mathlab required engineering question

A light electric vehicle is driven by a DC motor of the following data: Pn = 5 hp, Vn = 240 V, nn = 1200 rpm, and it develops the rated torque (Tr) Tn = 30 N·m. The electromechanical parameters of the drive system are as follows: Ra = 0.5 Ω, La = 0.025 H, K= KT = Ke = 1.9 V/ (rad/s), J = 0.5 kg·m2, B = 20-5 N/(rad/s).

The part of the road consists of hill the vehicle is running through.

1. Simulate the operation of the motor that drives the vehicle:

a) up the hill. Assume the motor to be loaded by the load torque of 0.6Tn.

b) down the hill with the load torque TL = -0.3Tn.

The motor is supplied from the battery through the 2 quadrant DC/DC converter. Assume the battery voltage of 240 V and supply voltage (converter output voltage) equal to 180 V. Assume the initial speed equal to 80 rad/s and zero initial current.

2. Simulate the operation of the motor when, without changing the gear, the vehicle moves backwards, being supplied (from the 240 V battery through the 4 quadrant DC/DC converter) with the negative voltage of -100 V. When it moves:

a) down the hill the motor is loaded with the torque of 1.2Tn,

b) up the hill the load torque is equal to –1.2Tn.

During the simulation assume the motor initial speed equal to 0.

Record the motor speed and motor current waveforms and show the block diagrams. Choose the simulation time equal to the period when the motor reaches the steady-state.

Write down the readings of the current and the speed in steady-state in the Table for all cases and write the quadrant and operation mode.

Table. Readings in steady state and comments

Attention:

· Use the block diagrams of the motor and two DC/DC converters (2-quadrant and 4-quadrant) posted on the Blackboard. Combine the motor block diagram with the one of the converters and by using the subsystem command obtain the compacted diagram as shown in the figure below.

· You can simulate the vehicle moving up and down the hill simultaneously by assigning 2 different values of the load torque in the step function block.

Final block diagram of the vehicle drive.

Motor block diagram

2-quadrant DC/DC converter block diagram

4-quadrant DC/DC converter block diagram

Question 1.