WO2018209477A1 - 获取直流电力网功率传输系数的均衡电导补偿型偏心方法 - Google Patents

获取直流电力网功率传输系数的均衡电导补偿型偏心方法 Download PDF

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WO2018209477A1
WO2018209477A1 PCT/CN2017/084283 CN2017084283W WO2018209477A1 WO 2018209477 A1 WO2018209477 A1 WO 2018209477A1 CN 2017084283 W CN2017084283 W CN 2017084283W WO 2018209477 A1 WO2018209477 A1 WO 2018209477A1
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node
power
conductance
power network
conductance compensation
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彭建春
江辉
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Shenzhen University
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Shenzhen University
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Priority to US16/002,748 priority patent/US10985554B2/en
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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
    • H02J1/00—Circuit arrangements for DC mains or DC distribution networks
    • H02J1/14—Balancing load and power generation in DC networks
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
    • G01R19/25—Arrangements for measuring currents or voltages or for indicating presence or sign thereof using digital measurement techniques
    • G01R19/2513—Arrangements for monitoring electric power systems, e.g. power lines or loads; Logging
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R21/00—Arrangements for measuring electric power or power factor
    • G01R21/133—Arrangements for measuring electric power or power factor by using digital technique
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/16—Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization
    • 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
    • H02J1/00—Circuit arrangements for DC mains or DC distribution networks
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06—Power analysis or power optimisation

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  • the invention relates to the field of electric power engineering, in particular to an equalization conductance compensation type eccentric method for obtaining a power transmission coefficient of a direct current power network.
  • DC power grid is an emerging power transmission network. Drawing on the control method of the traditional AC power network branch road safety, the power transmission coefficient of the DC power network is an indispensable tool for the control of its branch safety. Therefore, an accurate, fast and reliable method for obtaining the power transmission coefficient of the DC power network needs to be developed.
  • the global linear acquisition method of the power transmission coefficient of the AC power grid is based on the assumption that the voltage amplitude of each node is equal to 1.0 p.u. and the voltage phase difference between the nodes of each branch is close to zero, simplifying the steady state model of the AC power grid.
  • the node voltage in the DC power network only contains amplitude (excluding phase). If the voltage of each node is assumed to be equal to 1.0 pu, the power transmitted by each branch is always zero.
  • the AC power network theory cannot be used to obtain the global power transmission coefficient of the DC power network. Linear acquisition method.
  • the steady-state model based on the linearization of the DC power network is used to obtain the power transmission coefficient of the DC power network, the local linear characteristics cannot meet the accuracy requirements of the safety regulation of the branch when the operating state of the DC power network changes widely. Therefore, there is no global linear acquisition method for the DC power network power transmission coefficient.
  • the existing local linearization acquisition method does not adapt to the wide range of DC power network operation state.
  • Embodiments of the present invention provide an equalization conductance compensation type eccentricity method for acquiring a power transmission coefficient of a DC power network, which can realize global linearization acquisition of a power transmission coefficient of a DC power network.
  • the invention provides an equalization conductance compensation type eccentric method for obtaining a power transmission coefficient of a DC power network, comprising:
  • an inverse matrix is used to establish a balanced conductance compensation global linear eccentric matrix relation of a non-reference node translation voltage with respect to a non-reference node injection power
  • the embodiment of the present invention first establishes a balanced linear conductivity relationship of the node injection power with respect to the node translation voltage according to the node load parameter and the node power parameter in the known DC power network; and then according to the balanced conductance compensation type global linearity Relationship And a known reference node number to establish a steady-state conductance compensation global linear eccentricity model of the DC power grid; according to the balanced conductance compensation type global linear eccentricity model, the inverse matrix is used to establish the non-reference node translation voltage with respect to the non-reference node injection Balanced conductance-compensated global linear eccentric matrix relation of power; then, according to the balanced conductance compensation type global linear eccentric matrix relation, establish a balanced conductance compensation global linear eccentric relationship of branch transmission power with respect to non-reference node injection power; Obtaining a power transmission coefficient of the DC power network according to the definition of the balanced linear conductivity eccentricity of the equalization conductance compensation type and the known power transmission coefficient; the steady state model of the DC power network is adopted and the power expression is included by
  • FIG. 1 is a flowchart of an implementation of an equalization conductance compensation type eccentricity method for acquiring a power transmission coefficient of a DC power network according to an embodiment of the present invention
  • FIG. 2 is a schematic structural diagram of a general model of a DC power network according to an embodiment of the present invention.
