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arXiv 2506.03430eess.SYcs.SY
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双阶段双向逆变器等效电路模型用于配电网稳态分析与优化

Two-Stage Bidirectional Inverter Equivalent Circuit Model for Distribution Grid Steady-State Analysis and Optimization

University of Vermont(佛蒙特大学)

Emmanuel O. Badmus, Amritanshu Pandey

AI总结:

本文提出了一种双阶段双向逆变器等效电路模型,用于提升配电网稳态分析与优化的精度和兼容性。

摘要:

本文提出了一种基于物理的双阶段双向逆变器稳态等效电路模型。这些逆变器用于将分布式能源资源(如光伏和电池系统)连接到配电网。现有逆变器模型在三个方面存在技术缺陷:i)对逆变器损耗的建模不充分;ii)使用数学抽象来表示双向功率流动;iii)无法将不同控制模式整合到非线性求解器中而不失去一般性。我们提出了一种以物理为基础的模型,该模型基于电路级原理明确捕捉被动电路组件中的损耗。我们通过将损耗项作为电流的平滑、符号感知表达式来实现双向功率流动,而无需二进制或互补约束。我们引入并参数化受控电流源,使用二次可微的连续函数以实现逆变器控制模式而不失去一般性。我们将分布式能源资源与所提出的逆变器模型整合到配电网的负载母线中,以对具有超过20000个节点的现实配电网进行功率流动和优化研究。我们证明了所提出的模型更加准确,能够无缝整合各种控制模式而不失去一般性,并且能够稳健地扩展到大规模优化问题。

英文摘要:

This paper presents a \textit{physics-based} steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to distribution grids. Existing inverter models have technical gaps on three fronts: i) inadequate modeling of inverter losses; ii) use of mathematical abstractions for bidirectional flow of power; and iii) inability to integrate different control modes into nonlinear solvers without loss of generality. We propose a physics-first model that explicitly captures losses in passive circuit components based on circuit-level principles. We enable bidirectional power flow without binary or complementarity constraints by formulating loss terms as smooth, sign-aware expressions of current. We introduce and parameterize controlled current sources with twice-differentiable continuous functions to enable inverter control modes without loss of generality. We integrate DERs with the proposed inverter model at the load buses of distribution networks to perform power flow and optimization studies on real-world distribution networks with over 20,000 nodes. We demonstrate that the proposed model is more accurate, integrates seamlessly with various control modes without loss of generality, and scales robustly to large optimization problems. Index Terms: bidirectional inverter model, circuit-based modeling, DERs, inverter efficiency, power control, steady-state analysis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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