Authors: N. Karthikeyan, V. Jayanthi
Abstract: Duality is a fundamental and elegant principle in electrical network theory that establishes a one-to-one correspondence between two different electrical networks exhibiting analogous behavior. By applying duality principles, engineers can derive the solution of a complex network from its dual counterpart with minimal additional effort. This concept not only simplifies analysis but also plays a significant role in network design and synthesis. Duality provides deep insight into the relationship between electrical quantities such as voltage and current, impedance and admittance, and series and parallel connections. This paper presents a comprehensive discussion on the duality principles in electrical network design. Theoretical foundations, conditions for duality, element transformations, and mathematical interpretations are explored in detail. Practical applications in network synthesis, filter design, and power system modeling are highlighted. Tables and two-dimensional figures are included to clarify transformations and design approaches. The paper emphasizes the enduring importance of duality in both classical and modern electrical engineering practice.
Keywords: Duality principle, electrical networks, network design, impedance admittance duality, circuit transformation, network synthesis
Full Issue
| View or download the full issue | PDF 27-32 |