Skip to content

DC Machine

Symbol

Description

DC Machine

Separately excited DC machine model with independent armature and field windings. The machine can operate as a motor or generator depending on the signs of torque and speed.

Electrical equations

v_a = R_a i_a + L_a \frac{di_a}{dt} + L_{af} i_f \omega_m
v_f = R_f i_f + L_f \frac{di_f}{dt}

Electromechanical equations

T_e = L_{af} i_f i_a
J \frac{d\omega_m}{dt} = T_e - F \omega_m - T_{load}
\frac{d\theta_m}{dt} = \omega_m

Positive armature current flows from AP to AN. Positive field current flows from FP to FN. Positive electromagnetic torque accelerates positive shaft speed at the R pin.

Library

Electrical > Motors

Parameters

Property Display Name Parameter Type Description
Ra Ra - Armature Resistance [Ohm] DoubleParameter Armature resistance [Ohm]
La La - Armature Inductance [H] DoubleParameter Armature inductance [H]
Rf Rf - Field Resistance [Ohm] DoubleParameter Field resistance [Ohm]
Lf Lf - Field Inductance [H] DoubleParameter Field inductance [H]
Laf Laf - Field-Armature Mutual Inductance [H] DoubleParameter Field-armature mutual inductance [H]
J J - Inertia [kg.m²] DoubleParameter Combined rotor and load inertia [kg.m²]
F F - Friction Coefficient [N.m/(rad/s)] DoubleParameter Viscous friction coefficient [N.m/(rad/s)]
InitialSpeed Initial Rotor Speed [rad/s] DoubleParameter Initial rotor speed [rad/s]
InitialPosition Initial Rotor Position [rad] DoubleParameter Initial rotor position [rad]
InitialArmatureCurrent Initial Armature Current [A] DoubleParameter Initial armature current [A]
InitialFieldCurrent Initial Field Current [A] DoubleParameter Initial field current [A]

Pins

Property Pin Name Type Description
Pin_AP AP Electrical Armature positive terminal (Electrical)
Pin_AN AN Electrical Armature negative terminal (Electrical)
Pin_FP FP Electrical Field positive terminal (Electrical)
Pin_FN FN Electrical Field negative terminal (Electrical)
Pin_R R RotationalMechanical Rotor shaft (Rotational Mechanical)
Pin_Angle Angle ControlOut Rotor mechanical angle in radians (Control)

Default Size

Width Height
8 10