  • FIG. 1 is a flowchart of an implementation of an equalization conductance compensation type eccentricity method for acquiring a power transmission coefficient of a DC power network according to an embodiment of the present invention.
  • the equalization conductance compensation type eccentric method for obtaining the DC power network power transmission coefficient as shown in the figure may include the following steps:
  • step 101 an equalized conductance compensation global linear relationship of the node injection power with respect to the node translation voltage is established according to the node load parameter and the node power parameter in the known DC power network.
  • Step 101 is specifically: establishing a global linear relationship of the balanced conductance compensation type of the node injection power with respect to the node translation voltage according to the following relationship:
  • P Gi , P Di , n, g ik , v i0 , v k0 are all known DC power network parameters.
  • All the variables in the above-mentioned balanced conductance compensation global linear relation are global variables, not increments; in addition, the coefficients ⁇ ik g ik and - ⁇ i of v i and v k in the above-mentioned equalization conductance compensation type global linear relation * g ik are self-conducting and mutual conductance, respectively, which increase the conductance terms (v i0 -0.5v k0 )g ik and -0.5v i0 g ik , respectively, compared to conventional self-conductance and mutual conductance.
  • the above-mentioned balanced conductance compensation global linear relationship is established according to the operating characteristics of the DC power network.
  • the operating characteristic of the DC power network is that the "node translation voltage" obtained after the voltage of each node in the DC power network is shifted to -1.0 is small, and the constant is used instead of the branch.
  • the product of the path conductance and its end node translation voltage has little effect on the accuracy of the result.
  • step 102 according to the balanced conductance compensation type global linear relationship and the known parameters
  • the test node number establishes a steady-state conductance compensation global linear eccentricity model for DC power grid steady state.
  • Step 102 is specifically: establishing a steady-state conductance compensation global linear eccentricity model of the DC power grid according to the following relationship:
  • P G1 , P D1 , P Gi , P Di , P Gn-1 , P Dn-1 , (G ij ) are known DC power network parameters.
  • the translation voltage of the reference node is assigned to a voltage center of zero value, and the center is completely biased toward the reference node, which is why the above model is a balanced conductance compensation type global linear eccentricity model.
  • step 103 according to the equalization conductance compensation type global linear eccentricity model, an inverse matrix is used to establish an equalization conductance compensation type global linear eccentric matrix relation of the non-reference node translation voltage with respect to the non-reference node injection power.
  • Step 103 is specifically: establishing a balanced conductance compensation global linear eccentric matrix relationship of the non-reference node translation voltage with respect to the non-reference node injection power according to the following relationship:
  • (G ij ) -1 is the inverse matrix of the equalization conductance compensation node conductance matrix (G ij ) of the DC power network;
  • P G1 is the power supply of node 1;
  • P Gi is the power supply of node i;
  • P Gn-1 Is the power supply of node n-1;
  • P D1 is the load power of node 1;
  • P Di is the load power of node i;
  • P Dn-1 is the load power of node n-1;
  • v 1 is the translation voltage of node 1;
  • i is the translation voltage of node i;
  • v n-1 is the translation voltage of node n-1, and
  • v 1 , v i and v n-1 are the standard value voltages after translation -1.0.
  • step 104 an equalized conductance compensation global linear eccentricity relation of the branch transmission power with respect to the non-reference node injection power is established according to the equilibrium conductance compensation type global linear eccentric matrix relation.
  • Step 104 is specifically: establishing a balanced conductance compensation global linear eccentric relationship of the branch transmission power with respect to the injection power of the non-reference node according to the following relationship:
  • g ik is the conductance of the branch ik connected between node i and node k;
  • v i0 is the base point translation voltage of node i;
  • v k0 is the base point translation voltage of node k, and v i0 and v k0 are both The value of the standard value after translation -1.0;
  • P ik is the power transmitted by the branch ik;
  • n is the total number of nodes in the DC power network;
  • a ij is the equalization conductance compensation type node conductance matrix of the DC power network (G ij The element of the i-th row and the j-th column of the inverse matrix; a kj is
  • step 105 the power transfer coefficients of the DC power grid are obtained based on the definition of the equalization conductance compensation type global linear eccentricity and the known power transfer coefficients.
