CN103427422A - Calculation method for evaluating inter-provincial electricity transaction ideality of power grid - Google Patents

Abstract

Translated fromChinese

本发明是一种评估电网省间电力交易理想度的计算方法。包括如下步骤：1)构建以省为节点、以省间交直流联络线为边的等值网络模型；2)读取交直流联络线参数；3)读取实际的省间电力交易96点曲线

，通过同受端曲线累加，计算等值网络模型受端节点实际的96点电力需求曲线

；4)计算等值网络模型中每个节点的最大外送能力

；5)以网损电量最小化为目标，构造电力交易理想度的评估函数z；6)构造理想度评估的计算模型，求出最优解并得到z的最优值；7)计算实际电网交直流联络线的网损电量；8)对比步骤6)与步骤7)的计算结果，分析二者的相对误差

，

即反映了省间电力交易的理想度。本发明具有很强的适用性及实用性。

The invention is a calculation method for evaluating the ideal degree of inter-provincial power transaction of the power grid. It includes the following steps: 1) Construct an equivalent network model with the province as the node and the inter-provincial AC-DC connection line as the edge; 2) Read the parameters of the AC-DC connection line; 3) Read the actual 96-point curve of the inter-provincial power transaction

, calculate the actual 96-point power demand curve of the receiving end node of the equivalent network model by accumulating with the receiving end curve

; 4) Calculate the maximum outgoing capacity of each node in the equivalent network model

; 5) aiming at the minimization of network loss and electricity, constructing the evaluation functionz of the ideal degree of power trading; 6) constructing the calculation model of the ideal degree evaluation, finding the optimal solution and obtaining the optimal value ofz ; 7) calculating the actual power grid 8) Compare the calculation results of step 6) and step 7), and analyze the relative error between the two

,

That is, it reflects the ideal degree of inter-provincial power trading. The invention has strong applicability and practicality.

Description

Translated fromChinese

一种评估电网省间电力交易理想度的计算方法A Calculation Method for Assessing the Ideal Degree of Inter-provincial Electricity Trading in Power Grid

技术领域technical field

本发明是一种评估电网省间电力交易理想度的计算方法，属于评估电网省间电力交易理想度的计算方法的改造技术。The invention is a calculation method for evaluating the ideal degree of inter-provincial power transaction of a power grid, which belongs to the transformation technology of the calculation method for evaluating the ideal degree of inter-provincial power transaction of the power grid.

背景技术Background technique

在电网经济运行管理方面，由于经济分析中“多主体、多目标、多阶段”的多维性，相关的统计数据比较分散，系统研究不够深入，目前还没有一套系统、科学、有效的分析策略，可直接用于指导的电网经济运行，特别是从2010年起实行国资委下发的EVA（经济增加值）考核管理后，电网的经济运行需要更加迫切。In terms of power grid economic operation and management, due to the multi-dimensionality of "multi-subjects, multi-objectives, and multi-stages" in economic analysis, the relevant statistical data is relatively scattered, and the systematic research is not deep enough. At present, there is no systematic, scientific and effective analysis strategy. , can be directly used to guide the economic operation of the power grid, especially after the implementation of the EVA (Economic Value Added) assessment management issued by the State-owned Assets Supervision and Administration Commission since 2010, the economic operation of the power grid needs to be more urgent.

为适应EVA考核，要求深入挖掘电网调度运行的经济效益；而对于区域电网而言，省间电力交易是其所开展的一项核心业务；科学的省间电力交易计划，对于促进跨区电力资源优化配置、实现跨省电力支援、优化电网运行方式都具有重要意义；并且对于电网的经济运行也将产生重要影响，主要体现在对于省间电力传输的交直流网损优化方面。因此，如何对省间电力交易进行网损优化，如何评估交易方式的合理性与优化程度，就成为了电网企业所关注的一个重要问题。对于一个实际的电网运行结果，只有通过事后模拟的方法重现历史场景，才能够去追溯其可能的最理想的运行状态，并由此去判断实际工作中是否存在改进空间、有多大改进空间、并辨识影响效益实现的主要因素等重要问题。然而，当前由于缺乏数据、计算复杂大、业务难度大等原因，该领域的研究与应用一直比较匮乏。In order to adapt to the EVA assessment, it is required to deeply explore the economic benefits of power grid dispatching operation; for regional power grids, inter-provincial power trading is a core business; scientific inter-provincial power trading plans are crucial to promoting cross-regional power resources. It is of great significance to optimize configuration, realize inter-provincial power support, and optimize power grid operation mode; and it will also have an important impact on the economic operation of the power grid, mainly reflected in the optimization of AC and DC network losses for inter-provincial power transmission. Therefore, how to optimize network losses for inter-provincial power transactions, and how to evaluate the rationality and optimization degree of transaction methods have become an important issue that power grid companies pay attention to. For an actual power grid operation result, only by recreating the historical scene through the method of post-event simulation can it be possible to trace the most ideal operating state, and thus judge whether there is room for improvement in actual work, how much room for improvement, And identify important issues such as the main factors that affect the realization of benefits. However, due to the lack of data, complex calculations, and business difficulties, research and applications in this field have been relatively scarce.

基于以上分析，本发明借鉴美国PJM电力市场理想调度的思想，通过合理整合、利用电网运行中普遍、一般的数据资源，构建理想度评估的等值模型，定义理想度评估的目标函数，并通过“再调度”模拟、优化求解等手段，提出了一种评估电网省间电力交易理想度的计算方法。该方法可用于每日的后评估，所需的数据基础主要包括：电网网络的基本参数、前一日实际省间电力交易数据等。Based on the above analysis, the present invention draws lessons from the idea of ideal dispatching in the American PJM electric power market, constructs an equivalent model of ideal degree evaluation through rational integration and utilization of common and general data resources in power grid operation, defines the objective function of ideal degree evaluation, and passes "Redispatch" simulation, optimization solution and other means, a calculation method for evaluating the ideal degree of inter-provincial power transaction of the power grid is proposed. This method can be used for daily post-evaluation, and the required data base mainly includes: basic parameters of the power grid network, actual inter-provincial power transaction data of the previous day, etc.

