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ply to the field. DC motors needed to run ithout any motor being sub

ply to the field. DC motors needed to run ithout any motor being sub

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Parameter Value Unit Remarks Inertia 36 tonne m? Damping 20 N-m.s Train mechanisms only Load Torque 117.720 kN-m A train has the effective total properties in the preceding table. It is desired to be able to completely stop the train from full speed in 15 seconds, while maintaining rated supply to the field. 1. Find the number of DC motors needed to run and decelerate the train without any motor being subjected to more than its rated capabilities. Assume uniform load distribution; identical machine models, terminal voltages, and controls. 2. Derive an expression for the armature current la(t) in each machine. 3. Derive an expression for the instantaneous terminal voltage Va(t) required for the controllers. 4. Due to practical limitations, it is often necessary to stop regenerative braking once one of the following occurs: zero-speed, zero Va(t), or zero la(t). Determine the angular speed (in rpm) at which this occurs.
Transcribed Image Text:Parameter Value Unit Remarks Inertia 36 tonne m? Damping 20 N-m.s Train mechanisms only Load Torque 117.720 kN-m A train has the effective total properties in the preceding table. It is desired to be able to completely stop the train from full speed in 15 seconds, while maintaining rated supply to the field. 1. Find the number of DC motors needed to run and decelerate the train without any motor being subjected to more than its rated capabilities. Assume uniform load distribution; identical machine models, terminal voltages, and controls. 2. Derive an expression for the armature current la(t) in each machine. 3. Derive an expression for the instantaneous terminal voltage Va(t) required for the controllers. 4. Due to practical limitations, it is often necessary to stop regenerative braking once one of the following occurs: zero-speed, zero Va(t), or zero la(t). Determine the angular speed (in rpm) at which this occurs.
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