【配电网重构】基于SOE算法的多时段随机配电网重构方法【IEEE33节点、IEEE84节点】（Matlab代码实现）

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⛳️座右铭：行百里者，半于九十。

📋📋📋本文目录如下：🎁🎁🎁

目录

💥1 概述

📚2 运行结果

2.1 算例结果

2.2 仿真结果

2.3 结论

🎉3 参考文献

🌈4 Matlab代码、数据、文章讲解

💥1 概述

摘要：配电网重构(DNR)的目的是确定配电网的最优拓扑结构，是降低电网功率损耗的有效措施。电力负荷需求和光伏(PV)输出是不确定的，并随时间变化，将影响最佳网络拓扑结构。单小时确定性DNR无法处理这种不确定性和可变性。为此，本文提出了求解多小时随机DNR (SDNR)的方法。现有的DNR求解方法要么不准确，要么过于耗时，因此无法求解大型配电网的多小时sdnr。为此，提出了一种开关开交换(SOE)方法。从所有开关关闭的环路网络开始，SOE由三个步骤组成。第一步是依次打开开关，直到打开所有循环。第二步和第三步修改第一步中获得的分支的状态，以获得更好的径向拓扑。通过5个试验系统验证了该方法的准确性和快速求解速度，以及多小时SDNR优于单小时确定性DNR的优越性。本程序是完全复现《Switch Opening and Exchange Method for Stochastic Distribution Network Reconfiguration》，代码主要做的是一个通过配电网重构获取最优网络拓扑的问题，从而有效降低网损，提高经济效益，同时考虑了光伏和负荷的随机性，构建了多时段随机配电网重构模型，考虑到大型网络中计算较为耗时，采用一种基于开断和交换的SOE方法，已获得良好的径向拓扑，采用IEEE多个标准算例进行了测试，更加创新，而且求解的效果更好，结果和论文基本是一致，代码质量非常高，但是子程序比较多，适合有编程经验的同学学习！

📚2 运行结果

2.1 算例结果

2.2 仿真结果

2.3 结论

提出了一个多小时的SDNR来处理可变和不确定的负载和PV输出。现有的SDNR方法要么不准确，要么太耗时。因此，提出了一种精确、快速的启发式方法SOE，同时求解SDNR和DDNR。SOE由三个步骤组成。第一步可以快速获得相对准确的初始解，第二步和第三步进一步提高精度。仿真结果表明，与其他启发式方法相比，SOE 1)精度更高，2)在单小时DDNRs中的精度几乎与MP相当(99.71% ~ 100%)，3)在求解多小时DDNRs时明显优于MP(例如损失减少19.65%)。SOE的解决速度明显快于MP(例如，快72-2325倍)。因此，SOE在精度和/或求解速度方面优于MP和其他启发式方法，特别是在求解大规模多小时DDNRs时。仿真结果还表明:1)解决多小时DDNR/SDNR比解决单小时DDNR/SDNR能获得更好的结果，即具有更低的损耗和/或满足电压限制;2)阻塞DDNR/SDNR能在损耗和开关动作数之间实现良好的平衡，而小时DDNR/SDNR有很多开关动作，24小时DDNR/SDNR有很高的损耗;3) SDNR优于DDNR，当负载(PV输出)低于(高于)其预测值时，DDNR的结果可能会违反电压上限。

部分代码：

warning('off')
addpath(pathdef)
mpopt = mpoption;
mpopt.out.all = 0; % do not print anything
mpopt.verbose = 0;
version_LODF = 0 % 1: use decrease_reconfig_algo_LODF.m
% 0: use decrease_reconfig_algo.m
distancePara = 10
combine3 = 1

candi_brch_bus = []; % candidate branch i added to bus j
% mpc0 = case417;
casei=4
d417_v2
substation_node = 1; n_bus = 417;

n1 = 3
n2 = 2
n1_down_substation = n1+1; n2_up_ending = n2;

Branch0 = Branch;
brch_idx_in_loop0 = unique(brch_idx_in_loop(:));

show_biograph1 = 0;
show_biograph = 0;

