Reactive Power Optimization in Power Systems Using Interior Point Method

In this graduate thesis, we comprehensively discuss the application of interior point method for reactive power optimization in power systems. The implementation was developed without relying on existing toolboxes, instead utilizing deep methodological research and experimental validation to achieve results. We provide detailed explanations of the fundamental principles, workflow, and implementation steps of the interior point method, including key algorithmic components such as the logarithmic barrier function implementation, Newton's method iterations, and complementary slackness conditions. The implementation incorporates critical functions for handling power flow equations, voltage constraints, and reactive power limitations. Additionally, we analyze the method's advantages and disadvantages, proposing several enhancement strategies including improved step-size control mechanisms and modified convergence criteria. Through studying this paper, readers will gain deeper understanding of the interior point method and its practical application to power system reactive power optimization problems, enabling better implementation in real-world scenarios.