发明内容Contents of the invention

本发明的目的在于考虑上述问题而提供一种具有很强的适用性及实用性的评估电网省间电力交易理想度的计算方法。The purpose of the present invention is to provide a calculation method with strong applicability and practicability for evaluating the ideal degree of inter-provincial power trading in consideration of the above problems.

本发明的技术方案是：本发明评估电网省间电力交易理想度的计算方法,包括有如下步骤：The technical solution of the present invention is: the calculation method of the present invention for evaluating the ideal degree of inter-provincial power transaction of the power grid includes the following steps:

1)基于实际电网的拓扑结构，构建以省为节点、以省间交直流联络线为边的等值网络模型；1) Based on the topological structure of the actual power grid, construct an equivalent network model with the province as the node and the inter-provincial AC-DC connection line as the edge;

2)读取交直流联络线参数，包括交流联络线传输极限

直流联络线传输极限

交流联络线网损率b_j、直流网联络线损率a_j；2) Read the parameters of the AC-DC tie-line, including the transmission limit of the AC-DC tie-line

DC link transmission limit

Network loss rate of AC tie line b_j , loss rate of DC network tie line a_j ;

3)读取实际的省间电力交易96点曲线c(i,j)，通过同受端曲线累加，计算等值网络模型受端节点实际的96点电力需求曲线d_j；3) Read the actual inter-provincial power transaction 96-point curve c(i, j), and calculate the actual 96-point power demand curve d_j of the receiving end node of the equivalent network model by accumulating with the receiving end curve;

4)计算等值网络模型中每个节点的最大外送能力

4) Calculate the maximum outgoing capacity of each node in the equivalent network model

5)以网损电量最小化为目标，构造电力交易理想度的评估函数z；5) With the goal of minimizing network loss and electricity, construct an evaluation function z for the ideal degree of power trading;

6)以省间电力交易曲线和交直流联络线的电力传输曲线为决策变量，以z为目标函数，考虑等值网络模型节点与边的容量约束与拓扑约束，构造理想度评估的计算模型，求出最优解并得到z的最优值；6) Taking the inter-provincial power transaction curve and the power transmission curve of the AC-DC tie-line as the decision variable, taking z as the objective function, and considering the capacity constraints and topological constraints of the nodes and edges of the equivalent network model, construct a calculation model for ideality evaluation, Find the optimal solution and get the optimal value of z;

7)计算实际电网交直流联络线的网损电量；7) Calculating the power loss of the AC-DC tie line of the actual power grid;

8)对比步骤6)与步骤7)的计算结果，分析二者的相对误差r_z，r_z即反映了省间电力交易的理想度。8) Compare the calculation results of step 6) and step 7), and analyze the relative error r_z between the two, r_z reflects the ideal degree of inter-provincial power trading.

本发明基于理想调度理念，提出基于电网运行的实际边界条件，从后评估的角度进行再调度的方式来评估电网省间电力交易的理想度，本发明为评估省间电力交易的交易效益提供了一个有效的分析工具。本发明的方法充分考虑了实际电网运行的各类边界条件，与实际省间电力交易的业务流程结合紧密，具有很强的适用性，可以作为一个功能模块简便地插入现有的电力交易决策支持系统之中，其开发难度小、开发效率高，具有很强的实用性。本发明是一种实现科学评价省间电力交易的执行情况的评估电网省间电力交易理想度的计算方法。Based on the concept of ideal dispatching, the present invention proposes to evaluate the ideal degree of inter-provincial power transaction of the power grid by rescheduling based on the actual boundary conditions of power grid operation from the perspective of post-evaluation. The present invention provides a basis for evaluating the transaction benefits of inter-provincial power transactions An effective analysis tool. The method of the present invention fully considers various boundary conditions of the actual power grid operation, is closely integrated with the business process of the actual inter-provincial power transaction, has strong applicability, and can be easily inserted into the existing power transaction decision support as a functional module In the system, its development difficulty is small, the development efficiency is high, and it has strong practicability. The invention is a calculation method for evaluating the ideality degree of power grid inter-provincial power trade for scientifically evaluating the implementation of inter-provincial power trade.

附图说明Description of drawings

图1是本发明实施例的流程图。Fig. 1 is a flowchart of an embodiment of the present invention.

图2是本发明实施例中所形成等值电网模型的拓扑示意图。Fig. 2 is a schematic topology diagram of an equivalent grid model formed in an embodiment of the present invention.

具体实施方式Detailed ways

实施例：Example:

本发明的基于理想调度理念的评估电网省间电力交易理想度的计算方法，具体实施方式如下：The calculation method of the present invention based on the concept of ideal dispatching for evaluating the ideal degree of inter-provincial power transaction of the power grid, the specific implementation method is as follows:

(1)基于实际电网的拓扑结构，构建以省为节点、以省间交直流联络线为边的等值网络模型。(1) Based on the topology structure of the actual power grid, an equivalent network model with provinces as nodes and inter-provincial AC-DC links as edges is constructed.

以省为节点，以省与省之间的联络线为边，获取电网拓扑结构的点线图。记各节点构成的集合为N，第i个节点记为n_i；各交流联络线构成的集合为L_A，第j条交流联络线记为l_Aj；各直流联络线构成的集合为L_D，第j条直流联络线记为l_Dj。如果节点n_i、n_j之间存在直接相连的交流或直流联络线，定义n_i、n_j之间的断面s为这些交流和直流联络线构成的集合。记各断面构成的集合为S。对于断面s∈S，任意指定s的一个端点为起点，则s的另一个端点为终点，由起点到终点的方向称为正方向。断面s中任意一条联络线的正方向与该断面的正方向相同。Take the province as the node and the contact line between the provinces as the edge to obtain the point-line diagram of the power grid topology. Denote the set of nodes as N, the i-th node as n_i ; the set of AC tie lines as L_A , the jth AC tie line as l_Aj ; the set of DC tie lines as L_D , and the jth DC connection line is denoted as l_Dj . If there is a direct AC or DC link between nodes n_i and n_j , define the section s between n_i and n_j as the set of these AC and DC links. Denote the set composed of each section as S. For a section s∈S, if one end point of s is arbitrarily designated as the starting point, the other end point of s is the end point, and the direction from the starting point to the end point is called the positive direction. The positive direction of any contact line in the section s is the same as the positive direction of the section.

