Dashboard Deep Learning Electrical Machines Special machines Synchronous reluctance motor (SynRM)

Synchronous reluctance motor (SynRM)

Salient steel rotor + sinusoidal 3-φ supply. Pure reluctance torque T = (3/2)(P/2)(L_d − L_q)·i_d·i_q. NO magnets, NO windings on rotor. FOC same as PMSM. Modern rare-earth-free PMSM alternative (ABB, Siemens, Bosch).

Junior ~11 min

Step 1 — Synchronous reluctance motor: salient rotor + sinusoidal 3-φ

0.55×
δ T_rel saliency

Reference notes

The synchronous reluctance motor (SynRM) has a salient steel rotor driven by sinusoidal 3-φ supply — no windings, no magnets, no cage. Torque comes purely from reluctance. Use Next → to walk through construction, the dq-frame torque equation, comparison with PMSM / induction / SRM, FOC control, and the rare-earth-free comeback narrative in 2020s industrial drives.

What it is

T = (V2/2) · (1/X_q − 1/X_d) · sin(2δ)
Tdq = (3/2)(P/2)(L_d − L_q) · i_d · i_q

Max torque at δ = 45 electrical degrees; rotor pulls out beyond this.

Rotor construction

Comparison with neighbors

MotorRotorMagnetsηPF
Induction (squirrel cage)CageNo85–92 %0.85–0.90
PMSM (IPM)Buried NdFeBYES (rare-earth)92–96 %0.90–0.95
SynRMSalient steel with flux barriersNo90–95 %0.60–0.80
SRMSalient steelNo85–92 %n/a (switched DC)

Control: same FOC architecture as PMSM

Power factor — the SynRM trade-off

SynRM PF is fundamentally limited by saliency:

PFmax ≈ (L_d − L_q) / (L_d + L_q)

For typical saliency L_d/L_q = 5: PF_max ≈ 0.67. For 8: PF_max ≈ 0.78. Below PMSM's 0.95. Practical operation: 0.6–0.8 PF. Implication: inverter sized ~20–30 % larger than PMSM for same shaft power. PM-assisted SynRM (ferrite magnets in flux barriers) raises PF without rare-earth cost.

Modern industrial adoption

Market share of SynRM in new industrial drives grew from < 1 % (2015) to 5–8 % (2024), driven primarily by rare-earth supply-chain concerns and IE5 efficiency targets. Forecasts project continued growth into 2030.

Decision matrix

Take-away. SynRM = salient steel rotor with flux barriers, sinusoidal 3-φ supply, NO magnets / windings / cage. T_dq = (3/2)(P/2)(L_d − L_q)·i_d·i_q — pure reluctance term. Same FOC drive as PMSM but i_d ≠ 0 always; MTPA at 45° electrical angle. Trade-off vs PMSM: no rare-earth (cost + supply-chain win) but lower PF (0.6-0.8) needing larger inverter. Modern industrial offerings from ABB / Siemens / Bosch growing as rare-earth-free PMSM alternatives.