Mathematics, Applied Mathematics, Control and Optimization, Modeling and Simulation
2
Scopus Publications
91
Scholar Citations
6
Scholar h-index
4
Scholar i10-index
Scopus Publications
A quantitative study of the optimal control model for an electric power generating system Y. O. Aderinto, O. M. Bamigbola IEEE AFRICON Conference, 2013 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.
A qualitative study of the optimal control model for an electric power generating system Yidiat O. Aderinto, Mathias O. Bamigbola Journal of Energy in Southern Africa, 2012 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.
RECENT SCHOLAR PUBLICATIONS
Characterization and Analysis of Mathematical Model of Lassa Fever AO Afolabi, YO Aderinto, AY Ayinla, A Azagbaekwue, IT Issa FUOYE Journal of Pure and Applied Sciences (FJPAS) 10 (2), 23-38 , 2025 2025
Optimization of Apiary Products using Crisp Deterministic Method A Azagbaekwue, YO Aderinto Ilorin Journal of Science 11 (3 (Special)), 294-303 , 2024 2024
Simulation of Mathematical Model of Network Interference on Global System for Mobile Communication YO Aderinto, Y Musa Tanzania Journal of Science 49 (1), 48-61 , 2023 2023 Citations: 1
Corner Rules Method of Solving Transportation Problem TO Aliu, YO Aderinto, K Issa Earthline Journal of Mathematical Sciences 10 (2), 305-316 , 2022 2022 Citations: 2
On existence and uniqueness of solutions of mathematical model of biological control of cassava pests YO Aderinto, FO Ibiwoye, OM Bamigbola Frontiers in Multidisciplinary Research Journal 1 (2), 67-74 , 2022 2022
On Mathematical Model of Biological Pest Control of Sorghum Production YO Aderinto, IT Issa, AO Afolabi, OM Bamigbola Earthline Journal of Mathematical Sciences 8 (2), 281-293 , 2022 2022
On Characterization of Optimal Control Model of Whooping Cough AS Ismail, YO Aderinto Earthline Journal of Mathematical Sciences 8 (1), 175-188 , 2022 2022
Optimization of electric power system with transient stability constrained Y Aderinto, L Salaudeen, MO Bamigbola, F Jimoh Mathal Journal of Islamic and Middle Eastern Multidisciplinary Studies 6 (3 … , 2021 2021 Citations: 2
Mathematical Characterization of Biological Control of Cassava Pests Model YO Aderinto, FO Ibiwoye, MO Oke, FM Jimoh Tanzania Journal of Science 47 (5), 1882-1889 , 2021 2021 Citations: 1
Characterization of Optimal Control Model of Sorghum Production YO Aderinto, TL Issa, AO Afolabi, TO Aliu Islamic University, Uganda , 2020 2020
Optimization of Honey Bee Production OY Aderinto, A Azagbaekwue, MO Bamigbola, MO Oke, AA Obayomi, ... International journal of mathematical models and methods in applied sciences … , 2020 2020 Citations: 7
A Nonlinear Conjugate Gradient Algorithm under Strong Wolfe-Powell Line Search for Large Scale Unconstrained Optimization Problems CN Ejieji, MS Daniel, YO Aderinto, AE Akinsunmade Ilorin Journal of Science 6 (1), 25-41 , 2019 2019
On optimal planning of electric power generation systems YO Aderinto, IT Issa Punjab University Journal of Mathematics 50 (1), 86-92 , 2018 2018 Citations: 10
On One-to-One Correspondence Mapping and Its Application to Linear Assignment Problem YO Aderinto, MO Oke, A Rauf Journal of American Science 14 (5), 62-68 , 2018 2018 Citations: 3
Optimal control of air pollution YO Aderinto, OM Bamigbola Punjab University Journal of Mathematics 49 (1), 134-143 , 2017 2017 Citations: 6
Spectral Relaxation Method for Solving Unsteady MHD Heat and Mass Transfer Flow Past a Semi-infinite Vertical Plate YOA M. O. Oke, , B. O. Falodun, , A. A. Obayomi, Journal of The Mathematical Association of Nigeria) 44 (2), 99-111 , 2017 2017
A New Discrete Model for the Simulation of the Dynamics of a Simple Series Circuit RAR A. A. Obayomi, M.O. Oke, Y.O.Aderinto IOSR Journal of Mathematics 13 (3), 31-38 , 2017 2017
Optimal control of Rabies in a meta- population model BMY I. T. Issa, Y . O. Aderinto, A. O. Afolabi Transaction of the Nigerian Association of Mathematical Physics 3 (1), 99-110 , 2017 2017
Fuzzy Model For Osteomyelitis Severity Prediction KVOYO Aderinto FUTA Journal of Research in Sciences 13 (2), 337-342 , 2017 2017
Sensitivity of Materials in an Optimal Control Model of the Electric Power Generator System L Tolulope, OM Bamigbola, YO Aderinto Ilorin Journal of Computer Science and Information Technology 1 (1), 54-70 , 2016 2016
MOST CITED SCHOLAR PUBLICATIONS
On the characterization of optimal control model of electric power generating systems OM Bamigbola, YO Aderinto International journal of physical science 4 (1), 104-115 , 2009 2009 Citations: 13
A qualitative study of the optimal control model for an electric power generating system YO Aderinto, MO Bamigbola Journal of Energy in Southern Africa 23 (2), 65-72 , 2012 2012 Citations: 12
Sensitivity of Parameters in an Optimal Control Model of the Electric Power Generating System YOA T. Latunde, O. M. Bamigbola Ilorin Journal of Computer Science and Information Technology 1 (1), 54-63 , 2016 2016 Citations: 11
On optimal planning of electric power generation systems YO Aderinto, IT Issa Punjab University Journal of Mathematics 50 (1), 86-92 , 2018 2018 Citations: 10
Optimization of Honey Bee Production OY Aderinto, A Azagbaekwue, MO Bamigbola, MO Oke, AA Obayomi, ... International journal of mathematical models and methods in applied sciences … , 2020 2020 Citations: 7
Optimal control of air pollution YO Aderinto, OM Bamigbola Punjab University Journal of Mathematics 49 (1), 134-143 , 2017 2017 Citations: 6
On Optimal Control Model of Electric power Generating System YO Aderinto, OM Bamibgola Global Journal of Mathematics and Statistics 2 (1), 75-85 , 2010 2010 Citations: 6
Modelling Engineering Networks by Using Nodal and Mesh Incidence Matrices YOA M. O. Oke,, R.A. Raji, Journal of Asian Scientific Research 3 (3), 328-336 , 2013 2013 Citations: 4
On One-to-One Correspondence Mapping and Its Application to Linear Assignment Problem YO Aderinto, MO Oke, A Rauf Journal of American Science 14 (5), 62-68 , 2018 2018 Citations: 3
Application of Optimal Control to the Epidemiology of Tuberculosis Transmission AI Adekunle, Y Aderinto, F Agusto Advances in Mathematics, Proceeding of the international Conference in … , 2009 2009 Citations: 3
Corner Rules Method of Solving Transportation Problem TO Aliu, YO Aderinto, K Issa Earthline Journal of Mathematical Sciences 10 (2), 305-316 , 2022 2022 Citations: 2
Optimization of electric power system with transient stability constrained Y Aderinto, L Salaudeen, MO Bamigbola, F Jimoh Mathal Journal of Islamic and Middle Eastern Multidisciplinary Studies 6 (3 … , 2021 2021 Citations: 2
On Iterative Methods For Solving Load Flow Analysis in Electric Power Systems LOSYO Aderinto Journal of the Nigerian Association of Mathematical Physics 28 (2), 297-306 , 2014 2014 Citations: 2
Qualitative Study of Biological Pest Control System YO Aderinto, OM Bamigbola, FM Jimoh, MA Ganiyu, T Aliu Asian Journal of Mathematics and Statistics , 2012 2012 Citations: 2
On a Mathematical Model for the Dynamics of Bird Flu Disease YO Aderinto International Journal of Numerical Mathematics (IJNM) 3 (1), 30-41 , 2008 2008 Citations: 2
Simulation of Mathematical Model of Network Interference on Global System for Mobile Communication YO Aderinto, Y Musa Tanzania Journal of Science 49 (1), 48-61 , 2023 2023 Citations: 1
Mathematical Characterization of Biological Control of Cassava Pests Model YO Aderinto, FO Ibiwoye, MO Oke, FM Jimoh Tanzania Journal of Science 47 (5), 1882-1889 , 2021 2021 Citations: 1
Optimal Control Applied to Electric Power Generating Systems Model YOAOM Bamigbola Ilorin Journal of Science 2 (1), 190-202 , 2015 2015 Citations: 1
Voltage effects on electric power systems generators via iterative methods LOSYO Aderinto Ilorin Journal of Science 2 (2), 412-424 , 2015 2015 Citations: 1
On Controllability Property of Optimal Control Model of Electric Power Generating System YOAOM Bamigbola Journal of Science, Technology, Mathematics and Education (JOSTMED) 10 (2 … , 2014 2014 Citations: 1