WO2018209478A1 - 获取直流电力网潮流的等量电导补偿型全局线性偏心方法 - Google Patents
获取直流电力网潮流的等量电导补偿型全局线性偏心方法 Download PDFInfo
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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
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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
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- the invention relates to the field of electric power engineering, in particular to an equal-conductance compensation type global linear eccentricity method for acquiring a power flow of a direct current power network.
- the existing DC power network power flow acquisition method is to first establish a nonlinear node power balance equation model, and then use an iterative method to solve. Due to the nonlinearity of the node power balance equation model, this method not only has a large amount of iterative computation and slow speed, but also has an iterative non-convergence or unreliable convergence problem. It is difficult to adapt to the DC power network operation that needs to be controlled based on the power flow solution. Claim. If the local linear power flow model based on the running base point linearization is adopted, the accuracy requirement of the regulation of the DC power network operating state can not be satisfied. Therefore, the existing DC power network power flow acquisition method either has a problem of slow calculation speed and unreliable convergence, or does not adapt to a wide range of changes in the operating state of the DC power network.
- Embodiments of the present invention provide an equal-conductance compensation type for acquiring a power flow of a DC power network
- the global linear eccentricity method can realize the fast and reliable acquisition of the DC power network power flow, and adapt to the wide range of operation of the DC power network.
- the invention provides an equal-conductance compensation global linear eccentricity method for acquiring a power flow of a DC power network, comprising:
- an inverse matrix is used to establish an equivalent-conductance-compensated global linear eccentric matrix relation of the non-reference node translation voltage with respect to the non-reference node injection power;
- the embodiment of the present invention first establishes an equal-conductance compensation global linear 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 equal-conductance compensation type global linearity
- the relational and known reference node numbers establish an equal-conductance-compensated global linear eccentricity model for the tidal current in the DC power network; and then use the inverse matrix to establish the non-reference node translation voltage based on the equal-conductance-compensated global linear eccentricity model.
- FIG. 1 is a flowchart of an implementation of an equal-conductance compensation global linear eccentricity method for acquiring a power flow 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 schematic diagram of obtaining a DC power network trend according to an embodiment of the present invention.
- the equal-conductance compensation global linear eccentricity method for obtaining the DC power network power flow as shown in the figure may include the following steps:
- step 101 an equal-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 an equal-conductance compensation global linear relationship of the node injection power with respect to the node translation voltage according to the following relationship:
- i and k are the numbers of the nodes in the DC power network, and both belong to the set of consecutive natural numbers ⁇ 1, 2,..., n ⁇ ; n is the total number of nodes in the DC power network; P Gi is connected The power of the power at node i; P Di is the load power connected to node i; P Gi -P Di is the injected power of node i; g ik is the conductance of the branch ik connected between node i and node k; I0 is the base point translation voltage of node i, and is the standard value voltage after translation -1.0; ⁇ i is the translation voltage of node i; ⁇ k is the translation voltage of node k, and ⁇ i and ⁇ k are both translation -1.0 After the standard value voltage;
- P Gi , P Di , n, g ik , ⁇ i0 are known DC power network parameters.
- All variables in the above-mentioned equivalent conductance compensation global linear relation are global variables, not increments; in addition, the coefficients of ⁇ i and ⁇ k in the above-mentioned equivalent conductance compensation global linear relation (1+ ⁇ i0 )g Ik and -(1+ ⁇ i0 )g ik are self-conducting and mutual conductance, respectively, which increase the conductance terms 0 i0 g ik and - ⁇ i0 g ik , respectively, compared to conventional self-conductance and mutual conductance.
- the two equal-numbered conductance terms are obtained by summing the nonlinear term of the original power expression on the right side of the above-mentioned equivalent-conductance compensation type global linear relation by the combination variable ( ⁇ i - ⁇ k ) and quantizing the coefficient at the base point.
- the resulting nonlinear term used to compensate for the original power expression. This is why the above relationship is called the equivalent-conductance compensation global linear relation of the node injection power with respect to the node translation voltage.
- the above-mentioned equivalent conductance compensation type 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.
- the accuracy of the result is small.
- step 102 an equal-conductance-compensated global linear eccentricity model of the tidal current in the DC power network is established according to the equal-conductance compensation-type global linear relationship and the known reference node number.
- Step 102 is specifically: establishing an equal-conductance compensation global linear eccentricity model of the power flow in the DC power network 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 translational 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 called the above-mentioned model is an equal-conductance-compensated global linear eccentricity model. reason.
- step 103 according to the equal-conductance compensation type global linear eccentricity model, an inverse matrix is used to establish an equal-conductance-compensated 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 an equal-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 equivalent 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;
- ⁇ 1 is the translation voltage of node 1;
- ⁇ i is the translation voltage of node i;
- ⁇ n-1 is the translation voltage of node n-1, and
- ⁇ 1 , ⁇ i and ⁇ n-1 are the target voltages after translation -1.0.
- step 104 the voltage values of the nodes in the DC power network and the transmission power values of the branches are calculated according to the equal-conductance compensation type global linear eccentric matrix relationship and the known reference node translation voltage values.