  • Step 105 is specifically: calculating a power transmission coefficient of the DC power network according to the following relationship:
  • a kj is the element of the kth row and the jth column of the inverse matrix of the equalization conductance compensation type node conductance matrix (G ij ) of the DC power network.
  • the above relationship is based on the conventional inverse matrix of the equalization conductance compensation type node conductance matrix of the DC power network, and the inverse matrix must exist, so that it can be reliably obtained.
  • the global linear characteristic of the relationship between the above-mentioned branch transmission power and the non-reference node injection power makes the calculation of the power transmission coefficient accurate and fast when the operating state of the DC power network is widely changed. Therefore, the equalization conductance compensation type eccentric method for obtaining the power transmission coefficient of the DC power network is accurate, fast, and reliable.

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Abstract

一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法，首先根据节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式（101）；然后根据均衡电导补偿型全局线性关系式和参考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型（102）；利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式（103）；再建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式（104）；最后根据均衡电导补偿型全局线性偏心关系式获取直流电力网的功率传输系数（105）。该方法精度高、计算快速可靠，且在电力网运行状态大范围变化时提高了调控的准确性和实时性。

Description

获取直流电力网功率传输系数的均衡电导补偿型偏心方法 技术领域
本发明涉及电力工程领域，尤其涉及一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法。
背景技术
直流电力网是一种新兴的电能传输网络。借鉴传统交流电力网支路安全性的调控方法，直流电力网功率传输系数是其支路安全性调控的必备工具。因此，获取直流电力网功率传输系数的准确、快速、可靠方法亟待开发。
交流电力网功率传输系数的全局线性获取方法，是假定各节点电压幅值等于1.0p.u.和各支路两端节点的电压相位差接近零，简化交流电力网稳态模型的基础上得到的。直流电力网中节点电压只含幅值(不含相位)，若假定各节点电压等于1.0p.u.，则各支路传输的功率恒为零，借鉴交流电力网理论无法得到直流电力网功率传输系数的全局线性获取方法。若采用基于直流电力网运行基点线性化的稳态模型获取直流电力网功率传输系数，则其局部线性特征又无法满足直流电力网运行状态大范围变化时支路安全性调控的精度要求。因此，对直流电力网功率传输系数，目前尚无全局线性的获取方法，现有的局部线性化的获取方法又不适应直流电力网运行状态的大范围变化。
发明内容
本发明实施例提供一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法，能够实现直流电力网功率传输系数的全局线性化获取。
本发明提供了一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法，包括：
根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式；
根据所述均衡电导补偿型全局线性关系式和已知的参考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型；
根据所述均衡电导补偿型全局线性偏心模型，利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式；
根据所述均衡电导补偿型全局线性偏心矩阵关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式；
根据所述均衡电导补偿型全局线性偏心关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数。
