Industrial plant consists of 4-motors and transformer. Two induction motors and two synchronous motors are installed with the following data:
The slip range of induction motors is between: s = 0.03-0.05
The induction motor at rated load power factor is between PF = 0.75-0.85 lagging. The induction motor rated sizes are available of 100, 150, 200, & 250 hp.
The efficiency of the induction motors is between 80%-90%
The synchronous motor rated sizes are available of 100, 150, 200, &250 kW.
The synchronous motor at rated load power factor is between PF = 0.80 lagging-0.80 leading. The efficiency of the synchronous motors is between 85%-92%
The motor poles are available of 2 or 4. The voltage source is VLL = 480V, 60Hz.
The total load torque of the plant is 2900 N.m.
The total power factor, PF, at the secondary side of the transformer is 1 ≥ PF ≥ 0.95 lagging.
1. Design the motor specification such as size, pole numbers, slip, efficiency, and PF based on the data available above. (note: Motors from each type cannot be the same rating)
2. Select proper transformer which can handle the total load taking to consideration 70% of load factor plus losses.
3. Show all your calculations in detail (power in all forms, currents, speeds, voltages, etc)
