Y04S40/20—Information technology specific aspects, e.g. CAD, simulation, modelling, system security

Definitions

  • the present invention relates to the field of electric power engineering, and in particular to a symmetric method and computer readable storage medium for obtaining the power component of the network loss of (electric) source (negative) load in an AC power network.
  • the loss power in the existing AC power grid dispatching is either derived from the equivalent current of the source load and expressed based on the nodal impedance matrix; or from the power of the source load, based on the branch loss accumulation and DC power flow equations.
  • the former is dependent on the power flow solution because it needs to use the power flow solution to determine the equivalent current of the source load, and does not apply to the requirements of dynamic changes in the power flow.
  • the latter cannot be included in the source load reactive power loss due to the DC power flow equations.
  • the obtained network loss power expression varies with the reference node (not unique). The non-uniqueness of the expression of the network loss power does not conform to the uniqueness principle of the circuit electromagnetic field.
  • the existing grid loss power expressions of AC power grids either cannot accurately track the dynamic changes of the source load power, or cannot account for the influence of reactive power and the result is not unique, and needs to be improved urgently.
  • the embodiment of the present invention provides a symmetrical method and computer-readable storage medium for obtaining the lossy power component of a source load in an AC power network, and aims to solve the problem that the existing method for obtaining the lossy power of the AC power network cannot accurately track the source load power
  • the dynamic changes of the system, and can not be included in the reactive power impact and the result is not unique.
  • the first aspect of the embodiments of the present invention provides a symmetric method for obtaining the power component of the source load in an AC power network, including:
  • the M-P inverse matrix is used to establish a linear symmetric matrix expression of the node translation voltage and the node voltage phase of the entire network with respect to the source load power of the nodes of the entire network;
  • 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, the above-mentioned acquisition of the power loss of the source load in the AC power network is achieved Steps of the component symmetry method.
  • the above-mentioned symmetric method for obtaining the power component of the source load in the AC power network is implemented according to the symmetric algebraic expression of the power loss on the source load of the entire network node and the Shapley value theorem to establish the symmetry of the power component of the source load.
  • the algebraic calculation formula realizes the acquisition of the power component of the source load in the AC power network.
  • the symmetric algebraic calculation formula of the power component of the source load is applicable to the source load power of all nodes in the AC power network (including active and reactive power), the source load power of all nodes is treated equally, and the network loss of the source load The power component is therefore symmetrical and unique to all source loads; on the other hand, since the symmetrical algebraic calculation formula of the source load’s network loss power component is a full variable (not incremental) expression of the source load power, it is therefore The large range of source load power changes are accurate. This solves the problem that the existing methods for obtaining the grid loss power in AC power grid dispatching cannot accurately track the dynamic changes of the source load power, cannot account for the impact of reactive power and the results are not unique.
  • FIG. 1 is an implementation flowchart of a method for obtaining a symmetrical power component of a source load in an AC power network 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 method for obtaining a symmetrical power component of a source load in an AC power network includes the following steps:
  • Step S101 establishing a linear expression of the node source load power with respect to the node translation voltage and the node voltage phase according to the known node source load power and branch admittance in the AC power network;
  • Step S102 establishing a steady-state linear symmetric model of the AC power network according to the linear expression of the node source-load power with respect to the node translation voltage and the node voltage phase;
  • Step S103 according to the steady-state linear symmetric model of the AC power network, use the M-P inverse matrix to establish a linear symmetric matrix expression of the node translation voltage and the node voltage phase of the entire network with respect to the node source load power of the entire network;
  • Step S104 Establish a symmetric algebraic expression of the network loss power with respect to the source load power of the nodes in the whole network according to the linear symmetric matrix expression of the translational voltage of the nodes in the whole network and the node voltage phase with respect to the source load power of the nodes in the whole network;
  • Step S105 Establish a symmetric algebraic calculation formula for obtaining the network loss power component of the source load according to the symmetric algebraic expression of the network loss power with respect to the source load power of the nodes in the entire network and the Shapley value theorem.
  • the source load power of all nodes in the AC power network is calculated according to the above symmetrical algebraic calculation formula, and the network loss power component of all node source loads can be obtained, so as to achieve the acquisition of the network loss power component of the source load in the AC power network.
  • the network loss power component of the source load obtained in this way is not only symmetrical and unique for all source loads, but also accurate for large-scale changes of the source load power, thereby solving the existing method of obtaining the network loss power in AC power network dispatching Can not accurately track the dynamic changes of source load power, can not account for the impact of reactive power and the results are not unique problems.
