Rainfall Driven Micro Hydro-Generating System

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A Rainfall Driven Micro Hydro-Generating System is designed to produce 30 W at 12 V regulated DC using a pelton turbine. The relationship between the length of the water pipe, turbine rotation speed, and generated voltage is influenced by factors such as water flow and head. Longer pipes may lead to power loss due to increased travel time and potential momentum loss, but vertical or inclined orientations could enhance momentum. Measuring flow accurately is crucial for optimizing system performance. Understanding these dynamics is essential for effective system design and energy generation.
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Homework Statement


Im trying to design a Rainfall Driven Micro Hydro-Generating System
Under normal operation, the generating system is expected to produce 30 W at 12 V regulated DC.
Is there any relation between the length of the water pipe, the speed of rotation of the turbine and the generated voltage?
and how to measure the flow? (Im using rainfall here)

Homework Equations


the Power generated is equal to Head x flow x g x efficiency of the turbine


The Attempt at a Solution


I'm using a pelton turbine, I found how the power generated is calculated
 
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Not entirely sure what this thing is meant to look like, but I presume the length would matter as that's a distance, so with a greater distance you may lose power as it takes time for water to travel a longer distance, possible loss of momentum.

Alternatively, a longer pipe might mean increased momentum if it was vertically pointed, or on some kind of incline; depends on orientation.
 
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