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4hv.org :: Forums :: Tesla Coils
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DRSSTC-2 Design Review (Updated Specs 8/28/09)

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Steve Conner
Wed Aug 26 2009, 09:02AM
Steve Conner Registered Member #30 Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Angstrom wrote ...

I think he meant that in general the impedance of a capacitor goes down with increasing operating frequency (think high pass filter)... but in our special case (DRSSTC resonant circuit) you are altering the properties of the capacitor (capacitance) which changes the resonant frequency which, due to feedback, changes the operating frequency in the opposite direction. The impedance also goes in the opposite direction.

|Zc| = 1/(2pi*f*C)

The general case would be true if we were changing the frequency elsewhere (such as primary coil).

No, this is also wrong. The impedance of a tank circuit is sqrt(L/C), therefore increasing C will lower the impedance as well as lowering the resonant frequency. Increasing L will increase the impedance and lower the frequency, and so on.

As for designing a full-wave doubler: The diodes see a reverse voltage equal to the total DC output voltage, and an average current equal to the DC output current. The RMS diode current is Lord knows what. My old doubler would pull nearly 30A RMS from a 240V line, while delivering 7A at 600V DC. So that's something like 21A RMS per diode. I used smallish capacitors of only 1200uF and a series inductor to improve the power factor. With DRSSTC-sized capacitors (storing 10x your bang energy) and no PFC choke, the RMS current would probably have been even higher.

I used a 1200V, 92A dual SCR brick with a 20 amp circuit breaker for protection. Link2
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Angstrom
Wed Aug 26 2009, 01:23PM
Angstrom Registered Member #1900 Joined: Fri Jan 02 2009, 06:44PM
Location: Texas
Posts: 29
Steve McConner wrote ...

Angstrom wrote ...

I think he meant that in general the impedance of a capacitor goes down with increasing operating frequency (think high pass filter)... but in our special case (DRSSTC resonant circuit) you are altering the properties of the capacitor (capacitance) which changes the resonant frequency which, due to feedback, changes the operating frequency in the opposite direction. The impedance also goes in the opposite direction.

|Zc| = 1/(2pi*f*C)

The general case would be true if we were changing the frequency elsewhere (such as primary coil).

No, this is also wrong. The impedance of a tank circuit is sqrt(L/C), therefore increasing C will lower the impedance as well as lowering the resonant frequency. Increasing L will increase the impedance and lower the frequency, and so on.

Sure... but when it comes to calculating the voltage rating of the tank cap only... you only need to consider the Impedance (or reactance if you like) of the cap, not the whole tank circuit.
Unless i'm going crazy...
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Steve Conner
Wed Aug 26 2009, 01:57PM
Steve Conner Registered Member #30 Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Yes, you are going crazy. When a tank circuit is operating at its resonant frequency, the impedance of the capacitor and the impedance of the inductor are the same, so we call this value the characteristic impedance of the tank circuit.

That's one definition of resonance, in fact: the frequency where the inductive and capacitive reactances, being the same magnitude but opposite signs, cancel each other out leaving only the resistance of the conductors.

To be sure, a DRSSTC's primary tank doesn't operate quite at its resonant frequency, because of frequency splitting from the two coupled tank circuits. But the difference is only 5-10 percent.
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Angstrom
Wed Aug 26 2009, 03:48PM
Angstrom Registered Member #1900 Joined: Fri Jan 02 2009, 06:44PM
Location: Texas
Posts: 29
Steve McConner wrote ...

Yes, you are going crazy. When a tank circuit is operating at its resonant frequency, the impedance of the capacitor and the impedance of the inductor are the same, so we call this value the characteristic impedance of the tank circuit.

That's one definition of resonance, in fact: the frequency where the inductive and capacitive reactances, being the same magnitude but opposite signs, cancel each other out leaving only the resistance of the conductors.

To be sure, a DRSSTC's primary tank doesn't operate quite at its resonant frequency, because of frequency splitting from the two coupled tank circuits. But the difference is only 5-10 percent.