等值网络模型的拓扑示意图如附图2所示，假设等值网络中包括了4个省份（节点），n₁、n₂、n₃、n₄分别表示4个省份。点与点之间的实线表示交流联络线，点与点之间的虚线表示直流联络线。如n₃和n₄之间有2条交流联络线、1条直流联络线，这3条联络线共同组成n₃、n₄之间的断面。如选n₃到n₄为正方向，则若这两点之间某条联络线实际潮流由n₃到n₄为正，由n₄到n₃为负。The topology diagram of the equivalence network model is shown in Figure 2. It is assumed that the equivalence network includes 4 provinces (nodes), and n₁ , n₂ , n₃ , and n₄ represent the 4 provinces respectively. The solid line between the points represents the AC tie line, and the dotted line between the points represents the DC tie line. For example, there are 2 AC connection lines and 1 DC connection line between n₃ and n₄ , these 3 connection lines together form the section between n₃ and n₄ . If n₃ to n₄ is selected as the positive direction, then if the actual power flow of a tie line between these two points is positive from n₃ to n₄ , and from n₄ to n₃ is negative.

(2)读取交直流联络线参数，包括交流联络线传输极限

直流联络线传输极限

交流联络线网损率b_j、直流网联络线损率a_j。(2) Read the parameters of the AC-DC tie-line, including the transmission limit of the AC-DC tie-line

DC link transmission limit

AC tie line loss rate b_j , DC network tie line loss rate a_j .

每一条交流联络线的传输电力P_Aj,t或直流联络线的传输电力P_Dj,t受到正反两个方向的传输极限限制，即：The transmission power P_Aj,t of each AC tie line or the transmission power P_Dj,t of a DC tie line is limited by the transmission limit in both positive and negative directions, namely:

$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}$

$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}$

其中

是交流联络线l_Aj的反向传输极限，是交流联络线l_Aj的正向传输极限。

是直流联络线l_Dj的反向传输极限，

是直流联络线l_Dj的正向传输极限。P_Aj,t是交流联络线l_Aj在第t时段的传输功率，P_Dj,t是直流联络线l_Dj在第t时段的传输功率。in

is the reverse transmission limit of the AC tie line l_Aj , is the forward transmission limit of the AC tie line l_Aj .

is the reverse transmission limit of the DC tie line l_Dj ,

is the forward transmission limit of the DC tie line l_Dj . P_Aj,t is the transmission power of the AC link l_Aj in the tth period, P_Dj,t is the transmission power of the DC link l_Dj in the t period.

交流联络线单位时间的网损与交流联络线传输功率成正比，直流联络线单位时间的网损与直流联络线传输功的平方成正比，因此有：The network loss per unit time of the AC tie line is proportional to the transmission power of the AC tie line, and the network loss per unit time of the DC tie line is proportional to the square of the transmission power of the DC tie line, so:

f_Aj,t=b_j|P_Aj,t|f_Aj,t = b_j |P_Aj,t |

f_Dj,t=a_j|P_Dj,t|²f_Dj,t = a_j |P_Dj,t |²

其中f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损，f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Where f_Aj,t is the network loss per unit time of the AC link l_Aj in the tth period, and f_Dj,t is the network loss of the DC link l_Dj in the t period.

(3)读取实际的省间电力交易96点曲线c(i,j)，通过同受端曲线累加，计算等值网络模型受端节点实际的96点电力需求曲线d_j。(3) Read the actual inter-provincial power transaction 96-point curve c(i,j), and calculate the actual 96-point power demand curve d_j of the receiving end node of the equivalent network model by accumulating with the receiving end curve.

将n_i送n_j的交易记为c(i,j)，表示某日一天的送电曲线，第t时段的送电电力记为c(i,j,t)，所有交易的集合记为C，即：The transaction of sending n_i to n_j is recorded as c(i,j), which represents the power transmission curve of a certain day, the power transmission power of the tth period is recorded as c(i,j,t), and the set of all transactions is recorded as C, namely:

$\mathrm{<span><span>C</span>C</span>}<span><span>:</span>:</span><span><span>=</span>=</span><span><span>\{</span>\{</span>\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>)</span>)</span><span><span>|</span>|</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>j</span>j</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}<span><span>\}</span>\}</span>$

获取各省的电力需求曲线。对于记集合C中以点n_j为受端的交易构成的集合为C_-,j，将C_-,j中各曲线c(i,j)相加，得到点n_j的96点电力需求曲线d_j，用d_j,t表示点n_j第t时段的受电电力。即：Obtain electricity demand curves for each province. for Denote the set of transactions with point n_j as the receiving end in set C as C_{-, j} , and add the curves c(i, j) in C_{-, j} to obtain the 96-point power demand curve d_j of point n_j , use d_j,t to represent the received power of point n_j in period t. Right now:

${\mathrm{<span><span>C</span>C</span>}}_{<span><span>-</span>-</span><span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}}<span><span>:</span>:</span><span><span>=</span>=</span><span><span>\{</span>\{</span>\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>x</span>x</span>}<span><span>,</span>,</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>)</span>)</span><span><span>|</span>|</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>x</span>x</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>=</span>=</span>\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>x</span>x</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>\}</span>\}</span>$

${\mathrm{<span><span>d</span>d</span>}}_{\mathrm{<span><span>j</span>j</span>}}<span><span>=</span>=</span>\underset{\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>)</span>)</span>$

${\mathrm{<span><span>d</span>d</span>}}_{\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>=</span>=</span>\underset{\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}<span><span>)</span>)</span>$

特别地，若

则d_j=0，d_j,t=0。In particular, if

Then d_j =0, d_j,t =0.

(4)计算等值网络模型中每个节点的最大外送能力

(4) Calculate the maximum outgoing capacity of each node in the equivalent network model

对于n_j∈N，若d_j≠0，表示点n_j有省间交易需求，认为其无外送能力。对于n_i∈N，若d_i=0，表示点n_j无省间交易需求，认为其有外送能力。记

表示有外送能力的省份构成的集合。For n_j ∈ N, if d_j ≠ 0, it means that point n_j has inter-provincial transaction demand, and it is considered that it has no delivery capability. For n_i ∈ N, if d_i =0, it means that point n_j has no inter-provincial transaction demand, and it is considered to have the ability to send out. remember

Represents the set of provinces with delivery capabilities.