- Step 104 is specifically: calculating a non-reference node translation voltage value according to an equal-conductance compensation type global linear eccentric matrix relation; and calculating a non-reference in the DC power network according to the following reference node translation voltage values according to the following three relations Node voltage value, reference node voltage value and transmission power value of each branch:
- V i 1+ ⁇ i + ⁇ n
- V n 1+ ⁇ n
- V n is a reference node voltage value;
- ⁇ n is a reference node translation voltage value, and is a target value after translation-1.0 Voltage;
- ⁇ i is the translation voltage of node i;
- ⁇ j is the translation voltage of node j, and
- ⁇ i and ⁇ j are the standard value voltages after translation -1.0;
- g ij is connected between node i and node j
- P ij is the branch ij transmission power value, also known as the branch current.
- the distribution of the global conductance compensation type global linear power flow of the DC power network is obtained.
- the above relationship is very simple with the non-reference node translation voltage as the core.
- the calculation of the non-reference node translation voltage is accurate, fast and reliable when the operating state of the DC power network varies widely. Therefore, the equal-conductance-compensated global linear eccentricity model and algorithm for tidal currents in such DC power networks are accurate, fast, and reliable.
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Abstract
一种获取直流电力网潮流的等量电导补偿型全局线性偏心方法,首先根据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等量电导补偿型全局线性关系式(101);然后根据等量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中潮流的等量电导补偿型全局线性偏心模型(102);再根据等量电导补偿型全局线性偏心模型,建立非参考节点平移电压关于非参考节点注入功率的等量电导补偿型全局线性偏心矩阵关系式(103);最后根据等量电导补偿型全局线性偏心矩阵关系式和参考节点平移电压值,计算直流电力网中各节点的电压值和各支路传输功率值(104);实现了计算量小、不存在收敛问题,且在直流电力网运行状态大范围变化时精度高。
Description
本发明涉及电力工程领域,尤其涉及一种获取直流电力网潮流的等量电导补偿型全局线性偏心方法。
目前,直流输电的技术和经济优势正迅速推动直流电力网的建设和发展。作为直流电力网调控基础的潮流获取方法,特别是快速、可靠、准确的全局线性潮流模型和计算方法亟待开发。
现有的直流电力网潮流获取方法,是先建立非线性的节点功率平衡方程组模型,再运用迭代方法求解。由于节点功率平衡方程组模型的非线性,这种方法不仅迭代计算量大、速度慢,而且会出现迭代不收敛、或不可靠收敛问题,难适应需要基于潮流解才能实现调控的直流电力网运行要求。若采用基于运行基点线性化的局部线性潮流模型,则又无法满足直流电力网运行状态大范围变化时调控的精度要求。因此,现有的直流电力网潮流获取方法要么存在计算速度慢和收敛不可靠问题、要么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潮流的等量电导补偿型
全局线性偏心方法,能够实现直流电力网潮流的快速可靠获取,并且适应直流电力网运行状态大范围变化。
本发明提供了一种获取直流电力网潮流的等量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等量电导补偿型全局线性关系式;
根据所述等量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中潮流的等量电导补偿型全局线性偏心模型;
根据所述等量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等量电导补偿型全局线性偏心矩阵关系式;
根据所述等量电导补偿型全局线性偏心矩阵关系式和已知的参考节点平移电压值,计算直流电力网中各节点的电压值和各支路传输功率值。
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等量电导补偿型全局线性关系式;然后根据等量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中潮流的等量电导补偿型全局线性偏心模型;再根据等量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等量电导补偿型全局线性偏心矩阵关系式;最后根据等量电导补偿型全局线性偏心矩阵关系式和已知的参考节点平移电压值,计算直流电力网中各节
点的电压值和各支路传输功率值;由于无需进行迭代计算,故计算量小、不存在收敛问题,而且在直流电力网运行状态大范围变化时精度高。
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潮流的等量电导补偿型全局线性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。
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潮流
的等量电导补偿型全局线性偏心方法的实现流程图。如图所示的获取直流电力网潮流的等量电导补偿型全局线性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等量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等量电导补偿型全局线性关系式:
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;υi0为节点i的基点平移电压,且是平移-1.0后的标幺值电压;υi为节点i的平移电压;υk为节点k的平移电压,且υi和υk都是平移-1.0后的标幺值电压;
PGi、PDi、n、gik、υi0都是已知的直流电力网参数。
上述等量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,上述等量电导补偿型全局线性关系式中υi和υk的系数(1+υi0)gik和-(1+υi0)gik分别是自电导和互电导,它们与传统自电导和互电导相比分别增加了电导项υi0gik和-υi0gik。这两个异号
