Answer Happy

Please solve by Matlab
Q1-a) A 380-V 50 Hz. four-pole. Y-connected induction motor is used to drive a centrifugal pump 13 kW. The torque-speed characteristic of the pump as the following Tpump = 50+ 0.0016 * wm , where the torque in N.m and speed in rad/s . 3ph induction motor The motor has the following impedances in ohms per phase referred to the stator circuit: R1 = 0.641.12 R2 = 0.33222 X1 = 1.106.12 X2 = 0.46412 XM = 26.312 The core loss is 1000 W and the friction and winding loss is 500 W. if the pump rotates at speed 1440 rpm at rated voltage and frequency. Find the following: a) The slip at this speed b) Pcony and Pout of the motor c) Tind and Tload d) Efficiency of the motor e) Draw the torque-speed curve of motor showing the values of (starting torque, pull up torque and the load torque) f) Draw the torque-speed curve of the pump at the same graph. g) Find the starting current of the motor at rated voltage and frequency. Q1-b) If the starting current is limited to 83.5 A by changing the input voltage a) What is the input voltage that limited the current to this value b) Draw the torque-speed curve of motor showing the values of (starting torque, pull up torque and the load torque) and the torque-speed curve of the pump at the same graph at this voltage value c) Can the motor drive the pump at this condition (show the explanation) d) If the motor can't drive the pump what will be the minimum voltage that can applied to motor to drive the pump and Draw the torque-speed curve of motor showing the values of (starting torque, pull up torque and the load torque) and the torque-speed curve of the pump at the same graph. At this voltage value Note : you can make one draw to show all the curves