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4hv.org :: Forums :: General Science and Electronics
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Homemade foil capacitors

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Ash Small
Fri Sept 14 2012, 11:48PM
Ash Small Registered Member #3414 Joined: Sun Nov 14 2010, 05:05PM
Location: UK
Posts: 4245
Yanom wrote ...


What's vacuum potting?


You suck the air out using a vacuum pump. A fridge compressor will do, but make sure it is CFC free before removing the pump.

There are other ways, but they involve rolling the caps under oil, or similar.
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Tony Matt
Sat Sept 15 2012, 03:42AM
Tony Matt Registered Member #3700 Joined: Sat Feb 19 2011, 12:59PM
Location:
Posts: 107
C = 8.854 * K * A * (N-1) / D

C = CAPACITANCE IN pF

K = DIELECTRIC CONSTANT

N = NUMBER OF PLATES

A = PLATE AREA [ SQUARE METER ]

D = DIELECTRIC THICHNESS [ METER ]


IF THE TW0 PLATES ARE COILED AS YOU SHOW IN THE BEGIN, THE TOTAL CAPACITANCE SHALL BE TWICED...

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Yanom
Sat Sept 15 2012, 04:49PM
Yanom Registered Member #4659 Joined: Sun Apr 29 2012, 06:14PM
Location:
Posts: 158
Tony Matt wrote ...

C = 8.854 * K * A * (N-1) / D

C = CAPACITANCE IN pF

K = DIELECTRIC CONSTANT

N = NUMBER OF PLATES

A = PLATE AREA [ SQUARE METER ]

D = DIELECTRIC THICHNESS [METER]


IF THE TW0 PLATES ARE COILED AS YOU SHOW IN THE BEGIN, THE TOTAL CAPACITANCE IS SHALL BE TWICED...

Based on this data, I wrote a Python computer program to calculate the total energy that could be stored in a homemade capacitor based on these values. Is my math right?
#!/usr/bin/python3
K = float(eval(str(input("Dielectric Constant? ") )))
A = float(eval(str(input("Plate area (Square meters)? "))))
D = float(eval(str(input("Dielectric thickness (meters)? "))))
n = 2 #two plates on a regular capacitor

nminusone = n-1
picofarads = (8.854*K*A*nminusone)/D
picofarads = picofarads*2 # rolled capacitor
farads = picofarads*(10**-12)

print(str(picofarads/1000) + " uF capacitor")

S = float(eval(str(input("Dielectric strength (V/m) ? "))))
maxvoltage = S*D

print("Maximum voltage: " + str(maxvoltage) + "V")

J=farads*maxvoltage*maxvoltage

print("Stored Energy: " + str(J) + "J")

I looked up values for wax paper and found Di.Constant=~3, Di.Strength = 3.6E7 V/m. This program tells me I could store upwards of 10KJ in a capacitor made from two rolls of allumninum foil and two rolls of wax paper. Is that right?

EDIT: there was a bug in the code. I fixed it above and it gives sane results now.
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Newton Brawn
Mon Sept 17 2012, 05:18AM
Newton Brawn Registered Member #3343 Joined: Thu Oct 21 2010, 04:06PM
Location: Toronto
Posts: 311
Yanom:
1 - The info from Tony is the practical and acceptable formula to start a capacitor design.
2- We are skiping the capacitor design procedure and going to abstracts ...
3- There several points that may be not true, or need to be clarified (in the program and in the conclusions).

In order to get a result, lets leave the program at side and try calculate step by step:

info acceptable:
C = 8.854 * K * A * (N-1) / D
C = CAPACITANCE IN pF
K = DIELECTRIC CONSTANT (use 3.00 as you wrote)
N = NUMBER OF PLATES (use two, rolled, ayw )
D = DIELECTRIC THICKNESS [ METER ] ( to be calculated )
A = PLATE AREA [ SQUARE METER ] ( to be calculated )
assume that the waxed paper dielectric is 20kV/mm
assume that a rolled cap has twice the capacitance of flat cap of same area


Problem:
Calculate a rolled capacitor, 10 microfarads, 1000 maximum peak voltage.
a - State the thickness of the available foil. State the thickness of the available paper.
b - first calculate the dielectric thickness.
b - calculate the aluminum foil area and dimensions of each foil.
c - calculate paper area and dimension of each paper sheet.
d - calculate the energy and the energy per sq cm.

I hope you following the above steps it will be easier for us review and providing a oppinion.

Regards

Newton





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Newton Brawn
Wed Sept 19 2012, 02:05AM
Newton Brawn Registered Member #3343 Joined: Thu Oct 21 2010, 04:06PM
Location: Toronto
Posts: 311
Any comment ?
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Tony Matt
Wed Sept 19 2012, 02:57AM
Tony Matt Registered Member #3700 Joined: Sat Feb 19 2011, 12:59PM
Location:
Posts: 107
Hi !

I did some calculations, let me know if Im in the right track

a - Thickness of aluminum foil = 0.018mm (Jerrolds Wrap kitchen foil)... Also assuming that the available waxed paper thickness as 0.1mm.

b- calculating the required paper thickness:

A safety factor on the capacitor voltage will be good practice. Lets use SF as 1.5, So the cap design voltage will be 1500Vpk.

1- assuming that are some small air bubbles 0.1mm thick inside the dielectric, and the bubble air ionizing gradient as 9000/mm. (corona starting voltage)


2- L2=(E/G1-L1)*(K2/K1)

were L2= paper thicness
E= applied pk voltage on the cap = 1500V
G1 = air max gradient starting ionizing
L1= air bubble thickness = 0.1mm
K1= air buble dielectric constant =1
K2 = paper dielectric constant = 3

L2=(1500/9000 - 0.1) * (3/1) = 0.2mm

The minimal paper thickness to be 0.2mm.

Lets use 2 sheet of paper, total dielectric thickness as 0.2mm.

Area of one aluminum electrode (flat electrodes):
C = 8.854 * K * A * (N-1) / D
A = C*D /[ 8.854 *K*(n-1)]
A = 10000000 * 0.0002 / [8.854 *3*(2-1)]
A = 75.3m2
But the cap has coiled electrodes, so each electrode foil to be 37.65 square meter .

Assuming the foil wide as 300mm, and usefull wide as 280mm, each capacitor plate dimension will be 0.28m x 134m.

The waxed paper dielectric shall have similar dimensions.
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