CN113517698A - Optimal power flow convexity control method and device for active distribution network - Google Patents
Optimal power flow convexity control method and device for active distribution network Download PDFInfo
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Abstract
本发明提供了一种主动配电网最优潮流凸化控制方法及装置,方法包括:根据电网参数建立主动配电网的最优潮流模型;对建立的最优潮流模型的潮流非线性约束进行凸化处理;对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制。本发明解决现有技术中求解速度慢甚至无法求出最优解的情况,本发明将模型进行凸化,从而迅速求解,提升主动配电网最优潮流数学模型的求解速度。
The invention provides a method and a device for controlling optimal power flow convexity of an active power distribution network. The method includes: establishing an optimal power flow model of the active power distribution network according to power grid parameters; Convex processing; perform solution processing on the optimal power flow model after the convexization process to generate solution result data; perform active distribution network parameter optimization control according to the solution result data and a preset optimal control model. The invention solves the situation in the prior art that the solution speed is slow or even the optimal solution cannot be obtained. The invention convexizes the model so as to solve the problem quickly and improve the solution speed of the optimal power flow mathematical model of the active distribution network.
Description
技术领域technical field
本发明涉及电力控制技术,具体的讲是一种主动配电网最优潮流凸化控制方法及装置。The invention relates to power control technology, in particular to a method and a device for controlling optimal power flow convexity of an active distribution network.
背景技术Background technique
近些年来,主动配电网由于其对可再生能源的友好和积极消纳,受到广泛关注。多数情况,风光等可再生能源会经过微电网(microgrid-nodal distribution network,MDN)这一平台和枢纽再馈入配电网。配电网的某些节点与微电网相连成为一种典型的网络拓扑和广泛的用能模式,是主动配电网(active distribution network,ADN)诸多拓扑种类的一种。In recent years, active distribution network has received extensive attention due to its friendly and active consumption of renewable energy. In most cases, renewable energy such as wind and solar will be fed into the distribution network through the microgrid-nodal distribution network (MDN) platform and hub. Some nodes of the distribution network are connected to the microgrid, which has become a typical network topology and a wide range of energy consumption patterns, which is one of many topologies of the active distribution network (ADN).
主动配电网的调度和运行所需的决策指令需要最优潮流的求解结果,对其最优潮流的求解速度和精度均有较高的要求。由于典型配电网的数学模型中含有线损约束,是非线性约束,因此,配电网的数学模型是非凸非线性的,在求解上无法使用凸优化等理论进行快速求解,需要借助粒子群、退火等人工智能算法进行求解,并且精度越高,求解时间越长,尤其是当求解的问题规模较大时,比较耗时,一般无法满足调度部门的需求。The decision-making commands required for the scheduling and operation of the active distribution network require the solution result of the optimal power flow, and the speed and accuracy of the solution of the optimal power flow have high requirements. Since the mathematical model of a typical distribution network contains line loss constraints, which are nonlinear constraints, the mathematical model of the distribution network is non-convex and nonlinear, and cannot be solved quickly using theories such as convex optimization. Artificial intelligence algorithms such as annealing are used to solve the problem, and the higher the accuracy, the longer the solution time, especially when the scale of the problem to be solved is large, it is time-consuming and generally cannot meet the needs of the scheduling department.
现有技术中的采用线性规划法、非线性规划法以及人工智能算法等,求解主动配电网的最优潮流,求解精度一般可以满足现实问题的需求,但是在求解速度方面差强人意,在可行域内寻找最优解的速度还有提升空间。The linear programming method, nonlinear programming method and artificial intelligence algorithm in the existing technology are used to solve the optimal power flow of the active distribution network. The solution accuracy can generally meet the needs of practical problems, but the solution speed is unsatisfactory. There is room for improvement in the speed of finding the optimal solution.
发明内容SUMMARY OF THE INVENTION
针对现有技术存在的缺陷,本发明提供了一种主动配电网最优潮流凸化控制方法,包括:In view of the defects existing in the prior art, the present invention provides an optimal power flow convexity control method for an active distribution network, including:
根据电网参数建立主动配电网的最优潮流模型;The optimal power flow model of the active distribution network is established according to the grid parameters;
对建立的最优潮流模型的潮流非线性约束进行凸化处理;Convex the power flow nonlinear constraints of the established optimal power flow model;
对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;Solve the optimal power flow model after convexization processing to generate the solution result data;
根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制。The active distribution network parameter optimization control is performed according to the solution result data and the preset optimization control model.
本发明实施例中,所述的根据电网参数建立主动配电网的最优潮流模型包括:In the embodiment of the present invention, the establishment of the optimal power flow model of the active distribution network according to the power grid parameters includes:
根据配电网的电网参数建立配电网中节点的有功平衡方程、无功平衡方程;According to the grid parameters of the distribution network, establish the active power balance equation and reactive power balance equation of the nodes in the distribution network;
根据配电网的电网参数进行归纳处理建立潮流线性约束、潮流非线性约束及电压和发电机出力上下限约束;According to the grid parameters of the distribution network, the power flow linear constraints, the power flow nonlinear constraints and the upper and lower limit constraints of the voltage and generator output are established;
根据微电网的电网参数建立微电网有功平衡约束及与配电网功率交换的约束。According to the grid parameters of the microgrid, the active power balance constraints of the microgrid and the constraints of power exchange with the distribution network are established.
