Answered: A hydro-electric power station has a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question 2

A hydro-electric power station has a reservoir area of 3,8-km2 and a capacity of 9,9 x 106 m3 . The effective head of water is 100 metres. The penstock, turbine and generation efficiencies are 95%, 90%, and 85%, respectively.

2.1 Determine the overall efficiency of the power station (%) and determine the total electrical energy that can be generated from the power station (kWh).

2.2 Determine the depth of the reservoir (metres)

2.3Determine the fall in reservoir volume level is the load of 100 kW is supplied for 5 hours (%).

Expert Solution

Step 1

Given,

$W e i g h t o f w a t e r a v a i l a b l e, W = 9.9 \times 10^{6} \times 10^{3} \times 9.81 W = 97.12 \times 10^{9} N O v e r a l l e f f i c i e n c y, η_{o} = 0.95 \times 0.90 \times 0.85 η_{o} = 0.726 T o t a l e l e c t r i c a l p o w e r t h a t c a n b e g e n e r a t e d f r o m t h e p o w e s t a t i o n, P = ρ g Q H η_{o} P = \frac{97.12 \times 10^{9} \times 100 \times 0.726}{1000 \times 3600} P = 1958586.67 K W h$