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

Result

P =  361.018 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 4 103.7408361.0178361.018 MWh=70.5 \ \text{m} \ \\ Q=150 \ \text{m}^3\text{/s} \ \\ p=87/100=\dfrac{ 87 }{ 100 }=0.87 \ \\ n=4 \ \\ g=9.81 \ \text{m/s}^2 \ \\ w=1000 \ \text{kg/m}^3 \ \\ \ \\ E=m \cdot \ g \cdot \ h \ \\ P_{1}=Q \cdot \ w \cdot \ g \cdot \ h=150 \cdot \ 1000 \cdot \ 9.81 \cdot \ 70.5=103740750 \ \text{W} \ \\ P_{11}=P_{1}/10^6=103740750/10^6 \doteq 103.7408 \ \text{MW} \ \\ P=p \cdot \ n \cdot \ P_{11}=0.87 \cdot \ 4 \cdot \ 103.7408 \doteq 361.0178 \doteq 361.018 \ \text{MW}
P0=11/1000=111000=0.011 MW n=P/P0=361.0178/0.01132819.818232820P_{0}=11/1000=\dfrac{ 11 }{ 1000 }=0.011 \ \text{MW} \ \\ n=P/ P_{0}=361.0178/ 0.011 \doteq 32819.8182 \doteq 32820
E=398 GWh  P2=P/1000=361.0178/10000.361 GW d=E/(24 P2)=398/(24 0.361)45.934945.9E=398 \ \text{GWh} \ \\ \ \\ P_{2}=P/1000=361.0178/1000 \doteq 0.361 \ \text{GW} \ \\ d=E/(24 \cdot \ P_{2})=398/(24 \cdot \ 0.361) \doteq 45.9349 \doteq 45.9



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

Next similar math problems:

  1. Cylindrical tank 2
    watertank_3 If a cylindrical tank with volume is used 12320cm raised to the power of 3 and base 28cm is used to store water. How many liters of water can it hold?
  2. Effective and mean voltage
    serial-parallel A voltage divider consisting of resistors R1 = 103000 Ω and R2 = 197000 Ω is connected to the ideal sine wave voltage source, R2 is connected to a voltmeter which measures the mean voltage and has an internal resistance R3 = 200300 Ω, the measured value i
  3. Solid in water
    inwater The solid weighs in air 11.8 g and in water 10 g. Calculate the density of the solid.
  4. Water flow
    pipe2 How much water flow in pipe with a diameter of 16 cm in 1 hour if the water velocity is 2.5 m/s?
  5. Shot
    wood_projectile Shot with a mass 43 g flying at 256 m/s penetrates into the wood to a depth 25 cm. What is the average force of resistance of wood?
  6. G forces
    car_crash Calculate deceleration of car (as multiple of gravitational acceleration g = 9.81 m/s2) which occurs when a car in a frontal collision slows down uniformly from a speed 111 km/h to 0 km/h in 1.2 meters trajectory.
  7. Car
    motor_cylinders_kW At what horizontal distance reaches the car weight m = 753 kg speed v = 74 km/h when the car engine develops a tensile force F = 3061 N. (Neglect resistance of the environment.)
  8. Aircraft nose down
    stall_747 How long will fall airliner from a height of 10000 m at speed 1,000 km/h?
  9. Iron cast
    litina What is the weight of cast iron with volume 3575 cubic centimeters. The density of the cast iron is 7600 kg/m3
  10. Flywheel
    zotrvacnik Flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point which are at a distance of 10 cm from the rotation axis.
  11. Gold horseshoe
    podkova Calculate the volume of a gold horseshoe that weighs 750g.
  12. Cuprum
    plusminus From 1600 mm long sheet of copper plate 2 mm thickness we have separated over the whole length the belt weighing 6000 g. Calculate belt width if 1 dm3 copper weighs 8.9 kg.
  13. Water level
    flow To cuoid shaped poll, bottom size 2m and 3.5m; flows water at a rate of 50 liters per minute. How long will take to water reach level 50 cm?
  14. Railway wagon
    cargo The railway wagon holds 75 m3 load. Wagon can carry a maximum weight of 30 tonnes. What is the maximum density that may have material with which we could fill this whole wagon? b) what amount of peat (density 350 kg/m3) can carry 15 wagons?
  15. Bomber
    tu-160 The aircraft flies at an altitude of 4100 m above the ground at speed 777 km/h. At what horizontal distance from the point B should be release any body from the aircraft body to fall into point B? (g = 9.81 m/s2)
  16. The shop
    lahev The shop has 3 hectoliters of water. How many liter bottles is it?
  17. Clock
    1clock How many hours are 15 days?