本发明实施例中,所述的对建立的最优潮流模型的非线性约束进行凸化处理包括:In the embodiment of the present invention, the convexity processing on the nonlinear constraints of the established optimal power flow model includes:
利用下式对建立的最优潮流模型的非线性约束进行凸化处理;Convex the nonlinear constraints of the established optimal power flow model by using the following formula;
对任意小的非负常数ε≥0,For any small non-negative constant ε ≥ 0,
其中, in,
Vr,j支路j的受端电压幅值;V r,j The receiving terminal voltage amplitude of branch j;
Pr,j是第j条交流线路网损功率;P r,j is the network loss power of the jth AC line;
Qr,j是第j条交流线路的受端功率。Q r,j is the receiving end power of the jth AC line.
本发明实施例中,所述的预设的优化控制模型包括:In the embodiment of the present invention, the preset optimal control model includes:
其中,λ1、λ2、λ3和λ4为预设的优化目标的权重系数,且λ1+λ2+λ3+λ4=1;Wherein, λ 1 , λ 2 , λ 3 and λ 4 are the weight coefficients of the preset optimization target, and λ 1 +λ 2 +λ 3 +λ 4 =1;
Ve,节点平均额定电压;V e , the average rated voltage of the node;
ΔV,配电网单日内平均节点电压偏差;ΔV, the average node voltage deviation of the distribution network in a single day;
Ploss,有功网损;P loss , active network loss;
E,运行成本;E, operating cost;
R,微电网经营利润;R, the operating profit of the microgrid;
P0,预设工况下单日内单目标优化求解的有功网损最优解;P 0 , the optimal solution of active network loss for a single-objective optimization solution within a single day under preset operating conditions;
E0,预设工况下单日内单目标优化求解的运行成本最优解;E 0 , the optimal solution of the operating cost of the single-objective optimization solution in a single day under the preset working conditions;
R0,预设工况下单日内单目标优化求解的微电网经营利润最优解。R 0 , the optimal solution of the operating profit of the microgrid for the single-objective optimization solution within a single day under the preset operating conditions.
本发明实施例中,所述的求解结果数据包括:In the embodiment of the present invention, the solution result data includes:
单日每个优化区间内,配电网平衡节点的有功功率输入、无功功率输入、PV节点的电压功角和无功功率输入,PQ节点的电压幅值和电压功角;In each optimization interval on a single day, the active power input, reactive power input of the balance node of the distribution network, the voltage power angle and reactive power input of the PV node, and the voltage amplitude and voltage power angle of the PQ node;
单日每个优化区间内,配电网与微电网联络线的有功传输量、无功传输量;Active power transmission and reactive power transmission of the distribution network and the microgrid connection line in each optimization interval on a single day;
单日每个优化区间内,微电网内分布式电源发出或吸收的有功功率、储能装置的发出或吸收的有功功率。In each optimization interval on a single day, the active power emitted or absorbed by the distributed power generation in the microgrid, and the active power emitted or absorbed by the energy storage device.
同时,本发明还提供一种主动配电网最优潮流凸化控制装置,包括:At the same time, the present invention also provides an optimal power flow convexity control device for an active distribution network, including:
模型建立模块,用于根据电网参数建立主动配电网的最优潮流模型;The model building module is used to establish the optimal power flow model of the active distribution network according to the power grid parameters;
凸化处理模块,用于对建立的最优潮流模型的潮流非线性约束进行凸化处理;The convexity processing module is used to perform convexity processing on the nonlinear constraints of the power flow of the established optimal power flow model;
求解处理模块,用于对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;The solution processing module is used to solve the optimal power flow model after convexization processing to generate solution result data;
优化控制模块,用于根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制。The optimization control module is used for performing active distribution network parameter optimization control according to the solution result data and the preset optimization control model.
本发明实施例中,所述的模型建立模块根据电网参数建立主动配电网的最优潮流模型包括:In the embodiment of the present invention, the model establishment module establishes the optimal power flow model of the active distribution network according to the grid parameters, including:
根据配电网的电网参数建立配电网中节点的有功平衡方程、无功平衡方程;According to the grid parameters of the distribution network, establish the active power balance equation and reactive power balance equation of the nodes in the distribution network;
根据配电网的电网参数进行归纳处理建立潮流线性约束、潮流非线性约束及电压和发电机出力上下限约束;According to the grid parameters of the distribution network, the power flow linear constraints, the power flow nonlinear constraints and the upper and lower limit constraints of the voltage and generator output are established;
根据微电网的电网参数建立微电网有功平衡约束及与配电网功率交换的约束。According to the grid parameters of the microgrid, the active power balance constraints of the microgrid and the constraints of power exchange with the distribution network are established.
本发明实施例中,所述的凸化处理模块对建立的最优潮流模型的非线性约束进行凸化处理包括:In the embodiment of the present invention, the convexization processing module performing convexization processing on the nonlinear constraints of the established optimal power flow model includes:
利用下式对建立的最优潮流模型的非线性约束进行凸化处理;Convex the nonlinear constraints of the established optimal power flow model by using the following formula;
对任意小的非负常数ε≥0,For any small non-negative constant ε ≥ 0,
其中, in,
Vr,j支路j的受端电压幅值;V r,j The receiving terminal voltage amplitude of branch j;
Pr,j是第j条交流线路网损功率;P r,j is the network loss power of the jth AC line;
Qr,j是第j条交流线路的受端功率。Q r,j is the receiving end power of the jth AC line.
