Comparison of Lower Bound obtained with different values of the penalty factor using the conventional PHA and the proposed FW-PHA methods.
Abstract:
The instantaneous penetration of renewable generation, such as wind and solar generation, reaches over 50% in certain balancing areas in the United States. These generati...Show MoreMetadata
Abstract:
The instantaneous penetration of renewable generation, such as wind and solar generation, reaches over 50% in certain balancing areas in the United States. These generation resources are inherently characterized by uncertainties and variabilities in their output. Stochastic security-constrained unit commitment (S-SCUC) using a progressive hedging algorithm (PHA) has been utilized to schedule the generation resources under uncertainties. However, dual bounds obtained in the PHA are sensitive to the penalty factor chosen, and the convergence of the PHA is problematic due to the existence of integer decisions. In this paper, we apply a novel Frank-Wolfe-based simplicial decomposition method in conjunction with the PHA (FW-PHA) to improve the quality of dual bounds and the convergence characteristics in solving the S-SCUC. The numerical tests are carried out on the IEEE RTS-96 and IEEE 118-bus systems. The numerical results show the effectiveness of the proposed FW-PHA-based S-SCUC. In comparison with the traditional PHA, the proposed algorithm converges to a tighter dual bound and is robust to any penalty factor selected.
Comparison of Lower Bound obtained with different values of the penalty factor using the conventional PHA and the proposed FW-PHA methods.
Published in: IEEE Access ( Volume: 7)

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Ananth M. Palani (M’99) received the B.E. degree in electrical and electronics engineering from Annamalai University, Annamalai Nagar, India, and the M.S. degree in electrical engineering from Kansas State University, KS, USA, where he is currently pursuing the Ph.D. degree in electrical engineering focusing on large-scale optimizations applied to power markets.
Ananth M. Palani (M’99) received the B.E. degree in electrical and electronics engineering from Annamalai University, Annamalai Nagar, India, and the M.S. degree in electrical engineering from Kansas State University, KS, USA, where he is currently pursuing the Ph.D. degree in electrical engineering focusing on large-scale optimizations applied to power markets.View more

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Hongyu Wu (M’09–SM’15) received the B.S. degree in energy and power engineering and the Ph.D. degree in control science and engineering from Xi’an Jiaotong University, Shaanxi, China. He was a Research Engineer with the Power Systems Engineering Center, National Renewable Energy Laboratory, Golden, CO, USA. He is currently an Assistant Professor with the Department of Electrical and Computer Engineering, Kansas State Univ...Show More
Hongyu Wu (M’09–SM’15) received the B.S. degree in energy and power engineering and the Ph.D. degree in control science and engineering from Xi’an Jiaotong University, Shaanxi, China. He was a Research Engineer with the Power Systems Engineering Center, National Renewable Energy Laboratory, Golden, CO, USA. He is currently an Assistant Professor with the Department of Electrical and Computer Engineering, Kansas State Univ...View more

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Medhat M. Morcos (M’78–SM’86) received the Ph.D. degree in electrical engineering from the University of Waterloo, ON, Canada, in 1984. He is currently a Professor Emeritus of electrical and computer engineering and a University Distinguished Scholar with Kansas State University, Manhattan. His current research interests include artificial intelligence applications in power quality and power systems protection, power elec...Show More
Medhat M. Morcos (M’78–SM’86) received the Ph.D. degree in electrical engineering from the University of Waterloo, ON, Canada, in 1984. He is currently a Professor Emeritus of electrical and computer engineering and a University Distinguished Scholar with Kansas State University, Manhattan. His current research interests include artificial intelligence applications in power quality and power systems protection, power elec...View more

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Ananth M. Palani (M’99) received the B.E. degree in electrical and electronics engineering from Annamalai University, Annamalai Nagar, India, and the M.S. degree in electrical engineering from Kansas State University, KS, USA, where he is currently pursuing the Ph.D. degree in electrical engineering focusing on large-scale optimizations applied to power markets.
Ananth M. Palani (M’99) received the B.E. degree in electrical and electronics engineering from Annamalai University, Annamalai Nagar, India, and the M.S. degree in electrical engineering from Kansas State University, KS, USA, where he is currently pursuing the Ph.D. degree in electrical engineering focusing on large-scale optimizations applied to power markets.View more

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Hongyu Wu (M’09–SM’15) received the B.S. degree in energy and power engineering and the Ph.D. degree in control science and engineering from Xi’an Jiaotong University, Shaanxi, China. He was a Research Engineer with the Power Systems Engineering Center, National Renewable Energy Laboratory, Golden, CO, USA. He is currently an Assistant Professor with the Department of Electrical and Computer Engineering, Kansas State University (K-State), Manhattan, KS, USA. His research interests include modeling and optimization of power systems, energy management systems, renewable energy integration, and cybersecurity in smart grid.
Hongyu Wu (M’09–SM’15) received the B.S. degree in energy and power engineering and the Ph.D. degree in control science and engineering from Xi’an Jiaotong University, Shaanxi, China. He was a Research Engineer with the Power Systems Engineering Center, National Renewable Energy Laboratory, Golden, CO, USA. He is currently an Assistant Professor with the Department of Electrical and Computer Engineering, Kansas State University (K-State), Manhattan, KS, USA. His research interests include modeling and optimization of power systems, energy management systems, renewable energy integration, and cybersecurity in smart grid.View more

Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS, USA
Medhat M. Morcos (M’78–SM’86) received the Ph.D. degree in electrical engineering from the University of Waterloo, ON, Canada, in 1984. He is currently a Professor Emeritus of electrical and computer engineering and a University Distinguished Scholar with Kansas State University, Manhattan. His current research interests include artificial intelligence applications in power quality and power systems protection, power electronics, insulation systems, and high-voltage engineering. He is a member of the Editorial Board of the international journal Electric Power Components and Systems.
Medhat M. Morcos (M’78–SM’86) received the Ph.D. degree in electrical engineering from the University of Waterloo, ON, Canada, in 1984. He is currently a Professor Emeritus of electrical and computer engineering and a University Distinguished Scholar with Kansas State University, Manhattan. His current research interests include artificial intelligence applications in power quality and power systems protection, power electronics, insulation systems, and high-voltage engineering. He is a member of the Editorial Board of the international journal Electric Power Components and Systems.View more