目录
1 主要内容
程序完全复现文献《A Distributed Dual Consensus ADMM Based on Partition for DC-DOPF with Carbon Emission Trading》，建立了一个考虑碳排放交易的最优模型，首先，对测试系统（6节点或者30节点或者118节点系统）进行了分区，以便后续ADMM算法的应用，其次，构建了DC-DOPF的最优潮流模型作为主要应用场景，以发电+买卖排放配额费用之和为目标函数，考虑碳排放约束、潮流约束以及耦合约束等约束条件，程序考虑了负荷需求响应和碳排放交易，从而符合目前低碳调度的研究热点，算法方面采用ADMM算法，也就是交替方向乘子法，更加创新，而且求解的效果更好，代码质量非常高，保姆级的注释以及人性化的模块子程序，所有数据均明确可靠来源，非常方便学习！
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目标函数
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计算步骤
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节点系统
程序默认节点系统为118节点系统，代码如下：
FileName = 'SCUC_dat/DDOPF118.txt'; %Corresponding to the 118-bus system in literature [7]；对应文献[7]中的118-bus system
可以通过修改节点系统名称来验证其他节点（6节点或者30节点）系统模型，程序已经内置了这部分代码，可以通过取消注释即可实现。
% FileName = 'SCUC_dat/SCUC6.txt'; %Corresponding to the 6-bus System;对应文中6bus例子 % FileName = 'SCUC_dat/SCUC30.txt'; %Corresponding to the 30-bus System;对应文中30bus例子 % FileName = 'SCUC_dat/SCUC6-2.txt'; %Corresponding to the 6-bus System in literature [7];对应文献[7]中的6-bus system % FileName = 'SCUC_dat/SCUC1062-2.txt'; %Corresponding to the 1062-bus System;对应文中1062-bus例子 % FileName = 'SCUC_dat/RTS48.txt'; %Corresponding to the RTS-48 bus system.The test system can obtain from [44];对应文中RTS0-48 bus例子
2 部分代码
if isequal(k,1) %第一次形成p_t并记下对应的区间即可
p_t_index = []; %存储p_t中每行在XJ中的索引,第一列为初始索引，第二列为结束索引,第三列为行索引
seta_t_index = []; %存储seta_t中每行在XJ中的索引,第一列为初始索引，第二列为结束索引,第三列为行索引
for i = 1:size(allNodes,1)
bus_sequence_index = find(ismember(SCUC_data.busUnits.bus_sequence,allNodes(i,1))==1); %allNodes(i,1)在SCUC_data.busUnits.bus_sequence上的索引
P_start_index = (PbusUnitsNumber(i,1) - PbusUnitsNumber(1,1) + i - 1); %allNodes(i,1)对应变量P前面的所有变量P和θ的总数量
Seta_start_index = (PbusUnitsNumber(i+1,1) - PbusUnitsNumber(1,1) + i - 1); %allNodes(i,1)对应变量θ前面的所有变量P和θ的总数量
if ~isempty(bus_sequence_index) %The bus with unit. 节点上有发电机
for j = 1:size(SCUC_data.busUnits.unitIndex{bus_sequence_index,1},1)
p_t(units_number,:) = XJ(P_start_index*T + (j-1)*T + 1:P_start_index*T + (j-1)*T + T);%P
p_t_index(units_index,1) = P_start_index*T + (j-1)*T + 1;
p_t_index(units_index,2) = P_start_index*T + (j-1)*T + T;
p_t_index(units_index,3) = units_number;
units_number = units_number + 1;
units_index = units_index + 1;
end
else %The bus without unit.节点上没有发电机
p_t(units_number,:) = XJ(P_start_index*T + 1:P_start_index*T + T);%P
units_number = units_number + 1;
end
seta_t(i,:) = XJ(Seta_start_index*T + 1:Seta_start_index*T + T);%θ
seta_t_index(i,1) = Seta_start_index*T + 1;
seta_t_index(i,2) = Seta_start_index*T + T;
