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首页> 外文期刊>Smart Grid, IEEE Transactions on >Efficient Computation of Sensitivity Coefficients of Node Voltages and Line Currents in Unbalanced Radial Electrical Distribution Networks
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Efficient Computation of Sensitivity Coefficients of Node Voltages and Line Currents in Unbalanced Radial Electrical Distribution Networks

机译：不平衡径向配电网中节点电压和线电流的灵敏度系数的有效计算

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摘要

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution systems are, indeed, experiencing significant changes in terms of operation philosophies that are often based on optimal control strategies relying on the computation of linearized dependencies between controlled (e.g., voltages, frequency in case of islanding operation) and control variables (e.g., power injections, transformers tap positions). As the implementation of these strategies in real-time controllers imposes stringent time constraints, the derivation of analytical dependency between controlled and control variables becomes a non-trivial task to be solved. With reference to optimal voltage and power flow controls, this paper aims at providing an analytical derivation of node voltages and line currents as a function of the nodal power injections and transformers tap-changers positions. Compared to other approaches presented in the literature, the one proposed here is based on the use of the $[{bf Y}]$ compound matrix of a generic multi-phase radial unbalanced network. In order to estimate the computational benefits of the proposed approach, the relevant improvements are also quantified versus traditional methods. The validation of the proposed method is carried out by using both IEEE 13 and 34 nodes test feeders. The paper finally shows the use of the proposed method for the problem of optimal voltage control applied to the IEEE 34 node test feeder.
机译：由于配电能源在电气基础设施的这一特定层中的逐渐渗透，配电系统的最佳控制问题变得越来越引人注目。的确，配电系统的操作理念正在发生重大变化，这些变化通常基于最佳控制策略，而最佳控制策略则取决于受控变量（例如，孤岛运行情况下的电压，频率）与控制变量（例如功率）之间线性相关性的计算注入，变压器分接位置）。由于这些策略在实时控制器中的实施施加了严格的时间限制，因此推导受控变量与控制变量之间的分析依存关系成为一项不容忽视的任务。参照最佳电压和功率流控制，本文旨在提供节点电压和线电流作为节点功率注入和变压器分接开关位置的函数的分析推导。与文献中介绍的其他方法相比，此处提出的一种方法是基于 $ [{bf Y}] $ 的使用公式>通用多相径向不平衡网络的复合矩阵。为了估计所提出方法的计算优势，相对于传统方法，还对相关改进进行了量化。通过同时使用IEEE 13和34节点测试馈送器来验证所提出方法的有效性。最终，本文说明了所提出的方法在针对IEEE 34节点测试馈线的最佳电压控制问题上的使用。

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