本发明实施例通过首先根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式；然后根据所述均衡电导补偿型全局线性关系 式和已知的参考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型；根据所述均衡电导补偿型全局线性偏心模型，利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式；再根据所述均衡电导补偿型全局线性偏心矩阵关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式；最后根据所述均衡电导补偿型全局线性偏心关系式和已知的功率传输系数的定义获取直流电力网的功率传输系数；由于采用了直流电力网的稳态模型并通过均衡电导补偿计入了功率表达式中非线性项的影响，故计算精度高；又由于其全局线性特征，故不仅对任意结构直流电力网功率传输系数的计算快速可靠，而且适应电力网运行状态大范围变化时调控的准确性和实时性要求，从而解决了对直流电力网功率传输系数当前尚无全局线性的获取方法，而局部线性化的获取方法又不适应直流电力网运行状态大范围变化的问题。
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，下面描述中的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直流电力网功率传输系数的均衡电导补偿型偏心方法的实现流程图；
图2是本发明实施例提供的直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。
参见图1，图1是本发明实施例提供的一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法的实现流程图。如图所示的获取直流电力网功率传输系数的均衡电导补偿型偏心方法可包括以下步骤：
在步骤101中，根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式。
步骤101具体为：按照如下关系式建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式：
Figure PCTCN2017084283-appb-000001
其中，i和k均为直流电力网中的节点的编号，且都属于连续自然 数的集合{1，2，…，n}；n为直流电力网中的节点的总个数；PGi为接于节点i的电源功率；PDi为接于节点i的负荷功率；PGi-PDi为节点i的注入功率；gik是连接在节点i和节点k之间的支路ik的电导；vi为节点i的平移电压；vk为节点k的平移电压，且vi和vk都是平移-1.0后的标幺值电压；μik是按照μik＝(1+vi0-0.5vk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5vi0)确定的第二直流电力网参数；vi0为节点i的基点平移电压；vk0为节点k的基点平移电压，且vi0和vk0都是平移-1.0后的标幺值电压。
PGi、PDi、n、gik、vi0、vk0都是已知的直流电力网参数。
上述均衡电导补偿型全局线性关系式中的所有变量都是全局变量、并非增量；此外，上述均衡电导补偿型全局线性关系式中的vi和vk的系数μikgik和-μi*gik分别是自电导和互电导，两者与传统自电导和互电导相比分别增加了电导项(vi0-0.5vk0)gik和-0.5vi0gik。这两个电导项是将上述关系式右边原始功率表达式的非线性项均衡分配(即按Shapley值分配)给vi和vk、再归集出vi和vk的系数并在基点量化这两个系数得到的，用于补偿原始功率表达式的非线性项。这正是称上述关系式为均衡电导补偿型全局线性关系式的缘故。
上述均衡电导补偿型全局线性关系式是按照直流电力网运行特性建立的，直流电力网运行特性为直流电力网中各节点电压平移-1.0后得到的“节点平移电压”很小，用常量替代支路电导与其端节点平移电压的乘积时对结果的精度影响很小。
在步骤102中，根据均衡电导补偿型全局线性关系式和已知的参 考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型。
步骤102具体为：按照如下关系式建立直流电力网稳态的均衡电导补偿型全局线性偏心模型：
Figure PCTCN2017084283-appb-000002
其中，PG1为节点1的电源功率；PGi为节点i的电源功率；PGn-1为节点n-1的电源功率；PD1为节点1的负荷功率；PDi为节点i的负荷功率；PDn-1是节点n-1的负荷功率；j是直流电力网中节点的编号，且属于连续自然数的集合{1，2，…，n}；gij是连接在节点i和节点j之间的支路ij的电导；gik是连接在节点i和节点k之间的支路ik的电导；n为直流电力网中的节点的总个数；编号为n的节点是已知的参考节点；(Gij)是删除参考节点的行和列之后的直流电力网的均衡电导补偿型节点电导矩阵，均衡电导补偿型节点电导矩阵的维数是(n-1)×(n-1)；Gij是均衡电导补偿型节点电导矩阵(Gij)中第i行第j列的元素；v1为节点1的平移电压；vi为节点i的平移电压；vn-1为节点n-1的平移电压，且v1、vi和vn-1都是平移-1.0后的标幺值电压；μik是按照μik＝(1+vi0-0.5vk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5vi0)确定的第二直流电力网参数；vi0为节点i的基点平移电压；vk0为节点k的基点平移电压，且vi0和vk0都是平移-1.0后的标幺值电压。
PG1、PD1、PGi、PDi、PGn-1、PDn-1、(Gij)都是已知的直流电力网参数。
上述均衡电导补偿型全局线性偏心模型中，参考节点的平移电压被指定为零值的电压中心，该中心完全偏向参考节点，这正是称上述模型为均衡电导补偿型全局线性偏心模型的缘故。
在步骤103中，根据均衡电导补偿型全局线性偏心模型，利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式。
步骤103具体为：按照如下关系式建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式：
Figure PCTCN2017084283-appb-000003
