Orlík hydroelectric plant

The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m3/s is supplied with a flow rate of h = 70.5 m at full power.
a) What is the total installed power of the power plant at efficiency n = 87%?
b) For the fast charging of electric vehicles overnight, power consumption up to P0 = 11kW is required. How many would electric cars cover power plant power?
c) How many days of full power operation corresponds to the delivered energy E = 398GWh

Correct result:

P =  361.0178 MW
n =  32820
d =  45.9

Solution:

h=70.5 m Q=150 m3/s p=87/100=87100=0.87 n=4 g=9.81 m/s2 w=1000 kg/m3  E=m g h P1=Q w g h=150 1000 9.81 70.5=103740750 W P11=P1/106=103740750/106103.7408 MW P=p n P11=0.87 4 103.7408=361.0178 MW
P0=11/1000=111000=0.011 MW n=P/P0=361.0178/0.011=32820
E=398 GWh  P2=P/1000=361.0178/10000.361 GW d=E/(24 P2)=398/(24 0.361)=45.9



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