Random block-coordinate methods for inconsistent convex optimisation problems

Table 1 Parameters for the 15-bus network based on [5]

n	\(S_{n}\)	\(R_{n}{\cdot}10^{3}\)	\(X_{n}{\cdot}10^{3}\)	\(B_{n}{\cdot}10^{3}\)	\(\underline{P}_{n}\)	\(\overline{P}_{n}\)	\(E_{n} \)	\(\tau ^{c}_{n}\)
1	2.000	1.0	120.0	1.1	[0.593,0.256]	[1.566,1.539]	2.213	0.234
2	0.256	88.3	126.2	2.8	[0.000,0.000]	[0.000,0.000]	0.000	0.000
3	0.256	138.4	197.8	2.4	[0.003,0.011]	[0.020,0.035]	0.047	0.418
4	0.256	19.1	27.3	0.4	[0.015,0.013]	[0.027,0.019]	0.033	0.249
5	0.256	17.5	25.1	0.8	[0.021,0.024]	[0.043,0.053]	0.072	0.251
6	0.256	48.2	68.9	0.6	[0.017,0.001]	[0.032,0.037]	0.039	0.251
8	0.256	40.7	58.2	1.2	[0.021,0.009]	[0.040,0.039]	0.049	0.251
7	0.256	52.3	74.7	0.6	[−0.233,−0.210]	[−0.173,−0.115]	−0.352	0.000
9	0.256	10.0	14.3	0.4	[0.008,0.002]	[0.032,0.028]	0.015	0.620
10	0.256	24.1	34.5	0.4	[0.004,0.001]	[0.024,0.040]	0.013	0.300
11	0.256	10.3	14.8	0.1	[0.010,0.010]	[0.015,0.024]	0.028	0.250
12	0.600	1.0	120.0	0.1	[0.243,0.057]	[0.642, 0.625]	0.895	0.208
13	0.204	155.9	111.9	0.2	[0.001,0.000]	[0.003,0.003]	0.003	0.571
14	0.204	95.3	68.4	0.1	[0.015,0.012]	[0.032,0.042]	0.042	0.371