A Developed Approach Based on Lagrange Linear Prediction for Time-series Power-flow Simulation

Abstract

This paper presents a developed predictor formulation for performing the time-series power-flow simulation of balanced and unbalanced distribution systems. The developed technique uses the changes in reactive and active powers of loads during the 24 hr in order to predict the updated voltage magnitudes and phase angles, respectively. The Lagrange linear interpolation is used as a predictor approach in the developed formulation. The developed technique is compared with the traditional technique that uses the previous solution as predictor values for the next solution. The conventional and developed techniques are implemented into forward/backward sweep for the three-phase radial distribution power-flow algorithm. The iterations number and computation time of the power-flow algorithm are significantly reduced in the case of using the developed technique compared with the previous solution technique. To prove its effectiveness, the developed technique is adopted for IEEE test systems, such as the radial balanced 69-node and unbalanced IEEE 123-node feeder. All calculations are performed using C++ programming.

Keywords:

• distribution networks
• voltage profile
• Lagrange interpolation
• time-series simulation
• predictor
• forward/backward sweep
• load flow
• daily load curve

Additional information

Notes on contributors

Ali Selim

Ali Selim received his B.Sc. and M.Sc. degrees in Electrical Engineering from Aswan University, Egypt, in 2010 and 2016, respectively. He is currently a Ph.D. student in the Department of Electrical Engineering at University of Jaén, Spain. His research interests include mathematical optimization, planning and control of power systems, renewable energies, energy storage, and smart grids.

Mamdouh Abdel-Akher

Mamdouh Abdel-Akher received the B.Sc. and M.Sc. degrees from Assiut University, Egypt, in 1997 and 2002, respectively, and the Ph.D. in 2006 from University of Malaya, Kuala Lumpur, Malaysia. Since 1999, he has been associated with the Department of Electrical Engineering, Aswan University, Egypt as a Research Engineer, and since 2002, as an Assistant Lecturer, and since 2013, as an Associate Professor. He is currently an Associate Professor in the Department of Electrical Engineering, College of Engineering, Qassim University, Kingdom of Saudi Arabia. His current research interest is in power system analysis and simulation.

Salah Kamel

Salah Kamel received the international Ph.D. degree from University of Jaen, Spain (Main) and Aalborg University, Denmark (Host) in January 2014. He is an Assistant Professor in Electrical Engineering Department, Aswan University. He is currently a Senior Research Fellow in State Key Laboratory of Power Transmission Equipment and System Security and New Technology, School of Electrical Engineering, Chongqing University, Chongqing, China. Also, he is a leader for power systems research group in the Advanced Power Systems Research Laboratory (APSR Lab), Aswan, Egypt. His research activities include power system modeling, analysis and optimization, renewable energy, and smart grid technologies.

Mohamed M. Aly

Mohamed M. Aly received the B.Sc. degree from Assiut University, Egypt, in 1994. He obtained his Ph.D. from Cardiff University, United Kingdom, in 2003. Since 2004, he is working as an Assistant Professor in the Department of Electrical Engineering, Aswan Faculty of Engineering, Aswan University, Aswan, Egypt. His research interests are power applications of superconductors, power systems stability, power systems quality and control, and modeling and control of wind turbines.