  • step S101 the method of establishing a linear expression of the node source load power with respect to the node translation voltage and the node voltage phase according to the node source load power and branch admittance in the AC power network is specifically:
  • i and k 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 ik and b ik are the conductance and susceptance of the branch ik connected between the node i and the node k, and are collectively called the branch ik admittance; [theta] i and [theta] k are the phase voltage of the node i and the node k; V i and V k are offset in the voltage node i and node k
  • step S102 the method for establishing a steady-state linear symmetric model of the AC power network according to the linear expression of the node source-load power with respect to the node translation voltage and the node voltage phase is specifically:
  • 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; P 1 and Q 1 respectively Is the source load active power and source load reactive power connected to node 1, and collectively referred to as the source load power of node 1.
  • the P 1 is equal to the active power of the power source connected to node 1 minus the active power of the load, the Q 1 power supply to the node is equal to the reactive power by subtracting a 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 active power between the power of node i by subtracting the load active power, Q i is equal to the power supply to the node i by subtracting the reactive power load reactive power;
  • P n and Q n are connected to a node
  • the source charge active power and source charge reactive power of n are collectively referred to as the source charge power of node n;
  • the P n is equal to the active power of the power supply connected to node n minus the active power of the load, and the Q n is equal to the active power connected to the node
  • the above-mentioned steady-state model of the power grid is linear, and all the node source load powers are included in the model and are treated equally. This is why it is called the linear symmetric model.
  • step S103 the method of using the M-P inverse matrix to establish the linear symmetric matrix expression of the translational voltage and the phase of the node voltage in the whole network with respect to the source load power of the nodes in the whole network is specifically as follows:
  • i is the number of the node in the AC power network, and belongs to the set of continuous natural numbers ⁇ 1,2,...,n ⁇ ; n is the total number of nodes in the AC power network; ⁇ 1 , ⁇ i and ⁇ n are respectively The voltage phases of node 1, node i and node n; v 1 , v i and v n are the translational voltages of node 1, node i and node n respectively, and they are all standard unit voltages after translation -1.0; P 1 and Q 1 is the source load active power and source load reactive power connected to node 1, and collectively referred to as the source load power of node 1.
  • the P 1 is equal to the active power of the power supply connected to node 1 minus the active power of the load, so said Q is equal to 1 to the node 1 is the reactive power by subtracting power load reactive power;
  • P i and Q i are connected to a source node i and a source charge active reactive power source charge, and referred to as node i charge power;
  • P i is equal to the active power between the power of node i by subtracting the load active power, Q i is equal to the reactive power supply to the node i minus the load reactive power;
  • P n and Q n are The source load active power and source load reactive power connected to node n are collectively referred to as the source load power of node n;
  • the P n is equal to the active power of the power supply connected to node n minus the active power of the load, and the Q n is equal to The reactive power of the power supply connected to the node n minus the reactive power of the load;
  • step S104 the method for establishing a symmetric algebraic expression of network loss power with respect to the source load power of the whole network node according to the linear symmetric matrix expression of the translational voltage of the whole network node and the node voltage phase with respect to the source load power of the whole network node is specifically for:
  • i, k, and h 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; ik is The branch between node i and node k; ⁇ is the set of all branches in the AC power network; g ik and b ik are the conductance and susceptance of the branch ik connected between node i and node k, and Collectively referred to as the admittance of branch ik; P L is the loss power of AC power network; a 2i-1,2h-1 , a 2k-1,2h-1 , a 2i-1,2h , a 2k-1,2h , A 2i, 2h-1 , a 2k, 2h-1 , a 2i, 2h , a 2k, 2h are respectively the MP inverse matrix of the 2n ⁇ 2n-dimensional full-node admit
  • step S105 the method for establishing a symmetric algebraic calculation formula for obtaining the network loss power component of the source load according to the symmetric algebraic expression and the Shapley value theorem of the network loss power with respect to the source load power of the entire network node is specifically:
  • i, j, k, and h 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; ik is The branch connected between node i and node k; ⁇ is the set of all branches in the AC power network; P Lj is the component of the source load connected to node j in the power loss of the AC power network, referred to as the source load Network loss power component; g ik and b ik are the conductance and susceptance of branch ik connected between node i and node k, and are collectively referred to as the admittance of branch ik; a 2i-1,2h-1 , a 2k-1,2h-1 , a 2i-1,2h , a 2k-1,2h , a 2i,2h-1 , a 2k,2h-1 , a 2i,2h-1
  • the above-mentioned symmetrical algebraic calculation formula for the power component of the source load is applicable to the source load power of all nodes in the AC power network, and the source load power of all nodes is treated equally. This is exactly what the present invention is called to obtain the source load in the AC power network. Because of the symmetrical method of the power component.
