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A dc shut generator has full load voltage regulation of 10% at rated speed of 1000 rpm. If it is now driven at 1250 rpm, then its voltage regulation at full load is
- a)10 %
- b)Greater than 10%
- c)Less than 10%
- d)12.5%
Correct answer is option 'C'. Can you explain this answer?
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Explanation:
Voltage regulation is defined as the change in voltage from no-load to full-load expressed as a percentage of full-load voltage. It is given by the following formula:
% Voltage regulation = (VNL - VFL) / VFL x 100%
where VNL is the voltage at no-load and VFL is the voltage at full-load.
Given that the generator has full load voltage regulation of 10% at rated speed of 1000 rpm. This means that when the generator is running at 1000 rpm, the voltage drops by 10% from no-load to full-load.
Now, the generator is driven at 1250 rpm. Let's assume that the generator has a constant field current, which means that the magnetic flux in the machine remains constant. This assumption is valid because we are only changing the speed of the generator and not the field current.
At 1250 rpm, the armature of the generator rotates faster, which means that the rate of change of flux also increases. This leads to an increase in the induced voltage in the armature. As a result, the voltage at no-load increases.
However, the full-load voltage also increases due to increased armature reaction. Armature reaction is the effect of armature current on the magnetic field produced by the field winding. When the load current flows through the armature, it produces a magnetic field that opposes the main field produced by the field winding. This effect reduces the effective magnetic field in the machine, leading to a decrease in the induced voltage.
Since the armature reaction is proportional to the load current, it increases with load. Therefore, at higher speeds, the armature reaction also increases, leading to a larger drop in voltage from no-load to full-load. This means that the voltage regulation at full-load will be less than 10%.
Hence, the correct answer is option C, i.e., less than 10%.
Voltage regulation is defined as the change in voltage from no-load to full-load expressed as a percentage of full-load voltage. It is given by the following formula:
% Voltage regulation = (VNL - VFL) / VFL x 100%
where VNL is the voltage at no-load and VFL is the voltage at full-load.
Given that the generator has full load voltage regulation of 10% at rated speed of 1000 rpm. This means that when the generator is running at 1000 rpm, the voltage drops by 10% from no-load to full-load.
Now, the generator is driven at 1250 rpm. Let's assume that the generator has a constant field current, which means that the magnetic flux in the machine remains constant. This assumption is valid because we are only changing the speed of the generator and not the field current.
At 1250 rpm, the armature of the generator rotates faster, which means that the rate of change of flux also increases. This leads to an increase in the induced voltage in the armature. As a result, the voltage at no-load increases.
However, the full-load voltage also increases due to increased armature reaction. Armature reaction is the effect of armature current on the magnetic field produced by the field winding. When the load current flows through the armature, it produces a magnetic field that opposes the main field produced by the field winding. This effect reduces the effective magnetic field in the machine, leading to a decrease in the induced voltage.
Since the armature reaction is proportional to the load current, it increases with load. Therefore, at higher speeds, the armature reaction also increases, leading to a larger drop in voltage from no-load to full-load. This means that the voltage regulation at full-load will be less than 10%.
Hence, the correct answer is option C, i.e., less than 10%.
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A dc shut generator has full load voltage regulation of 10% at rated speed of 1000 rpm. If it is now driven at 1250 rpm, then its voltage regulation at full load isa)10 %b)Greater than 10%c) Less than 10%d)12.5%Correct answer is option 'C'. Can you explain this answer?
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