A transformer has its maximum efficiency of 98% at 20kVA and unity power factor. During the day, it is loaded as under: 12 hours: 3kW at power factor 0.5 lagging. o nours: 11kW at power factor 0.8 lagging. 6 hours 48kWat power factor 0.9 lagging. Find the all-day efficiency.

A transformer has its maximum efficiency of 98% at 20kVA and unity power factor. During the day, it is loaded as under: 12 hours: 3kW at power factor 0.5 lagging. o nours: 11kW at power factor 0.8 lagging. 6 hours 48kWat power factor 0.9 lagging. Find the all-day efficiency.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.21P: An industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor...

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Concept explainers

Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.

Question

transformer has its maximum efficiency of 98% at 20kVA and unity power factor. During the day, it
is loaded as under:
12 hours: 3kW at power factor 0.5 lagging.
o nours: 11kW at power factor 0.8 lagging.
6 hours 48kWat power factor 0.9 lagging.
Find the all-day efficiency.

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