获取n_i的可调出力Pmax,i和n_i的最大负荷Lmax,i，用i表示n_i的最大外送能力。 To obtain the adjustable output force Pmax,i of n i and the maximum load Lmax,_iof n i, use i represents the maximum delivery capacity of n_i .

(5)以网损电量最小化为目标，构造电力交易理想度的评估函数z。(5) With the goal of minimizing network loss and electricity, construct the evaluation function z of the ideal degree of power trading.

构造评估函数z如下：Construct the evaluation function z as follows:

$\mathrm{<span><span>min</span>min</span>}<span><span>:</span>:</span>\mathrm{<span><span>z</span>z</span>}<span><span>=</span>=</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}$

其中z表示交流网损电量和直流网损电量之和，是决策目标；T₀表示每个时段对应时间的长度，在每日96点条件下T₀=0.25小时；f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损；f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Among them, z represents the sum of AC network loss power and DC network loss power, which is the decision target; T₀ represents the length of time corresponding to each period, and T₀ =0.25 hours under the condition of 96 o’clock every day; f_Aj,t is the AC connection The network loss of the line l_Aj per unit time in the tth period; f_Dj,t is the network loss of the DC tie line l_Dj per unit time in the tth period.

(6)以省间电力交易曲线和交直流联络线的电力传输曲线为决策变量，以z为目标函数，考虑等值网络模型节点与边的容量约束与拓扑约束，构造理想度评估的计算模型，求出最优解并得到z的最优值。(6) Taking the inter-provincial power transaction curve and the power transmission curve of the AC-DC link line as the decision variable, taking z as the objective function, and considering the capacity constraints and topological constraints of the nodes and edges of the equivalent network model, construct a calculation model for ideality evaluation , find the optimal solution and get the optimal value of z.

考虑如下约束条件：Consider the following constraints:

(6-1)联络线传输电力约束。(6-1) Tie line transmission power constraints.

$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}$

$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}$

(6-2)各省外送电力范围约束。(6-2) Constraints on the scope of power transmission in each province.

其中

表示点i外送的最大电力曲线。

in

Indicates the maximum power curve sent out from point i.

(6-3)各省送电力之和等于需要的电力约束。(6-3) The sum of the power transmission of each province is equal to the required power constraint.

其中c(i,j)表示点i送点j的电力曲线，d_j表示点j的电力需求曲线。

Where c(i, j) represents the power curve from point i to point j, and d_j represents the power demand curve from point j.

(6-4)省间交易和断面传输电力的逻辑关系约束。(6-4) The logical relationship constraints of inter-provincial transactions and cross-section transmission of electricity.

不考虑存在环网的情况，则点n_i1到点n_i2的潮流流向可根据电网的拓扑结构唯一确定。用δ(i1,i2,s)表示点n_i1到点n_i2的潮流与两个直接相连节点间断面s的关系，如下：Regardless of the existence of the ring network, the power flow direction from point n_i1 to point n_i2 can be uniquely determined according to the topology of the power grid. Use δ(i1,i2,s) to represent the relationship between the power flow from point n_i1 to point n_i2 and the section s between two directly connected nodes, as follows:

有：have:

其中P_s是断面s在第t时段的传输电力。

where P_s is the transmission power of the section s in the tth period.

(6-5)断面传输电力和联络线传输电力的逻辑关系约束。(6-5) Constraints on the logical relationship between section transmission power and tie line transmission power.

断面是具有相同起点和终点的联络线的集合，断面传输电力等于断面包含的直流联络线和交流联络线传输电力之和，即：A section is a collection of tie lines with the same starting point and end point, and the transmission power of the section is equal to the sum of the transmission power of the DC tie lines and AC tie lines contained in the section, that is:

${\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>s</span>the\; s</span>}}<span><span>=</span>=</span>\underset{{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>S</span>S</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>\underset{{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>S</span>S</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>.</span>.</span>$

其中P_s是断面s在第t时段的传输电力。where P_s is the transmission power of the section s in the tth period.

以省间交易电力c(i,j,t)和各交流、直流联络线传输电力P_Aj,t、P_Dj,t为决策变量，采用上述（2）（3）（4）数据作为边界条件，采用（5）中的目标，考虑（6-1）至（6-5）约束条件，构建理想度评估模型。Taking the inter-provincial trading power c(i,j,t) and the transmission power P_Aj,t and P_Dj,t of each AC and DC link line as decision variables, using the above (2)(3)(4) data as boundary conditions , using the objective in (5), considering the constraints (6-1) to (6-5), construct an ideality evaluation model.

此模型可以采用任一合适的优化工具进行优化求解，得到目标函数最优值和省间交易合同、联络线传输电力的最优解。This model can be optimized and solved by any suitable optimization tool, and the optimal value of the objective function and the optimal solution of inter-provincial transaction contracts and tie-line transmission power can be obtained.

(7)计算实际电网交直流联络线的网损电量。(7) Calculate the power loss of the AC-DC tie line of the actual power grid.

实际网损电量计算方法如下：The calculation method of actual power loss is as follows:

${\mathrm{<span><span>z</span>z</span>}}^{\mathrm{<span><span>0</span>0</span>}}<span><span>=</span>=</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}$

其中z⁰表示实际交流网损电量和直流网损电量之和；T₀表示每个时段对应时间的长度，在每日96点条件下T₀=0.25h小时；f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损；f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Where z⁰ represents the sum of the actual AC network loss power and DC network loss power; T₀ represents the length of time corresponding to each period, and T₀ =0.25h under the condition of 96 o’clock every day; f_Aj,t is the AC connection line l_Aj is the network loss per unit time in the t-th period; f_Dj,t is the network loss of the DC link l_Dj in the t-th period per unit time.

(8)对比步骤(6)与步骤(7)的计算结果，分析二者的相对误差r_z，r_z即反映了省间电力交易的理想度。(8) Compare the calculation results of step (6) and step (7), and analyze the relative error r_z between the two, r_z reflects the ideal degree of inter-provincial power trading.

