Abstract

In this paper, the control problem of microgrids (MGs)operating in islanded mode is approached from a passivity-based control perspective. A control scheme is proposed that, relying only on local measurements for the power converters included in the network representation, achieves both voltage regulation and power balance in the network through the generation of grid-forming and grid-following nodes. From the mathematical perspective, the importance of the contribution lies in the feature that, exploiting a port-controlled Hamiltonian representation of the MG, the closed-loop system’s stability properties are formally proved using arguments from the theory of non-linear dynamical systems. Fundamental for this achievement is the decomposition of the system into subsystems that require a control law and another whose variables can evolve in a free way. From the practical viewpoint, the advantage of the proposed controller lies in the feature that the power demanded by the loads is satisfied without neither computing its specific value nor solving the non-linear algebraic equations given by the power flow, avoiding the computational burden associated with this task. The usefulness of the scheme is illustrated via a numerical simulation that includes practical considerations.

中文翻译：

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基于无源功率的未知功率负载的孤岛微电网控制

摘要

本文从基于被动性的控制角度出发，探讨了孤岛模式下微电网的控制问题。提出了一种控制方案，该方案仅依靠网络表示中包含的功率转换器的本地测量，通过生成网格形成节点和网格跟随节点来实现网络中的电压调节和功率平衡。从数学角度来看，贡献的重要性在于以下特征：利用MG的端口控制哈密顿表示，使用非线性动力学系统理论的论据正式证明了闭环系统的稳定性。实现此目标的基础是将系统分解为子系统，这些子系统需要控制律，而另一个控制律可以自由发展。从实践的角度来看，所提出的控制器的优点在于，既无需计算其比值，也无需求解潮流所给定的非线性代数方程，就可以满足负载所要求的功率，从而避免了计算负担。这个任务。通过包括实际考虑在内的数值模拟说明了该方案的有用性。避免与此任务相关的计算负担。通过包括实际考虑在内的数值模拟说明了该方案的有用性。避免与此任务相关的计算负担。通过包括实际考虑在内的数值模拟说明了该方案的有用性。