Affiliations: [a]
Young Researchers and Elite Club, Dariun Branch, Islamic Azad University, Dariun, Fars, Iran
| [b]
Power and Control department, Engineering faculty No. 1, Shiraz University, Shiraz, Iran
Correspondence:
[*]
Corresponding author. Mahdi Mehrtash, Young Researchers and Elite Club, Dariun Branch, Islamic Azad University, Dariun, Fars, P.O. Box: 71466-18317, Iran. Tel.: +98 713 228 2567; E-mail: [email protected].
Abstract: Security-constrained economic dispatch (SCED) which is used to minimize the operation cost of the committed units with the constraints of power balance, ramp rate, and unit capacity is one of the routine challenges in power system operation. In this paper, a nonparametric estimation method based on kernel density and linear diffusion is proposed to obtain continuous probability density functions for probabilistic SCED outcomes. It is assumed that the probabilistic SCED problem is the second stage of a two-stage problem, while stochastic security-constrained unit commitment is the first stage. To evaluate the efficacy of the proposed method, a 6-bus test system and IEEE 118-bus system are used as case studies. Implementing the proposed method on these case studies demonstrates the accuracy of the proposed method for large scale power systems.
Keywords: Benders’ decomposition, kernel density estimation, linear diffusion method, probabilistic security-constrained economic dispatch, security-constrained unit commitment
