Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 795376, 30 pages
Research Article

A New Algorithm for the Available Transfer Capability Determination

1Faculty of Electrical Engineering, MARA University of Technology, Shah Alam, 40450 Selangor, Malaysia
2Centre of Electrical Power Engineering Studies, MARA University of Technology, Shah Alam, 40450 Selangor, Malaysia
3Department of Electrical, Electronic and Systems Engineering, Faculty of Engineering, National University of Malaysia (UKM), Bangi, 43600 Selangor, Malaysia

Received 19 November 2009; Accepted 9 June 2010

Academic Editor: Alois Steindl

Copyright © 2010 Stendley Busan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents a fast and accurate method to determine the available transfer capability. Ralston's method is used to predict the two trajectory points of voltage magnitude, power flow, and maximum generator rotor angle difference. Then, the cubic spline interpolation technique is used to accurately trace the P-V, P-S, or P-Δδ curves between two points of trajectory. The P-V, P-S and P-Δδ curves represent as the variations of voltage magnitude, power, flow and maximum generator rotor angle difference due to the increase of power transfer. The actual available transfer capability value is determined at the intersection point between the curve and the constraints limit. The effectiveness of the proposed method is verified by referring to the results of ATC for a case study of 2737-Polish system and 39-New England bus system. The proposed method gives satisfactorily accurate and fast computation of ATC as compared to recursive AC power flow method.