Question

Question 1) A \(380 \mathrm{~V} 60 \mathrm{~Hz}\) two-pole three-phase asynchronous motor has a reverse power factor of 0.80. Stator resistance \(0,200 \Omega\) rotor resistance \(0,120 \Omega\) iron reactance resistance \(150 \Omega\) friction and

wind losses \(450 \mathrm{~W}\), iron losses \(1500 \mathrm{~W}\) and stator copper power loss \(1215 \mathrm{~W}\). If the slip is \(5 \%,\) calculate the efficiency of the motor and the shaft moment.

Question 2) Three synchronous generators feed 150 of the motors given in the first question. The idle operating frequency of the first generator is \(61 \mathrm{~Hz}\) and the slope of the frequency / active power characteristic is \(1.25 \mathrm{MW} / \mathrm{Hz} .\) The slope of the frequency \(/\) active power characteristic of the second generator is \(1 \mathrm{MW} / \mathrm{Hz}\) and the slope of the frequency / active power characteristic of the third generator is \(1 \mathrm{MW} / \mathrm{Hz} .\) Draw the house diagram of this situation by calculating the power and

frequency given to the system by each generator. (Note 2 nd and 3 rd Generators provide the same power to the load.)

Answer 1