等量电导项是将上述等量电导补偿型全局线性关系式右边原始功率表达式的非线性项按组合变量(υi-υk)归集系数、并在基点量化该系数得到的,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节点注入功率关于节点平移电压的等量电导补偿型全局线性关系式的缘故。
上述等量电导补偿型全局线性关系式是根据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,根据等量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中潮流的等量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中潮流的等量电导补偿型全局线性偏心模型:
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;υi0为节点i的基点平移电压,且是平移-1.0后的标幺值电压;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等量电导补偿型节点电导矩阵,等量电导补偿型节点电导矩阵的维数是(n-1)×(n-1);Gij是等量电导补偿型节点电导矩阵(Gij)中第i行第j列的元素;υ1为节点1的平移电压;υi为节点i的平移电压;υn-1为节点n-1的平移电压,且υ1、υi和υn-1都是平移-1.0后的标幺值电压。
其中,PG1、PD1、PGi、PDi、PGn-1、PDn-1、(Gij)都是已知的直流电力网参数。
上述等量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等量电导补偿型全局线性偏心模型的缘故。
在步骤103中,根据等量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等量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等量电导补偿型全局线性偏心矩阵关系式:
其中,(Gij)-1是直流电力网的等量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;υ1为节点1的平移电压;υi为节点i的平移电压;υn-1为节点n-1的平移电压,且υ1、υi和υn-1都是平移-1.0后的标幺值电压。按上述关系式即可计算出非参考节点平移电压值υi,i=1,2,…,n-1。
由于上述等量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,且计算过程只涉及一步简单的线性关系计算、快速可靠。
在步骤104中,根据等量电导补偿型全局线性偏心矩阵关系式和已知的参考节点平移电压值,计算直流电力网中各节点的电压值和各支路传输功率值。
步骤104具体为:根据等量电导补偿型全局线性偏心矩阵关系式计算非参考节点平移电压值;根据已知的参考节点平移电压值,按照如下3个关系式分别计算出直流电力网中非参考节点电压值、参考节点电压值和各支路传输功率值:
Vi=1+υi+υn
Vn=1+υn
Pij=gij(υi-υj)
其中,Vi为非参考节点电压值,i=1,2,…,n-1;Vn为参考节点电压值;υn为参考节点平移电压值,且是平移-1.0后的标幺值电压;
υi为节点i的平移电压;υj为节点j的平移电压,且υi和υj都是平移-1.0后的标幺值电压;gij是连接在节点i和节点j之间的支路ij的电导;Pij为支路ij传输功率值,又称支路潮流。
这样就得到了直流电力网中等量电导补偿型全局线性潮流的分布。上述关系式以非参考节点平移电压为核心、非常简单。非参考节点平移电压的计算在直流电力网运行状态大范围变化时准确、快速、可靠。因此,这种直流电力网中潮流的等量电导补偿型全局线性偏心模型和算法准确、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 (5)
- 一种获取直流电力网潮流的等量电导补偿型全局线性偏心方法,其特征在于,所述获取直流电力网潮流的等量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等量电导补偿型全局线性关系式;根据所述等量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中潮流的等量电导补偿型全局线性偏心模型;根据所述等量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等量电导补偿型全局线性偏心矩阵关系式;根据所述等量电导补偿型全局线性偏心矩阵关系式和已知的参考节点平移电压值,计算直流电力网中各节点的电压值和各支路传输功率值。
- 根据权利要求1所述的获取直流电力网潮流的等量电导补偿型全局线性偏心方法,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等量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等量电导补偿型全局线性关系式: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;υi0为所述节点i的基点平移电压,且是平移-1.0后的标幺值电压;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。
- 根据权利要求1所述的获取直流电力网潮流的等量电导补偿型全局线性偏心方法,其特征在于,所述根据所述等量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中潮流的等量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中潮流的等量电导补偿型全局线性偏心模型: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;υi0为所述节点i的基点平移电压,且是平移-1.0后的标幺值电压;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等量电导补偿型节点电导矩阵,所述等量电导补偿型节点电导矩阵的维数是(n-1)×(n-1);Gij是所述等量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。
- 根据权利要求1所述的获取直流电力网潮流的等量电导补偿型全局线性偏心方法,其特征在于,所述根据所述等量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等量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等量电导补偿型全局线性偏心矩阵关系式:其中,(Gij)-1是所述直流电力网的等量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。
- 根据权利要求1所述的获取直流电力网潮流的等量电导补偿型全局线性偏心方法,其特征在于,所述根据所述等量电导补偿型全局线性偏心矩阵关系式和已知的参考节点平移电压值,计算直流电力网中各节点的电压值和各支路传输功率值具体为:根据所述等量电导补偿型全局线性偏心矩阵关系式计算非参考节点平移电压值;根据已知的参考节点平移电压值,按照如下3个关系式分别计算所述直流电力网中所述非参考节点电压值、所述参考节点电压值和各支路传输功率值:Vi=1+υi+υnVn=1+υnPij=gij(υi-υj)其中,Vi为所述非参考节点电压值,i=1,2,…,n-1;Vn为所述参考节点电压值;υn为所述参考节点平移电压值,且是平移-1.0后的标幺值电压;υi为节点i的平移电压;υj为节点j的平移电压,且所述υi和所述υj都是平移-1.0后的标幺值电压;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;Pij为所述支路ij传输功率值。
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