In the given system with the following parameters: Power distribution system: Vrms=480 V, f= 60 Hz...

 

Transcribed Image Text:

In the given system with the following parameters: Power distribution system: Vrms=480 V, f= 60 Hz Motor: PFM-0.7 lagging Assume that the motor can be modeled as a series impedance Rm and Xm. If Rm is 1 ohm: a) Calculate the complex and reactive power consumed by the motor. (5 points) b) Determine the active and reactive power loss. (5 points) c) Calculate the active and reactive power delivered by the source. (5 points) d) Draw the power triangle diagram from the grid's perspective. (5 points) e) Assuming we can install a capacitor in parallel with the motor to achieve a unity power factor, determine the required capacitor value. (10 points) + X=j1 m Power distribution line R=122 Power distribution system (i.e., voltage source) Motor In the given system with the following parameters: Power distribution system: Vrms=480 V, f= 60 Hz Motor: PFM-0.7 lagging Assume that the motor can be modeled as a series impedance Rm and Xm. If Rm is 1 ohm: a) Calculate the complex and reactive power consumed by the motor. (5 points) b) Determine the active and reactive power loss. (5 points) c) Calculate the active and reactive power delivered by the source. (5 points) d) Draw the power triangle diagram from the grid's perspective. (5 points) e) Assuming we can install a capacitor in parallel with the motor to achieve a unity power factor, determine the required capacitor value. (10 points) + X=j1 m Power distribution line R=122 Power distribution system (i.e., voltage source) Motor