A New Algorithm for the Available Transfer Capability Determination

Table 1

Results of area-to-area ATC for the 2737-bus polish power system.

Area of transfers		Limiting line	ATC (MW)		CPU time (minute)		Number of load flow solutions
Selling area	Buying area		Ralston’s with cubic-spline	Recursive AC power flow	Ralston’s with cubic-spline	Recursive AC power flow	Ralston’s with cubic-spline	Recursive AC power flow
1	2	713–449	914	914	0.31	38.68	10	914
1	3	91–131	953	953	0.32	40.19	10	953
1	4	2092–1972	655	655	0.33	41.17	10	655
1	5	2562–2092	182	183	0.31	38.68	10	183
1	6	2737–1872	175	175	0.29	36.18	10	175
2	1	2562–2092	1472	1472	0.32	40.31	10	1472
2	3	1593–741	1088	1087	0.33	41.87	10	1087
2	4	2092–1972	655	655	0.32	40.22	10	655
2	5	2562–2092	194	193	0.29	37.04	10	193
2	6	2737–1872	175	175	0.31	38.65	10	175
3	1	2562–2092	593	593	0.31	38.67	10	593
3	2	2562–2092	982	981	0.30	38.34	10	981
3	4	2092–1972	727	726	0.33	41.32	10	726
3	5	2562–2092	160	161	0.31	38.66	10	161
3	6	2737–1872	175	175	0.30	37.01	10	175
4	1	2216– 2092	14	14	0.29	37.06	10	14
4	2	2216– 2092	14	14	0.32	40.56	10	14
4	3	2216– 2092	14	14	0.35	44.53	10	14
4	5	2216– 2092	21	20	0.30	37.12	10	20
4	6	2216–2092	14	14	0.31	37.41	10	14
5	1	2216– 2092	35	34	0.32	40.13	10	34
5	2	2216– 2092	34	34	0.32	40.75	10	34
5	3	2216– 2092	34	34	0.33	41.75	10	34
5	4	2216– 2092	174	173	0.34	42.47	10	173
5	6	2216 –2092	34	34	0.31	36.11	10	34
6	1	2216–2092	128	128	0.33	40.73	10	128
6	2	2216– 2092	125	125	0.32	39.91	10	125
6	3	2216– 2092	121	121	0.34	41.18	10	121
6	4	696–453	929	929	0.33	41.14	10	929
6	5	2562–2092	133	132	0.31	38.12	10	132