**Category: **Motors

The AC Induction Motor (DQ) block is derived from the system of nonlinear differential equations describing electromechanical motion of a 3-phase AC induction motor written in the arbitrary reference frame and reduced to the stationary frame by setting the frame angular velocity equal to 0. Input requires direct-quadrature (DQ) voltages and a load reaction torque vector if external mechanical load is used.

Mechanical dynamics include typical parameters, such as rotor shaft inertia and viscous friction. In addition, nonlinear dissipative factors, including Coulomb friction and stiction models are provided. The block can operate stand-alone to produce output displacement or velocity of the motor alone, or when a Rotation Load block is connected, combined dynamic response. When connected to the Rotation Load block, dynamic parameters are reflected back and combined with the motor dynamics by the linkage ratio. The linkage ratio is specified in the Rotation Load block. This creates proper dynamic motion of the combined motor-load connection. To connect the AC Induction Motor (DQ) block to the Rotation Load block, the motor displacement and load reaction vector connections from each block must be wired together.

Rotor shaft position, velocity and stator DQ phase currents are provided for sensor connections in monitoring and feedback applications.

**Number of Motor Poles:** Requires the number of motor
pole pairs.

**Stator Resistance (per phase):** Requires the stator
per phase coil resistance in ohms.

**Stator Inductance (per phase):** Requires the stator
per phase coil inductance in henries.

**Stator Leakage Inductance:** Requires the specified
stator leakage inductance in henries.

**Rotor Resistance:** Requires the rotor winding
resistance in ohms.

**Rotor Leakage Inductance:** Requires the specified
rotor leakage inductance in henries.

**Rotor Moment of Inertia:** Requires the moment of
inertia of the rotor with respect to the axis of rotation in
kg-m^{2}.

**Rotor Shaft Coulomb Friction Magnitude**: Allows
specification of constant directional dissipative force (Coulomb model) in units
of N-m.

**Rotor Shaft Stiction Factor:** Allows specification of
a stiction force value or break-away torque. This parameter is normally not
specified by the motor manufacturer, but can be obtained experimentally. Units
are in N-m.

**Rotor Shaft Viscous Damping Factor**: Requires the
factor that linearly relates viscous damping force to angular velocity. This
parameter is normally not specified by the motor manufacturer, but can be
determined experimentally. Units are kg-m^{2}/s.

**Diagram name:
**ACIM DQ Model

**Location: **Examples > eMotor > AC Induction** **

A DQ frame voltage source is created using a 3-phase source, and Clarke and Park’s transforms (see example under Park Transform). Rotor displacement is connected to the Rotational Load block. Reaction torques are fed back to the motor model. DQ transient currents are observed by plotting signals from the output wires provided on the motor model.