seta_t_index(i,3) = i;
end
else %按照第一次记下的变量顺序即可
p_t = zeros(partitionData.PIUnitsNumber{end}-partitionData.PIUnitsNumber{1},T);
seta_t = zeros(size(seta_t_index,1),T);
for i = 1:size(p_t_index,1)
p_t(p_t_index(i,3),:) = XJ(p_t_index(i,1):p_t_index(i,2));
end
for i = 1:size(seta_t_index,1)
seta_t(seta_t_index(i,3),:) = XJ(seta_t_index(i,1):seta_t_index(i,2));
end
end
elseif isequal(includeDR,'yes')
PINumber = partitionData.PINumber;
EINumber = partitionData.EINumber;
piecewiseNumber = SCUC_data.elasticBus.piecewiseNumber; %分段函数分的段数
K = SCUC_data.elasticBus.N;%弹性节点数量
dr_t = zeros(K,T); %弹性负荷变量dr
hr_t = zeros(piecewiseNumber,T,K); %辅助变量Hr,第一个参数对应分段数，第二个参数对应时段，第三个参数对应节点编号
%按照片区顺序
for i = 1:n
Dindex = 2*(PINumber{i+1}-1)*T + (EINumber{i}-1)*(piecewiseNumber+1)*T; %+2为考虑碳排放的两个变量
Hindex = Dindex + T;
%取dr和hr
for j = 1:EINumber{i+1}-EINumber{i}
%dr的行按照partitionData.allElasticityNodes中节点编号的顺序
dr_t(EINumber{i}-1+j,:) = XJ((j-1)*(piecewiseNumber+1)*T+1+Dindex:(j-1)*(piecewiseNumber+1)*T+T+Dindex); %dr
for r = 1:piecewiseNumber
hr_t(r,:,EINumber{i}-1+j) = XJ((j-1)*(piecewiseNumber+1)*T+(r-1)*T+1+Hindex:(j-1)*(piecewiseNumber+1)*T+(r-1)*T+T+Hindex); %hr
end
end
end
if isequal(k,1)
p_t_index = []; %存储p_t中每行在XJ中的索引,第一列为初始索引，第二列为结束索引,第三列为行索引
seta_t_index = []; %存储seta_t中每行在XJ中的索引,第一列为初始索引，第二列为结束索引,第三列为行索引
%按照片区顺序
for i = 1:n
Pindex = 2*(PINumber{i}-1)*T + (EINumber{i}-1)*(piecewiseNumber+1)*T; %+2为考虑碳排放的两个变量
Dindex = 2*(PINumber{i+1}-1)*T + (EINumber{i}-1)*(piecewiseNumber+1)*T; %+2为考虑碳排放的两个变量
Hindex = Dindex + T;
%取P和θ
for j = 1:PINumber{i+1}-PINumber{i}
%xx的行按照partitionData.allNodes(即allNodes)中节点编号的顺序
p_t(PINumber{i}-1+j,:) = XJ(2*(j-1)*T+1+Pindex:2*(j-1)*T+T+Pindex);%P
seta_t(PINumber{i}-1+j,:) = XJ(2*(j-1)*T+T+1+Pindex:2*(j-1)*T+2*T+Pindex);%θ
p_t_index(PINumber{i}-1+j,1) = 2*(j-1)*T+1+Pindex;
p_t_index(PINumber{i}-1+j,2) = 2*(j-1)*T+T+Pindex;
p_t_index(PINumber{i}-1+j,3) = PINumber{i}-1+j;
seta_t_index(PINumber{i}-1+j,1) = 2*(j-1)*T+T+1+Pindex;
seta_t_index(PINumber{i}-1+j,2) = 2*(j-1)*T+2*T+Pindex;
seta_t_index(PINumber{i}-1+j,3) = PINumber{i}-1+j;
end
end
else %按照第一次记下的变量顺序即可
p_t = zeros(size(p_t_index,1),T);
seta_t = zeros(size(seta_t_index,1),T);
for i = 1:size(p_t_index,1)
p_t(p_t_index(i,3),:) = XJ(p_t_index(i,1):p_t_index(i,2));
end
for i = 1:size(seta_t_index,1)
seta_t(seta_t_index(i,3),:) = XJ(seta_t_index(i,1):seta_t_index(i,2));
end
end
else
dr_t = []; %弹性负荷变量dr
hr_t = []; %辅助变量Hr
for i = 1:N
p_t(i,:) = XJ((i-1)*2*T+1:(i-1)*2*T+T);%P
seta_t(i,:) = XJ((i-1)*2*T+T+1:(i-1)*2*T+2*T);%θ
end
end