Optimal Power Flow (OPF) for High Voltage Direct Current (HVDC) (Matlab code implementation)

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本文目录如下：️️️

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目录

1 概述

2 数学模型 

3 MatlabCode implementation and article explanation 

4 结果

5 写在最后 

1 概述

China's high-voltage technology is a leader in the world,Very proud of us！

高压直流输电（HVDC）是一种成熟的技术,Power can be transmitted over long distances,Interconnection can also be achieved between asynchronous networks.The most common HVDC configuration（即点对点）Includes two converter stations connected by overhead power lines or submarine cables,如图1a所示.然而,Future power systems will require meshed DC networks for useSuperGrids [1]and offshore wind farms[2]等应用.This type of DC grid,That is, the multi-terminal HVDC transmission system（MT-HVDC）,Due to the development of high-power force-commutated semiconductor devices and DC circuit breakerswhile feasible[3].

最近的研究表明,Dense meshed multi-terminal HVDC transmission networks have advantages in terms of efficiency and safety[4].但是,These types of grids are more difficult to control than traditional point-to-point lines.They require reliable communication between the terminal and the optimization algorithm,to find the best working point.

此外,Highly meshedMT-HVDC系统要求DC/DCStation interconnections have different nominal voltages or different configurations（For example unipolar,双极,homopolar）的HVDC系统.DC/DCStations can control specificHVDCActive power on the line（见图1b）,And assist during disturbances such as DC faultsMT-HVDC.

Traditional methods of operation of power systems,Like the best trend（OPF）,Must adapt to this new environment.as its counterpartAC [5]一样,The optimal power flow of a multi-terminal HVDC transmission system is a nonlinear and non-convex problem.This is a challenge both theoretically and practically.如果将DC/DCConverters are included in the model,The complexity will increase,Because they involve additional control variables and nonlinear equations related to power loss.

In this paper, a nonlinear model for the optimal power flow of a multi-terminal HVDC transmission system is proposed.The proposed method only considers the DC side of the grid,and includes withDC / DCA branch of the converter.The line loss sum is also considered in the optimization modelDC/DC转换器.In order to obtain a unique solution for real-time operation,A semi-finite approximation method is proposed.该方法在CIGRE B4Evaluate on a simplified version of the DC grid test system.结果表明,与GAMScompared to the solved nonlinear model,The proposed approximation is efficient and accurate.

2 数学模型 

见第3部分.

3 MatlabCode implementation and article explanation 

本文仅展现部分代码,See all code and article explanations：正在为您运送作品详情

%% Eigenvalue approximation
[V,D] = eig(X);
lm = diag(D);
vm = V(:,NumN);
vm*vm'*lm(NumN);
disp('---------------- 功率损耗 ----------------');
trace(G*X)
disp('---------------- 电压 --------------------');
Vap = sqrt(lm(NumN))*vm;
disp(Vap);
disp('---------------- 线路潮流-------------');
kk = 0;
for k = 1:NumL
    kk = kk +1;
    fprintf('%i%s%i%s%f\n',MT.Lines(k,1),' -> ',MT.Lines(k,2),' : ',F(kk));
    kk = kk +1;
    fprintf('%i%s%i%s%f\n',MT.Lines(k,2),' -> ',MT.Lines(k,1),' : ',F(kk));
end
disp('---------------- DC/DC 变换器 -----------');
Qp

4 结果

5 写在最后 

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