An economic-environmental energy management system design for MT-HVDC networks via a semi-definite programming approximation with robust analysis

IF 6 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Wilmar Contreras-Sepúlveda , Oscar Danilo Montoya , Walter Gil-González
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引用次数: 0

Abstract

This research deals with the economic-environmental dispatch problem (EEDP) in multi-terminal high-voltage direct-current (MT-HVDC) systems by proposing a convex approximation based on semi-definite programming (SDP). The exact formulation of the EEDP corresponds to a non-convex, nonlinear programming problem due to the presence of a nonlinear quadratic constraint regarding the products between voltage variables. The thermal plants' economic and objective functions are modeled using typical quadratic functions. The SDP approach allows reaching a convex approximation that ensures the global optimal solution for each objective function independently or the construction of the optimal Pareto front via the weighting-factor optimization methodology. The proposed SDP approach also considers uncertainties in the demand and in the available power of renewable sources, which makes it robust. The main contribution of this research is a multi-period analysis that includes large-scale renewable generation sources and a robust analysis regarding demand and variations in renewable generation. Numerical results in two MT-HVDC systems demonstrate the effectiveness of the proposed SDP approach when compared to combinatorial optimization algorithms. All numerical simulations were carried out using the CVX convex disciplined tool, with the help of the SEDUMI and SDPT solvers, in the MATLAB programming environment.

通过半有限编程近似和稳健分析,为 MT-HVDC 电网设计经济-环境能源管理系统
本研究通过提出一种基于半有限编程(SDP)的凸近似方法来解决多端高压直流(MT-HVDC)系统中的经济环境调度问题(EEDP)。由于电压变量之间的乘积存在非线性二次约束,EEDP 的精确表述相当于一个非凸非线性编程问题。热电厂的经济和目标函数采用典型的二次函数建模。采用 SDP 方法可以获得凸近似值,确保每个目标函数都能独立获得全局最优解,或通过权重系数优化方法构建最优帕累托前沿。所提出的 SDP 方法还考虑了需求和可再生能源可用功率的不确定性,因此具有很强的鲁棒性。本研究的主要贡献在于包含大规模可再生能源发电的多期分析,以及对需求和可再生能源发电变化的稳健分析。两个 MT-HVDC 系统的数值结果表明,与组合优化算法相比,所提出的 SDP 方法非常有效。所有数值模拟均在 MATLAB 编程环境中使用 CVX 凸约束工具,并在 SEDUMI 和 SDPT 求解器的帮助下进行。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Ain Shams Engineering Journal
Ain Shams Engineering Journal Engineering-General Engineering
CiteScore
10.80
自引率
13.30%
发文量
441
审稿时长
49 weeks
期刊介绍: in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.
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