Abstract In this article, the dynamic state estimation of the islanded microgrids problem is addressed. The electrical network and energy sources are represented as a set of Nonlinear Differential Algebraic Equations, with the aim to capture the nonlinear phenomena and a novel solution, by using a variation of the Kalman Filter ad hoc for differential algebraic systems, is presented. In this representation, the state is given by the voltage phasors at each bus and the variables related to the energy sources. The proposed algorithm permits not only to effectively obtain an estimate of the state variables but also it allows to recover these variables during the microgrid transient behavior. Moreover, the estimation may be carried out using fewer measurements than those needed by conventional static estimators. The performance of the proposed dynamic state estimator is evaluated via numerical experiments using two practical microgrids containing wind power and hydroelectric generators. This novel method has been tested for load variations and wind speed changes demonstrating its capabilities and efficiency.

中文翻译：

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微电网结构的动态估计

摘要 在本文中，解决了孤岛微电网的动态状态估计问题。电网和能源被表示为一组非线性微分代数方程，目的是捕捉非线性现象，并提出了一种新的解决方案，通过使用针对微分代数系统的特别卡尔曼滤波器的变体，提出了一种新的解决方案。在此表示中，状态由每条总线上的电压相量和与能源相关的变量给出。所提出的算法不仅允许有效地获得状态变量的估计，而且允许在微电网瞬态行为期间恢复这些变量。此外，可以使用比传统静态估计器所需的测量更少的测量来执行估计。所提出的动态估计器的性能通过数值实验使用两个包含风力发电和水力发电机的实用微电网进行评估。这种新颖的方法已经过负载变化和风速变化的测试，证明了它的能力和效率。