其中，(Gij)-1是直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵；PG1为节点1的电源功率；PGi为节点i的电源功率；PGn-1为节点n-1的电源功率；PD1为节点1的负荷功率；PDi为节点i的负荷功率；PDn-1是节点n-1的负荷功率；v1为节点1的平移电压；vi为节点i的平移电压；vn-1为节点n-1的平移电压，且v1、vi和vn-1都是平移-1.0后的标幺值电压。
由于上述均衡电导补偿型全局线性偏心矩阵关系式是全局变量(而非增量)关系式，按它计算得到的非参考节点平移电压在节点注入功率大范围变化时，也就是直流电力网运行状态大范围变化时是 准确的，且线性特征还使计算快速可靠。
在步骤104中，根据均衡电导补偿型全局线性偏心矩阵关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式。
步骤104具体为：按照如下关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式：
Figure PCTCN2017084283-appb-000004
其中，gik是连接在节点i和节点k之间的支路ik的电导；μik是按照μik＝(1+vi0-0.5vk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5vi0)确定的第二直流电力网参数；vi0为节点i的基点平移电压；vk0为节点k的基点平移电压，且vi0和vk0都是平移-1.0后的标幺值电压；Pik是支路ik传输的功率；n为直流电力网中的节点的总个数；aij是直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第i行第j列的元素；akj是直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第k行第j列的元素；PGj是接于节点j的电源功率；PDj是接于节点j的负荷功率，PGj-PDj为节点j的注入功率。
在步骤105中，根据均衡电导补偿型全局线性偏心关系式和已知的功率传输系数的定义获取直流电力网的功率传输系数。
步骤105具体为：按照如下关系式计算直流电力网的功率传输系数：
Dik，j＝(μikaij-μi*akj)gik
其中，gik是连接在节点i和节点k之间的支路ik的电导；Dik，j是从节点j到支路ik的功率传输系数；μik是按照μik＝(1+vi0-0.5vk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5vi0)确定的第二直流电力网参数；vi0为节点i的基点平移电压；vk0为节点k的基点平移电压，且vi0和vk0都是平移-1.0后的标幺值电压；aij是直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第i行第j列的元素；akj是直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第k行第j列的元素。
对直流电力网中支路与非参考节点的全部组合，按照上述关系式计算得到的所有结果就是直流电力网的功率传输系数，从而实现直流电力网功率传输系数的获取。
上述关系式以直流电力网的均衡电导补偿型节点电导矩阵的常规逆矩阵为基础，该逆矩阵一定存在，因此能可靠求得。另外，上述支路传输功率关于非参考节点注入功率的关系式的全局线性特性，使功率传输系数的计算在直流电力网运行状态大范围变化时准确、快速。因此，这种获取直流电力网功率传输系数的均衡电导补偿型偏心方法准确、快速、可靠。
应理解，上述实施例中各步骤的序号的大小并不意味着执行顺序的先后，各过程的执行顺序应按其功能和内在逻辑确定，而不应对本发明实施例的实施过程构成任何限定。
本领域普通技术人员可以意识到，结合本文中所公开的实施例描述的示例的单元及算法步骤，能够以电子硬件、或者计算机软件和电子硬 件的结合来实现。这些功能究竟以硬件还是软件方式来执行，取决于技术方案的特定应用和设计约束条件。专业技术人员可以对每个特定的应用使用不同方法来实现所描述的功能，但是这种实现不应认为超出本发明的范围。

Claims (6)

  1. 一种获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述获取直流电力网潮流的均衡电导补偿型全局线性偏心方法包括：
    根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式；
    根据所述均衡电导补偿型全局线性关系式和已知的参考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型；
    根据所述均衡电导补偿型全局线性偏心模型，利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式；
    根据所述均衡电导补偿型全局线性偏心矩阵关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式；
    根据所述均衡电导补偿型全局线性偏心关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数。
  2. 根据权利要求1所述的获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述根据已知的直流电力网中的节点负荷参数和节点电源参数建立节点注入功率关于节点平移电压的均衡电导补偿型全局线性关系式具体为：
    按照如下关系式建立节点注入功率关于节点平移电压的均衡电 导补偿型全局线性关系式：
    Figure PCTCN2017084283-appb-100001
