Hello agein, a biger question this time.
Height difference H 180 meters
Flow T 3000 tons / second
Delivery 4.2 GW P
a)
How large is the efficiency of the plant through the turbines?
b)
From turbine power plant goes through a cable stretch over a long stretch. The efficiency of this stretch is estimated to be 0.62 (62%).
How much effect can be taken out of a maximum cable migration on the supply side?
c)
How large is the overall efficiency of the plant from the dam to the delivery point
Thanks for your help
Are you talking metric tons (1000 kg) or USA tons (2000 lbm)?
a) Divide the rate of (water) potential energy loss to the electrical output of the turbine. Use consistent units
efficiency = 4.2*10^9 W/(dM/dt)*g*H)
dM/dt is the mass flow rate; H is the height of reservoir water above the turbine intake.
If your tons are metric, I get 79.4%
b) I have no idea what you mean by "taking effect out of cable migration"
Are you Google-computer-translating from Norwegian?
(c) The overall efficiency is the product of turbogenerator efficiency (from a) and the line transmission efficiency
a) To calculate the efficiency of the plant through the turbines, we need to know the total energy input and the useful energy output. Here's how you can calculate it:
1. Calculate the potential energy of the water using the height difference (H) and the flow rate (T):
Potential energy = H * T * g
where g is the acceleration due to gravity (approximately 9.8 m/s²).
2. Calculate the total energy input by multiplying the potential energy by the time it takes for the water to flow through the turbines:
Total energy input = Potential energy * time
3. Determine the useful energy output, which is given as the delivery power (P) in gigawatts (GW). Convert it to watts by multiplying by 10^9:
Useful energy output = P * 10^9
4. Calculate the efficiency by dividing the useful energy output by the total energy input and multiplying by 100 to express it as a percentage:
Efficiency = (Useful energy output / Total energy input) * 100
b) To calculate the maximum effect that can be taken out of the cable migration on the supply side, we need to know the cable efficiency (E) and the useful energy output from part a).
1. Calculate the maximum effect by multiplying the useful energy output by the cable efficiency:
Maximum effect = Useful energy output * E
c) To determine the overall efficiency of the plant from the dam to the delivery point, we need to take into account both the efficiency of the turbines and the cable migration. Here's how you can calculate it:
1. Calculate the overall efficiency by multiplying the efficiency through the turbines (from part a) by the efficiency of the cable migration (from part b):
Overall efficiency = (Efficiency through turbines / 100) * Cable efficiency
Please provide the values for the height difference (H), flow rate (T), delivery power (P), and cable efficiency (E) in order to calculate the answers to your questions.