记实际联络线网损电量为z⁰，相应构建的以z为目标的模型优化最小网损电量为z^*。因为实际网损电量完全满足上述模型的各项约束，因此有z^*≤z⁰。提取关键指标

是该指标的相对误差，r_z越小，表明省间购售电调度执行越好。Record the actual power loss of the tie line as z⁰ , and the correspondingly constructed model with z as the target to optimize the minimum power loss of the network is z^* . Because the actual power loss in the network completely satisfies the constraints of the above model, so z^* ≤ z⁰ . Extract Key Metrics

is the relative error of the index, and the smaller r_z is, the better the implementation of inter-provincial power purchase and sale scheduling is.

记实际直流联络线传输电力为P⁰_Dj,t，优化最优解为P^*_Dj,t。计算两者的偏差。偏差越小说明实际直流潮流越接近最优解。Record the transmission power of the actual DC link line as P⁰_Dj,t , and optimize the optimal solution as P^*_Dj,t . Calculate the deviation of the two. The smaller the deviation, the closer the actual DC power flow is to the optimal solution.

记实际交流联络线传输电力为P⁰_Aj,t，优化最优解为P^*_Aj,t。计算两者的偏差。偏差越小说明实际交流潮流越接近最优解。Record the transmission power of the actual AC tie line as P⁰_Aj,t , and optimize the optimal solution as P^*_Aj,t . Calculate the deviation of the two. The smaller the deviation, the closer the actual AC power flow is to the optimal solution.

计算

进行灵敏度分析。交流联络线的网损对传输功率的灵敏度是常数，直流联络线的网损对传输功率的灵敏度和传输功率应成正比。用灵敏度乘以对应的偏差，可以近似得到该线路功率偏差对网损影响的大小。calculate

Perform a sensitivity analysis. The sensitivity of the network loss of the AC tie line to the transmission power is constant, and the sensitivity of the network loss of the DC tie line to the transmission power should be proportional to the transmission power. By multiplying the sensitivity by the corresponding deviation, the influence of the line power deviation on the network loss can be approximated.

将传输电力偏差与灵敏度的乘积从大到小排序，辨识得到当前影响省间电力交易理想度的关键线路。The product of transmission power deviation and sensitivity is sorted from large to small, and the key lines that currently affect the ideality of inter-provincial power transactions are identified.

至此，本发明所提方法实施完毕。So far, the proposed method of the present invention has been implemented.

由以上具体实施步骤可见，本发明基于理想调度理念，提出基于电网运行的实际边界条件，从后评估的角度进行再调度的方式来评估电网省间电力交易的理想度，为评估省间电力交易的交易效益提供了一个有效的分析工具。本发明充分考虑了实际电网运行的各类边界条件，与实际省间电力交易的业务流程结合紧密，具有很强的适用性，可以作为一个功能模块简便地插入现有的电力交易决策支持系统之中，其开发难度小、开发效率高，具有很强的实用性。It can be seen from the above specific implementation steps that the present invention is based on the concept of ideal dispatching, and proposes a re-scheduling method based on the actual boundary conditions of power grid operation from the perspective of post-evaluation to evaluate the ideal degree of inter-provincial power transactions in the power grid. The transaction effectiveness provides an effective analysis tool. The invention fully considers various boundary conditions of the actual power grid operation, is closely integrated with the business process of the actual inter-provincial power transaction, has strong applicability, and can be easily inserted into the existing power transaction decision support system as a functional module Among them, the development difficulty is small, the development efficiency is high, and it has strong practicability.

需要强调的是，本方法实施步骤中的约束条件可根据实际电网运行中的数据资源、以及业务需求等灵活订制，网络拓扑结构以及点边的对应关系也可以根据实际情况灵活设定，可扩展性强。因此，以上实施步骤仅用以说明而非限制本发明的技术方案。不脱离本发明精神和范围的任何修改或局部替换，均应涵盖在本发明的权利要求范围当中。It should be emphasized that the constraints in the implementation steps of this method can be flexibly customized according to the data resources in the actual power grid operation and business requirements, etc., and the network topology and the corresponding relationship between points and edges can also be flexibly set according to the actual situation. Strong scalability. Therefore, the above implementation steps are only used to illustrate rather than limit the technical solution of the present invention. Any modification or partial replacement that does not depart from the spirit and scope of the present invention shall fall within the scope of the claims of the present invention.

Claims (10)

Translated fromChinese

1.一种评估电网省间电力交易理想度的计算方法，其特征在于包括有如下步骤：1. A calculation method for assessing the ideal degree of inter-provincial power transaction of the power grid, characterized in that it includes the following steps:1)基于实际电网的拓扑结构，构建以省为节点、以省间交直流联络线为边的等值网络模型；1) Based on the topological structure of the actual power grid, construct an equivalent network model with the province as the node and the inter-provincial AC-DC connection line as the edge;2)读取交直流联络线参数，包括交流联络线传输极限

直流联络线传输极限交流联络线网损率b_j、直流网联络线损率a_j；2) Read the parameters of the AC-DC tie-line, including the transmission limit of the AC-DC tie-line

DC link transmission limit Network loss rate of AC tie line b_j , loss rate of DC network tie line a_j ;3)读取实际的省间电力交易96点曲线c(i,j)，通过同受端曲线累加，计算等值网络模型受端节点实际的96点电力需求曲线d_j；3) Read the actual inter-provincial power transaction 96-point curve c(i, j), and calculate the actual 96-point power demand curve d_j of the receiving end node of the equivalent network model by accumulating with the receiving end curve;4)计算等值网络模型中每个节点的最大外送能力

4) Calculate the maximum outgoing capacity of each node in the equivalent network model

