A Vector-Rotator-Used Discrete-Time Realization of the Inverse D-Matrix

Abstract

D-systems, which inherently possess the ability to separate positive and negative phase components, are used in many applications such as flux estimation, back EMF estimation, current control, and harmonic disturbance suppression. D-systems are realized using inverse D-matrices. To implement a D-system in a discrete-time manner, discrete-time realization of the inverse D-matrix is essential. This paper proposes a new discrete-time realization of the inverse D-matrix, which is the most compact and has inherently characteristic root invariance between continuous-time and discrete-time realizations.