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grid_IEEE123_complete.m
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Author: Lucien Bobo
%
% When publishing results based on this data, please cite:
%
% L. Bobo, A. Venzke, S. Chatzivasileiadis, "Second-Order Cone Relaxations
% of the Optimal Power Flow for Active Distribution Grids", 2020. Available
% online: https://arxiv.org/abs/2001.00898
%
% W. H. Kersting, “Radial distribution test feeders,” in Conference
% Proceedings of the 2001 IEEE Power Engineering Society Winter Meeting,
% 2001. vol. 2, pp. 908–912
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function mpc = grid_IEEE123
% Feeder based on IEEE123 with the following simplifications:
% - Regulator considered separately in mpc table regs with fixed voltage gains
% - Root node regulator ignored two regulators shifted to downstream end of the line for simplicity
% - Breakers replaced by short-circuits or open circuits (intermediate buses removed)
% - Transformer ignored as lower-voltage side bus is with no load
% - Substation transformer omitted (LV-side perspective)
% - Spot load are distributed equally on three phases
% - (1;1) element is used for 3-phase lines; non-zero element is used for 1-phase lines
% - Capacitors considered separately in mpc table caps
% - Two buses relabelled
%% MATPOWER Case Format : Version 2
mpc.version = '2';
%%----- Power Flow Data -----%%
%% system MVA base
mpc.baseMVA = 1;
%% bus data
% bus typ Pd Qd Gs Bs ar Vm Va baseKV zon Vmx Vmn
mpc.bus = [
1 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
2 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
3 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
4 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
5 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
6 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
7 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
8 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
9 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
10 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
11 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
12 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
13 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
14 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
15 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
16 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
17 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
18 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
19 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
20 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
21 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
22 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
23 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
24 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
25 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
26 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
27 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
28 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
29 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
30 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
31 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
32 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
33 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
34 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
35 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
36 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
37 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
38 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
39 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
40 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
41 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
42 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
43 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
44 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
45 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
46 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
47 1 0.1050 0.0750 0 0 1 1 0 4.16 1 1.2 0.8 ;
48 1 0.2100 0.1500 0 0 1 1 0 4.16 1 1.2 0.8 ;
49 1 0.1400 0.0950 0 0 1 1 0 4.16 1 1.2 0.8 ;
50 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
51 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
52 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
53 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
54 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
55 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
56 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
57 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
58 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
59 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
60 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
61 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
62 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
63 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
64 1 0.0750 0.0350 0 0 1 1 0 4.16 1 1.2 0.8 ;
65 1 0.1400 0.1000 0 0 1 1 0 4.16 1 1.2 0.8 ;
66 1 0.0750 0.0350 0 0 1 1 0 4.16 1 1.2 0.8 ;
67 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
68 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
69 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
70 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
71 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
72 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
73 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
74 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