  • the symmetrical algebraic formula is a full variable (not incremental) expression of the source load power, so it is accurate for a wide range of source load power changes.
  • This symmetrical and precise relationship between the grid loss power component and the source load power solves the problem that the existing methods for obtaining the grid loss power in AC power grid scheduling cannot accurately track the dynamic changes of the source load power, and cannot account for reactive power effects and results. The only problem.
  • 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 steps of the symmetric method for obtaining the grid loss power component of the source load in the AC power network are implemented as described in the above embodiment.
  • 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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Abstract

一种获取交流电力网中源荷的网损功率分量的对称方法，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节点电压相位的线性表达式；再据此建立交流电力网稳态的线性对称模型；接着利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式；然后根据该线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式；最后利用Shapley值定理建立获取源荷的网损功率分量的对称代数计算式，从而实现交流电力网中源荷的网损功率分量的获取。这种源荷的网损功率分量为交流电力网调度中计入网损、保障其运行经济性提供了一种新的高效准确工具。

Description

获取交流电力网中源荷的网损功率分量的对称方法 技术领域
本发明涉及电力工程领域，尤其涉及一种获取交流电力网中(电)源(负)荷的网损功率分量的对称方法和计算机可读存储介质。
背景技术
在交流电网中，网损功率(电网有功损耗功率)与源荷功率的深层次简洁精准关系，是交流电力网调度中高效计入网损、保障运行经济性的关键。源荷的网损功率分量是一种深层次的高效计入网损的新工具、亟待研发。
现有的交流电力网调度中的网损功率，要么从源荷的等值电流出发，基于节点阻抗矩阵推导表达；要么从源荷的功率出发，基于支路损耗累加和直流潮流方程组推导表达。前者因为要借助潮流解来确定源荷的等值电流而对潮流解具有依赖性，不适用潮流动态变化的要求，后者因为要借助直流潮流方程组而无法计入源荷无功对网损的影响，且所得网损功率表达式随参考节点变化(不唯一)。网损功率表达式的这种非唯一性不符合电路电磁场的唯一性原理。
因此，现有的交流电力网的网损功率表达式要么不能准确跟踪源荷功率的动态变化，要么无法计入无功影响和结果不唯一，亟待完善。
发明内容
本发明实施例提供一种获取交流电力网中源荷的网损功率分量的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的网损功率的获取方法存在不能准确跟踪源荷功率的动态变化，且无法计入无功影响和结果不唯一的问题。
本发明实施例第一方面提供了一种获取交流电力网中源荷的网损功率分量 的对称方法，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节点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节点电压相位的线性表达式建立交流电力网稳态的线性对称模型；
根据所述交流电力网稳态的线性对称模型，利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式；
根据所述全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式；
根据所述网损功率关于全网节点源荷功率的对称代数表达式和Shapley值定理建立获取源荷的网损功率分量的对称代数计算式。
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获取交流电力网中源荷的网损功率分量的对称方法的步骤。
上述获取交流电力网中源荷的网损功率分量的对称方法在实施过程中根据网损功率关于全网节点源荷功率的对称代数表达式和Shapley值定理建立获取源荷的网损功率分量的对称代数计算式，实现交流电力网中源荷的网损功率分量的获取。一方面，由于源荷的网损功率分量的对称代数计算式适用交流电力网中全部节点的源荷功率(包括有功和无功)、全部节点的源荷功率都被等同对待，源荷的网损功率分量因此对所有源荷都是对称、唯一的；另一方面，由于源荷的网损功率分量的对称代数计算式是源荷功率的全变量(而非增量)表达式，它因此对源荷功率的大范围变化都准确。从而解决了现有的获取交流电力网调度中网损功率的方法不能准确跟踪源荷功率的动态变化，无法计入无功影响和结果不唯一的问题。
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获取交流电力网中源荷的网损功率分量的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。
