Formula for voltage output produced by an alternator?

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Discussion Overview

The discussion centers around the calculation of the number of turns required in a coil of a magneto to produce a specific voltage output, particularly in the context of a school project aimed at powering a small bulb using a concept alternator powered by rainwater. Participants explore the relationship between coil turns, voltage, and the frequency of rotation of the magnet.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related
  • Debate/contested

Main Points Raised

  • One participant seeks to determine how many turns of coil are needed to achieve 5 volts when the rotor rotates at 2-3 times per second.
  • Another participant emphasizes the importance of considering current and power requirements, suggesting that simply calculating voltage without understanding these factors may lead to issues.
  • A participant provides a formula for induced electromotive force (emf) and outlines a method for calculating the number of turns per phase based on various parameters, including magnetic flux and frequency.
  • There is a question raised about the rationale behind aiming for 5 volts instead of 3 volts, with concerns about potential issues related to excess voltage and current draw on the bulb.

Areas of Agreement / Disagreement

Participants express differing views on the importance of understanding current and power requirements in relation to voltage output. There is no consensus on the specific number of turns needed or the optimal voltage to target for the project.

Contextual Notes

Participants have not fully resolved the assumptions regarding the relationship between voltage, current, and the load on the bulb. The discussion includes various formulas and parameters that may depend on specific definitions and conditions not fully articulated.

yrjosmiel73
Hello!

I have a science investigatory project issued by my school. For my (actually our) project, we decided we will make a some sort of concept alternator powered by water collected from rain. Our goal is pretty small, to power up a small 5-volt bulb. Assuming the rotor rotates 2-3 times a second, how many turns will the coil need to attain 5 volts or more?

Edit: I meant magneto by alternator.

Thanks!
an 8th grader
 
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yrjosmiel73 said:
Thanks for the link, but I have the concept of the project already laid out. I just need the specific values of things such as mentioned before, how much turns of coil do I need to reach 5 volts when the magnet turns 2-3 times per second?
A number of turns that will produce 5 volts unloaded will do you absolutely no good at all if the bulb loads it well beyond its capacity to generate current. That not too likely to happen but my point is that your having totally ignored the current (/power) requirements implies that you don't quite grasp the fundamentals so it would be a good idea for you to study up a bit on basic electricity.

Taking on such a project at 8th grade is a terrific thing to do, so I don't mean to discourage you, I'm just suggesting that there is maybe an hour's worth of reading that you should do on some site that explores the basics of electricity (the concepts of voltage / current / power and so forth).
 
phinds said:
A number of turns that will produce 5 volts unloaded will do you absolutely no good at all if the bulb loads it well beyond its capacity to generate current. That not too likely to happen but my point is that your having totally ignored the current (/power) requirements implies that you don't quite grasp the fundamentals so it would be a good idea for you to study up a bit on basic electricity.

Taking on such a project at 8th grade is a terrific thing to do, so I don't mean to discourage you, I'm just suggesting that there is maybe an hour's worth of reading that you should do on some site that explores the basics of electricity (the concepts of voltage / current / power and so forth).

I'm trying to power up a 3-volt bulb.
 
In my opinion you could use the simple formula as:

Induced emf Eph = 4.44* f *Flux*Tph*kw then:

turns per phase Tph = Eph / (4.44* f*Flux* kw)

Frequency of generated emf f = p*NS/120 = p*ns/2,

Ns = Synchronous speed in rpm[rotations/minute]

ns = synchronous speed in rps[ rotations/second]

p = no of pole pairs.

kw = winding factor

Air gap flux per pole Flux= Bav*PI()*D*L/p where:

Bav = Average [magnetic] flux density

D=stator diameter; L=stator length

Let’s take an example:

Let's take a pole of Neodymium Magnet N30 Br=1.12 T[Wb/m^2]

http://www.supermagnete.de/eng/data_table.php

Let's average magnetic flux density Bav=Br

Let's take a stator of 3cm inside diameter and 10 cm length

Let's take 2 poles[p=number of pole pairs=1]

Let's take winding factor kw=0.955

Flux= Bav*PI()*D*L/p=1.12[Wb/m^2]*pi()*0.03[m]*0.1[m]/1=0.010556 Wb

f=p*ns/2=1*3/2=1.5 Hz

Tph = Eph / (4.44* f*Flux* kw)=5/(4.44*1.5*0.010556*0.955)=75 turns/phase
 
yrjosmiel73 said:
I'm trying to power up a 3-volt bulb.
Then why are you trying to produce 5 volts instead of 3? If your source has decent power capability you'll either burn out the bulb or, more reasonably, have to burn off some of the excess as heat in a resistive voltage divider
 

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