75 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
76 1 0.2450 0.1800 0 0 1 1 0 4.16 1 1.2 0.8 ;
77 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
78 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
79 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
80 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
81 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
82 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
83 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
84 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
85 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
86 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
87 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
88 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
89 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
90 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
91 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
92 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
93 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
94 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
95 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
96 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
97 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
98 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
99 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
100 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
101 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
102 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
103 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
104 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
105 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
106 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
107 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
108 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
109 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
110 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
111 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
112 1 0.0200 0.0100 0 0 1 1 0 4.16 1 1.2 0.8 ;
113 1 0.0400 0.0200 0 0 1 1 0 4.16 1 1.2 0.8 ;
%114 3 0.0000 0.0000 0 0 1 1.0436 0 4.16 1 1.0436 1.0436 ;
114 3 0.0000 0.0000 0 0 1 1 0 4.16 1 1 1 ;
%new added buses
300 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
250 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
450 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
151 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
%new added buses between existing buses
135 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
160 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
152 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
149 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
197 1 0.0000 0.0000 0 0 1 1 0 4.16 1 1.2 0.8 ;
];
%% capacitor data
% bus total cap (sum over three phases) [MVAr]
mpc.caps = [
83 0.600
88 0.050
90 0.050
92 0.050
];
%% voltage regulator data
% bus ratio
mpc.regs = [
9 1
26 1
67 1
% 9 0.99 % RG2
% 26 1 % RG3
% 67 1.05 % RG4
];
%% generator data
% bus Pg Qg Qmax Qmin Vg mBase status Pmax Pmin Pc1 Pc2 Qc1min Qc1max Qc2min Qc2max ramp_agc ramp_10 ramp_30 ramp_q apf
mpc.gen = [
114 0 0 200 -200 1 1 1 200 -200 0 0 0 0 0 0 0 0 0 0 0 ;
1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
2 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
4 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
5 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
6 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
7 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
9 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
10 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
11 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
12 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
16 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
17 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
19 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
20 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
22 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
24 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
28 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
29 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
30 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
31 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
32 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
33 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
34 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
35 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
37 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
38 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
39 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
41 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
42 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
43 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
45 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
46 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
47 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
48 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
49 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
50 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
51 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
52 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
53 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
55 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
56 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
58 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
