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Unit Power of Hydroelectric Power Plant Formula

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The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit. Check FAQs

P u = \frac{\frac{P h}{1000}}{H^{\frac{3}{2}}}

P_u - Unit Power?P_h - Hydroelectric Power?H - Fall Height?

Unit Power of Hydroelectric Power Plant Example

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With units

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Here is how the Unit Power of Hydroelectric Power Plant equation looks like with Values.

Here is how the Unit Power of Hydroelectric Power Plant equation looks like with Units.

Here is how the Unit Power of Hydroelectric Power Plant equation looks like.

1.3016 = \frac{\frac{5145}{1000}}{250^{\frac{3}{2}}}

1.3016 = \frac{\frac{5145kW}{1000}}{{250m}^{\frac{3}{2}}}

1.3016 = \frac{\frac{5145}{1000}}{250^{\frac{3}{2}}}

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Unit Power of Hydroelectric Power Plant Solution

Follow our step by step solution on how to calculate Unit Power of Hydroelectric Power Plant?

FIRST Step Consider the formula

P u = \frac{\frac{P h}{1000}}{H^{\frac{3}{2}}}

Next Step Substitute values of Variables

∴

P u = \frac{\frac{5145kW}{1000}}{{250m}^{\frac{3}{2}}}

Next Step Convert Units

∴

P u = \frac{\frac{5.1E+6W}{1000}}{{250m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

P u = \frac{\frac{5.1E+6}{1000}}{250^{\frac{3}{2}}}

Next Step Evaluate

∴

P u = 1.30159348492531

LAST Step Rounding Answer

∴

P u = 1.3016

Unit Power of Hydroelectric Power Plant Formula Elements

Variables

Unit Power

The unit power refers to the amount of power generated by a single generator unit. The maximum power output of a single generator unit.

Symbol: P_u

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Unit Power

Hydroelectric Power

Hydroelectric Power depends on several factors such as the water flow rate, the height difference btw the water source & the turbine.

Symbol: P_h

Measurement: PowerUnit: kW

Note: Value should be greater than 0.

Formulas to find Hydroelectric Power

Fall Height

Fall height, is an important factor in hydroelectric power generation. It refers to the vertical distance that the water falls from the intake point to the turbine.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fall Height

Other formulas in Hydroelectric Power Plant category

Go Energy Produced by Hydroelectric Power Plant

E = [g] \cdot ρ w \cdot Q \cdot H \cdot η \cdot t

Go Energy Produced by Hydroelectric Power Plant given Power

E = P h \cdot η \cdot t

Go Head or Height of Fall of Water given Power

H = \frac{P h}{[g] \cdot ρ w \cdot Q}

Go Flow Rate of Water given Power

Q = \frac{P h}{[g] \cdot ρ w \cdot H}

How to Evaluate Unit Power of Hydroelectric Power Plant?

Unit Power of Hydroelectric Power Plant evaluator uses Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2) to evaluate the Unit Power, The Unit Power of Hydroelectric Power Plant formula is defined as the power of a geometrically similar turbine working under a head of 1m. Unit Power is denoted by P_u symbol.

How to evaluate Unit Power of Hydroelectric Power Plant using this online evaluator? To use this online evaluator for Unit Power of Hydroelectric Power Plant, enter Hydroelectric Power (P_h) & Fall Height (H) and hit the calculate button.

FAQs on Unit Power of Hydroelectric Power Plant

What is the formula to find Unit Power of Hydroelectric Power Plant?

The formula of Unit Power of Hydroelectric Power Plant is expressed as Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2). Here is an example- 1.301593 = (5145000/1000)/250^(3/2).

How to calculate Unit Power of Hydroelectric Power Plant?

With Hydroelectric Power (P_h) & Fall Height (H) we can find Unit Power of Hydroelectric Power Plant using the formula - Unit Power = (Hydroelectric Power/1000)/Fall Height^(3/2).

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Unit Power of Hydroelectric Power Plant Formula

Unit Power of Hydroelectric Power Plant Example

Unit Power of Hydroelectric Power Plant Solution

Unit Power of Hydroelectric Power Plant Formula Elements

Other formulas in Hydroelectric Power Plant category

How to Evaluate Unit Power of Hydroelectric Power Plant?

FAQs on Unit Power of Hydroelectric Power Plant

Variable Name