Harnessing the Concept of Infinity in Power Systems Analysis: From Abstraction to Practicality

In the field of power systems, the concept of infinity plays a crucial theoretical role, enabling the depiction of extreme limits as quantities approach very large values. This theoretical model simplifies complex issues and encourages innovative problem-solving strategies for engineers. This article delves into the diverse role of infinity as a theoretical construct within power systems, illustrating how this abstraction aligns with the practical application of engineering principles. The discussion covers topics, such as ground potential and infinite bus as reference points, the importance of infinity in power line analysis, the practical effects of short-circuits and open-circuits in power systems, and the continuity of state variables. By connecting theoretical and practical aspects, this article enhances the understanding of how infinity is utilized as a tool in electrical engineering, highlighting its importance in simplifying complex problems and advancing the design and analysis of power systems.