How Do I Calculate the Output of My Wind Turbine Using Faraday's Law?

[xclr82xtc]

guys I am trying to do calculations for coils that i want to use...i don't know how to do faradays law..this is the information i have...

2inch coils, 80 turns (4layers, 20turns each layer) average diameter is .75 inches. distance from magnet is .25inches.

speed is 80turns in 1.123seconds (1 coil in 1.123 seconds) or .05615 per 4 turns

magnet information (using 2 magnets...one on each side of coil)

DCX8

# Dimensions: 3/4" dia. x 1 1/2" thick
# Tolerances: ±0.002" x ±0.002"
# Material: NdFeB, Grade N42
# Plating/Coating: Ni-Cu-Ni (Nickel)
# Magnetization Direction: Axial (Poles on Flat Ends)
# Weight: 2.87 oz. (81.5 g)
# Pull Force, Case 1: 37.70 lbs
# Pull Force, Case 2: 37.70 lbs
# Surface Field: 6403 Gauss
# Max Operating Temp: 176ºF (80ºC)
# Brmax: 13,200 Gauss
# BHmax: 42 MGOe


this is not a homework problem...im an amateur windmillist

this is what i have...im trying to find output at 1rpm of a 34inch turbine with 21 coils (7 coils each phase) if someone will tell me how to plug in the equations i could do the math, but this is beyond me...if you need more info i will get it. please help.

 

[uart]

It's hard to say without more details (do you have an iron circuit for example?) but at that speed don't expect too much.

Here's a very rough calculation.

Coil area approx 0.75" x 0.75" (0.00036 m^2)
flux density approx +/- 0.32T (guestimate)
V would be approx 4.44*0.00036* 0.32 * 80 = 36mV per coil

BTW. The const 4.44 is 2 pi / sqrt(2). It's only really appropriate for sinusoidal fux density but the above calc is only a rough guide anyway.

 

[sir-pinski]

Hi there,

I'm sorry to hear that you're having trouble with your wind turbine calculations. Faraday's Law is a fundamental principle in electromagnetism that relates the magnetic field induced in a closed circuit to the rate of change of the magnetic flux through the circuit. In simpler terms, it describes how electricity can be generated by moving a magnet near a coil of wire.

To apply Faraday's Law to your specific situation, you will need to consider the following factors:

1. The number of turns in your coil: In your case, you have 80 turns in your coil, arranged in 4 layers with 20 turns in each layer.

2. The average diameter of your coil: You have mentioned that the average diameter of your coil is 0.75 inches.

3. The distance from the magnet: The distance between the magnet and the coil is 0.25 inches.

4. The speed of rotation: You have mentioned that the coil rotates at 80 turns in 1.123 seconds, which means it rotates at a speed of 0.05615 turns per second.

5. The magnet information: The magnet you are using is a DCX8 with the dimensions, material, and magnetization direction provided.

To calculate the output of your wind turbine, you will need to use the equation V = -N(dΦ/dt), where V is the induced voltage, N is the number of turns in the coil, and dΦ/dt is the rate of change of magnetic flux. The negative sign indicates the direction of the induced voltage, which is important for understanding the direction of current flow.

To find the rate of change of magnetic flux, you will need to consider the magnetic field strength and the area of the coil. The magnetic field strength can be calculated using the surface field and the distance from the magnet, while the area of the coil can be calculated using the average diameter and the number of turns in the coil.

Once you have calculated the induced voltage, you can use Ohm's Law (V = IR) to find the current output of your turbine. Remember to consider the resistance of your circuit as well.

I hope this helps in your calculations. If you need more specific guidance, please provide more information such as the dimensions and specifications of your wind turbine and the type of generator you are using. Good luck with your project!