请参阅图1和图2，本发明实施例提供的一种获取交流电力网中源荷的网损功率分量的对称方法包括以下步骤：
步骤S101,根据已知的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节点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节点电压相位的线性表达式建立交流电力网稳态的线性对称模型；
步骤S103,根据所述交流电力网稳态的线性对称模型，利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式；
步骤S104,根据所述全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式；
步骤S105,根据所述网损功率关于全网节点源荷功率的对称代数表达式和 Shapley值定理建立用于获取源荷的网损功率分量的对称代数计算式。
对交流电力网中全部节点源荷功率都按照上述对称代数计算式计算，即可得到全部节点源荷的网损功率分量，从而实现交流电力网中源荷的网损功率分量的获取。这样获取的源荷的网损功率分量不仅对所有源荷都是对称、唯一的，而且对源荷功率的大范围变化都准确，从而解决了现有的获取交流电力网调度中网损功率的方法不能准确跟踪源荷功率的动态变化、无法计入无功影响和结果不唯一的问题。
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节点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节点电压相位的线性表达式：
Figure PCTCN2019073440-appb-000001
Figure PCTCN2019073440-appb-000002
其中，i和k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 ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；θ i和θ k分别为节点i和节点k的电压相位；v i和v k分别为节点i和节点k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节点电压相位的线性表达式建立交流电力网稳态的线性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对称模型：
[P 1Q 1…P iQ i…P nQ n] T＝(G *,*)[θ 1v 1…θ iv i…θ nv n] T
且(G *,*)先置零、再扫描支路按下式累加构建：G 2i-1,2i-1＝G 2i-1,2i-1-b ij， G 2i-1,2i＝G 2i-1,2i+g ij，G 2i-1,2j-1＝G 2i-1,2j-1+b ij，G 2i-1,2j＝G 2i-1,2j-g ij，G 2i,2i-1＝G 2i,2i-1-g ij，G 2i,2i＝G 2i,2i-b ij，G 2i,2j-1＝G 2i,2j-1+g ij，G 2i,2j＝G 2i,2j+b ij。
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 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和Q n分别为接于节点n的源荷有功功率和源荷无功功率，且统称为节点n的源荷功率；所述P n等于接于节点n的电源有功功率减去负荷有功功率，所述Q n等于接于节点n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分别为节点1、节点i和节点n的电压相位；v 1、v i和v n分别为节点1、节点i和节点n的平移电压，且都是平移-1.0后的标幺值电压；(G *,*)是2n×2n维全节点导纳矩阵；G 2i-1,2i-1、G 2i-1,2i、G 2i-1,2j-1、G 2i-1,2j、G 2i,2i-1、G 2i,2i、G 2i,2j-1、G 2i,2j都分别是所述全节点导纳矩阵(G *,*)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，且全部节点源荷功率都被列入该模型中、都被等同对待，这正是称之为线性对称模型的缘故。
步骤S103中，所述根据所述交流电力网稳态的线性对称模型，利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式的方法具体为：
按照如下关系式建立全网节点平移电压和节点电压相位关于全网节点源荷 功率的线性对称矩阵表达式：
[θ 1v 1…θ iv i…θ nv n] T＝(a *,*)[P 1Q 1…P iQ i…P nQ n] T
(a *,*)＝(G *,*) +
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；θ 1、θ i和θ n分别为节点1、节点i和节点n的电压相位；v 1、v i和v n分别为节点1、节点i和节点n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和Q n分别为接于节点n的源荷有功功率和源荷无功功率，且统称为节点n的源荷功率；所述P n等于接于节点n的电源有功功率减去负荷有功功率，所述Q n等于接于节点n的电源无功功率减去负荷无功功率；(G *,*)是2n×2n维全节点导纳矩阵；上标符号+是求M-P逆矩阵的运算符；(a *,*)是所述全节点导纳矩阵(G *,*)的M-P逆矩阵。
步骤S104中，所述根据所述全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式的方法具体为：
基于网损功率表达式常识：P L＝∑ ik∈Ωg ik[(θ i-θ k) 2+(v i-v k) 2]，按照如下关系式建立网损功率关于全网节点源荷功率的对称代数表达式：
