Table of Contents
ISRN Renewable Energy
Volume 2011, Article ID 309496, 8 pages
Research Article

Risk-Constrained Unit Commitment of Power System Incorporating PV and Wind Farms

Renewable Energy Laboratory, Department of Electrical Engineering, Amirkabir University of Technology (Tehran Polytecnic), Hafez Avenue 424, Tehran 15875-4413, Iran

Received 21 August 2011; Accepted 26 September 2011

Academic Editors: C. Lubritto, L. Ozgener, P. Poggi, and P. Tsilingiris

Copyright © 2011 Sajjad Abedi 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.


Wind and solar (photovoltaic) power generations have rapidly evolved over the recent decades. Efficient and reliable planning of power system with significant penetration of these resources brings challenges due to their fluctuating and uncertain characteristics. In this paper, incorporation of both PV and wind units in the unit commitment of power system is investigated and a risk-constrained solution to this problem is presented. Considering the contribution of PV and wind units, the aim is to determine the start-up/shut-down status as well as the amount of generating power for all thermal units at minimum operating cost during the scheduling horizon, subject to the system and unit operational constraints. Using the probabilistic method of confidence interval, the uncertainties associated with wind and PV generation are modeled by analyzing the error in the forecasted wind speed and solar irradiation data. Differential evolution algorithm is proposed to solve the two-stage mixed-integer nonlinear optimization problem. Numerical results indicate that with indeterminate information about the wind and PV generation, a reliable day-ahead scheduling of other units is achieved by considering the estimated dependable generation of PV and wind units.