本发明实施例中,所述的预设的优化控制模型包括:In the embodiment of the present invention, the preset optimal control model includes:
其中,λ1、λ2、λ3和λ4为预设的优化目标的权重系数,且λ1+λ2+λ3+λ4=1;Wherein, λ 1 , λ 2 , λ 3 and λ 4 are the weight coefficients of the preset optimization target, and λ 1 +λ 2 +λ 3 +λ 4 =1;
Ve,节点平均额定电压;V e , the average rated voltage of the node;
ΔV,配电网单日内平均节点电压偏差;ΔV, the average node voltage deviation of the distribution network in a single day;
Ploss,有功网损;P loss , active network loss;
E,运行成本;E, operating cost;
R,微电网经营利润;R, the operating profit of the microgrid;
P0,预设工况下单日内单目标优化求解的有功网损最优解;P 0 , the optimal solution of active network loss for a single-objective optimization solution within a single day under preset operating conditions;
E0,预设工况下单日内单目标优化求解的运行成本最优解;E 0 , the optimal solution of the operating cost of the single-objective optimization solution in a single day under the preset working conditions;
R0,预设工况下单日内单目标优化求解的微电网经营利润最优解。R 0 , the optimal solution of the operating profit of the microgrid for the single-objective optimization solution within a single day under the preset operating conditions.
同时,本发明还提供一种计算机设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,处理器执行计算机程序时实现上述方法。Meanwhile, the present invention also provides a computer device, including a memory, a processor, and a computer program stored in the memory and running on the processor, and the processor implements the above method when executing the computer program.
同时,本发明还提供一种计算机可读存储介质,计算机可读存储介质存储有执行上述方法的计算机程序。Meanwhile, the present invention also provides a computer-readable storage medium, where the computer-readable storage medium stores a computer program for executing the above method.
本发明解决现有技术中当主动配电网内含有多种分布式电源和负荷通过微电网接入配电网时,主动配电网最优潮流的数学模型会变成非凸模型,会出现求解速度慢甚至无法求出最优解的情况,本发明将模型进行凸化,从而迅速求解,提升数学模型的求解速度。The invention solves the problem in the prior art that when the active distribution network contains a variety of distributed power sources and loads are connected to the distribution network through the microgrid, the mathematical model of the optimal flow of the active distribution network will become a non-convex model, and there will be In the case that the solution speed is slow or even the optimal solution cannot be obtained, the present invention makes the model convex, so as to solve the problem quickly and improve the solution speed of the mathematical model.
为让本发明的上述和其他目的、特征和优点能更明显易懂,下文特举较佳实施例,并配合所附图式,作详细说明如下。In order to make the above-mentioned and other objects, features and advantages of the present invention more obvious and easy to understand, the preferred embodiments are exemplified below, and are described in detail as follows in conjunction with the accompanying drawings.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅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。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative efforts.
图1为本发明提供的主动配电网最优潮流凸化控制方法的流程图;Fig. 1 is the flow chart of the optimal power flow convexity control method of the active distribution network provided by the present invention;
图2为本发明提供的主动配电网最优潮流凸化控制装置的框图;FIG. 2 is a block diagram of an optimal power flow convexity control device for an active distribution network provided by the present invention;
图3为本发明实施例提供的电子设备的示意图。FIG. 3 is a schematic diagram of an electronic device provided by an embodiment of the present invention.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
现有技术中,当主动配电网内含有多种分布式电源和负荷通过微电网接入配电网时,主动配电网最优潮流的数学模型会变成非凸模型,会出现求解速度慢甚至无法求出最优解的情况。In the prior art, when the active distribution network contains a variety of distributed power sources and loads are connected to the distribution network through the microgrid, the mathematical model of the optimal power flow of the active distribution network will become a non-convex model, and the solution speed will increase. Slow or even impossible to find the optimal solution.
对此,本发明提供了一种主动配电网最优潮流凸化控制方法,如图1所示,本发明的方法包括:In this regard, the present invention provides an optimal power flow convexity control method for an active distribution network. As shown in FIG. 1 , the method of the present invention includes:
步骤S101,根据电网参数建立主动配电网的最优潮流模型;Step S101, establishing an optimal power flow model of the active distribution network according to the power grid parameters;
步骤S102,对建立的最优潮流模型的潮流非线性约束进行凸化处理;Step S102, convexizing the power flow nonlinear constraints of the established optimal power flow model;
步骤S103,对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;Step S103, performing a solution process on the optimal power flow model after the convexization process to generate solution result data;
步骤S104,根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制。Step S104, performing active distribution network parameter optimization control according to the solution result data and a preset optimization control model.
本发明提供的主动配电网最优潮流凸化控制方法,对建立的最优潮流模型的潮流非线性约束进行凸化处理,采用二阶锥松弛进行凸化,将配电网最优潮流模型的数学本质已经转化成一个二阶锥规划问题,从而提升最优潮流模型的求解速度,根据求解结果进行配电网参数的优化控制,进而满足调度部门的需求。The optimal power flow convexization control method for an active distribution network provided by the present invention performs convexization processing on the nonlinear constraints of the power flow of the established optimal power flow model, and uses the second-order cone relaxation for convexization, so that the optimal power flow model of the distribution network is convexed. The mathematical essence of the power flow has been transformed into a second-order cone programming problem, so as to improve the solution speed of the optimal power flow model, and optimize the parameters of the distribution network according to the solution results to meet the needs of the dispatching department.
主动配电网最优潮流模型中,对有功和无功潮流的刻画体现在约束条件的潮流方程中。配电网的某些节点接入微电网以后,优化模型的约束条件包括:配电网约束条件和微电网约束条件两部分。In the optimal power flow model of active distribution network, the characterization of active power flow and reactive power flow is reflected in the power flow equation of constraints. After some nodes of the distribution network are connected to the microgrid, the constraints of the optimization model include: distribution network constraints and microgrid constraints.