5)以网损电量最小化为目标，构造电力交易理想度的评估函数z；5) With the goal of minimizing network loss and electricity, construct an evaluation function z for the ideal degree of power trading;6)以省间电力交易曲线和交直流联络线的电力传输曲线为决策变量，以z为目标函数，考虑等值网络模型节点与边的容量约束与拓扑约束，构造理想度评估的计算模型，求出最优解并得到z的最优值；6) Taking the inter-provincial power transaction curve and the power transmission curve of the AC-DC tie-line as the decision variable, taking z as the objective function, and considering the capacity constraints and topological constraints of the nodes and edges of the equivalent network model, construct a calculation model for ideality evaluation, Find the optimal solution and get the optimal value of z;7)计算实际电网交直流联络线的网损电量；7) Calculating the power loss of the AC-DC tie line of the actual power grid;8)对比步骤6)与步骤7)的计算结果，分析二者的相对误差r_z，r_z即反映了省间电力交易的理想度。8) Compare the calculation results of step 6) and step 7), and analyze the relative error r_z between the two, r_z reflects the ideal degree of inter-provincial power trading.2.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤1)中等值网络模型的建立方法如下：2. the calculation method of the ideality degree of electric power transaction between the provinces of evaluation power grid according to claim 1, it is characterized in that the establishment method of the equivalent network model in the above-mentioned step 1) is as follows:以省为节点，以省与省之间的联络线为边，获取电网拓扑结构的点线图；记各节点构成的集合为N，第i个节点记为n_i；各交流联络线构成的集合为L_A，第j条交流联络线记为l_Aj；各直流联络线构成的集合为L_D，第j条直流联络线记为l_Dj；如果节点n_i、n_j之间存在直接相连的交流或直流联络线，定义n_i、n_j之间的断面s为这些交流和直流联络线构成的集合；记各断面构成的集合为S，对于断面s∈S，任意指定s的一个端点为起点，则s的另一个端点为终点，由起点到终点的方向称为正方向，断面s中任意一条联络线的正方向与该断面的正方向相同。Take the province as a node and the connection line between the provinces as the edge to obtain the point-line diagram of the power grid topology; record the set of each node as N, and the i-th node as n_i ; The set is L_A , and the jth AC link is denoted as l_Aj ; the set of each DC link is L_D , and the jth DC link is denoted as l_Dj ; if there is a direct connection between nodes n_i and n_j , define the section s between n_i and n_j as the set of these AC and DC link lines; record the set of each section as S, and for the section s∈S, specify an endpoint of s arbitrarily is the starting point, then the other end point of s is the end point, and the direction from the starting point to the end point is called the positive direction, and the positive direction of any connecting line in the section s is the same as the positive direction of the section.3.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤1)中，假设等值网络中包括了4个节点，4个节点n₁、n₂、n₃、n₄分别表示4个省份，点与点之间的实线表示交流联络线，点与点之间的虚线表示直流联络线，如n₃和n₄之间有2条交流联络线、1条直流联络线，这3条联络线共同组成n₃、n₄之间的断面，如选n₃到n₄为正方向，则若这两点之间某条联络线实际潮流由n₃到n₄为正，由n₄到n₃为负。3. The calculation method for assessing the ideal degree of inter-provincial power trading of power grids according to claim 1, characterized in that in the above step 1), it is assumed that 4 nodes are included in the equivalent network, and 4 nodes n₁ , n₂ , n₃ and n₄ represent 4 provinces respectively, the solid line between the points represents the AC connection line, and the dotted line between the points represents the DC connection line, for example, there are two AC connection lines between n₃ and n₄ , 1 DC tie line, these 3 tie lines together form the section between n₃ and n₄ , if n₃ to n₄ is selected as the positive direction, then if the actual power flow of a tie line between these two points is by n₃ to n₄ are positive, and from n₄ to n₃ are negative.4.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤2)中网损的计算方法如下：4. the calculation method for evaluating the ideal degree of inter-provincial power transaction of power grid according to claim 1, characterized in that the calculation method of network loss in the above-mentioned step 2) is as follows:每一条交流联络线的传输电力P_Aj,t或直流联络线的传输电力P_Dj,t受到正反两个方向的传输极限限制，即：The transmission power P_Aj,t of each AC tie line or the transmission power P_Dj,t of a DC tie line is limited by the transmission limit in both positive and negative directions, namely:$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}$$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}$其中是交流联络线l_Aj的反向传输极限，

是交流联络线l_Aj的正向传输极限；

是直流联络线l_Dj的反向传输极限，

是直流联络线l_Dj的正向传输极限；P_Aj,t是交流联络线l_Aj在第t时段的传输功率，P_Dj,t是直流联络线l_Dj在第t时段的传输功率；in is the reverse transmission limit of the AC tie line l_Aj ,

is the forward transmission limit of the AC tie line l_Aj ;

is the reverse transmission limit of the DC tie line l_Dj ,

is the forward transmission limit of DC tie line l_Dj ; P_Aj,t is the transmission power of AC tie line l_Aj in period t, and P_Dj,t is the transmission power of DC tie line l_Dj in period t;交流联络线单位时间的网损与交流联络线传输功率成正比，直流联络线单位时间的网损与直流联络线传输功的平方成正比，因此有：The network loss per unit time of the AC tie line is proportional to the transmission power of the AC tie line, and the network loss per unit time of the DC tie line is proportional to the square of the transmission power of the DC tie line, so:f_Aj,t=|b_j|P_Aj,t|f_Aj,t =|b_j |P_Aj,t |f_Dj,t=a_j|P_Dj,t|²f_Dj,t = a_j |P_Dj,t |²其中f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损，f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Where f_Aj,t is the network loss per unit time of the AC link l_Aj in the tth period, and f_Dj,t is the network loss of the DC link l_Dj in the t period.5.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤3)中，计算等值网络模型受端节点实际的96点电力需求曲线d_j的方法如下：5. the calculation method of the ideality degree of electric power trading between the provinces of the evaluation power grid according to claim 1, characterized in that in the above-mentioned step 3), the method of calculating the actual 96-point power demand curve d_j of the receiving end node of the equivalent network model is as follows :将n_i送n_j的交易记为c(i,j)，表示某日一天的送电曲线，第t时段的送电电力记为c(i,j,t)，所有交易的集合记为C，即：The transaction of sending n_i to n_j is recorded as c(i,j), which represents the power transmission curve of a certain day, the power transmission power of the tth period is recorded as c(i,j,t), and the set of all transactions is recorded as C, namely:$\mathrm{<span><span>C</span>C</span>}<span><span>:</span>:</span><span><span>=</span>=</span><span><span>\{</span>\{</span>\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>)</span>)</span><span><span>|</span>|</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>i</span>i</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>j</span>j</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}<span><span>\}</span>\}</span>$获取各省的电力需求曲线，对于

记集合C中以点n_j为受端的交易构成的集合为C_-,j，将C_-,j中各曲线c(i,j)相加，得到点n_j的96点电力需求曲线d_j，用d_j,t表示点n_j第t时段的受电电力，即：Obtain the electricity demand curve of each province, for

