Визначення оптимальних режимів функціонування енергосистеми України при покритті добового графіка електричних навантажень, забезпеченні необхідних обсягів резервування та використанні накопичуючих потужностей

Abstract

We propose a model of mathematical programming with integer variables, the use of which provides a search for the optimal modes of redundancy and loading of storage capacities of the power plants in Ukraine with covering the daily schedule of electrical loads. The main purpose of this work is to create a tool for studying the possibilities of optimized dispatching of generating capacities of thermal power plants, as well as generating and reserve capacities of high-power storage units within the IPS of Ukraine, the limits of permissible values of the parameters of generating and storing capacities, at which stable balanced operation of the energy system is possible. The model enables one to determine the optimal modes of using generating and storing capacities for covering the schedule of electrical loads without using storage and with using storage at different values of the total installed and peak power of SES and wind farms. The model takes into account the specific features of the operation of reserve and storage capacities of the Ukrainian energy system – the maximal possibilities for change in the power of storage and generation of electricity units of the Ukrainian energy system and possibility to provide support for frequency recovery reserves (secondary regulation) at a given level, located at thermal power plants, PSPPS, and high-power storage facilities. The model enables us to study the possibilities of optimized dispatching of the components of the IPS of Ukraine, the limits of permissible values of parameters of generating and storing capacities, at which stable balanced operation of the energy system is possible and can be applied in the tasks of forming forecast balances covering daily schedules of electric loads to study the prospects for short- and long-term development of storage and generating capacities of the national energy system, which is relevant under conditions of rapid growth of the capacity of wind and solar power plants. The model is implemented in the mathprog algebraic modeling language, which is a component of the Solver Studio optimization package and uses the COIN-OR PuLP modeling language. Keywords: power system, daily load schedule of the power system, reserve and storage capacities, model of mathematical programming with integer variables, optimal solution