Generalized analytical modelling of rotor asymmetry faults using winding and connection tensor formalism

Purpose The main objective of this purpose is to provide a general and systematic method for obtaining the inductance matrices of induction machines under rotor asymmetry faults without requiring a full redefinition of the winding model for each case. Design/methodology/approach This paper combines the winding tensor formalism with the use of connection tensors to automatically generate the inductances corresponding to any configuration of broken bars. Findings Firstly, it introduces a unified mathematical framework capable of modelling arbitrary rotor asymmetries using only the inductances of the healthy machine. Secondly, it demonstrates how connection tensors can encode the structural effects of faults in a compact and algebraically tractable manner. Thirdly, it provides a scalable and computationally efficient procedure that avoids the cumbersome derivation of fault-specific inductance expressions, thereby facilitating both numerical simulation and the development of diagnostic tools. Originality/value The methodology presented in this paper offers a significant simplification of the modelling process while preserving the accuracy required for the analysis of fault-induced harmonic phenomena.