Avaliação da representação de dispositivos de controle através da formulação line-wise do problema de fluxo de potência

Abstract

Modern society is highly dependent on electrical energy and, with the continuous expansion of electric power systems, the increasing penetration of distributed generation sources and the growing use of intermittent energy sources significantly raise the complexity of these systems. In this context, power flow analysis stands out as the main tool for the analysis, operation, and planning of electric power systems; however, despite its wide applicability and efficiency, its traditional formulation is based on methods developed in the mid-twentieth century, which motivates the search for more computationally efficient approaches, especially for large-scale systems. Within this scenario, the formulation known as the Line-Wise Power Flow (LWPF) emerges, whose main advantage lies in the reduction of computational effort, although it is still sparsely explored in the literature, particularly With respect to the inclusion of control strategies essential for the proper representation of real power systems. Therefore, this work aims to validate and integrate different types of control into the LWPF methodology, including voltage control through on-load tap-changing transformers (LTC), remote voltage control, active power flow control in transmission lines via Controlled Series Compensation (CSC), as well as the treatment of reactive power limits. The controls in question were implemented, and the obtained results were compared with those provided by the ANAREDE software, as it is a well-established tool in the analysis of electric power systems. The results demonstrate that the LWPF methodology, even with the inclusion of the analyzed controls, presents high compatibility with the conventional power flow method, providing numerically equivalent solutions in terms of voltages, angles, and power flows, while maintaining high sparsity in its Jacobian matrix, which highlights its potential for applications in large-scale power systems.