-
Notifications
You must be signed in to change notification settings - Fork 28
/
bidding_DA_callback.m
103 lines (103 loc) · 5.65 KB
/
bidding_DA_callback.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
%日前市场投标的函数
%包含一个MPEC问题
function result=bidding_DA_callback(data)
%输入量data的格式：[充电站编号，预测其他充电站的报价]
%输出量result的格式：[配电网节点边际电价，充电站报价，出清充电功率，出清放电功率];
load data_potential_DA
Set_CS_bid=data.CS_number;%正在投标的充电站
Set_CS_nobid=setdiff([1,2,3,4],Set_CS_bid);%其余充电站
%决策变量
pi_DA=sdpvar(4,96);%投标决策
pi_DA(Set_CS_nobid,:)=data.pi_DA(Set_CS_nobid,:);%投标价格
S=sdpvar(1,96);%广义储能设备电量
Pg=sdpvar(10,96);%发电商分段电量
Pf=sdpvar(7,96);%馈线功率
Pch=sdpvar(4,96);%各充电站出清充电电量
Pdis=sdpvar(4,96);%各充电站出清放电电量
Lagrant_balance=sdpvar(7,96);%功率平衡约束的拉格朗日乘子
DLMP=Lagrant_balance/0.25;%配电网节点边际电价
Lagrant_G=sdpvar(1,96);%平衡节点拉格朗日乘子
Lagrant_G_left=sdpvar(10,96);%发电商电量下界
Lagrant_G_right=sdpvar(10,96);%发电商电量上界
b_Lagrant_G_left=binvar(10,96);%发电商电量下界布尔变量
b_Lagrant_G_right=binvar(10,96);%发电商电量上界布尔变量
Lagrant_L_left=sdpvar(7,96);%线路功率下界
Lagrant_L_right=sdpvar(7,96);%线路功率上界
b_Lagrant_L_left=binvar(7,96);%线路功率上界布尔变量
b_Lagrant_L_right=binvar(7,96);%线路功率下界布尔变量
Lagrant_ch_left=sdpvar(4,96);%充电站充电功率下界
Lagrant_ch_right=sdpvar(4,96);%充电站充电功率上界
b_Lagrant_ch_left=binvar(4,96);%充电站充电功率下界布尔变量
b_Lagrant_ch_right=binvar(4,96);%充电站充电功率上界布尔变量
Lagrant_dis_left=sdpvar(4,96);%充电站放电功率下界
Lagrant_dis_right=sdpvar(4,96);%充电站放电功率上界
b_Lagrant_dis_left=binvar(4,96);%充电站放电功率下界布尔变量
b_Lagrant_dis_right=binvar(4,96);%充电站放电功率上界布尔变量
%基本参数
Link=zeros(24,96);%时段换算矩阵(日前1h换算为实时15min)
for i=1:24
Link(i,4*i-3:4*i)=1;
end
Loadcurve=[0.955391944564747,0.978345604157644,1,0.995019488956258,0.972932005197055,0.970333477695972,0.930489389346037,0.890428757037679,0.902771762667822,0.941966219142486,0.911000433087917,0.862061498484192,0.840190558683413,0.831095712429623,0.756604590731919,0.671719359029883,0.611520138588133,0.582936336076224,0.572542226071893,0.574707665656128,0.587267215244695,0.644218276310091,0.755521870939801,0.884798614118666];
Loadcurve=Loadcurve*Link;%换成96个时段
PL_base=[5.704;5.705;5.631;6.518;4.890;5.705;5.847]*1000;%负荷分布
PL=PL_base*Loadcurve;%基础负荷(负荷曲线从08:00开始算起，即第9个时段)
Pf_limit=1000*[40,40,40,40,40,40,40]';%馈线功率限制
Pg_step=1000*[20,5,3,2,2,2,2,2,2,100]';%报价区间
Price_DSO=[3:12]'*0.1;%分段电价
Pchmax=[Forecast_CS1(1,1:96);Forecast_CS2(1,1:96);Forecast_CS3(1,1:96);Forecast_CS4(1,1:96)];%充电站充电报量上限
Pdismax=[Forecast_CS1(2,1:96);Forecast_CS2(2,1:96);Forecast_CS3(2,1:96);Forecast_CS4(2,1:96)];%充电站放电报量上限
Smin=[Forecast_CS1(3,1:96);Forecast_CS2(3,1:96);Forecast_CS3(3,1:96);Forecast_CS4(3,1:96)];%充电站电量下限;
Smax=[Forecast_CS1(4,1:96);Forecast_CS2(4,1:96);Forecast_CS3(4,1:96);Forecast_CS4(4,1:96)];%充电站电量上限;