%% original network's power flow (not radial)
% show_biograph(Branch, Bus)
from_to = show_biograph_not_sorted(Branch, substation_node, show_biograph1);
mpc = generate_mpc(Bus, Branch, n_bus);
res_orig = runpf(mpc, mpopt);
losses = get_losses(res_orig.baseMVA, res_orig.bus, res_orig.branch);
loss0 = sum(real(losses));
fprintf('case417_tabu: original loop network''s loss is %.5f \n\n', loss0)

% for each branch in a loop,
% if open that branch does not cause isolation, check the two ending buses
% of that branch for connectivity, realized by shortestpath or conncomp
% calculate the lowest loss increase, print out the sorted loss increase
% open the branch with lowest loss increase
% stop criterion: number of buses - number of branches = 1

%% ------------------------ Core algorithm ------------------------%%
ff0 = Branch(:, 1); ff = ff0;
tt0 = Branch(:, 2); tt = tt0;
t1 = toc;
if version_LODF
[Branch] = decrease_reconfig_algo_LODF(Bus, Branch, brch_idx_in_loop, ...
ff0, tt0, substation_node, n_bus, loss0, distancePara); %%% core algorithm
else
[Branch] = decrease_reconfig_algo(Bus, Branch, brch_idx_in_loop, ff0, tt0, ...
substation_node, n_bus, loss0); %%% core algorithm
end
t2 = toc;
time_consumption.core = t2 - t1

% output of core algorithm
from_to = show_biograph_not_sorted(Branch(:, [1 2]), substation_node, ...
show_biograph1);
from_to0 = from_to;
mpc = generate_mpc(Bus, Branch, n_bus);
res_pf_dec = runpf(mpc, mpopt);
losses = get_losses(res_pf_dec.baseMVA, res_pf_dec.bus, res_pf_dec.branch);
loss0_dec = sum(real(losses)); %
fprintf('case417_tabu: radial network obtained by my core algorithm''s loss is %.5f \n\n', loss0_dec)

Branch_loss_record = [];
% record Branch and loss
Branch_loss_record.core.Branch = Branch;
Branch_loss_record.core.loss = loss0_dec;

%% prepare force open branches for tabu: branch_idx_focused

if get_brch_tabu_v2 == 1
[branch_idx_focused] = get_branch_idx_focused_for_tabu_v2( ...
from_to, Branch0, Branch, substation_node, brch_idx_in_loop0, n_bus, ...
n1_down_substation, n2_up_ending); % to answer reviewer 5-5's question
else
[branch_idx_focused] = get_branch_idx_focused_for_tabu( ...
from_to, Branch0, Branch, substation_node, brch_idx_in_loop0, n_bus, ...
n1_down_substation, n2_up_ending);
end

%% ------------------------ Tabu algorithm ------------------------%%
% run the core program for each upstream branch connected to the idx_force_open
% idx_considered = [35 69]
% for iter = idx_considered
for iter = 1:length(branch_idx_focused)
fprintf('iter=%d/%d\n', iter, length(branch_idx_focused));
Branch = Branch0;
Branch(branch_idx_focused(iter), :) = [];

ff0 = Branch(:, 1); ff = ff0;
tt0 = Branch(:, 2); tt = tt0;

brch_idx_in_loop = brch_idx_in_loop0;
idx_tmp = find(brch_idx_in_loop == branch_idx_focused(iter));
if isempty(idx_tmp)
else
brch_idx_in_loop(idx_tmp) = [];
brch_idx_in_loop(idx_tmp:end) = brch_idx_in_loop(idx_tmp:end)-1;
end

t1 = toc;
%%------------------- core algorithm in Tabu loop--------------------%%
if version_LODF
[Branch] = decrease_reconfig_algo_LODF(Bus, Branch, brch_idx_in_loop, ...
ff0, tt0, substation_node, n_bus, loss0, distancePara); %%% core algorithm
else
[Branch] = decrease_reconfig_algo(Bus, Branch, brch_idx_in_loop, ff0, tt0, ...
substation_node, n_bus, loss0); %%% core algorithm
end
t2 = toc;