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多能源网络的广义电路分析理论——(一)支路模型
作者:
作者单位:

1.电力系统及发电设备控制和仿真国家重点实验室,清华大学,北京市 100084;2.清华大学电机与应用电子技术系,北京市 100084

作者简介:

杨经纬(1992—),男,博士研究生,主要研究方向:多能源系统、新能源、电力负荷预测。E-mail:yjw15@mails.tsinghua.edu.cn
张宁(1985—),男,副教授,主要研究方向:新能源、电力系统规划及运行、多能源系统。E-mail:ningzhang@tsinghua.edu.cn

通讯作者:

康重庆(1969—),男,通信作者,教授,主要研究方向:电力规划与运行、可再生能源、能源互联网、低碳电力技术等。E-mail:cqkang@tsinghua.edu.cn

基金项目:

国家自然科学基金重点国际(地区)合作研究项目(51620105007);国家自然科学基金委员会-国家电网公司智能电网联合基金重点项目(U1766212)。


Analysis Theory of Generalized Electric Circuit for Multi-energy Networks —Part One Branch Model
Author:
Affiliation:

1.State Key Laboratory of Control and Simulation of Power System and Generation Equipments, Tsinghua University, Beijing 100084, China;2.Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

Fund Project:

This work is supported by the Major International (Regional) Joint Research Project of National Natural Science Foundation of China (No. 51620105007) and National Natural Science Foundation of China-State Grid Joint Fund for Smart Grid (No. U1766212).

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    摘要:

    多种能源形式的互补与耦合为多能源系统集成带来巨大价值,但不同能源形式遵循不同的物理规律和数学表征形式,为综合分析与协同优化带来了挑战。文中基于拉普拉斯变换这一分析系统动态过程的有力工具,提出了多能源网络的广义电路分析理论。首先,建立了多能源网络支路层能量流的统一数学方程,提出了以拉普拉斯变换为基础的广义电路建模方法,将多能源网络在时域的复杂传输特性转换为拉普拉斯域简单的代数问题,提出了各能源系统能量流的分布参数电路模型,进一步提出了以“支路”为整体单位的支路层能量流集中参数传输模型。文中提出的多能源网络广义电路支路模型能够科学地分析支路层能量流的稳态与动态特性,揭示多能源网络能量流的共性,为多能源系统全网络分析奠定基础。

    Abstract:

    The complementarity and coupling of various energy forms bring great value to the multi-energy system integration. However, different energy systems follow different physical laws and mathematical representations, which challenges the comprehensive analysis and coordinated optimization. Based on Laplace transform, a powerful tool for modeling the dynamic process of a system, this paper proposes a generalized electric circuit analysis theory for multi-energy networks. Firstly, a unified mathematical equation of heterogeneous energy flow in multi-energy networks is established, and the modeling method of generalized electric circuit is proposed based on the Laplace transform. The complex transmission characteristics of multi-energy networks in time domain are transformed into simple algebraic problems in Laplace domain, and the electric circuit model of distributed parameters for energy flow in each energy system is proposed. The lumped-parameter transmission model in branch layer is then proposed, which acts branch as the whole unit. The proposed branch model of generalized electric circuit can scientifically analyze the steady-state and dynamic characteristics of power flow in branch layer and reveal the commonness of energy flow of multi-energy networks, which lays the foundation for the full network analysis of multi-energy systems.

    表 2 Table 2
    Fig.
    图1 电力流均匀传输线模型Fig.1 Uniform transmission line model of power flow
    图2 热力管网热力流模型Fig.2 Heat flow model of heat pipeline network
    图3 天然气管网燃气流传输模型Fig.3 Transmission model of gas flow in natural gas pipeline network
    图4 时域分布参数广义电路模型Fig.4 Generalized electric circuit model of distributed parameters in time domain
    图5 拉普拉斯域分布参数广义电路模型Fig.5 Generalized electric circuit model of distributed parameters in Laplace domain
    图7 第二类边界条件下的有损时延广义电路Fig.7 Time-delay generalized electric circuit with losses under the second category of boundary conditions
    图8 支路热力流分布参数广义电路模型Fig.8 Generalized electric circuit model of distributed parameters in branches of heat flow
    图9 支路热力流集中参数广义电路模型Fig.9 Generalized electric circuit model of lumped parameters in branches of heat flow
    图10 支路热力流模型验证:阶跃形式边界条件Fig.10 Heat flow model verification in branches: boundary conditions with step function
    图11 支路热力流模型验证:正弦形式边界条件Fig.11 Heat flow model verification in branches: boundary conditions with sine function
    图12 供热网示例Fig.12 An example of heat supply network
    图13 支路燃气流分布参数广义电路模型Fig.13 Generalized electric circuit model of distributed parameters in branches of gas flow
    图14 支路燃气流集中参数广义电路模型Fig.14 Generalized electric circuit model of lumped parameters in branches of gas flow
    图15 燃气流线性化误差分析Fig.15 Error analysis of gas flow linearization
    图16 支路燃气流模型验证:阶跃形式边界条件Fig.16 Gas flow model verification in branches: boundary conditions with step function
    图17 支路燃气流模型验证:正弦形式边界条件Fig.17 Gas flow model verification in branches: boundary conditions with sine function
    图18 气网示例Fig.18 An example of gas network
    表 1 Table 1
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引用本文

杨经纬,张宁,康重庆.多能源网络的广义电路分析理论——(一)支路模型[J].电力系统自动化,2020,44(9):21-32. DOI:10.7500/AEPS20200209001.
YANG Jingwei,ZHANG Ning,KANG Chongqing.Analysis Theory of Generalized Electric Circuit for Multi-energy Networks —Part One Branch Model[J].Automation of Electric Power Systems,2020,44(9):21-32. DOI:10.7500/AEPS20200209001.

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  • 收稿日期:2020-02-09
  • 最后修改日期:2020-03-24
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  • 在线发布日期: 2020-05-10
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