Assume that the load is star connected with the neutral disconnected. Each phase

Question

Assume that the load is star connected with the neutral disconnected. Each phase has a series RL load with R = 5 ohms and L = 20 mH.

Plot the neutral voltage

Plot the phase to neutral voltage for phase a.

Calculate and plot the Phase a current Ia using Fourier techniques.

Explanation / Answer

THIS WILL HELP YOU The Induction Motor block represents the electrical and torque characteristics of an induction motor powered by an ideal AC supply. The following figure shows the equivalent circuit model of the Induction Motor block. In the figure: R1 is the stator resistance. R2 is the rotor resistance with respect to the stator. L1 is the stator inductance. L2 is the rotor inductance with respect to the stator. Lm is magnetizing inductance. s is the rotor slip. and are the sinusoidal supply voltage and current phasors. Rotor slip s is defined in terms of the mechanical rotational speed , the number of pole pairs p, and the electrical supply frequency ? by This means that the slip is one when starting, and zero when running synchronously with the supply frequency. For an n-phase induction motor the torque-speed relationship is given by: where: Vrms is the line-neutral supply voltage for a star-configuration induction motor, and the line-to-line voltage for a delta-configuration induction motor. n is the number of phases. You can parameterize this block in terms of the preceding equivalent circuit model parameters or in terms of the motor ratings the block uses to derive these parameters. This block produces a positive torque acting from the mechanical C to R ports. Thermal Ports The block has two optional thermal ports, one per winding, hidden by default. To expose the thermal ports, right-click on the block in your model, then from the context menu select Simscape block choices > Show thermal port. This action displays the thermal ports on the block icon, and adds the Temperature Dependence and Thermal port tabs to the block dialog box. These tabs are described further on this reference page. Use the thermal ports to simulate the effects of copper resistance losses that convert electrical power to heat. For more information on using thermal ports in actuator blocks, see Simulating Thermal Effects in Rotational and Translational Actuators.

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