Calculating voltage of pm generator

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Discussion Overview

The discussion revolves around calculating the voltage output of a permanent magnet (pm) generator, focusing on the relevant formulas and parameters involved in the design and optimization of such generators. Participants explore concepts related to magnetic flux, coil area, and the impact of air gaps on magnetic energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents the formula for voltage output as V = N x A x M, seeking clarification on how to calculate the area of the coil, questioning whether it refers to wire diameter times length or length times width for rectangular coils.
  • Another participant confirms the formula and introduces an alternative expression involving magnetic flux, suggesting that calculating the magnetic field (B) is essential, noting that B is influenced by the configuration of magnets and iron circuits.
  • Discussion includes the importance of optimizing the air gap between magnets and coils to maximize magnetic energy, with one participant providing a formula for calculating magnetic energy in the air gap.
  • Several participants express similar confusion regarding the application of Faraday's law and the specifics of their configurations, indicating a desire to share concepts and drawings for better understanding.
  • A participant describes their generator setup, detailing the number of windings, cross-sectional area, and air gap, while posing questions about the effectiveness of magnetic flux and proper calculations for their specific design.
  • Another participant mentions the specifications of their magnets and provides a calculated field strength, contributing to the discussion on magnetic flux and air gap considerations.
  • Some participants express frustration with the thread format and the difficulty in receiving responses, suggesting a desire for more focused discussions on their individual concepts.

Areas of Agreement / Disagreement

Participants generally agree on the importance of understanding magnetic flux and the role of air gaps in generator design. However, there are multiple competing views on the specifics of calculations and configurations, and the discussion remains unresolved regarding the optimal parameters for their setups.

Contextual Notes

Limitations include varying interpretations of coil area calculations, dependencies on specific configurations, and unresolved questions about magnetic field calculations and their implications for generator performance.

watts up?
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I'm attempting to build my own pm generator and am trying to calculate voltage output. I see the formula for voltage output is N = number of turns of a coil, A = area of the coil and M = rate of magnetic field change in Tesla's/sec.
So V=NxAxM Ok I get most of that,but what is eluding me is how to calculate the area of the coil ? Does it mean the wire diameter x the length of wire used, or length x width of the coil (in the case of a square or rectangular coil) ?
Thanks very much for any and all help.
Watts up.
 
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watts up? said:
I see the formula for voltage output is N = number of turns of a coil, A = area of the coil and M = rate of magnetic field change in Tesla's/sec.
Yes. It could be rewritten:

V = dΨv/dt ,

ψ is the flux = B * A , Ψv = Ψ*N.
watts up? said:
or length x width of the coil (in the case of a square or rectangular coil) ?
Yes.

Your problem is to calculate B. B = μ * H, and some magnets are specified by their B-field. But when you build in the magnets in connection with some iron circuit, the specified B-field will change ( probably raise ).

To make the generator effective, ( optimized ), you must regard the width of the airgap, between the magnets and the coil, to be not too small and not too large. You must use magnetizing characteristics to calculate the optimal width. Optimizing the airgap means to create as much magnetic energy in the airgap as possible, because it's the change in this energy that makes the electrical power.
 
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Ok thank you much for your reply !
 
The magnetic energy in the airgap is calculated as:

E = ½*B*H * volumeairgap

If you enlarge the the volume of the airgap ( making the width larger ) the B and H-field will be decreased, and vica versa. If the width is zero, the energy is zero. Therefore: Not too small and not too large.
 
Last edited:
Hi, I have the same question actually. Could I possibly add to this thread with a concept of my own, which may shed some light on the subject? I would like to add a drawing here, because the answer would really depend on the configuration?
 
Hi, I have the same question actually, but am still in the dark as to Faraday's proper application. Could I possibly add to this thread with a concept of my own, which may shed some light on the subject? I would like to add a drawing here, because the answer would really depend on the configuration?
 
Here is the concept attached. The target is 220 V; I have 3 rings of solid copper coil of 220, 300 and 400 windings respectively joined in series. The cross section area is about 3 mm^2 with a very thin insulation, which I hope can handle over 25 Amps. These are embedded in the (blue) casing, 2 to the top and the outer one to the side. Generator magnets revolve around the coils and consist of 3 rings (each 4 block magnets in height), 24, 36 and 44, totaling 416. I have arranged them to alternate poles every half revolution. From what I understand, for 50 Hz I require 3000 rpm on a 2-pole system for this configuration. There is a 1 mm air gap.

There are a number of things I still am not sure of though:
1. Firstly, would the magnetic flux be effective at all in this configuration?
2. Is the air gap correct? Here I am totally in the dark concerning B and H fields!
3. How does one properly calculate the magnetic flux area here?

I am not a physics pro, so I only understand things in simple terms.
Any assistance would be greatly appreciated!
 

Attachments

I forgot to mention the magnet specs: 9x9x10mm long Ceramic grade 8 blocks, From a website app, I get a field strength 1mm from the surface of about 0.1158 Tesla.
 
cordin said:
Could I possibly add to this thread with a concept of my own,
Well, I think you must post a new thread, but I'm not a "member of the staff".
I think you are disrupting this thread. :smile:
 
  • #10
OK, my apologies. I have tried a new thread, but it's almost impossible to get a useful response from anyone. I would just like to discuss this idea briefly to check if I am on the right track!
 
  • #11
cordin said:
I have tried a new thread, but it's almost impossible to get a useful response from anyone.
Try again.
 

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