A New Algorithm for the Available Transfer Capability Determination

Table 5

Performance of Ralston’s method incorporating with cubic-spline interpolation technique.

		ATC (MW)
Area of transfers		Recursive AC Power Flow	Ralston’s with cubic-spline				Relative error percentage (%)				CPU time (minutes)
			Number of steps, n				Number of steps, n				Number of steps, n
Selling area	Buying area		$n=3$	$n=4$	$n=6$	$n=20$	$n=3$	$n=4$	$n=6$	$n=20$	$n=3$	$n=4$	$n=6$	$n=20$
1	2	64	66	64	64	64	3.13	0.0	0.0	0.0	0.03	0.03	0.03	0.05
1	3	78	81	79	79	78	3.85	1.28	1.28	0.0	0.03	0.03	0.03	0.05
2	1	182	184	182	182	182	1.09	0.0	0.0	0.0	0.03	0.03	0.03	0.05
2	3	349	352	350	350	349	0.57	0.29	0.29	0.0	0.03	0.03	0.03	0.05
3	1	323	325	323	323	323	0.62	0.0	0.0	0.0	0.03	0.03	0.03	0.05
3	2	277	278	277	277	277	0.36	0.0	0.0	0.0	0.03	0.03	0.03	0.05