其中,主动配电网的约束条件在整个数学模型中求解的作用是整个主动配电网运行空间的边界,从数学角度上讲即是可行域边界。求解主动配电网优化目标最优解的过程,就是在以约束条件作为边界限制进而形成的主动配电网运行空间之内,寻求一个特定位置,主动配电网运行于该位置上时优化目标可取得最大值或最小值。Among them, the role of the constraints of the active distribution network in solving the entire mathematical model is the boundary of the entire active distribution network operating space, which is the boundary of the feasible region from a mathematical point of view. The process of solving the optimal solution of the optimization objective of the active distribution network is to seek a specific location within the operating space of the active distribution network formed by the constraints as the boundary limit, and the optimization objective when the active distribution network operates at this location. A maximum or minimum value can be obtained.
本发明实施例中,根据电网参数建立主动配电网的最优潮流模型包括:In the embodiment of the present invention, establishing the optimal power flow model of the active distribution network according to the power grid parameters includes:
根据配电网的电网参数建立配电网中节点的有功平衡方程、无功平衡方程;According to the grid parameters of the distribution network, establish the active power balance equation and reactive power balance equation of the nodes in the distribution network;
根据配电网的电网参数进行归纳处理建立潮流线性约束、潮流非线性约束及电压和发电机出力上下限约束;According to the grid parameters of the distribution network, the power flow linear constraints, the power flow nonlinear constraints and the upper and lower limit constraints of the voltage and generator output are established;
根据微电网的电网参数建立微电网有功平衡约束及与配电网功率交换的约束。According to the grid parameters of the microgrid, the active power balance constraints of the microgrid and the constraints of power exchange with the distribution network are established.
具体的,本发明实施例中,配电网约束条件部分说明如下:Specifically, in the embodiment of the present invention, the constraints of the distribution network are described as follows:
采用基于支路潮流模型的最优潮流模型,详细模型建模如下:The optimal power flow model based on the branch power flow model is adopted, and the detailed model modeling is as follows:
配电网中节点i的有功和无功平衡方程为:The active and reactive power balance equations of node i in the distribution network are:
其中,PGi和QGi分别是注入节点i的有功功率和无功功率;Among them, P Gi and Q Gi are the active power and reactive power injected into node i, respectively;
PLi和QLi分别是节点i所连负载的有功和无功功率;P Li and Q Li are the active and reactive power of the load connected to node i, respectively;
MPQ(i,j)和Ml(i,j)分别是交流配电网有功无功潮流和网损的关联矩阵对应节点i和支路j的元素;M PQ (i,j) and M l (i,j) are the elements corresponding to node i and branch j of the correlation matrix of active and reactive power flow and network loss of AC distribution network;
Pr,j和Qr,j分别是流入支路j受端的有功功率和无功功率;P r,j and Q r,j are the active power and reactive power flowing into the receiving end of branch j, respectively;
Ploss,j和Qloss,j分别是支路j有功网损和无功网损;P loss,j and Q loss,j are the active network loss and reactive network loss of branch j, respectively;
Bi,i是电纳矩阵的对角线上分量,Vi是节点i的电压幅值。nl是线路总数。B i,i are the diagonal components of the susceptance matrix, and V i is the voltage amplitude at node i. n l is the total number of lines.
本实施例中,与潮流和损耗有关的关联矩阵元素定义如下:In this embodiment, the elements of the correlation matrix related to power flow and loss are defined as follows:
其中,线路j的电压跌落如下:where the voltage drop on line j is as follows:
式(6)中的γ指虚数单位;γ in formula (6) refers to the imaginary unit;
Vs,j和Vr,j分别是支路j的送端和受端电压幅值;V s,j and V r,j are the voltage amplitudes of the sending and receiving terminals of branch j, respectively;
θs,j和θr,j分别是支路j送端和受端电压相角;θ s,j and θ r,j are the voltage phase angles of the sending and receiving terminals of branch j, respectively;
Rj,j和Xj,j分别是支路j的电阻、电抗。R j,j and X j,j are the resistance and reactance of branch j, respectively.
根据配电网的电网参数进行归纳处理建立潮流线性约束、潮流非线性约束及电压和发电机出力上下限约束;According to the grid parameters of the distribution network, the power flow linear constraints, the power flow nonlinear constraints and the upper and lower limit constraints of the voltage and generator output are established;
具体的,进行归纳形成的约束条件如下:Specifically, the constraints formed by induction are as follows:
(1)潮流线性约束:(1) Power flow linear constraints:
PMG+PG-σPL-MPQPr-MlPloss=0 (4)P MG +P G -σP L -M PQ P r -M l P loss = 0 (4)
QMG+QG-σQL-MPQQr-MlQloss+BW=0 (5)Q MG +Q G -σQ L -M PQ Q r -M l Q loss +BW=0 (5)
2RPr+2XQr+RPloss+XQloss-MWW=0 (6)2RP r +2XQ r +RP loss +XQ loss -MW W =0 (6)
θsr-XPr+RQr=0 (7)θ sr -XP r +RQ r =0 (7)
XPloss-RQloss=0 (8)XP loss -RQ loss = 0 (8)
其中,式(7)和(8)是配电网潮流平衡约束;Among them, equations (7) and (8) are the power flow balance constraints of the distribution network;
式(9)是交流线路电压下降等式约束;Equation (9) is the AC line voltage drop equation constraint;
式(10)是交流线路的功角等式约束;Equation (10) is the power angle equation constraint of the AC line;
式(11)代表了有功和无功网损之间的关系。Equation (11) represents the relationship between active and reactive network losses.
