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Thermal issues in the design of permanent magnet based electrical motors

QuickField simulation example

36 poles brushless DC motor with NdFeB permanent magnets.

Problem Type
Plane-parallel problem of DC magnetics and heat transfer.

Geometry
Electric DC motor model

Stator

Name Parameter Value
Stator internal diameter

D

400 mm
Stator tooth zone external diameter

DS

430 mm
Stator external diameter

DE

446 mm
Stator axial length

LE

300 mm

Rotor

Name Parameter Value
Rotor shaft diameter

DH

355 mm
Rotor core diameter

DN

386 mm
Rotor external diameter

DR

398 mm
Rotor axial length

LX

300 mm

Given

DC motor power P = 12 kW
Voltage U = 600 V;
Speed Nn = 200 rpm;
Torque Mn = 573 N·m;
Insulation class: f (155°C);
Steel power loss (50 Hz, 1.6 T) pf = 5 W/kg;
Air temperature T = 40°C.

Task
Which temperature will afford the magnets under the following working conditions:
Cooling: natural / forced
Load: permanent / periodic (50%)

Results
Rotor final temperature.

  Natural convection
Periodic load
Natural convection
Permanent load

Forced convection
Periodic load

Forced convection
Permanent load
Winding 335°C 375°C

142°C

155°C
Magnets 335°C 385°C

125°C

140°C
Hub 342°C 395°C

133°C

147°C

DC motor inductionDC motor temperature

One has to keep in mind the use of forced air circulation as a normal procedure. The controller could offer additional options to pose a limit to currents and/or temperatures.