A Turgo type hydro-electric plant uses a 92% efficiency generator to produce its rated output of 32.5 MW. It was observed during its operation that the mechanical loss is 4.25 MW. Also, from the penstock down to the turbine, 14.3% hydraulic head loss and 8.9% leakage loss occurs which are equally distributed and based on the parameters at the dam. The average elevation from the headrace to the jet centerline is 40 m and from the tailrace to the jet centerline is 4.5 m. compute the following:   a. Power by the turbine, kW   b. Volume flow rate at the source, m3/s   c. Power by the jet, kW   d. Mechanical 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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.48P
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A Turgo type hydro-electric plant uses a 92% efficiency generator to produce its rated output of 32.5 MW. It was observed during its operation that the mechanical loss is 4.25 MW. Also, from the penstock down to the turbine, 14.3% hydraulic head loss and 8.9% leakage loss occurs which are equally distributed and based on the parameters at the dam. The average elevation from the headrace to the jet centerline is 40 m and from the tailrace to the jet centerline is 4.5 m. compute the following:

 

a. Power by the turbine, kW

 

b. Volume flow rate at the source, m3/s

 

c. Power by the jet, kW

 

d. Mechanical Efficiency, %

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