Figure PCTCN2019073440-appb-000003
其中，i、k和h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；ik是连接在节点i和节点k之间 的支路；Ω是交流电力网中所有支路构成的集合；g ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；P L是交流电力网的网损功率；a 2i-1,2h-1、a 2k-1,2h-1、a 2i-1,2h、a 2k-1,2h、a 2i,2h-1、a 2k,2h-1、a 2i,2h、a 2k,2h都分别是2n×2n维全节点导纳矩阵的M-P逆矩阵中第2i-1行第2h-1列、第2k-1行第2h-1列、第2i-1行第2h列、第2k-1行第2h列、第2i行第2h-1列、第2k行第2h-1列、第2i行第2h列、第2k行第2h列的元素；P h和Q h分别为接于节点h的源荷有功功率和源荷无功功率，且统称为节点h的源荷功率；所述P h等于接于节点h的电源有功功率减去负荷有功功率，所述Q h等于接于节点h的电源无功功率减去负荷无功功率。
步骤S105中，所述根据所述网损功率关于全网节点源荷功率的对称代数表达式和Shapley值定理建立获取源荷的网损功率分量的对称代数计算式的方法具体为：
按照如下关系式建立源荷的网损功率分量的对称代数计算式：
Figure PCTCN2019073440-appb-000004
其中，i、j、k和h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；ik是连接在节点i和节点k之间的支路；Ω是交流电力网中所有支路构成的集合；P Lj是交流电力网的网损功率中归属接于节点j的源荷的分量，简称源荷的网损功率分量；g ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；a 2i-1,2h-1、a 2k-1,2h-1、a 2i-1,2h、a 2k-1,2h、a 2i,2h-1、a 2k,2h-1、a 2i,2h、a 2k,2h、a 2i-1,2j-1、a 2k-1,2j-1、a 2i-1,2j、a 2k-1,2j、a 2i,2j-1、a 2k,2j-1、a 2i,2j、a 2k,2j都分别是2n×2n维全节点导纳矩阵的M-P逆矩阵中第2i-1行第2h-1列、第2k-1行第2h-1列、第2i-1行第2h列、第2k-1行第2h列、第2i行第2h-1列、第 2k行第2h-1列、第2i行第2h列、第2k行第2h列、第2i-1行第2j-1列、第2k-1行第2j-1列、第2i-1行第2j列、第2k-1行第2j列、第2i行第2j-1列、第2k行第2j-1列、第2i行第2j列、第2k行第2j列的元素；P h和Q h分别为接于节点h的源荷有功功率和源荷无功功率，且统称为节点h的源荷功率；所述P h等于接于节点h的电源有功功率减去负荷有功功率，所述Q h等于接于节点h的电源无功功率减去负荷无功功率；P j和Q j分别为接于节点j的源荷有功功率和源荷无功功率，且统称为节点j的源荷功率；所述P j等于接于节点j的电源有功功率减去负荷有功功率，所述Q j等于接于节点j的电源无功功率减去负荷无功功率。
上述源荷的网损功率分量的对称代数计算式适用交流电力网中全部节点的源荷功率，全部节点的源荷功率都被等同对待，这正是称本发明为获取交流电力网中源荷的网损功率分量的对称方法的缘故。此外，该对称代数计算式是源荷功率的全变量(而非增量)表达式，它因此对源荷功率的大范围变化都准确。这种网损功率分量与源荷功率之间的对称精准关系解决了现有的获取交流电力网调度中网损功率的方法不能准确跟踪源荷功率的动态变化、无法计入无功影响和结果不唯一的问题。
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获取交流电力网中源荷的网损功率分量的对称方法的步骤。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. 一种获取交流电力网中源荷的网损功率分量的对称方法，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节点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节点电压相位的线性表达式建立交流电力网稳态的线性对称模型；
    根据所述交流电力网稳态的线性对称模型，利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式；
    根据所述全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式；
    根据所述网损功率关于全网节点源荷功率的对称代数表达式和Shapley值定理建立获取源荷的网损功率分量的对称代数计算式。
  2. 根据权利要求1所述的获取交流电力网中源荷的网损功率分量的对称方法，其特征在于，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节点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节点电压相位的线性表达式：
    Figure PCTCN2019073440-appb-100001
    Figure PCTCN2019073440-appb-100002
    其中，i和k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 ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；θ i和θ k分别为节点i和节点k的电压相位；υ i和υ k分别为节点i和节点k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所述的获取交流电力网中源荷的网损功率分量的对称方法，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节点电压相位的线性表达式建立交流电力网稳态的线性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对称模型：
