Modelling and vector control of dual three‐phase PMSM with one‐phase open

Abstract

This study proposes a generic mathematical modelling and decoupling fault-tolerant vector control for dual three-phase permanent magnet synchronous machine (PMSM) with one phase open based on the conventional dual three-phase voltage source inverters, accounting for the mutual coupling between two sets of three-phase windings and the second harmonic inductance. When the dual three-phase PMSM has one phase open, the permanent flux-linkages are asymmetric and there are second harmonic components in the conventional synchronous reference frame (dq-frame). Based on the proposed mathematical modelling, both permanent magnet flux-linkages and currents become DC values in the dq-frame, and therefore, the conventional proportional integral (PI) controller can be used to regulate the dq-axis currents. Then, a decoupling fault-tolerant vector control with/ without a dedicated feed-forward compensation is proposed to validate the correctness of the proposed mathematical modelling. Experimental results on a prototype dual threephase PMSM with one phase open show that the second harmonic dq-axis currents can be well suppressed simply by the conventional PI controller and dedicated feed-forward compensation. It also shows that the decoupling fault-tolerant control based on the proposed modelling and control method has excellent dynamic performance, which is equivalent to the vector space decomposition control for the healthy machine. This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

A Comprehensive Survey on Fault Tolerance in Multiphase AC Drives, Part 2: Phase and Switch Open-Circuit Faults

“…3.4.1.3. Current d 1 -q 1 PI Control Using Reduced-Order VSD Various publications have proposed using d 1 -q 1 PI current control in combination with postfault reduced-order VSD [98,[102][103][104][105][106][107][108][109][110][111][112][113][115][116][117][118][119][120][121][122][123][124]221], instead of full-order or multiple l-phase VSD transforms. Most of these works are focused on five-phase machines, as shown in Table 7.…”

“…For a nine-phase IM, Souza et al [102] only apply PI regulation in the main plane, assuming that the disturbances in the other subspaces are canceled by voltage FF, as in [89] with complete VSD (see Section 3.4.1.1). In any case, even though most of these schemes include closed-loop control for all current DOFs, suitable voltage FF for coupling/disturbance compensation is often added nonetheless, depending on the faulty phases for improved performance [108][109][110]113,[115][116][117]221]. Similarly, in some of these methods, the PWM is also adapted to the fault situation [108,123,221].…”

Advances in Dual-Three-Phase Permanent Magnet Synchronous Machines and Control Techniques

“…It is also possible to use modelling with open-circuit faults to achieve different control purposes. In particular, the VSD technique can decouple motor variables in several orthogonal subspaces, thereby controlling them independently [164,[181][182][183][184][185]. Because the VSD technique can decompose the negative-sequence current in the z subspace, the control structure in [185] is greatly simplified, as shown in Figure 37.…”

“…In particular, the VSD technique can decouple motor variables in several orthogonal subspaces, thereby controlling them independently [164,[181][182][183][184][185]. Because the VSD technique can decompose the negative-sequence current in the z subspace, the control structure in [185] is greatly simplified, as shown in Figure 37. The values i q *, i d *, i z *, v q *, v d *, v z1 *, v z2 *, v z3 *, v α2 *, v β2 *, v α *, v β *, v abc *, v x *, and v y * are the reference values for the voltage and currents in different coordinate systems, respectively.…”

“…In particular, the VSD technique can decouple motor variables in several orthogonal subspaces, thereby controlling them independently [164,181−185]. Because the VSD technique can decompose the negative-sequence current in the z subspace, the control structure in [185] is greatly simplified, as shown in Figure 37. The values iq * , id * , iz * , vq * , vd To eliminate the negative-sequence current, a PIR regulator is employed and the fundamental electrical frequency is utilized as the resonant frequency.…”