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Two shunt generators, each with a no-load voltage of 130 V are running parallel. Their external...

Two shunt generators, each with a no-load voltage of 130 V are running parallel. Their external characteristics can be taken as straight lines over this operating ranges. Generator No. 1 is rated at 35 kW and its full-load voltage is 120 V, Generator No. 2 is rated at 200 kW at 110 V. Calculate the busbar voltage when the total load is 22500 A. How is the load divided between the two?

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Answer #1

Let V be the terminal voltage of the bus-bar, x1 and x2 be the load carried by each generator in terms of percentage of rated load, P1 be the power delivered by generator 1, and P2 be the power delivered by generator 2.

Write the expression for the terminal voltage of the bus bar for both the generators.

Solve the above two expressions to get the relation between both the percentage load.

Since the power delivered in DC generators is given by VI watt, the load on both the generators is,

Write the expression for the terminal voltage and substitute the known values.

Find the percentage of load shared by both the generators.

Write the expression of load in terms of the current and terminal voltage and obtain the relationship between both the currents.

Also,

Solve the above two expressions to find the current shared by both the generators.

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