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Cornelius T. Thomas
Achievers University
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A steepest descent algorithm for the optimal control of a cascaded hydropower system Olalekan Ogunbiyi; Cornelius T. Thomas; Oludare Y. Ogundepo; Isaac O. A. Omeiza; Jimoh Akanni; B. J. Olufeagba
International Journal of Electrical and Computer Engineering (IJECE) Vol 10, No 4: August 2020
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (721.053 KB) | DOI: 10.11591/ijece.v10i4.pp4136-4144

Abstract

Optimal power generation along the cascaded Kainji-Jebba hydroelectric power system had been very difficult to achieve. The reservoirs operating heads are being affected by possible variation in impoundments upstream, stochastic factors that are weather-related, availability of the turbo-alternators and power generated at any time. Proposed in this paper, is an algorithm for solving the optimal release of water on the cascaded hydropower system based on steepest descent method. The uniqueness of this work is the conversion of the infinite dimensional control problem to a finite one, the introduction of clever techniques for choosing the steepest descent step size in each iteration and the nonlinear penalty embedded in the procedure. The control algorithm was implemented in an Excel VBA® environment to solve the ormulated Lagrange problem within an accuracy of 0.03%. It is recommended for use in system studies and control design for the optimal power generation in the cascaded hydropower system.
Co-Authors B. J. Olufeagba Isaac O. A. Omeiza Jimoh Akanni Olalekan Ogunbiyi Oludare Y. Ogundepo