Instructions

A thermal power plant produces electric power of 600 kW at 4000 V, which is to be transported to a place 20 km away from the powerplant for consumers’ usage. It can be transported either directly with a cable of large current carrying capacity or by using a combination of step-up and step-downtransformers at the two ends. The drawbackof the direct transmission is the large energy dissipation. In the method using transformers, the dissipation is much smaller. In this method, a step-up transformeris used at the plant side so that the current is reduced to a smaller value. At the consumers’ end, a step-down transformer is used to supply powerto the consumersat the specified lower voltage. It is reasonable to assume that the powercable is purely resistive and the transformers are ideal with a powerfactor unity. All the currents and voltages mentioned are rms values.

Question 16

In the method using the transformers, assume that the ratio of the numberof turns in the primary to that in the secondary in the step-up transformeris 1 : 10. If the power to the consumers has to be supplied at 200 V, the ratio of the numberof turns in the primary to that in the secondary in the step-down transformer is


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