其中:PMG和QMG分别是微电网向所连节点注入的有功和无功功率列向量;Among them: PMG and QMG are the active and reactive power column vectors injected by the microgrid to the connected nodes, respectively;
PG和QG分别是网络节点有功和无功功率注入的列向量;P G and Q G are the column vectors of active and reactive power injection of network nodes, respectively;
PL和QL分别是网络节点有功和无功负载列向量; PL and QL are the network node active and reactive load column vectors, respectively;
σ是配电网各时段负荷需求系数列向量;σ is the column vector of load demand coefficients in each period of distribution network;
MPQ和Ml分别是交流配电网有功无功潮流和网损的关联矩阵;M PQ and M l are the correlation matrices of active and reactive power flow and network loss in AC distribution network, respectively;
Pr和Qr分别是网络中有功和无功潮流列向量;P r and Q r are the active and reactive power flow train vectors in the network, respectively;
Ploss和Qloss网络中有功和无功网损列向量;Column vectors of active and reactive network losses in P loss and Q loss networks;
R、X和B分别是电阻、电抗和电纳的对角矩阵;R, X, and B are diagonal matrices of resistance, reactance, and susceptance, respectively;
W和MW分别是各节点电压的平方组成的列向量及其关联矩阵;W and M W are the column vector and its correlation matrix composed of the square of the voltage of each node, respectively;
θsr是交流线路送端和受端相角差列向量。θ sr is the column vector of the phase angle difference between the sending end and the receiving end of the AC line.
(2)潮流非线性约束:(2) Power flow nonlinear constraints:
对于每一条交流线路j=1,...,nl,线损表述如下:For each AC line j=1,...,n l , the line loss is expressed as follows:
式中,Ploss,j第j条交流线路网损有功功率;In the formula, P loss,j is the active power loss of the jth AC line;
Qloss,j第j条交流线路网损无功功率;Q loss,j jth AC line network loss reactive power;
Pr,j第j条交流线路受端的有功功率;P r,j Active power at the receiving end of the jth AC line;
Qr,j第j条交流线路受端的无功功率。Wr,j是Vr,j的平方。Q r,j Reactive power at the receiving end of the jth AC line. W r,j is the square of V r,j .
(3)电压和发电机出力上下限约束(3) Upper and lower limit constraints of voltage and generator output
对于节点i=1,...,nb,其中,nb为交流节点总数,存在以下约束:For nodes i=1,...,n b , where n b is the total number of AC nodes, the following constraints exist:
式中:where:
和V i分别是节点i的电压的上限和电压的下限; and V i are the upper and lower voltage limits of node i, respectively;
和是节点i的有功出力上限和有功出力下限; and is the upper limit and lower limit of active power output of node i;
和分别是节点i的无功出力的上限和无功出力下限。 and are the upper limit and lower limit of reactive power output of node i, respectively.
对于线路j=1,...,nl,有:For lines j=1,...,n l , there are:
式中:为线路j的有功传输上限;where: is the upper limit of active transmission of line j;
P r,j为线路j的有功传输下限; P r,j is the lower limit of active power transmission of line j;
和Q r,j分别是线路j的有功传输上限和无功传输下限。 and Q r,j are the upper limit of active transmission and the lower limit of reactive transmission of line j, respectively.
为避免繁琐,本发明实施例中,以上配电网约束条件均忽略代表第t个优化区间的下角标t。In order to avoid complexity, in the embodiment of the present invention, the above distribution network constraints all ignore the subscript t representing the t-th optimization interval.
微电网约束条件:Microgrid constraints:
(1)有功平衡约束。(1) Active power balance constraints.
Dt+Wt+Sd,t-Sc,t=PMG,t+Lt (13)D t +W t +S d,t -S c,t =P MG,t +L t (13)
其中,PMG,t为微电网第t个区间向配网注入的功率。Among them, PMG,t is the power injected into the distribution network in the t-th interval of the microgrid.
Dt是微网内可控DG在第t个区间的出力,Wt是微网内不可控DG在第t个区间内的出力,Sd,t是微网内储能系统在第t个区间的放电功率,Sc,t是微网内储能系统在第t个区间的充电功率,Lt是微网内第t个区间的负荷。D t is the output of the controllable DG in the micro-grid in the t-th interval, W t is the output of the uncontrollable DG in the micro-grid in the t-th interval, S d,t is the energy storage system in the micro-grid in the t-th interval The discharge power in the interval, S c,t is the charging power of the energy storage system in the microgrid in the t-th interval, and L t is the load in the t-th interval in the microgrid.
(2)与配网功率交换约束。(2) Power exchange constraints with the distribution network.
-PMGmax≤PMG,t≤PMGmax (14)-P MGmax ≤P MG,t ≤P MGmax (14)
其中,PMGmax是配网与某节点所连微电网的线路传输容量。Among them, PMGmax is the line transmission capacity of the distribution network and the microgrid connected to a node.
以上为本发明实施例中建立主动配电网的最优潮流模型,主动配电网的数学模型,本质上是非线性非凸的,求解大规模问题时速度较慢。The above is the optimal power flow model for establishing the active distribution network in the embodiment of the present invention. The mathematical model of the active distribution network is essentially nonlinear and non-convex, and the speed of solving large-scale problems is slow.
