The hydroelectric power plant at Hoover dam has a ratedgeneration capacity of 13

Question

1. The hydroelectric power plant at Hoover dam has a ratedgeneration capacity of 1345 MW. There are 17 turbine-generators toproduce the rated electricity. The water falls through 600 ft tothe turbines. Assume water density = 1000 kg/m3 andgravitational acceleration g = 9.81 m/s2.

(a)    Determine the generation capacityof each turbine-generator.
I got 30mw (b)   Find the flow rate of water through eachturbine-generator. Based on the specific speed, what type ofturbine should be chosen: Pelton wheel, Francis or Kaplanturbine?
??? (c)    Calculate the load factor of the powerplant if the average power generation is 4.3 x 109kWhr/yr.
??? (d)    If the cost of the dam and the powerplant cost 175 million dollars, what is the cost per rated kW ??? Can any one help we with theseproblems---thanks (a)    Determine the generation capacityof each turbine-generator.
I got 30mw (b)   Find the flow rate of water through eachturbine-generator. Based on the specific speed, what type ofturbine should be chosen: Pelton wheel, Francis or Kaplanturbine?
??? (c)    Calculate the load factor of the powerplant if the average power generation is 4.3 x 109kWhr/yr.
??? (d)    If the cost of the dam and the powerplant cost 175 million dollars, what is the cost per rated kW ??? Can any one help we with theseproblems---thanks Can any one help we with theseproblems---thanks

Explanation / Answer

HI JUST FOLLOW THESE SIMPLE STEPS TO UNDERSTAND THESOLUTION GIVEN THAT P=1345 MW ; No of Turbines = 17 ; H=600 ft = 182.88 m (b) We know        Power P=QH          1345*10^6 = 9810*Q*182.88                          Q = 749.699 m^3/s (for 17-turbines) Discharge for single Turbine is  749.699/17                          Q=44.1 m^3/s SINCE THE HEIGHT IS INBETWEEN 150 TO 300m Pelton turbine should be used. (C)       Average power generation =4.3*10^9 kwhr/yr       Power generated with fullcapacity = 1345*10^6*24*365/(10^3)                                                               =1.178*10^10 kwhr/yr the load factor of the power plant = Average power generation/Power generated withfull capacity (C)       Average power generation =4.3*10^9 kwhr/yr       Power generated with fullcapacity = 1345*10^6*24*365/(10^3)                                                               =1.178*10^10 kwhr/yr the load factor of the power plant = Average power generation/Power generated withfull capacity   The load factor of the power plant = 4.3*10^9/1.178*10^10 The load factor of the power plant = 0.364

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