59 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
60 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
61 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
62 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
63 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
64 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
65 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
66 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
68 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
69 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
70 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
71 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
73 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
74 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
75 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
76 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
77 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
79 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
80 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
82 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
83 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
84 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
85 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
86 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
87 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
88 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
90 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
92 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
94 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
95 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
96 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
98 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
99 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
100 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
102 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
103 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
104 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
106 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
107 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
109 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
111 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
112 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
113 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 ;
];
%% branch data
% fbus tbus r x b rateA rateB rateC ratio angle status angmin angmax
mpc.branch = [
1 2 0.002545703 0.002580752 0.00000259216 0 0 0 0 0 1 -360 360 ;
1 3 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
1 7 0.001502404 0.003539317 0.00000558155 0 0 0 0 0 1 -360 360 ;
3 4 0.002909375 0.002949431 0.00000296247 0 0 0 0 0 1 -360 360 ;
3 5 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
5 6 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
7 8 0.001001603 0.002359545 0.00000372103 0 0 0 0 0 1 -360 360 ;
8 12 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
8 9 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
8 13 0.001502404 0.003539317 0.00000558155 0 0 0 0 0 1 -360 360 ;
9 14 0.006182422 0.006267540 0.00000629525 0 0 0 0 0 1 -360 360 ;
13 34 0.002182031 0.002212073 0.00000222185 0 0 0 0 0 1 -360 360 ;
13 18 0.004212870 0.009464061 0.00001617235 0 0 0 0 0 1 -360 360 ;
14 11 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
14 10 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
15 16 0.005455079 0.005530182 0.00000555463 0 0 0 0 0 1 -360 360 ;
15 17 0.005091407 0.005161504 0.00000518432 0 0 0 0 0 1 -360 360 ;
18 19 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
18 21 0.001531953 0.003441477 0.00000588086 0 0 0 0 0 1 -360 360 ;
19 20 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
21 22 0.007637110 0.007742255 0.00000777648 0 0 0 0 0 1 -360 360 ;
21 23 0.001276627 0.002867897 0.00000490071 0 0 0 0 0 1 -360 360 ;
23 24 0.008000782 0.008110934 0.00000814679 0 0 0 0 0 1 -360 360 ;
23 25 0.001404290 0.003154687 0.00000539078 0 0 0 0 0 1 -360 360 ;
25 26 0.001752804 0.004129203 0.00000586814 0 0 0 0 0 1 -360 360 ;
25 28 0.001021302 0.002294318 0.00000392057 0 0 0 0 0 1 -360 360 ;
26 27 0.001377204 0.003244374 0.00000461068 0 0 0 0 0 1 -360 360 ;
26 31 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
27 33 0.007273438 0.007373577 0.00000740617 0 0 0 0 0 1 -360 360 ;
28 29 0.001531953 0.003441477 0.00000588086 0 0 0 0 0 1 -360 360 ;
29 30 0.001787278 0.004015056 0.00000686100 0 0 0 0 0 1 -360 360 ;
31 32 0.004364063 0.004424146 0.00000444370 0 0 0 0 0 1 -360 360 ;
34 15 0.001454688 0.001474715 0.00000148123 0 0 0 0 0 1 -360 360 ;
35 36 0.003255208 0.007668520 0.00001089797 0 0 0 0 0 1 -360 360 ;
35 40 0.001252003 0.002949431 0.00000465129 0 0 0 0 0 1 -360 360 ;
36 37 0.004364063 0.004424146 0.00000444370 0 0 0 0 0 1 -360 360 ;
36 38 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
38 39 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
40 41 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
40 42 0.001252003 0.002949431 0.00000465129 0 0 0 0 0 1 -360 360 ;
42 43 0.007273438 0.007373577 0.00000740617 0 0 0 0 0 1 -360 360 ;
42 44 0.001001603 0.002359545 0.00000372103 0 0 0 0 0 1 -360 360 ;
44 45 0.002909375 0.002949431 0.00000296247 0 0 0 0 0 1 -360 360 ;
44 47 0.001252003 0.002949431 0.00000465129 0 0 0 0 0 1 -360 360 ;
45 46 0.004364063 0.004424146 0.00000444370 0 0 0 0 0 1 -360 360 ;
47 48 0.000757604 0.001748482 0.00000265341 0 0 0 0 0 1 -360 360 ;
47 49 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
49 50 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
