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4hv.org :: Forums :: High Voltage
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CW multiplier output power

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Linas
Thu Mar 10 2011, 06:37AM Print
Linas Registered Member #1143 Joined: Sun Nov 25 2007, 04:55PM
Location: Vilnius, Lithuania
Posts: 721
Hello.
I am trying to make 100kv voltage multiplier for x ray tube. I made one with 20kv 20mA diodes, but output is just 50kv (n=8) with 10kv input. I started to think that diodes are too weak for 1kw operation. So i get 200 UF4007. So now i need formula for output power calculation to get 100kv 10mA. (power calculation is to determinate capacitors for this multiplier)
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Wolfram
Thu Mar 10 2011, 10:41AM
Wolfram Registered Member #33 Joined: Sat Feb 04 2006, 01:31PM
Location: Norway
Posts: 971
The most important question is, what is your operating frequency?

Also, the output current depends on how much voltage drop you can tolerate, there are formulas for calculating the voltage drop with a given input voltage and output current and number of stages Link2

It is often more practical to simulate the multiplier, for example in LTSpice. It's especially important if the input waveform is not a sine wave, because the above formula assumes that the input is a sine wave.
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Linas
Thu Mar 10 2011, 07:57PM
Linas Registered Member #1143 Joined: Sun Nov 25 2007, 04:55PM
Location: Vilnius, Lithuania
Posts: 721
well, frequency is 50KHz
Power supply can go up 1KW, but i don't know voltage drop working with 5-8n multiplier
Thanks for link smile
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Dr. ISOTOP
Thu Mar 10 2011, 08:01PM
Dr. ISOTOP Registered Member #2919 Joined: Fri Jun 11 2010, 06:30PM
Location: Cambridge, MA
Posts: 652
What is your stage capacitance?
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Adam Munich
Thu Mar 10 2011, 11:33PM
Adam Munich Registered Member #2893 Joined: Tue Jun 01 2010, 09:25PM
Location: Cali-forn. i. a.
Posts: 2242

Output Voltage:
Eout = Ein * √2 * n

Eout is the output voltage
Ein is the RMS input voltage
n is the number of stages in the multiplier


Sag under load:
Edrop = I / ( f * C ) * (2/3 * n ³ + n ²/2 - n /6)

Edrop is the voltage drop
I is the current drawn in amperes
f is the frequency in hertz
n is the number of stages
C is the size of the capacitors used in farads


Ripple under load:
Eripple = I / ( f * C ) * n * (n +1)/2

Eripple is the voltage ripple
I is the current drawn in amperes
f is the frequency in hertz
n is the number of stages
C is the size of the capacitors used in farads

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James
Fri Mar 11 2011, 03:04AM
James Registered Member #3610 Joined: Thu Jan 13 2011, 03:29AM
Location: Seattle, WA
Posts: 506
I've seen multipliers used in high frequency dental xray heads. The output sags greatly under load, so closed loop control is needed. The anode voltage is sampled via a 200M resistor and fed back to the controller which drives the transformer harder as load (and sag) increases. Sag is reduced as frequency and stage capacitance is increased, but it will always be there. Your numbers sound pretty close to what I'd expect, crank up the drive.
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