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### Question

To investigate the behavior of a permanent magnet motor from the viewpoint of system dynamics and to identify relevant model parameters.

Class lectures and system dynamics text book

Maxon DC permanent magnet motor; Motor power supply; Torque Sensor: Prony brake apparatus (with beam structure, strain gage amplifier, weights, etc.);

Data acquisition system.

Motor ID. Here we aim to estimate motor constants, circuit resistance, and inertia, from torquespeed curves (virtual model: DC_motor_p.slx). The following variables are measured: motor torque (T) and speed (). Derive toque-speed (rpm) curves at fixed armature voltages (Va) of 2V, 4V, and 6V, by varying the load torque (Tl). Measure 6-8 data points along each curve and avoid stalling the motor. Estimate Km, Kt, Rm, Ra from the curves and power balance relation. Iterate bm values to fine tune steady-state speed to match measured response with your simplified model (DC_motor_p_simple.slx).

Transfer Function ID. Here we aim to identify a first-order model (steady-state gain and time constant) from step-input transient response data. Circuit inductance can be neglected. In addition, using the parameter estimates above, estimate viscous friction constant. Run step responses at armature voltages of 2, 4, and 6 volts, with no additional load (Tl=0).

Memo Details

A single page containing an abstract and conclusions section. A typed, HW-style format containing results fully supported by details derivations and discussions covering the assumed electromechanical system model, estimated parameters, and transfer function parameters. Draw ideal vs. measured power curve and identify values at max power (for each Va). Draw efficiency vs. speed (rpm) curve.

### MIE402 Mechanical Vibration

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### EER4165 Advanced Topics in Machine Intelligence

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