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A DC shunt generator generates 400V when running at 1800rpm.Determine how much percent the flux has to increase per pole, to generate 500V when running at 20rps
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A DC shunt generator generates 400V when running at 1800rpm.Determine ...
DC Shunt Generators:
A DC shunt generator is a type of direct current (DC) generator that operates with a shunt field winding connected in parallel with the armature winding. It generates a steady output voltage by regulating the field current.

Given Information:
- Voltage generated at 1800rpm: 400V
- Speed of the generator to generate the desired voltage: 20rps

Calculating Flux Increase:
To determine the percentage increase in flux per pole required to generate 500V at 20rps, we can use the formula:

V1 / V2 = (N1 / N2) * (Φ1 / Φ2)

Where:
- V1 is the initial voltage (400V)
- V2 is the desired voltage (500V)
- N1 is the initial speed (1800rpm)
- N2 is the desired speed (20rps)
- Φ1 is the initial flux per pole
- Φ2 is the desired flux per pole (to be calculated)

Calculating Speed Conversion:
First, we need to convert the speed from rpm to rps:
N1 = 1800rpm * (1/60) = 30rps

Calculating Flux Increase:
Next, we rearrange the formula and solve for Φ2:

Φ2 = Φ1 * (N1 / N2) * (V2 / V1)

Substituting the given values:
Φ2 = Φ1 * (30rps / 20rps) * (500V / 400V)

Simplifying the equation:
Φ2 = Φ1 * 1.5 * 1.25
Φ2 = Φ1 * 1.875

Therefore, the flux per pole needs to increase by 1.875 times or 87.5% in order to generate 500V at 20rps.

In summary, to generate 500V at 20rps, the flux per pole needs to increase by 87.5% compared to the flux generated at 1800rpm. This can be achieved by increasing the field current or adjusting the field winding configuration.
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