I know this... but the cap still has this characteristic impedance (even though it cancels when the tank circuit is at resonance), and you use this impedance to calculate the DC rating of the cap. Right? That is all I am wanting to confirm here...

I would LOVE it if I were wrong... this method always seems to yield very high voltages (and therefore very expensive MMCs). Yet some DRSSTCs go a bit lower than this. And they most certainly don't go as high as 15kVDC rating.
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Austin
Wed Aug 26 2009, 03:51PM
Austin Registered Member #1169 Joined: Wed Dec 12 2007, 09:16AM
Location: Portland OR
Posts: 251
Steve McConner wrote ...

Yes, you are going crazy. When a tank circuit is operating at its resonant frequency, the impedance of the capacitor and the impedance of the inductor are the same, so we call this value the characteristic impedance of the tank circuit.

That's one definition of resonance, in fact: the frequency where the inductive and capacitive reactances, being the same magnitude but opposite signs, cancel each other out leaving only the resistance of the conductors.

To be sure, a DRSSTC's primary tank doesn't operate quite at its resonant frequency, because of frequency splitting from the two coupled tank circuits. But the difference is only 5-10 percent.

Still sorta confused...
the capacitive reactance (measured in ohms) decreases with increased capacitance correct?

For example if a secondary LC is resonating at 39khz

a .5uf MMC has a reactance of 8.1 ohms and a voltage peak of 9698 at 1200amps
a .75uf MMC has a reactance of 5.425 ohms and a voltage peak of 6510 at 1200 amps
A 1uf MMC has a reactance of 4.039 ohms and a voltage peak of 4846.8 at 1200 amps

Changing the capacitance of the MMC does change the resonant frequency of the primary but since the secondary might be considered "fixed", the only thing left to change is the physical dimensions of the primary wire. no big deal right?

I must be missing something because according to this logic HUGE capacitance tanks lowers the overall peak voltage seen across the capacitors. which also reduces the total of of caps needed as shown below.

For example... If i have a CDE 942c series cap rated at .15uf and 2000VDC / 500VAC (assuming RMS)
That means the peak AC voltage would be 707Vpk, so...

707Vpk X 14 = 9898volts, which is more than the needed 9698 voltage calculated above... but it takes 14 caps in series X 47 stings in parallel to equal the needed .5uf capacitance. This equals a total of 658 caps?

Where as if I compare it to the 1uf rated cap tank...
707Vpk X 7 = 4949volts, which is more than the needed 4846 volts calculated above... When i take 7 caps in series X 47 parallel strings in parallel to equal the needed 1uf capacitance. this equals a total of 329 caps?

*phew* that's a lot of number crunching... but Is it correct?


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StevenCaton
Wed Aug 26 2009, 05:51PM
StevenCaton Registered Member #1845 Joined: Fri Dec 05 2008, 05:38AM
Location: California
Posts: 211
Still sorta confused...
the capacitive reactance (measured in ohms) decreases with increased capacitance correct?
Yes, if you only change the cap value and don't mess with the AC frequency then it would decrease.
Changing the capacitance of the MMC does change the resonant frequency of the primary but since the secondary might be considered "fixed", the only thing left to change is the physical dimensions of the primary wire. no big deal right?
Well, if you just change the mmc value, it will change the resonant frequency of the entire tank circuit, so you'll have to then lose some primary turns to maintain the same frequency.

As for the rest of what you wrote, I didn't see anything that looked wrong as far as the numbers went. (I hope so) However, one problem that would probably arise from the "Lets have a huge mmc value to save money because we'll need less caps because there will be less voltage" idea would be that it would make your surge impedance incredibly low and you'd be hitting very large currents way to fast in the tank circuit.
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Austin
Wed Aug 26 2009, 06:15PM
Austin Registered Member #1169 Joined: Wed Dec 12 2007, 09:16AM
Location: Portland OR
Posts: 251
SteveC wrote ...

