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Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number
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Affiliation:

1.Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education (Shandong University), Jinan 250061, China;2.State Grid Jiangsu Electric Power Co., Ltd, Nanjing 210024, China

Fund Project:

This work is supported by State Grid Corporation of China (No. XT-71-18-009), National Natural Science Foundation of China (No. 51607107) and Shandong Provincial Natural Science Foundation of China (No. ZR2018MEE041).

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    Abstract:

    The increasing ratio of DC power supply in the eastern coastal region puts forward the higher requirements for the safe and stable operation of the receiving-end power grid. Thus, it makes the problem of determining the minimum generator number using the voltage stability as the objective is becoming the research hot topic in the new situation. Firstly, this paper proposes the optimization target for determining the minimum generator number, which can be treated as complex nonlinear and integer optimization problem. Secondly, based on the classical non-cooperative game theory, game power flow distribution model is established. At the same time, the established model is improved by considering the power capacity reserve, weak line, critical loads, and special injection power. Converting minimum generator number optimization model into calculating game balance problems, the determination method of minimum generator number is proposed. Finally, the minimum generator number is determined in the test of IEEE 162-node system and Shandong power grid of China, and the rationality of the game power flow distribution model is verified by sensitivity analysis and the comparison between the calculation results from proposed method and Newton method.

    表 2 Table 2
    表 1 IEEE 162节点系统中部分优先计划停运顺序Table 1 Partial priority scheduled removed generator sequence in IEEE 162-node system
    表 3 Table 3
    图1 两阶段博弈过程示意图Fig.1 Schematic diagram of two-stage game process
    图2 最小开机数判定过程Fig.2 Determining process of the minimum generator number
    图3 逐步增加计划停运机组数后潮流计算结果(IEEE 162节点系统)Fig.3 Power flow calculation results after increasing scheduled removed generators(IEEE 162-node system)
    图4 逐步增加计划停运机组数后潮流计算结果(山东电网)Fig.4 Power flow calculation results after increasing scheduled removed generators (Shandong power grid of China)
    图5 博弈中参与人承担成本变化与相角偏移变化Fig.5 Change of cost participants pay and phase angle deviation in game
    图 计划停运机组优先级排序流程Fig. Sorting generator to be removed
    图 博弈潮流分布模型特点分析Fig. Characteristic of game power flow distribution model
    图 IEEE162案例中计划停运单一机组后博弈中参与人承担成本变化与相角偏移变化图Fig. The change of phase angle and game cost after removing one designated generator in IEEE162
    图 计划停运单一机组后博弈中参与人承担成本变化与电压降落变化对比图Fig. The change of voltage amplitude and game cost after removing one designated generator in Shandong grid
    图 IEEE162逐步增加计划停运机组数后博弈中参与人承担成本变化Fig. The change of game cost from increasing the removed generators number in IEEE162
    图 山东电网下逐步增加计划停运机组数后博弈中参与人承担成本变化Fig. The change of game cost from increasing the removed generators number in Shandong grid
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CHEN Quan,DONG Xiaoming,YANG Ming,et al.Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number[J].Automation of Electric Power Systems,2020,44(10):111-118.DOI:10.7500/AEPS20190727004

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History
  • Received:July 27,2019
  • Revised:December 06,2019
  • Adopted:
  • Online: May 22,2020
  • Published: