Modelling of dual three-phase permanent magnet brushless machine and drive using matrix and tensor approach

The advent of electrically powered actuation system (EPAS) promises improved reliability, controllability and efficiency as well as reduced maintenance in high-power applications that have historically been serviced by hydraulic systems. Dual three-phase permanent magnet brushless machine (DTPPMBLM) is the key subsystem in EPAS. The strong mutual coupling and nonlinearity of DTPPMBLM as well as its drive make it very difficult to obtain a comprehensive mathematical model. This paper proposes a new method to modelling the DTPPMBLM and drive based on the matrix and tensor approach (MTA). The magnetic equivalent circuit (MEC) is used to model the magnetic field of DTPPMBLM. The switching mode of the converter is analysed and modelled theoretically, based on which the DTPPMBLM and drive is coupled with MTA. Then, the MTA and two dimensional finite element analysis (2D-FEA) model are used to simulate the various steady-state and transient performances of the 2 × 1.8 kW DTPPMBLM. Comparison of the simulation results verifies the feasibility of MTA. The results suggest that MTA may be an efficient approach for the DTPPMBLM and drive. The experimental results are reported to show that the modelling scheme has good estimation performance under different operation conditions of the DTPPMBLM.