8在matlab中通过yalmip平台调用cplex求解器，可用于求解MILP问题，适合于综合能源系统优化求解

%% 请先确保YALMIP工具箱和CPLEX正确安装,MATLAB导入对应文件，否则无法运行程序！！ %CPLEX免费试用版对求解规模有限制，如出现规模过大无法求解，请购买正式版或申请教育版！！！ %本程序已在yalmip version：20171121 CPLEX version：：12.8教育版 验证成功 %编制人：adwind %编制时间：2017.2.22 %% 初始化 clc; clear; yalmip; Cplex; %% 各变量及常量定义 %------------------------变量定义-----------------------% Pw=sdpvar(1,24,'full'); %风机出力 Ppv=sdpvar(1,24,'full');%光伏出力 Pbat=sdpvar(1,24,'full');%蓄电池出力 % Pde=Power(4,:);%柴油机组出力 % Lshift=zeros(1,24); Pnet=sdpvar(1,24,'full');%交换功率 Pbuy=sdpvar(1,24,'full');%从电网购电电量 Psell=sdpvar(1,24,'full');%向电网售电电量 Temp_net=binvar(1,24,'full'); % 购|售电标志 Temp_cha=binvar(1,24,'full'); %充电标志 Temp_dis=binvar(1,24,'full'); %放电标志 Temp_static=binvar(1,24,'full'); %电池静置标志 Pcha=sdpvar(1,24); Pdis=sdpvar(1,24); Constraints = []; %-------------------------常量定义-----------------------% Load=[88.24 83.01 80.15 79.01 76.07 78.39 89.95 128.85 155.45 176.35 193.71 182.57 179.64 166.31 164.61 164.61 174.48 203.93 218.99 238.11 216.14 173.87 131.07 94.04]; %风机预测出力 Pw=[66.9 68.2 71.9 72 78.8 94.8 114.3 145.1 155.5 142.1 115.9 127.1 141.8 145.6... 145.3 150 206.9 225.5 236.1 210.8 198.6 177.9 147.2 58.7]; %光伏预测出力 Ppv=[0 0 0 0 0.06 6.54 20.19 39.61 49.64 88.62 101.59 66.78 110.46 67.41 31.53... 50.76 20.6 22.08 2.07 0 0 0 0 0]; %分时电价 C_buy=[0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.53 0.53 0.53 0.82 0.82... 0.82 0.82 0.82 0.53 0.53 0.53 0.82 0.82 0.82 0.53 0.53 0.53]; C_sell=[0.22 0.22 0.22 0.22 0.22 0.22 0.22 0.42 0.42 0.42 0.65 0.65... 0.65 0.65 0.65 0.42 0.42 0.42 0.65 0.65 0.65 0.42 0.42 0.42]; %% 约束 for k = 1:24 Constraints = [Constraints, -160<=Pnet(1,k)<=160,0<=Pbuy(1,k)<=160, -160<=Psell(1,k)<=0]; %主网功率交换约束 Constraints =[Constraints,Pnet(1,k)+Pw(1,k)+Ppv(1,k)==Load(1,k)+Pbat(1,k)]; %功率平衡约束 Constraints = [Constraints, implies(Temp_net(1,k),[Pnet(1,k)>=0,Pbuy(1,k)==Pnet(1,k),Psell(1,k)==0])]; %购电情况约束 Constraints = [Constraints, implies(1-Temp_net(1,k),[Pnet(1,k)<=0,Psell(1,k)==Pnet(1,k),Pbuy(1,k)==0])]; %售电情况约束 %----------------------蓄电池约束--------------------% sum_bat=zeros(1,24); Constraints = [Constraints, -40<=Pbat(1,k)<=40,0<=Pcha(1,k)<=40,-40<=Pdis(1,k)<=0];%电池充放电约束 Constraints = [Constraints, implies(Temp_cha(1,k),[Pbat(1,k)>=0,Pcha(1,k)==Pbat(1,k),Pdis(1,k)==0])];%充电情况约束 Constraints = [Constraints, implies(Temp_dis(1,k),[Pbat(1,k)<=0,Pdis(1,k)==Pbat(1,k),Pcha(1,k)==0])];%放电情况约束 Constraints = [Constraints, implies(Temp_static(1,k),[Pbat(1,k)==0,Pdis(1,k)==0,Pcha(1,k)==0])];%静置情况约束 Constraints = [Constraints,Temp_cha(1,k)+Temp_dis(1,k)+Temp_static(1,k)==1]; % sum_bat(1,k+1)=sum_bat(1,k)+Pcha(1,k)+Pdis(1,k);%计算SOC % Constraints=[Constraints,-30<=sum(Pdis(1,1:k)+Pcha(1,1:k))<=165] ;%SOC约束，电池容量300kwh，初始S0C为0.4，0.3<=SOC<=0.95 end Constraints=[Constraints,sum(Pdis+Pcha)==0] ;%ST=S0，始末SOC相等约束 %% 目标函数 F=0; %------------------总费用--------------------% for k = 1:24 F = F + 0.52*Pw(:,k)+0.72*Ppv(:,k)+C_buy(:,k)*Pbuy(:,k)+C_sell(:,k)*Psell(1,k)+0.2*Pdis(1,k); end ops=sdpsettings('solver', 'cplex');%参数指定程序用cplex求解器 optimize(Constraints,F,ops) value(F)%费用 value(Pcha) value(Pdis) %% 画图 x=1:24; PP=[Pbuy;-Pdis;Pw;Ppv]; PP_neg=[Psell;-Pcha]; figure bar(PP','stack'); h=legend('交换功率','蓄电池','风机出力','光伏出力','Location','NorthWest'); set(h,'Orientation','horizon') hold on bar(PP_neg','stack'); plot(x,value(Load),'r','linewidth',2); xlabel('时段');ylabel('功率/kW'); hold off for k=1:24 s(k)=value(sum(Pdis(1,1:k)+Pcha(1,1:k)))/300+0.4; soc(k+1)=s(k); end soc(1)=0.4; xx=0:24; figure plot(xx,soc,'r'); xlabel('时段');ylabel('SOC值'); title('蓄电池SOC状态');