Abstract
The paper focuses on the development of a mathematical model for scheduling electric power system (EPS) states for the medium-term period divided into several time intervals. The model allows calculating the equilibrium state in the EPS, in which each supplier receives the maximum profit from the electricity supply to the wholesale market. The price levels in the EPS are determined by finding the maximum value of the social welfare given the balance constraints at the EPS nodes and the constraints on feasible state variables over several time intervals. Approaches to solving the multi-interval problem of search for an equilibrium states are considered. The approaches involve building a system of joint optimality conditions for electricity suppliers in the considered time intervals. The equilibrium state is found either by directly solving such a system or through an iterative search. The paper demonstrates the results of the medium-term scheduling of the state by an example of a simplified electric power system.. electric power system..
Highlights
Scheduling of states in electric power systems (EPSs) is an important task of operational dispatch control [1]
The paper presents a mathematical model of medium-term scheduling of EPS states
Changing EPS operation conditions include the balances of electricity and power, the implementation of repair schedules for generation and network equipment, the values of transfer capabilities of lines and cutsets, and the results of trading in the wholesale market
Summary
Scheduling (forecasting) of states in electric power systems (EPSs) is an important task of operational dispatch control [1]. System operator should more carefully model the behavior of market prices and consider the possible reaction of consumers to their change; - Most suppliers seek to maximize their profits They do not aim at achieving the minimum total costs of electricity production in the electric power system; - Individual power plants are part of generating companies (GenCos) that pursue their corporate goals. Scheduling of the ESP state should allow for the oligopolistic nature of the wholesale market, in which the scheduling of generation by one supplier should take into account a possible behavior of other GenCos. For the medium-term scheduling, one should consider the constraints that relate individual time intervals. This paper aims to introduce a new statement of the problem of medium-term scheduling of energy system states, which meets the conditions of the domestic wholesale electricity and capacity market and factors in the desire of electricity suppliers to achieve maximum profit. Pgtimax is the maximum allowable value for Pgti; VgMi is the amount of generated electricity over М intervals; VgMi max , VgMi min are the minimum and maximum amounts of generated electricity over М intervals; Pdti is the power consumed at node i in interval t; pit is the electricity price at node i in time interval t; Qgti is the water flow through the turbines of the i-th HPP in interval t; QgMi max, QgMi min are the maximum and minimum allowable volumes of water drawdown from a reservoir of the i-th HPP or an allowable amount of fuel consumed at the i-th thermal power plant over М intervals; Pitj is the power flow between nodes i and j in interval t; Pitj max is the maximum allowable value for Pitj; Δtij is the share of losses from flow Pitj in tie line i-j in interval t; GK is a set of generating companies
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