Question 13: Below is an electromechanical speed-control system. The dc motor voltage v₂ is supplied by a generator driven by an engine. This is useful especially for diesel locomotives to operate at an efficient speed. The efficiency of the electric motor is not as sensitive to speed and thus can be used to drive the locomotive at various speeds. The motor voltage v₂ is varied by changing the generator input voltage v₁. The voltage v₂ is related to the generator field current lf by va = KfIf. a. Derive the system model relating the output speed co to the voltage v₁. of Generator www Rf Va Ra Motor vor La vb OD T H

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Question 13: Below is an electromechanical speed-control system. The dc motor voltage va is
Va
supplied by a generator driven by an engine. This is useful especially for diesel locomotives to
operate at an efficient speed. The efficiency of the electric motor is not as sensitive to speed and
thus can be used to drive the locomotive at various speeds. The motor voltage v₂ is varied by
changing the generator input voltage v₁. The voltage v₁ is related to the generator field current f
by V₁ = KfIf.
a. Derive the system model relating the output speed o to the voltage vf.
+
of
Generator
Val
h Create a Simecane mos
www
Ra
Motor
ia
voo
La
+
Figure 6: Speed-Control System
ub
JD
of the motor (digrogard the gonorator for this portion) Attach
Transcribed Image Text:Question 13: Below is an electromechanical speed-control system. The dc motor voltage va is Va supplied by a generator driven by an engine. This is useful especially for diesel locomotives to operate at an efficient speed. The efficiency of the electric motor is not as sensitive to speed and thus can be used to drive the locomotive at various speeds. The motor voltage v₂ is varied by changing the generator input voltage v₁. The voltage v₁ is related to the generator field current f by V₁ = KfIf. a. Derive the system model relating the output speed o to the voltage vf. + of Generator Val h Create a Simecane mos www Ra Motor ia voo La + Figure 6: Speed-Control System ub JD of the motor (digrogard the gonorator for this portion) Attach
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