A modified dijkstra algorithm to analyze the effects of power loop flows caused by embedded hvdc links

Abstract

High Voltage Direct Current (HVDC) technology plays a crucial role in integrating renewable energy and optimizing power flows in modern electrical grids. This study develops an advanced optimization framework to minimize power losses in systems with embedded HVDC links while also addressing the challenges posed by loop flow interactions. First, a novel method for identifying and analyzing loop flow scenarios is proposed, utilizing a modified Dijkstra algorithm to efficiently detect critical loop paths in large-scale meshed networks. This approach simplifies the analysis for system operators, enabling more effective mitigation of undesired power circulations. Building upon these findings, the study further formulates an optimization problem that dynamically adjusts HVDC power injections to minimize transmission losses, particularly during power redistribution events caused by renewable generation fluctuations. The methodology considers system conditions such as load variations and transmission network reconfigurations, ensuring robust performance under different operating scenarios. Simulations on the Brazilian 107-Bus and IEEE 57-Bus test systems validate the framework’s effectiveness, demonstrating significant reductions in power losses and improved grid efficiency. The findings provide system operators with a comprehensive tool for optimizing HVDC operation, mitigating loop flow issues, and enhancing the secure integration of renewable energy into the power system.