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Fast and reliable uncertain power flow analysis by affine arithmetic

机译：基于仿射算法的快速可靠的不确定潮流分析

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摘要

The massive penetration of renewable power generators in modern power systems is pushing the research in developing reliable computing techniques aimed at addressing the issues caused by the increasing uncertainty sources induced by their intermittent power profiles and the corresponding power transactions. In this domain affine arithmetic-based power flow analysis has been recognized as one of the most promising research directions, since it allows to address many important power systems operation functions by directly keeping track of uncertainties propagation as part of the computation process. Anyway, AA-based computing requires the deployment of specific software modules implementing the main AA-based mathematical operators, which could increase the overall complexity of the solution algorithms. To reduce the complexity of AA-based power flow analysis, this paper proposes a new formulation of the uncertain power flow equations, which allows to explicitly compute the Jacobian matrix and apply a traditional Newton-Raphson based algorithm to solve the overall problem. Detailed results obtained on realistic power systems will be presented and discussed in order to evaluate the performances of the proposed method compared to other traditional AA-based methodologies.
机译：可再生能源在现代电力系统中的广泛渗透正在推动开发可靠的计算技术的研究，该技术旨在解决因间歇性功率分布图和相应的功率交易引起的不确定性源不断增加而引起的问题。在这个领域，基于仿射算术的潮流分析被认为是最有前途的研究方向之一，因为它可以通过直接跟踪不确定性的传播（作为计算过程的一部分）来解决许多重要的电力系统运行功能。无论如何，基于AA的计算需要部署特定的软件模块，以实现基于AA的主要数学运算符，这可能会增加解决方案算法的整体复杂性。为了降低基于AA的潮流分析的复杂性，本文提出了不确定潮流方程的新公式，该公式可以显式计算Jacobian矩阵，并应用基于Newton-Raphson的传统算法来解决总体问题。将介绍和讨论在实际电源系统上获得的详细结果，以便与其他传统的基于AA的方法相比，评估所提出方法的性能。

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