Dc Motor with Armature Resistance - Sufficiently High Flux - Engineering Assignment Help

Assignment Task :

Assignment 1 

Students need to score more than 50% (5/10) to pass this assessment item. Questions will be marked using the distribution given which totals to a maximum of 280 and the final total will be scaled down to a mark our of 10. Question 1  

(a) In order for a dc motor to produce a nominal torque of 40 Nm, it has been determined that the rotor’s radial surface area must be 0.4 m2 to obtain sufficiently high flux. Due to some sizing issues related to the usage of the motor, the axial length of the motor should not be more than 0.4 m. The nominal acceleration when the motor is not loaded mechanically must be at least 50 rad/s2. Select the radius and axial length of the rotor to meet these performance criteria. The rotor can be assumed to have a mass density of 7500 kg/m3. 

(b) In many applications, a motor drives a load which consists of two or more rotating bodies interconnected by geared wheels, as in Figure Q1. The gears engage at the point P. The wheels are axially coupled to rotating bodies with inertias J1 and J2, respectively. Suppose that, as shown in the figure, an electrical motor applies a torque ?e on the wheel with radius r1. 

(i) Find the relation between the angular speeds ω1 and ω2 (10 marks) (ii) A DC motor shaft having an inertia of Jm is connected to the gear wheel having an inertia of J1. The motor is to be operated in generating mode by rotating its shaft using a prime mover shaft having an inertia of Jp connected to the gear wheel having an inertia of J2. Derive an expression for the total inertia of the system as “seen” from the applied torque of the prime mover

Question 2  

A dc motor with armature resistance 0.3 Ω is started by direct connection to a 100-V source. After 5.5 s the speed has reached 120 rad/s. The speed then settles to 150 rad/s in the steady state. Determine the total inertia and the motor’s flux linkage.

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