本发明实施例中,对建立的最优潮流模型的潮流非线性约束进行凸化处理,即本实施例中按以下部分提供的方法,将原约束条件中的部分非线性等式约束转换成符合二阶锥规划形式的不等式约束进而可以求解。In this embodiment of the present invention, convexization is performed on the nonlinear constraints of the power flow of the established optimal power flow model, that is, in this embodiment, the partial nonlinear equation constraints in the original constraints are converted into The inequality constraints in the form of second-order cone programming can then be solved.
基于支路潮流模型,采取二阶锥松弛的方法进行,对潮流约束中存在非线性约束,如式(12)(13)所示。本实施例中,将这两个二次的等式约束转换成符合二阶锥规划形式的不等式约束。Based on the branch power flow model, the second-order cone relaxation method is adopted, and there are nonlinear constraints in the power flow constraints, as shown in equations (12) and (13). In this embodiment, the two quadratic equality constraints are converted into inequality constraints conforming to the form of second-order cone programming.
换言之,将原配网约束中的非线性等式约束,即式(12)(13),通过公式(18)(19)的转换过程,可以更换为公式(20),该不等式约束符合二阶锥规划形式。In other words, the nonlinear equality constraints in the original distribution network constraints, that is, formulas (12) and (13), can be replaced by formulas (20) through the conversion process of formulas (18) and (19). This inequality constraint conforms to the second-order cone. planning form.
将公式(12)(13)更换为(20)的主动配电网模型可以采用二阶锥松弛进行凸化求解。The active distribution network model that replaces equations (12) and (13) with (20) can be solved by convexity using second-order cone relaxation.
将原约束式(12)(13)先转换成式(18),再转换成式(20);即将原约束中的式(12)和(13)换成式(20)。Convert the original constraint equations (12) and (13) into equation (18) first, and then into equation (20); that is, replace equations (12) and (13) in the original constraint with equation (20).
对任意小的非负常数ε≥0,For any small non-negative constant ε ≥ 0,
转化成2范数的形式即将线损约束转化成凸的约束如下:Converting to the form of 2-norm converts the line loss constraint into a convex constraint as follows:
经过上述处理,本实施例的配电网最优潮流模型的数学本质已经转化成一个二阶锥规划问题,利用现有技术的求解器即可进行有效地求解。After the above processing, the mathematical essence of the optimal power flow model of the distribution network in this embodiment has been transformed into a second-order cone programming problem, which can be effectively solved by using the solver of the prior art.
根据本发明实施例提供的对配电网最优潮流模型进行求解,求解的结果包括:The optimal power flow model of the distribution network is solved according to the embodiment of the present invention, and the solution results include:
第一,单日每个优化区间内,配电网平衡节点的有功、无功功率输入,PV节点的电压功角和无功功率输入,PQ节点的电压幅值和电压功角;First, in each optimization interval on a single day, the active and reactive power input of the balance node of the distribution network, the voltage power angle and reactive power input of the PV node, and the voltage amplitude and voltage power angle of the PQ node;
第二,单日每个优化区间内,配电网与微电网联络线的有功和无功传输量;Second, the amount of active and reactive power transmission between the distribution network and the microgrid tie line in each optimization interval on a single day;
第三,单日每个优化区间内,微电网内分布式电源以及储能装置的发出或吸收的有功功率。Third, the active power emitted or absorbed by the distributed power sources and energy storage devices in the microgrid in each optimization interval on a single day.
以上求解结果作为配电网控制参数优化的基准值,可以为调度部门提供调度基准值,调度部门根据以上基准值。The above solution results are used as the reference value for the optimization of distribution network control parameters, which can provide the dispatching reference value for the dispatching department, and the dispatching department can base on the above reference value.
具体的,对电网的如下控制参数进行优化控制包括:微电网内的无功补偿装置的无功补偿量,微网内分布式电源和储能装置发出或吸收的实际有功功率,微网内分布式电源和储能装置的并网逆变器发出的无功功率,配网内可调压变压器的分接头。Specifically, the optimal control of the following control parameters of the power grid includes: the reactive power compensation amount of the reactive power compensation device in the microgrid, the actual active power emitted or absorbed by the distributed power supply and the energy storage device in the microgrid, and the distribution in the microgrid. The reactive power generated by the grid-connected inverter of the type power supply and energy storage device, and the tap of the adjustable voltage transformer in the distribution network.
具体的,优化目标可以是单目标的,如配电网单日内平均节点电压最小偏差minΔV,最小有功网损minPloss、最低运行成本minE和微电网最大经营利润maxR;也可以是多目标的,如归一化处理的多目标优化表述如下:Specifically, the optimization objective can be a single objective, such as the minimum deviation minΔV of the average node voltage in a single day of the distribution network, the minimum active network loss minP loss , the minimum operating cost minE and the maximum operating profit maxR of the microgrid; it can also be multi-objective, For example, the multi-objective optimization of normalized processing is expressed as follows:
式中:λ1、λ2、λ3和λ4分别是配电网单日内平均节点电压最小偏差、最小有功网损、最低运行成本和微电网最大经营利润四个优化目标的权重系数,且λ1+λ2+λ3+λ4=1。In the formula: λ 1 , λ 2 , λ 3 and λ 4 are the weight coefficients of the four optimization objectives of the average node voltage in a single day, the minimum deviation of the distribution network, the minimum active network loss, the minimum operating cost and the maximum operating profit of the microgrid, and λ 1 +λ 2 +λ 3 +λ 4 =1.
Ve是节点平均额定电压。V e is the node average rated voltage.
