Prof. Yidiat Omolade ADERINTO
@unilorin.edu.ng
Professor, Faculty of Physical Sciences
Professor, Faculty of Physical Sciences
University of Ilorin, Ilorin, Nigeria
RESEARCH, TEACHING, or OTHER INTERESTS
Mathematics, Applied Mathematics, Control and Optimization, Modeling and Simulation
Scopus Publications
Scholar Citations
Scholar h-index
Scholar i10-index
Scopus Publications
Y. O. Aderinto and O. M. Bamigbola
IEEE
The importance of electric power in today's world cannot be overemphasized for it is the key energy source for industrial, commercial and domestic activities. Its availability in the right quantity is essential to advancement of civilization. In fact, a direct relationship can be shown to exist between (electric) power availability and per capital of a nation. The economy of a nation is easily identified with the amount of electricity it supplies. The advanced economy of the world generates a lot electric power and hence they witness rapid economical and industrial development. Third-world countries often witness epileptic or unstable supply of electric power. It is common knowledge that to have constant and stable electricity supply, a country needs to invest in its power generation. In the light of this, an optimal control model is proposed herein for the electric power generating system. In the model, the power generated and the capital investment describe the state of the system while the generator capacity is chosen as the control. The goal is to minimize the cost of generation and maximize the generator output without violating operating limits on the equipment. In this study, we consider the minimization of the total operating cost incurred in the process of generating the required quantity of electric power as our specific objective. A quantitative treatment of the optimal control model of the electric power generating system is then undertaken using real-life data. The result of the analysis indicate that the model gave an actual representation of the system under consideration.
Yidiat O. Aderinto and Mathias O. Bamigbola
Academy of Science of South Africa
The economic independence of any nation depends largely on the supply of abundant and reliable electric power and the extension of electricity services to all towns and villages in the country. In this work, the mathematical study of an electric power generating system model was presented via optimal control theory, in an attempt to maximize the power generating output and minimize the cost of generation. The factors affecting power generation at minimum cost are operating efficiencies of generators, fuel cost and transmission losses, but the most efficient generator in the system may not guarantee minimum cost as it may be located in an area where fuel cost is high. We choose the generator capacity as our control ui(t), since we cannot neglect the operation limitation on the equipment because of its lifespan, the upper bound for ui(t) is choosing to be 1 to represent the total capability of the machine and 0 to be the lower bound. The model is analyzed, generation loss free equilibrium and stability is established, and finally applications using real life data is presented using one generator and three generator systems respectively.