Denote the set of transactions with point n_j as the receiving end in set C as C_{-, j} , and add the curves c(i, j) in C_{-, j} to obtain the 96-point power demand curve d_j of point n_j , use d_j,t to represent the received power of point n_j in period t, that is:${\mathrm{<span><span>C</span>C</span>}}_{<span><span>-</span>-</span><span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}}<span><span>:</span>:</span><span><span>=</span>=</span><span><span>\{</span>\{</span>\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>x</span>x</span>}<span><span>,</span>,</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>)</span>)</span><span><span>|</span>|</span>{<span><span>\&ForAll;</span>\&ForAll;</span>\mathrm{<span><span>n</span>no</span>}}_{\mathrm{<span><span>x</span>x</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>N</span>N</span>}<span><span>,</span>,</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>=</span>=</span>\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>x</span>x</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>y</span>the\; y</span>}<span><span>\}</span>\}</span>$${\mathrm{<span><span>d</span>d</span>}}_{\mathrm{<span><span>j</span>j</span>}}<span><span>=</span>=</span>\underset{\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>)</span>)</span>$${\mathrm{<span><span>d</span>d</span>}}_{\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>=</span>=</span>\underset{\mathrm{<span><span>i</span>i</span>}<span><span>\&NotEqual;</span>\&NotEqual;</span>\mathrm{<span><span>j</span>j</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}\mathrm{<span><span>c</span>c</span>}<span><span>(</span>(</span>\mathrm{<span><span>i</span>i</span>}<span><span>,</span>,</span>\mathrm{<span><span>j</span>j</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}<span><span>)</span>)</span>$特别地，若

则d_j=0，d_j,t=0。In particular, if

Then d_j =0, d_j,t =0.6.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤4)中计算等值网络模型中每个节点的最大外送能力

的方法如下：6. The calculation method for assessing the ideal degree of inter-provincial power trading of the power grid according to claim 1, characterized in that in the above-mentioned step 4), the maximum output capacity of each node in the equivalent network model is calculated

The method is as follows:对于n_j∈N，若d_j≠0，表示点n_j有省间交易需求，认为其无外送能力，对于n_i∈N，若d_i=0，表示点n_j无省间交易需求，认为其有外送能力，记

表示有外送能力的省份构成的集合，For n_j ∈ N, if d_j ≠ 0, it means point n_j has inter-provincial transaction demand, and it is considered that it has no delivery capacity; for n_i ∈ N, if d_i = 0, it means point n_j has no inter-provincial transaction demand , think that it has the ability to send out, record

Represents the set of provinces with delivery capabilities,

获取n_i的可调出力Pmax,i和n_i的最大负荷Lmax,i，用$\stackrel{\&OverBar;}{c_{i,-}}=\mathrm{Pnax},i-L\max ,$i表示n_i的最大外送能力。

To obtain the adjustable output force Pmax,i of n i and the maximum load Lmax,_iof n i, use$\stackrel{\&OverBar;}{c_{i,-}}=\mathrm{Pnax},i-L\max ,$ i represents the maximum delivery capacity of n_i .7.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤5)以网损电量最小化为目标，构造电力交易理想度的评估函数z的方法如下：7. the calculation method of the ideal degree of electric power trading between provinces of the evaluation power grid according to claim 1, characterized in that the above-mentioned step 5) is aimed at minimizing the power loss of the network, and the method of constructing the evaluation function z of the ideal degree of electric power trading is as follows:构造评估函数z如下：Construct the evaluation function z as follows:$\mathrm{<span><span>min</span>min</span>}<span><span>:</span>:</span>\mathrm{<span><span>z</span>z</span>}<span><span>=</span>=</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}$其中z表示交流网损电量和直流网损电量之和，是决策目标；T₀表示每个时段对应时间的长度，在每日96点条件下T₀=0.25小时；f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损；f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Among them, z represents the sum of AC network loss power and DC network loss power, which is the decision target; T₀ represents the length of time corresponding to each period, and T₀ =0.25 hours under the condition of 96 o’clock every day; f_Aj,t is the AC connection The network loss of the line l_Aj per unit time in the tth period; f_Dj,t is the network loss of the DC tie line l_Dj per unit time in the tth period.8.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤6)中，构造理想度评估的计算模型，求出最优解并得到z的最优值的方法如下：8. the calculation method for evaluating the ideal degree of inter-provincial power trading of the power grid according to claim 1, characterized in that in the above-mentioned step 6), the calculation model of constructing the ideal degree evaluation is used to find the optimal solution and obtain the optimal value of z The method is as follows:考虑如下约束条件：Consider the following constraints:(6-1)联络线传输电力约束，(6-1) Tie line transmission power constraints,$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}$$\underset{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}<span><span>\&le;</span>\&le;</span>{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>\&le;</span>\&le;</span>\stackrel{<span><span>\&OverBar;</span>\&OverBar;</span>}{{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}$(6-2)各省外送电力范围约束；(6-2) Constraints on the scope of power transmission from each province;

其中

表示点i外送的最大电力曲线；

in

Indicates the maximum power curve sent out from point i;(6-3)各省送电力之和等于需要的电力约束；(6-3) The sum of the power transmission of each province is equal to the required power constraint;

其中c(i,j)表示点i送点j的电力曲线，d_j表示点j的电力需求曲线；

Where c(i, j) represents the power curve from point i to point j, and d_j represents the power demand curve at point j;(6-4)省间交易和断面传输电力的逻辑关系约束；(6-4) Constraints on the logical relationship between inter-provincial transactions and cross-section transmission of electricity;不考虑存在环网的情况，则点n_i1到点n_i2的潮流流向可根据电网的拓扑结构唯一确定；用δ(i1,i2,s)表示点n_i1到点n_i2的潮流与两个直接相连节点间断面s的关系，如下：Regardless of the existence of the ring network, the power flow direction from point n_i1 to point n_i2 can be uniquely determined according to the topology of the power grid; use δ(_i1 ,_i2 ,s) to represent the power flow and two The relationship of the section s between directly connected nodes is as follows:

有：have:

