【论文推荐】俄罗斯科学院西伯利亚分院梅伦捷夫能源系统研究院纳塔莉亚·艾森伯格等：电力系统运行状态中期调度研究

原创英文期刊编辑部全球能源互联网期刊 2022-11-14 08:00

摘要

本文提出了一种电力系统运行状态中期调度的数学模型。调度周期分为几个时间间隔。该模型可用于确定每个供应商从向电力市场供电中获得最大利润的平衡状态。我们估计了电力供应商和消费者的总财务收益，以确定电力系统节点的价格。这是通过考虑电力系统节点处的平衡约束以及发电量、功率流和若干时间间隔内消耗的能源资源量的允许值的约束来实现的。我们考虑了两种解决多区间平衡态问题的方法。第一种方法涉及直接求解电力供应商和消费者的联合最优条件系统。第二种方法涉及迭代搜索，直到达到平衡状态。本文通过一个简化的真实电力系统的案例研究，给出了中期调度结果。

Medium-term scheduling of operating states in electric power systems

电力系统运行状态中期调度研究

Aizenberg N.¹, Palamarchuk S.¹

(1. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences, 664033, 130 Lermontov st., Irkutsk, Russia)

Abstract

This article presents a mathematical model for the medium-term scheduling of the operating states of electric power systems. The scheduling period is divided into several time intervals. The model can be used to determine the equilibrium state in which each supplier earns maximum profit from supplying electricity to the wholesale market. We estimated the maximum value of public welfare, which indicates the total financial gains of suppliers and consumers, to determine the prices at the nodes of the power system. This was done by considering the balance constraints at the nodes of the power system and constraints on the allowable values of generation, power flows, and volumes of energy resources consumed over several time intervals. This problem belongs to the class of bi-level Stackelberg game-theoretic models with several leaders. The market equilibrium is modeled simultaneously in several intervals, given the multiplicity and duration of interactions. We considered two approaches for solving the multi-interval equilibrium state problem. The first approach involved directly solving a system of joint optimality conditions for electricity suppliers and consumers. The second approach involved iterative searches until the equilibrium state was reached. This article presents the results of medium-term scheduling using a case study of a simplified real-world power system.

Keywords

Scheduling, Mathematical model, Optimality conditions, Imperfect competition, Equilibrium state, Nodal prices.

Fig.1 The circuit of the power system considered in the case study

Fig.2 Change in the electricity consumption at several nodes in the case of social welfare maximization compared to the case of imperfect competition

Fig.3 Change in electricity generation at TPPs at node 1 and in total for the system in the case of social welfare maximization compared to the case of imperfect competition

Fig.4 Increase in the profit of suppliers when switching to profit maximization with and without cross-interval constraints

Fig.5 Prices at several nodes of the power system for the case of social welfare maximization

Fig.6 Nodal prices (thousand rub.) in the case of imperfect competition and in the case of social welfare maximization

本文引文信息

Aizenberg N, Palamarchuk S (2022) Medium-term scheduling of operating states in electric power systems. Global Energy Interconnection, 5(5): 472-483

纳塔莉亚·艾森伯格，谢尔盖·帕拉马楚克 (2022) 电力系统运行状态中期调度研究. 全球能源互联网（英文）, 5(5): 472-483

Biographies

Natalia Aizenberg

Natalia Aizenberg received her diploma in Mathematics from Irkutsk State University in 1993. In 2000, she defended her doctoral thesis in mathematical economics at the Institute of Economics and Industrial Organization in Novosibirsk. In 2005, she was awarded the title of associate professor. Currently, she is a senior researcher at the Melentiev Energy Systems Institute SB RAS and a lecturer at the Institute of Economics at Far Eastern Federal University. Her research interests include mathematical modeling of wholesale and retail electricity markets, modeling of imperfect competition markets, game theory, contract theory, and spatial economics. She is the author of two books and more than 60 articles.

Sergey I. Palamarchuk

Sergey I. Palamarchuk graduated from Irkutsk State Polytechnic Institute, Irkutsk, Russia, in 1968. In 1997, he defended the post- doctoral thesis in electric power engineering at Melentiev Energy Systems Institute (ESI) of the Russian Academy of Sciences. At present, he is a chief researcher at ESI and part-time professor at Irkutsk State Technical University. His principal areas of research are the power industry restructuring, market design and organization. He is the author of more than 150 articles.

编辑：王彦博

审核：王伟

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Medium-term scheduling of operating states in electric power systems

【论文推荐】俄罗斯科学院西伯利亚分院梅伦捷夫能源系统研究院 纳塔莉亚·艾森伯格等：电力系统运行状态中期调度研究

郑重声明

【论文推荐】俄罗斯科学院西伯利亚分院梅伦捷夫能源系统研究院纳塔莉亚·艾森伯格等：电力系统运行状态中期调度研究