    其中，i和k均为直流电力网中的节点的编号，且都属于连续自然数的集合{1,2,…,n}；n为所述直流电力网中的节点的总个数；PGi为接于节点i的电源功率；PDi为接于所述节点i的负荷功率；PGi-PDi为所述节点i的注入功率；gik是连接在所述节点i和节点k之间的支路ik的电导；υi为所述节点i的平移电压；υk为所述节点k的平移电压，且所述υi和所述υk都是平移-1.0后的标幺值电压；μik是按照μik＝(1+υi0-0.5υk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5υi0)确定的第二直流电力网参数；υi0为所述节点i的基点平移电压；υk0为所述节点k的基点平移电压，且所述υi0和所述υk0都是平移-1.0后的标幺值电压。
  3. 根据权利要求1所述的获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述根据所述均衡电导补偿型全局线性关系式和已知的参考节点编号建立直流电力网稳态的均衡电导补偿型全局线性偏心模型具体为：
    按照如下关系式建立直流电力网稳态的均衡电导补偿型全局线性偏心模型：
    Figure PCTCN2017084283-appb-100002
    其中，PG1为节点1的电源功率；PGi为节点i的电源功率；PGn-1为节点n-1的电源功率；PD1为所述节点1的负荷功率；PDi为所述节点i的负荷功率；PDn-1是所述节点n-1的负荷功率；j是所述直流电力网中节点的编号，且属于连续自然数的集合{1,2,…,n}；gij是连接在所述节点i和所述节点j之间的支路ij的电导；gik是连接在所述节点i和节点k之间的支路ik的电导；n为所述直流电力网中的节点的总个数；编号为n的节点是已知的参考节点；(Gij)是删除参考节点的行和列之后的直流电力网的均衡电导补偿型节点电导矩阵，所述均衡电导补偿型节点电导矩阵的维数是(n-1)×(n-1)；Gij是所述均衡电导补偿型节点电导矩阵(Gij)中第i行第j列的元素；υ1为所述节点1的平移电压；υi为所述节点i的平移电压；υn-1为所述节点n-1的平移电压，且所述υ1、所述υi和所述υn-1都是平移-1.0后的标幺值电压；μik是按照μik＝(1+υi0-0.5υk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5υi0)确定的第二直流电力网参数；υi0为所述节点i的基点平移电压；υk0为所述节点k的基点平移电压，且所述υi0和所述υk0都是平移-1.0后的标幺值电压。
  4. 根据权利要求1所述的获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述根据所述均衡电导补偿型全局线性偏心模型，利用逆矩阵建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式具体为：
    按照如下关系式建立非参考节点平移电压关于非参考节点注入功率的均衡电导补偿型全局线性偏心矩阵关系式：
    Figure PCTCN2017084283-appb-100003
    其中，(Gij)-1是所述直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵；PG1为节点1的电源功率；PGi为节点i的电源功率；PGn-1为节点n-1的电源功率；PD1为所述节点1的负荷功率；PDi为所述节点i的负荷功率；PDn-1是所述节点n-1的负荷功率；υ1为所述节点1的平移电压；υi为所述节点i的平移电压；υn-1为所述节点n-1的平移电压，且所述υ1、所述υi和所述υn-1都是平移-1.0后的标幺值电压。
  5. 根据权利要求1所述的获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述根据所述均衡电导补偿型全局线性偏心矩阵关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式具体为：
    按照如下关系式建立支路传输功率关于非参考节点注入功率的均衡电导补偿型全局线性偏心关系式：
    Figure PCTCN2017084283-appb-100004
    其中，gik是连接在节点i和节点k之间的支路ik的电导；μik是按照μik＝(1+υi0-0.5υk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5υi0)确定的第二直流电力网参数；υi0为所述节点i的基点平移电压；υk0为所述节点k的基点平移电压，且所述υi0和所述υk0都 是平移-1.0后的标幺值电压；Pik是所述支路ik传输的功率；n为所述直流电力网中的节点的总个数；aij是所述直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第i行第j列的元素；akj是所述直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第k行第j列的元素；PGj是接于所述节点j的电源功率；PDj是接于所述节点j的负荷功率，PGj-PDj为所述节点j的注入功率。
  6. 根据权利要求1所述的获取直流电力网功率传输系数的均衡电导补偿型偏心方法，其特征在于，所述根据所述均衡电导补偿型全局线性偏心关系式和已知的功率传输系数的定义获取所述直流电力网的功率传输系数具体为：
    按照如下关系式计算所述直流电力网的功率传输系数：
    Dik,j＝(μikaij-μi*akj)gik
    其中，gik是连接在节点i和节点k之间的支路ik的电导；Dik,j是从节点j到所述支路ik的功率传输系数；μik是按照μik＝(1+υi0-0.5υk0)确定的第一直流电力网参数；μi*是按照μi*＝(1+0.5υi0)确定的第二直流电力网参数；υi0为所述节点i的基点平移电压；υk0为所述节点k的基点平移电压，且所述υi0和所述υk0都是平移-1.0后的标幺值电压；aij是所述直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第i行第j列的元素；akj是所述直流电力网的均衡电导补偿型节点电导矩阵(Gij)的逆矩阵中第k行第j列的元素。
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