ΔV,配电网单日内平均节点电压偏差;ΔV, the average node voltage deviation of the distribution network in a single day;
Ploss,单日内配电网有功网损;P loss , the active power loss of the distribution network in a single day;
E,单日内配电网运行成本;E, the operating cost of the distribution network in a single day;
R,单日内微电网经营利润;R, the operating profit of the microgrid in a single day;
P0,预设工况下单日内单目标优化求解的配电网有功网损最优解;P 0 , the optimal solution of the active power network loss of the distribution network obtained by the single-objective optimization solution in a single day under the preset operating conditions;
E0,预设工况下单日内单目标优化求解的配电网运行成本最优解;E 0 , the optimal solution of the distribution network operating cost for the single-objective optimization solution within a single day under the preset working conditions;
R0,预设工况下单日内单目标优化求解的微电网经营利润最优解。R 0 , the optimal solution of the operating profit of the microgrid for the single-objective optimization solution within a single day under the preset operating conditions.
本发明解决现有技术中,当主动配电网内含有多种分布式电源和负荷通过微电网接入配电网时,主动配电网最优潮流的数学模型会变成非凸模型,会出现求解速度慢甚至无法求出最优解的情况。本发明所采用的的二阶锥松弛办法将模型进行凸化,从而迅速求解,克服耗时长的问题,提高调度响应速度。The invention solves the problem in the prior art that when the active distribution network contains a variety of distributed power sources and loads are connected to the distribution network through the microgrid, the mathematical model of the optimal power flow of the active distribution network will become a non-convex model, and the There are cases where the solution speed is slow or even the optimal solution cannot be obtained. The second-order cone relaxation method adopted in the present invention makes the model convex, so as to solve the problem quickly, overcome the problem of time-consuming, and improve the dispatching response speed.
同时,本发明还提供一种主动配电网最优潮流凸化控制装置,如图2所示,包括:At the same time, the present invention also provides an optimal power flow convexity control device for an active distribution network, as shown in FIG. 2 , including:
模型建立模块201,用于根据电网参数建立主动配电网的最优潮流模型;The
凸化处理模块202,用于对建立的最优潮流模型的潮流非线性约束进行凸化处理;The
求解处理模块203,用于对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;The
优化控制模块204,用于根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制。The
本发明实施例中,所述的模型建立模块根据电网参数建立主动配电网的最优潮流模型包括:In the embodiment of the present invention, the model establishment module establishes the optimal power flow model of the active distribution network according to the grid parameters, including:
根据配电网的电网参数建立配电网中节点的有功平衡方程、无功平衡方程;According to the grid parameters of the distribution network, establish the active power balance equation and reactive power balance equation of the nodes in the distribution network;
根据配电网的电网参数进行归纳处理建立潮流线性约束、潮流非线性约束及电压和发电机出力上下限约束;According to the grid parameters of the distribution network, the power flow linear constraints, the power flow nonlinear constraints and the upper and lower limit constraints of the voltage and generator output are established;
根据微电网的电网参数建立微电网有功平衡约束及与配电网功率交换的约束。According to the grid parameters of the microgrid, the active power balance constraints of the microgrid and the constraints of power exchange with the distribution network are established.
本实施例还提供一种电子设备,该电子设备可以是台式计算机、平板电脑及移动终端等,本实施例不限于此。在本实施例中,该电子设备可以参照前述方法及装置的实施例,其内容被合并于此,重复之处不再赘述。This embodiment also provides an electronic device, and the electronic device may be a desktop computer, a tablet computer, a mobile terminal, and the like, but this embodiment is not limited thereto. In this embodiment, for the electronic device, reference may be made to the foregoing embodiments of the method and apparatus, the contents of which are incorporated herein, and repeated descriptions are not repeated here.
图3为本发明实施例的电子设备600的系统构成的示意框图。如图3所示,该电子设备600可以包括中央处理器100和存储器140;存储器140耦合到中央处理器100。值得注意的是,该图是示例性的;还可以使用其他类型的结构,来补充或代替该结构,以实现电信功能或其他功能。FIG. 3 is a schematic block diagram of a system configuration of an
一实施例中,主动配电网最优潮流凸化控制功能可以被集成到中央处理器100中。其中,中央处理器100可以被配置为进行如下控制:In one embodiment, the active distribution grid optimal power flow convexity control function may be integrated into the
根据电网参数建立主动配电网的最优潮流模型;The optimal power flow model of the active distribution network is established according to the grid parameters;
对建立的最优潮流模型的潮流非线性约束进行凸化处理;Convex the power flow nonlinear constraints of the established optimal power flow model;
对凸化处理后的最优潮流模型进行求解处理生成求解结果数据;Solve the optimal power flow model after convexization processing to generate the solution result data;
根据所述的求解结果数据和预设的优化控制模型进行主动配电网参数优化控制According to the solution result data and the preset optimization control model, the active distribution network parameter optimization control is carried out
在另一个实施方式中,主动配电网最优潮流凸化控制装置可以与中央处理器100分开配置,例如可以将主动配电网最优潮流凸化控制装置配置为与中央处理器100连接的芯片,通过中央处理器的控制来实现主动配电网最优潮流凸化控制功能。In another embodiment, the active distribution network optimal power flow convexity control device may be configured separately from the