    [P 1Q 1…P iQ i…P nQ n] T＝(G *,*)[θ 1υ 1…θ iυ i…θ nυ n] T
    且(G *,*)先置零、再扫描支路按下式累加构建：G 2i-1,2i-1＝G 2i-1,2i-1-b ij，G 2i-1,2i＝G 2i-1,2i+g ij，G 2i-1,2j-1＝G 2i-1,2j-1+b ij，G 2i-1,2j＝G 2i-1,2j-g ij，G 2i,2i-1＝G 2i,2i-1-g ij，G 2i,2i＝G 2i,2i-b ij，G 2i,2j-1＝G 2i,2j-1+g ij，G 2i,2j＝G 2i,2j+b ij；
    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 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和Q n分别为接于节点n的源荷有功功率和源荷无功功率，且统称为节点n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分别为节点1、节点i和节点n的电压相位；υ 1、υ i和υ n分别为节点1、节点i和节点n的平移电压，且都是平移-1.0后的标幺值电压；(G *,*)是2n×2n维全节点导纳矩阵；G 2i-1,2i-1、G 2i-1,2i、G 2i-1,2j-1、G 2i-1,2j、G 2i,2i-1、G 2i,2i、G 2i,2j-1、G 2i,2j都是所述全节点导纳矩阵(G *,*)中的元素。
  4. 根据权利要求1所述的获取交流电力网中源荷的网损功率分量的对称方法，其特征在于，所述根据所述交流电力网稳态的线性对称模型，利用M-P逆矩阵建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式的方法具体为：
    按照如下关系式建立全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式：
    [θ 1υ 1…θ iυ i…θ nυ n] T＝(a *,*)[P 1Q 1…P iQ i…P nQ n] T
    (a *,*)＝(G *,*) +
    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；θ 1、θ i和θ n分别为节点1、节点i和节点n的电压相位；υ 1、υ i和υ n分别为节点1、节点i和节点n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和Q n分别为接于节点n的源荷有功功率和源荷无功功率，且统称为节点n的源荷功率；(G *,*)是2n×2n维全节点导纳矩阵；上标符号+是求M-P逆矩阵的运算符；(a *,*)是所述全节点导纳矩阵(G *,*)的M-P逆矩阵。
  5. 根据权利要求1所述的获取交流电力网中源荷的网损功率分量的对称方法，其特征在于，所述根据所述全网节点平移电压和节点电压相位关于全网节点源荷功率的线性对称矩阵表达式建立网损功率关于全网节点源荷功率的对称代数表达式的方法具体为：
    基于网损功率表达式常识：P L＝∑ ik∈Ωg ik[(θ i-θ k) 2+(υ i-υ k) 2]，按照如下关系式建立网损功率关于全网节点源荷功率的对称代数表达式：
    Figure PCTCN2019073440-appb-100003
    其中，i、k和h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；ik是连接在节点i和节点k之间的支路；Ω是交流电力网中所有支路构成的集合；g ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；P L是交流电力网的网损功率；a 2i-1,2h-1、a 2k-1,2h-1、a 2i-1,2h、a 2k-1,2h、a 2i,2h-1、a 2k,2h-1、a 2i,2h、a 2k,2h都是2n×2n维全节点导纳矩阵的M-P逆矩阵中的元素；P h和Q h分别为接 于节点h的源荷有功功率和源荷无功功率，且统称为节点h的源荷功率。
  6. 根据权利要求1所述的获取交流电力网中源荷的网损功率分量的对称方法，其特征在于，所述根据所述网损功率关于全网节点源荷功率的对称代数表达式和Shapley值定理建立获取源荷的网损功率分量的对称代数计算式的方法具体为：
    按照如下关系式建立源荷的网损功率分量的对称代数计算式：
    Figure PCTCN2019073440-appb-100004
    其中，i、j、k和h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；ik是连接在节点i和节点k之间的支路；Ω是交流电力网中所有支路构成的集合；P Lj是交流电力网的网损功率中归属接于节点j的源荷的分量，简称源荷的网损功率分量；g ik和b ik分别是连接在节点i和节点k之间的支路ik的电导和电纳，且统称为支路ik的导纳；a 2i-1,2h-1、a 2k-1,2h-1、a 2i-1,2h、a 2k-1,2h、a 2i,2h-1、a 2k,2h-1、a 2i,2h、a 2k,2h、a 2i-1,2j-1、a 2k-1,2j-1、a 2i-1,2j、a 2k-1,2j、a 2i,2j-1、a 2k,2j-1、a 2i,2j、a 2k,2j都是2n×2n维全节点导纳矩阵的M-P逆矩阵中的元素；P h和Q h分别为接于节点h的源荷有功功率和源荷无功功率，且统称为节点h的源荷功率；P j和Q j分别为接于节点j的源荷有功功率和源荷无功功率，且统称为节点j的源荷功率。
  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任一项所述获取交流电力网中源荷的网损功率分量的对称方法的步骤。
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