deltaS=[Forecast_CS1(5,1:96);Forecast_CS2(5,1:96);Forecast_CS3(5,1:96);Forecast_CS4(5,1:96)];%充电站电量变化量;
lastS=[Forecast_CS1(5,97);Forecast_CS2(5,97);Forecast_CS3(5,97);Forecast_CS4(5,97)];%第96个时段必须完成的充电量
%KKT条件
Ckkt=[];
Ckkt=[Ckkt,Price_DSO*ones(1,96)*0.25-Lagrant_G_left+Lagrant_G_right-ones(10,1)*Lagrant_G==0,
-Lagrant_balance-Lagrant_L_left+Lagrant_L_right+ones(7,1)*Lagrant_G==0,
-pi_DA*0.25+Lagrant_balance([1,4,5,7],:)-Lagrant_ch_left+Lagrant_ch_right==0,
pi_DA*0.25-Lagrant_balance([1,4,5,7],:)-Lagrant_dis_left+Lagrant_dis_right==0];%KKT平衡条件
Ckkt=[Ckkt,sum(Pg)==sum(Pf),
Pf(1,:)==PL(1,:)+Pch(1,:)-Pdis(1,:),
Pf(2,:)==PL(2,:),
Pf(3,:)==PL(3,:),
Pf(4,:)==PL(4,:)+Pch(2,:)-Pdis(2,:),
Pf(5,:)==PL(5,:)+Pch(3,:)-Pdis(3,:),
Pf(6,:)==PL(6,:),
Pf(7,:)==PL(7,:)+Pch(4,:)-Pdis(4,:)];%等式约束原始条件
Ckkt=[Ckkt,0<=Pf_limit*ones(1,96)+Pf<=1E6*b_Lagrant_L_left,
0<=Lagrant_L_left<=1E6*(1-b_Lagrant_L_left),
0<=Pf_limit*ones(1,96)-Pf<=1E6*b_Lagrant_L_right,
0<=Lagrant_L_right<=1E6*(1-b_Lagrant_L_right),
0<=Pg<=1E6*b_Lagrant_G_left,
0<=Lagrant_G_left<=1E6*(1-b_Lagrant_G_left),
0<=Pg_step*ones(1,96)-Pg<=1E6*b_Lagrant_G_right,
0<=Lagrant_G_right<=1E6*(1-b_Lagrant_G_right),
0<=Pch<=1E6*b_Lagrant_ch_left,
0<=Lagrant_ch_left<=1E6*(1-b_Lagrant_ch_left),
0<=Pchmax-Pch<=1E6*b_Lagrant_ch_right,
0<=Lagrant_ch_right<=1E6*(1-b_Lagrant_ch_right),
0<=Pdis<=1E6*b_Lagrant_dis_left,
0<=Lagrant_dis_left<=1E6*(1-b_Lagrant_dis_left),
0<=Pdismax-Pdis<=1E6*b_Lagrant_dis_right,
0<=Lagrant_dis_right<=1E6*(1-b_Lagrant_dis_right)];%互补条件
%原始条件
Cpri=[];
Cpri=[Cpri,0.1<=pi_DA(data.CS_number,:)<=1.3];%报价范围约束
Cpri=[Cpri,Smin(Set_CS_bid,:)<=S<=Smax(Set_CS_bid,:),S(1)==0.25*0.95*Pch(Set_CS_bid,1)-0.25*Pdis(Set_CS_bid,1)/0.95+deltaS(Set_CS_bid,1),
S(2:96)==S(1:95)+0.25*0.95*Pch(Set_CS_bid,2:96)-0.25*Pdis(Set_CS_bid,2:96)/0.95+deltaS(Set_CS_bid,2:96),
0==S(96)+lastS(Set_CS_bid)];%电量约束
%目标函数
Obj=0.25*sum(sum((Price_DSO*ones(1,96)).*Pg))-sum(sum(Lagrant_balance.*PL))+sum(sum((Pg_step*ones(1,96)).*Lagrant_G_right))+sum(sum(Pf_limit*ones(1,96).*Lagrant_L_left))+sum(sum(Pf_limit*ones(1,96).*Lagrant_L_right))-0.25*sum(sum(pi_DA(Set_CS_nobid,:).*(Pch(Set_CS_nobid,:)-Pdis(Set_CS_nobid,:))))+sum(sum(Pchmax(Set_CS_nobid,:).*Lagrant_ch_right(Set_CS_nobid,:)))+sum(sum(Pdismax(Set_CS_nobid,:).*Lagrant_dis_left(Set_CS_nobid,:)));
%约束条件
Constraints=[Ckkt,Cpri];
%求解模型
ops=sdpsettings('solver','gurobi','gurobi.OptimalityTol',1e-8,'gurobi.FeasibilityTol',1e-8,'gurobi.IntFeasTol',1e-8);
ops.gurobi.MIPGap=1e-8;
solvesdp(Constraints,Obj,ops);
result.DLMP=double(DLMP);
result.Pch=double(Pch);
result.Pdis=double(Pdis);
result.pi_DA=double(pi_DA);
result.Cost=double(Obj);
end