基于Minkowski Sum的热泵负荷调度灵活性聚合方法

LI Zihao

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基于Minkowski Sum的热泵负荷调度灵活性聚合方法

更新时间：2025-08-13

- 基于Minkowski Sum的热泵负荷调度灵活性聚合方法
- Automation of Electric Power Systems Vol. 43, Issue 5, Pages: 14-21(2019)
- 作者机构：
  
  清华大学电机工程与应用电子技术系,北京市,100084
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2019
- 稿件说明：
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LI Zihao. [J]. Automation of electric power systems, 2019, 43(5): 14-21.
DOI：

LI Zihao. [J]. Automation of electric power systems, 2019, 43(5): 14-21. DOI：

摘要

随着“煤改电”工程的实施，配电网中的热泵负荷显著增加。站在热泵用户的角度，采用合作博弈模式联盟热泵的调度灵活性参与配电网日前调度。为准确刻画该热泵负荷集群的聚合灵活性，采用基于Minkowski Sum的约束空间叠加方法，并通过寻找其最大内接正方体或直角棱锥简化约束而将热泵集群刻画为“虚拟同步机”或“虚拟储能”模型。进一步地，提出基于近似Shapley Value的用户间收益分配方法。基于IEEE 33节点系统的算例证明了本方法的有效性。

Abstract

With the implementation of the “coal to electricity” project

the heat pump load in the distribution network increases significantly. Standing in the point of heat pump users

cooperative game mode is used for heat pumps joining in day-ahead dispatching of distribution network. In order to accurately describe the polymerization flexibility of the heat pump load cluster

this paper uses the constraint space superposition method based on Minkowski Sum

and describes the heat pump cluster as a “virtual synchronous machine” or “virtual energy storage” model by looking for its maximal inner cube or rectangular pyramid simplification constraint. Furthermore

a method of income distribution among users based on approximated Shapley Value is proposed. The validity of the proposed method is verified by the case based on IEEE 33 mode system.

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