Our paper addresses an integral model of the large electric power system optimal development. The model takes into account the age structure of the main equipment, which is divided into several types regarding its technical characteristics. This mathematical model is a system of Volterra type integral equations with variable integration limits. | Yugoslav Journal of Operations Research xx (2018), Number nn, zzz–zzz DOI: NUMERICAL SOLUTION OF THE AGE STRUCTURE OPTIMIZATION PROBLEM FOR BASIC TYPES OF POWER PLANTS Evgeniia V. MARKOVA Melentiev Energy Systems Institute SB RAS, Lermontov 130, 664033 Irkutsk, Russia markova@ Inna V. SIDLER Melentiev Energy Systems Institute SB RAS, Lermontov 130, 664033 Irkutsk, Russia Received: October 2017 / Accepted: February 2018 Abstract: Our paper addresses an integral model of the large electric power system optimal development. The model takes into account the age structure of the main equipment, which is divided into several types regarding its technical characteristics. This mathematical model is a system of Volterra type integral equations with variable integration limits. The system describes the balance between the given demand for electricity, the commissioning of new equipment and the dismantling of obsolete equipment, as well as the shares of different types of power plants in the total composition of the electric power system equipment. Based on the developed model, we got numerical solution to the problem of finding the optimal strategy for replacing equipment with a minimum of the cost functional. The case study is the Unified Electric Power System of Russia. Calculations of the forecast for development of the electric power system of Russia until 2050 were made using real-life data. Keywords: Integral Models of Developing Electric Power Systems, Lifetime, Optimization Problem, Numerical Solution. MSC: 90C90, 65D30, 45D05. 2 . Markova, . Sidler / Age Structure Optimization Problem 1. INTRODUCTION Important tasks of modern electric power industry are associated with high wear and tear of fixed production assets at low rates of upgrading it. At present, a significant part of the main equipment at power facilities is operated beyond the normative lifetime. This can lead to an .
