Electrical machines · Year 2 / 3

Motor laboratory

Explore electrical-to-mechanical energy conversion through a coupled DC motor model, for engineering students.

SHAFT SPEED

921 rpm

Calculated at 2 s

ELECTROMAGNETIC TORQUE

118 mN·m

Calculated at 2 s

ARMATURE CURRENT

1.18 A

Calculated at 2 s

ELECTRICAL INPUT

14.1 W

Calculated at 2 s

Motor configuration

Machine model

Supply voltageVArmature resistanceΩArmature inductanceHBack EMF / torque constantV·s/rad = N·m/ARotor inertiakg·m²Viscous frictionN·m·s/radSigned constant load torqueN·mSimulation duration (s)

Saved settings are shared across the lab, not private per-user records.

DC motor · calculated rotational response

RK4 · Δt = 1 ms

Counterclockwise (positive ω)

Transient response

Rotor speedrpm

Armature currentA

Equations & energy balance

V = RI + L(dI/dt) + Keω

T = KtI

J(dω/dt) = T − Tload − Bω

E = ½LI² + ½Jω²

I: armature current (A); ω: shaft speed (rad/s); Ke: back EMF constant; Kt: torque constant. In coherent SI units this ideal lossless coupling requires Ke = Kt.

Electrical energy: 47.3 J

Stored energy: 9.32 J · Load work: 3.22 J

Numerical energy residual: -599 µJ

Permanent-magnet, linear magnetic model; constant signed load and viscous friction. No saturation, brushes, static friction, winding temperature, or protection model. A signed load may back-drive at startup. Rotation animation uses calculated final speed and may visually alias at high speed.