50 51 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
52 53 0.001001603 0.002359545 0.00000372103 0 0 0 0 0 1 -360 360 ;
53 54 0.000626002 0.001474715 0.00000232564 0 0 0 0 0 1 -360 360 ;
54 55 0.001377204 0.003244374 0.00000511642 0 0 0 0 0 1 -360 360 ;
54 57 0.001767743 0.004079790 0.00000619129 0 0 0 0 0 1 -360 360 ;
55 56 0.001377204 0.003244374 0.00000511642 0 0 0 0 0 1 -360 360 ;
57 58 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
57 60 0.003788021 0.008742408 0.00001326705 0 0 0 0 0 1 -360 360 ;
58 59 0.003636719 0.003686788 0.00000370309 0 0 0 0 0 1 -360 360 ;
60 62 0.004161214 0.002057761 0.00005508310 0 0 0 0 0 1 -360 360 ;
62 63 0.002912850 0.001440433 0.00003855817 0 0 0 0 0 1 -360 360 ;
63 64 0.005825700 0.002880866 0.00007711634 0 0 0 0 0 1 -360 360 ;
64 65 0.007074064 0.003498194 0.00009364127 0 0 0 0 0 1 -360 360 ;
65 66 0.005409579 0.002675090 0.00007160803 0 0 0 0 0 1 -360 360 ;
67 68 0.002909375 0.002949431 0.00000296247 0 0 0 0 0 1 -360 360 ;
67 72 0.001388941 0.003205550 0.00000486459 0 0 0 0 0 1 -360 360 ;
67 97 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
68 69 0.004000391 0.004055467 0.00000407340 0 0 0 0 0 1 -360 360 ;
69 70 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
70 71 0.004000391 0.004055467 0.00000407340 0 0 0 0 0 1 -360 360 ;
72 73 0.004000391 0.004055467 0.00000407340 0 0 0 0 0 1 -360 360 ;
72 76 0.001010139 0.002331309 0.00000353788 0 0 0 0 0 1 -360 360 ;
73 74 0.005091407 0.005161504 0.00000518432 0 0 0 0 0 1 -360 360 ;
74 75 0.005818751 0.005898861 0.00000592494 0 0 0 0 0 1 -360 360 ;
76 77 0.002003205 0.004719089 0.00000744206 0 0 0 0 0 1 -360 360 ;
76 86 0.003535486 0.008159581 0.00001238258 0 0 0 0 0 1 -360 360 ;
77 78 0.000500801 0.001179772 0.00000186052 0 0 0 0 0 1 -360 360 ;
78 79 0.001126803 0.002654488 0.00000418616 0 0 0 0 0 1 -360 360 ;
78 80 0.002378806 0.005603918 0.00000883745 0 0 0 0 0 1 -360 360 ;
80 81 0.002378806 0.005603918 0.00000883745 0 0 0 0 0 1 -360 360 ;
81 82 0.001252003 0.002949431 0.00000465129 0 0 0 0 0 1 -360 360 ;
81 84 0.009819142 0.009954328 0.00000999833 0 0 0 0 0 1 -360 360 ;
82 83 0.001252003 0.002949431 0.00000465129 0 0 0 0 0 1 -360 360 ;
84 85 0.006909766 0.007004898 0.00000703587 0 0 0 0 0 1 -360 360 ;
86 87 0.002253606 0.005308975 0.00000837232 0 0 0 0 0 1 -360 360 ;
87 88 0.002545703 0.002580752 0.00000259216 0 0 0 0 0 1 -360 360 ;
87 89 0.001377204 0.003244374 0.00000511642 0 0 0 0 0 1 -360 360 ;
89 90 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
89 91 0.001126803 0.002654488 0.00000418616 0 0 0 0 0 1 -360 360 ;
91 92 0.004364063 0.004424146 0.00000444370 0 0 0 0 0 1 -360 360 ;
91 93 0.001126803 0.002654488 0.00000418616 0 0 0 0 0 1 -360 360 ;
93 94 0.004000391 0.004055467 0.00000407340 0 0 0 0 0 1 -360 360 ;
93 95 0.001502404 0.003539317 0.00000558155 0 0 0 0 0 1 -360 360 ;
95 96 0.002909375 0.002949431 0.00000296247 0 0 0 0 0 1 -360 360 ;
97 98 0.001388941 0.003205550 0.00000486459 0 0 0 0 0 1 -360 360 ;
98 99 0.002777882 0.006411099 0.00000972917 0 0 0 0 0 1 -360 360 ;
99 100 0.001515208 0.003496963 0.00000530682 0 0 0 0 0 1 -360 360 ;
101 102 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
101 105 0.001388941 0.003205550 0.00000486459 0 0 0 0 0 1 -360 360 ;
102 103 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
103 104 0.010182813 0.010323007 0.00001036864 0 0 0 0 0 1 -360 360 ;
105 106 0.003273047 0.003318109 0.00000333278 0 0 0 0 0 1 -360 360 ;
105 108 0.001641476 0.003788377 0.00000574906 0 0 0 0 0 1 -360 360 ;
106 107 0.008364454 0.008479613 0.00000851710 0 0 0 0 0 1 -360 360 ;
108 109 0.006546094 0.006636219 0.00000666556 0 0 0 0 0 1 -360 360 ;
109 110 0.004364063 0.004424146 0.00000444370 0 0 0 0 0 1 -360 360 ;
110 111 0.008364454 0.008479613 0.00000851710 0 0 0 0 0 1 -360 360 ;
110 112 0.001818360 0.001843394 0.00000185154 0 0 0 0 0 1 -360 360 ;
112 113 0.007637110 0.007742255 0.00000777648 0 0 0 0 0 1 -360 360 ;
113 61 0.004727735 0.004792825 0.00000481401 0 0 0 0 0 1 -360 360 ;
%18 35 0.001894011 0.004371204 0.00000663353 0 0 0 0 0 1 -360 360 ;
18 135 0.00000001 0.0000001 0.00000 0 0 0 0 0 1 -360 360 ;
135 35 0.001894011 0.004371204 0.00000663353 0 0 0 0 0 1 -360 360 ;
% add bus 135 between bus 18 and 35
%114 1 0.002003205 0.004719089 0.00000744206 0 0 0 0 0 1 -360 360 ;
114 149 0.000000001 0.00000001 0.00000 0 0 0 0 0 1 -360 360 ;
149 1 0.002003205 0.004719089 0.00000744206 0 0 0 0 0 1 -360 360 ;
% add bus 149 between bus 114 and 1
%13 52 0.002003205 0.004719089 0.00000744206 0 0 0 0 0 1 -360 360 ;
13 152 0.00000001 0.0000001 0.00000 0 0 0 0 0 1 -360 360 ;
152 52 0.002003205 0.004719089 0.00000744206 0 0 0 0 0 1 -360 360 ;
% add bus 152 between bus 13 and 52
%60 67 0.001752804 0.004129203 0.00000651181 0 0 0 0 0 1 -360 360 ;
60 160 0.000000001 0.00000001 0.00000 0 0 0 0 0 1 -360 360 ;
160 67 0.001752804 0.004129203 0.00000651181 0 0 0 0 0 1 -360 360 ;
%add bus 160 between bus 60 and 67
%97 101 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
97 197 0.000000001 0.00000001 0.00000 0 0 0 0 0 1 -360 360 ;
197 101 0.001262674 0.002914136 0.00000442235 0 0 0 0 0 1 -360 360 ;
%add bus 197 between bus 97 and 101
%new added branches
108 300 0.001010139*5 0.002331309*5 0.00000353788*5 0 0 0 0 0 1 -360 360 ;
100 450 0.001010139*4 0.002331309*4 0.00000353788*4 0 0 0 0 0 1 -360 360 ;
30 250 0.001021302 0.002294318 0.00000392057 0 0 0 0 0 1 -360 360 ;
51 151 0.001262674*2 0.002914136*2 0.00000442235*2 0 0 0 0 0 1 -360 360 ;
];
%%----- OPF Data -----%%
%% generator cost data
% 1 startup shutdown n x1 y1 ... xn yn
% 2 startup shutdown n c(n-1) ... c0
mpc.gencost = ...
[2 0 0 3 0 1 0;...
ones(85,1)*[2 0 0 3 0 0 0]];