其中P_s是断面s在第t时段的传输电力；

where P_s is the transmission power of the section s in the tth period;(6-5)断面传输电力和联络线传输电力的逻辑关系约束；(6-5) Constraints on the logical relationship between section transmission power and tie line transmission power;断面是具有相同起点和终点的联络线的集合，断面传输电力等于断面包含的直流联络线和交流联络线传输电力之和，即：A section is a collection of tie lines with the same starting point and end point, and the transmission power of the section is equal to the sum of the transmission power of the DC tie lines and AC tie lines contained in the section, that is:${\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>s</span>the\; s</span>}}<span><span>=</span>=</span>\underset{{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>S</span>S</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>\underset{{\mathrm{<span><span>l</span>l</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}<span><span>\&Element;</span>\&Element;</span>\mathrm{<span><span>S</span>S</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>P</span>P</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>.</span>.</span>$其中P_s是断面s在第t时段的传输电力；where P_s is the transmission power of the section s in the tth period;以省间交易电力c(i,j,t)和各交流、直流联络线传输电力P_Aj,t、P_Dj,t为决策变量，采用评估函数z为目标函数，以（6-1）至（6-5）为约束条件，构建理想度评估模型；Taking the inter-provincial trading power c(i,j,t) and the transmission power P_Aj,t and P_Dj,t of each AC and DC link line as decision variables, using the evaluation function z as the objective function, using (6-1) to (6-5) Construct an ideal degree evaluation model as a constraint condition;此模型可以采用任一合适的优化工具进行优化求解，得到目标函数最优值和省间交易合同、联络线传输电力的最优解。This model can be optimized and solved by any suitable optimization tool, and the optimal value of the objective function and the optimal solution of inter-provincial transaction contracts and tie-line transmission power can be obtained.9.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤7)计算实际电网交直流联络线的网损电量如下：9. The calculation method for assessing the ideal degree of power grid inter-provincial power trading according to claim 1, characterized in that the above-mentioned step 7) calculates the net loss power of the actual power grid AC-DC link line as follows:实际网损电量计算方法如下：The calculation method of actual power loss is as follows:${\mathrm{<span><span>z</span>z</span>}}^{\mathrm{<span><span>0</span>0</span>}}<span><span>=</span>=</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Aj</span>Aj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}<span><span>+</span>+</span>{\mathrm{<span><span>T</span>T</span>}}_{\mathrm{<span><span>0</span>0</span>}}\underset{\mathrm{<span><span>t</span>t</span>}<span><span>=</span>=</span>\mathrm{<span><span>1</span>1</span>}}{\overset{\mathrm{<span><span>96</span>96</span>}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}}\underset{\mathrm{<span><span>j</span>j</span>}<span><span>\&Element;</span>\&Element;</span>{\mathrm{<span><span>L</span>L</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}}}{\mathrm{<span><span>\&Sigma;</span>\&Sigma;</span>}}{\mathrm{<span><span>f</span>f</span>}}_{\mathrm{<span><span>Dj</span>Dj</span>}<span><span>,</span>,</span>\mathrm{<span><span>t</span>t</span>}}$其中z⁰表示实际交流网损电量和直流网损电量之和；T₀表示每个时段对应时间的长度，在每日96点条件下T₀=0.25h小时；f_Aj,t是交流联络线l_Aj在第t时段的单位时间的网损；f_Dj,t是直流联络线l_Dj在第t时段的单位时间的网损。Where z⁰ represents the sum of the actual AC network loss power and DC network loss power; T₀ represents the length of time corresponding to each period, and T₀ =0.25h under the condition of 96 o’clock every day; f_Aj,t is the AC connection line l_Aj is the network loss per unit time in the t-th period; f_Dj,t is the network loss of the DC link l_Dj in the t-th period per unit time.10.根据权利要求1所述的评估电网省间电力交易理想度的计算方法，其特征在于上述步骤8)中，相对误差r_z的计算方法如下：10. The calculation method of evaluating the ideal degree of inter-provincial power trading of the power grid according to claim 1, characterized in that in the above-mentioned step 8), the calculation method of the relative error r_z is as follows:记实际联络线网损电量为z⁰，相应构建的以z为目标的模型优化最小网损电量为z^*；因为实际网损电量完全满足上述模型的各项约束，因此有z^*≤z⁰；提取关键指标

是该指标的相对误差，r_z越小，表明省间购售电调度执行越好；Note that the actual power loss of the tie line is z⁰ , and the correspondingly constructed model with z as the target to optimize the minimum power loss is z^* ; because the actual power loss fully meets the constraints of the above model, there is z^* ≤^{z 0} ; Extract key metrics

is the relative error of the indicator, the smaller r_z is, the better the implementation of inter-provincial power purchase and sale scheduling is;记实际直流联络线传输电力为P⁰_Dj,t，优化最优解为P^*_Dj,t；计算两者的偏差，偏差越小说明实际直流潮流越接近最优解；Record the actual DC link line transmission power as P⁰_Dj,t , and optimize the optimal solution as P^*_Dj,t ; calculate the deviation between the two, the smaller the deviation, the closer the actual DC power flow is to the optimal solution;记实际交流联络线传输电力为P⁰_Aj,t，优化最优解为P^*_Aj,t；计算两者的偏差；偏差越小说明实际交流潮流越接近最优解；Record the actual AC tie line transmission power as P⁰_Aj,t , and optimize the optimal solution as P^*_Aj,t ; calculate the deviation between the two; the smaller the deviation, the closer the actual AC power flow is to the optimal solution;计算

进行灵敏度分析，交流联络线的网损对传输功率的灵敏度是常数，直流联络线的网损对传输功率的灵敏度和传输功率应成正比；用灵敏度乘以对应的偏差，可以近似得到该线路功率偏差对网损影响的大小；calculate

Carrying out sensitivity analysis, the sensitivity of the network loss of the AC tie line to the transmission power is constant, and the sensitivity of the network loss of the DC tie line to the transmission power should be proportional to the transmission power; the line power can be approximated by multiplying the sensitivity by the corresponding deviation The impact of deviation on network loss;将传输电力偏差与灵敏度的乘积从大到小排序，辨识得到当前影响省间电力交易理想度的关键线路。The product of transmission power deviation and sensitivity is sorted from large to small, and the key lines that currently affect the ideality of inter-provincial power transactions are identified.

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