You have been assigned to select a transformer to supply a peak power of 100 kW to a load that draws peak power only a very small percentage of the time and draws very little power the rest of the time. Two transformers, A and B, are both suitable. While both transformers have the same efficiency at peak load, most of the loss in A is due to core loss, and most of the loss in B is due to the resistances of the coils. From the standpoint of operating costs, which transformer is better? Why?

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You have been assigned to select a transformer to supply a peak power of 100 kW to a load that draws peak power only a very small percentage of the time and draws very little power the rest of the time. Two transformers, A and B, are both suitable. While both transformers have the same efficiency at peak load, most of the loss in A is due to core loss, and most of the loss in B is due to the resistances of the coils. From the standpoint of operating costs, which transformer is better? Why?

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Step 1

Given a transformer is supplying the peak load of 100 kw for small time and very less load in the rest of the time

Given two transformers A and B have the same efficiency at the time of peak load that means they having the same  losses at peak time so from this at peak time any transformer can be selected .

Given most of the losses in A  is due to the core losses

And losses in B is due to the resistance of coils

core losses are constant at any given load

losses  due to resistance =I2R

so losses due to the resistance is dependent on load 

In  given operating condition with very less load the losses due to resistance are less than the core losses

If we use transformer A ,always losses are present at any time irrespective of peak or less load so efficiency is very less 

Hence if we use Transformer B the losses are present at peak load time only and in remaining time the losses are very less so efficiency is high and operating cost is less   

 

 

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