Still sorta confused...
the capacitive reactance (measured in ohms) decreases with increased capacitance correct?
Yes, if you only change the cap value and don't mess with the AC frequency then it would decrease.
Changing the capacitance of the MMC does change the resonant frequency of the primary but since the secondary might be considered "fixed", the only thing left to change is the physical dimensions of the primary wire. no big deal right?
Well, if you just change the mmc value, it will change the resonant frequency of the entire tank circuit, so you'll have to then lose some primary turns to maintain the same frequency.

As for the rest of what you wrote, I didn't see anything that looked wrong as far as the numbers went. (I hope so) However, one problem that would probably arise from the "Lets have a huge mmc value to save money because we'll need less caps because there will be less voltage" idea would be that it would make your surge impedance incredibly low and you'd be hitting very large currents way to fast in the tank circuit.

So, after doing some brief research on surge impedance I have found that...
If the impedance is too low it will reduce the coils efficiency
If the impedance is too high it will reduce the output voltage
also. as the tank capacitance increases so does the energy transfer time between the secondary and the primary


How is the efficiency of a coil measured? is it the total time it takes to transfer the energy from the secondary to the primary? or losses due to heat dissipation?

The question still remains.... What is the optimum sized tank capacitance?


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Steve Conner
Thu Aug 27 2009, 09:09AM
Steve Conner Registered Member #30 Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Unfortunately there's no definitive answer to that question yet. There never will be until someone comes up with a computer model of the electrical behaviour of Tesla coil streamers.

I used to recommend a loaded Q of 10, which means you choose the impedance of your cap such that it drops 10 times the inverter's output voltage at the resonant frequency of your secondary.

But Steve Ward has lately reported that his big coils work somewhat better with considerably more capacitance than this. He claims that the larger capacitor can have a lower voltage rating, so the overall spend on capacitors is less for the same spark output, and also that the system gives about 10% more spark output for the same kW input.

Which by the way is how you measure the efficiency: spark length in inches divided by the square root of power consumption in watts gives you the "Freau factor", and the number to beat is something like 1.7. You might prefer some other metric, like Youtube views per hundred dollars spent on plexiglass, or whatever.

He uses a special tuning method, tuning primary and secondary to the same frequency and taking advantage of the resulting notches to achieve complete energy transfer in as little as 5 cycles. That's all I know unfortunately.

My own experience is that DRSSTCs work reasonably well with a wide range of tank capacitances, but bigger seems to be a bit better. I've tried everything from 0.01uF to 0.1uF in my own tabletop-sized coils, and 0.1 was definitely best.
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Austin
Fri Aug 28 2009, 07:42PM
Austin Registered Member #1169 Joined: Wed Dec 12 2007, 09:16AM
Location: Portland OR
Posts: 251
Steve McConner wrote ...

Unfortunately there's no definitive answer to that question yet. There never will be until someone comes up with a computer model of the electrical behaviour of Tesla coil streamers.

I used to recommend a loaded Q of 10, which means you choose the impedance of your cap such that it drops 10 times the inverter's output voltage at the resonant frequency of your secondary.

But Steve Ward has lately reported that his big coils work somewhat better with considerably more capacitance than this. He claims that the larger capacitor can have a lower voltage rating, so the overall spend on capacitors is less for the same spark output, and also that the system gives about 10% more spark output for the same kW input.

Which by the way is how you measure the efficiency: spark length in inches divided by the square root of power consumption in watts gives you the "Freau factor", and the number to beat is something like 1.7. You might prefer some other metric, like Youtube views per hundred dollars spent on plexiglass, or whatever.

He uses a special tuning method, tuning primary and secondary to the same frequency and taking advantage of the resulting notches to achieve complete energy transfer in as little as 5 cycles. That's all I know unfortunately.

My own experience is that DRSSTCs work reasonably well with a wide range of tank capacitances, but bigger seems to be a bit better. I've tried everything from 0.01uF to 0.1uF in my own tabletop-sized coils, and 0.1 was definitely best.

