Table 1.
PMSynRel characteristics
| Parameters | Values |
|---|---|
| Maximum speed | 8,000 rpm |
| Maximum torque | 10 N.m |
| Maximum current | 120 A |
| Stator phase resistance | 0.0021 Ω |
| Permanent magnet flux | 5.3 mWb |
| Pole pairs number | 8 |
| Ld | 18 μH |
| Lq | 25 μH |
| Ldq (neglected since ≪ Ld and Lq) | 0.08 μH |

Figure 1.
Experimental test bench.

Figure 2.
Global diagram of the position estimation and current control loops. PLL, phase-locked loop.(BPF: band-pass filter, HPF: high-pass filter, LPF: low-pass filter, PI: proportional and integral controller, PWM: pulse width modulation).

Figure 3.
PLL position and speed observer. PLL, phase-locked loop.

Figure 4.
Experimental protocol for database acquisition.

Figure 5.
HF injection voltage optimisation flowchart. HF, high-frequency.

Figure 6.
Variation of the variance of the estimated position error as a function of Vh and IAbs.

Figure 7.
Variation of the mean error value as a function of Vh and IAbs.

Figure 8.
Variation of the torque distortion rate as a function of Vh and IAbs.

Figure 9.
Variation of the additional DC losses as a function of Vh and IAbs.

Figure 10.
Example of VhOpti calculation at 100 rpm.

Figure 11.
VhOpti calculated with S1 scenario (wq1 = wc1 = 1 and wq2 = wc2 = 0).

Figure 12.
VhOpti calculated with S2 scenario (wq1 = wc1 = wq2 = 1 and = wc2 = 0).

Figure 13.
HF injection voltage amplitude for different scenarios. HF, high-frequency.

Figure 14.
Experimental implementation of VhOpti using LUT. LUT, look-up table.

Figure 15.
Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti, (d) θerr at 100 rpm.

Figure 16.
Experimental studied profile: (a) estimated and measured mechanical speed, (b) idq currents, (c) VhOpti and (d) θerr at 100 A.

Figure 17.
Impact of Vh and IAbs on the variation of variance of varθerr at 100 rpm.

Figure 18.
Impact of Vh and IAbs on the variation of ⟨θerr⟩ at 100 rpm.

Figure 19.
Impact of Vh and IAbs on the variation of ΔTHF (%) at 100 rpm.

Figure 20.
Impact of Vh and N on the variation of varθerr100 A.

Figure 21.
Impact of Vh and N on the variation ⟨θerr⟩ at 100 A.

Figure 22.
Impact of Vh and N on the variation of ΔTHF (%) at 100 A.