Convergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-linear Magnetic Equivalent Circuit Analysis

Boomiraja, BalaganeshBalaganeshBoomirajaKanagaraj, RagavanRagavanKanagaraj2025-08-312025-08-312020-01-01[9781728142517]10.1109/PESGRE45664.2020.90706822-s2.0-85084362264https://d8.irins.org/handle/IITG2025/24278In this paper, the non-linear magnetic system equations are derived. The Newton-Raphson method is used to solve the system of non-linear equations. A simplified Jacobian is derived for both node- and loop-based magnetic equivalent circuit analysis. The partial derivative term is eliminated in this simplified Jacobian using differential relative permeability. The convergence behaviour of the Newton-Raphson method is studied. The loop analysis exhibits more stable convergence than that of the node analysis while solving non-linear magnetic equivalent circuit using the Newton-Raphson method.falseDifferential relative permeability | Jacobian | Loop | Magnetic equivalent circuit | Newton-Raphson method | Node | Non-linearConvergence Behaviour of Newton-Raphson Method in Node- and Loop-Based Non-linear Magnetic Equivalent Circuit AnalysisConference PaperJanuary 2020109070682cpConference Proceeding8