如图3所示,该电子设备600还可以包括:通信模块110、输入单元120、音频处理单元130、显示器160、电源170。值得注意的是,电子设备600也并不是必须要包括图3中所示的所有部件;此外,电子设备600还可以包括图3中没有示出的部件,可以参考现有技术。As shown in FIG. 3 , the
如图3所示,中央处理器100有时也称为控制器或操作控件,可以包括微处理器或其他处理器装置和/或逻辑装置,该中央处理器100接收输入并控制电子设备600的各个部件的操作。As shown in FIG. 3 , the
其中,存储器140,例如可以是缓存器、闪存、硬驱、可移动介质、易失性存储器、非易失性存储器或其它合适装置中的一种或更多种。可储存上述与失败有关的信息,此外还可存储执行有关信息的程序。并且中央处理器100可执行该存储器140存储的该程序,以实现信息存储或处理等。Wherein, the
输入单元120向中央处理器100提供输入。该输入单元120例如为按键或触摸输入装置。电源170用于向电子设备600提供电力。显示器160用于进行图像和文字等显示对象的显示。该显示器例如可为LCD显示器,但并不限于此。The
该存储器140可以是固态存储器,例如,只读存储器(ROM)、随机存取存储器(RAM)、SIM卡等。还可以是这样的存储器,其即使在断电时也保存信息,可被选择性地擦除且设有更多数据,该存储器的示例有时被称为EPROM等。存储器140还可以是某种其它类型的装置。存储器140包括缓冲存储器141(有时被称为缓冲器)。存储器140可以包括应用/功能存储部142,该应用/功能存储部142用于存储应用程序和功能程序或用于通过中央处理器100执行电子设备600的操作的流程。The
存储器140还可以包括数据存储部143,该数据存储部143用于存储数据,例如联系人、数字数据、图片、声音和/或任何其他由电子设备使用的数据。存储器140的驱动程序存储部144可以包括电子设备的用于通信功能和/或用于执行电子设备的其他功能(如消息传送应用、通讯录应用等)的各种驱动程序。The
通信模块110即为经由天线111发送和接收信号的发送机/接收机110。通信模块(发送机/接收机)110耦合到中央处理器100,以提供输入信号和接收输出信号,这可以和常规移动通信终端的情况相同。The
基于不同的通信技术,在同一电子设备中,可以设置有多个通信模块110,如蜂窝网络模块、蓝牙模块和/或无线局域网模块等。通信模块(发送机/接收机)110还经由音频处理器130耦合到扬声器131和麦克风132,以经由扬声器131提供音频输出,并接收来自麦克风132的音频输入,从而实现通常的电信功能。音频处理器130可以包括任何合适的缓冲器、解码器、放大器等。另外,音频处理器130还耦合到中央处理器100,从而使得可以通过麦克风132能够在本机上录音,且使得可以通过扬声器131来播放本机上存储的声音。Based on different communication technologies,
本发明实施例还提供一种计算机可读程序,其中当在电子设备中执行所述程序时,所述程序使得计算机在所述电子设备中执行如上面实施例所述的主动配电网最优潮流凸化控制方法。Embodiments of the present invention also provide a computer-readable program, wherein when the program is executed in an electronic device, the program enables a computer to execute the active distribution network optimization described in the above embodiments in the electronic device Power flow convexity control method.
本发明实施例还提供一种存储有计算机可读程序的存储介质,其中所述计算机可读程序使得计算机在电子设备中执行上面实施例所述的主动配电网最优潮流凸化控制。Embodiments of the present invention further provide a storage medium storing a computer-readable program, wherein the computer-readable program enables a computer to execute the optimal power flow convexity control of the active distribution network described in the above embodiments in an electronic device.
以上参照附图描述了本发明的优选实施方式。这些实施方式的许多特征和优点根据该详细的说明书是清楚的,因此所附权利要求旨在覆盖这些实施方式的落入其真实精神和范围内的所有这些特征和优点。此外,由于本领域的技术人员容易想到很多修改和改变,因此不是要将本发明的实施方式限于所例示和描述的精确结构和操作,而是可以涵盖落入其范围内的所有合适修改和等同物。The preferred embodiments of the present invention have been described above with reference to the accompanying drawings. The many features and advantages of these embodiments are apparent from this detailed description, and the appended claims are therefore intended to cover all such features and advantages of these embodiments as fall within their true spirit and scope. Furthermore, since many modifications and changes will readily occur to those skilled in the art, the embodiments of the present invention are not intended to be limited to the precise construction and operation illustrated and described, but are intended to cover all suitable modifications and equivalents falling within the scope thereof thing.
本领域内的技术人员应明白,本发明的实施例可提供为方法、系统、或计算机程序产品。因此,本发明可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本发明可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本发明是参照根据本发明实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each flow and/or block in the flowchart illustrations and/or block diagrams, and combinations of flows and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to the processor of a general purpose computer, special purpose computer, embedded processor or other programmable data processing device to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing device produce Means for implementing the functions specified in a flow or flow of a flowchart and/or a block or blocks of a block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory result in an article of manufacture comprising instruction means, the instructions The apparatus implements the functions specified in the flow or flow of the flowcharts and/or the block or blocks of the block diagrams.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded on a computer or other programmable data processing device to cause a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process such that The instructions provide steps for implementing the functions specified in the flow or blocks of the flowcharts and/or the block or blocks of the block diagrams.
本发明中应用了具体实施例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处,综上所述,本说明书内容不应理解为对本发明的限制。In the present invention, the principles and implementations of the present invention are described by using specific embodiments, and the descriptions of the above embodiments are only used to help understand the method and the core idea of the present invention; The idea of the invention will have changes in the specific implementation and application scope. To sum up, the content of this specification should not be construed as a limitation to the present invention.
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