Alright guys,

After playing around with some different tank cap sizes, I decided to take Steve's advice and make a large tank size (1uf). But anyways, I tuned my secondary and primary to 40khz (in JAVATC) with a tank size of 1uf. I attached photos to this E-mail.

These will be my final specs unless you guys seem something wrong.

Secondary Specs
Secondary length = 40"
Secondary Diameter = 10"
#26 AWG turns = 2210 <--- I think this wire might be a bit thin?
Topload = 10" x 45"
secondary resonant freq = 40kHz
Aspect ratio = 4:1
Coupling = .2k
# of 1/2 cycles for energy transfer = 5
Transfer time = 61uS (not sure if this acceptable)
Secondary Q = 228 (not sure if this is acceptable)

MMC Specs
Capacitance = 1uf (BIG)
Capacitance Reactance = 3.979ohms
Voltage peak at 1200amps = 4775v

12 caps in series x (500Vac x 1.41) = 8484votls (almost double the calculated voltage peak)
8 caps in parallel = .1uf exactly
Total number of caps = 96... (expensive but not bad)

High Voltage Specs (Have not decided on half bridge or full.... any advice?)
Half-bridge = 2 cm600s
DC Power = 677volts (Fullwave rectified, I would love some advice on cap size and voltage rating)
GDT driver = Daniel's ISO drivers
Modulator / driver = Daniel's resonant board

Would Steve Ward's universal driver work with this setup?

2 Input Values

2
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teravolt
Sat Aug 29 2009, 07:40AM
teravolt Registered Member #195 Joined: Fri Feb 17 2006, 08:27PM
Location: Berkeley, ca.
Posts: 1111
Hi Austin before you spend around 700$ for a large DRSSTC I recomend DR. Gigiavolts DRSSTC book

Link2

I hate to plug it but it it is one of the best descriptions of a DRSSTC I've read. the contents will be true for any DRSSTC. One of the diferances that the book won't talk about is the cm600 some of the most advanced work done with the cm600 has been done by Finn Hammer at

Link2

if you want determin the rateing if MMC go by the dc rating and peak voltage at the primary. RMS is a method for giving AC volts a DC equivalent and visavesa ie. in capacitors if you have one with 1000vdc rating you can not use it on a AC circuit of any more than 707vac because you would excied the voltage rateings of the cap. The reson for this that the peak of a signwave at 90, 270 deg. of a 707vac signwave is 1000vp. The formula for this VRMS=sin45*vp=.707*1000=707vac RMS. RMS is just a convension for dc equivalent. If you expect to see 10000Vp over the caps you will only need 5+ 2 or 3 extra in your strings will give you over voltage pertection not 12 deep. have a look on finn's Hammertone "Predikter", hear he is using 3 strings of 6 and getting 5' sparks and even less caps in this video

Link2

what makes the polypropalene caps one of the best types for teslas to use is because of there low ESR equivalent series resistance and high di/dt rateing. The reson this important is because as Steve McConner put it at resonance XL and XC cancel out and what you are left over with is the resistance of your primary inductor restance ie. refigerator tubing and the ESR in your cap bank in series with each other. Your source voltage ie. your doubler of +- 340dc divided by the resistance in the last senance plus the resistance in your igbt and doubler will be the current flow through everything at each switching. it looks like this V/R=I so Vcharge/R'dubler+ R'igbt+ R'cap+ R'indutor=primary current. this current times your XL or XC witch is the same at resonance will be your primary voltage across your caps. Some of thease values like esr can be found in the manufacture's data sheets. The currents that are projected hear are in the couple thousand amp range. Your model is only a guide line and nobody hear can tell you exactly how it will come out when it is biult and it may take alot of mesured analisis and help from others to get it going with your levle of understanding. do you have a oscilloscope,dmm,function generator,L-C meter? Steve McConner is the only one who has brought up frequency splitting. After its set up, you will need to tune your secondary frequency a little high to compansate for the detuning as the arc sets out from the tesla. as the arc sets out I have read hear that it is about 1pf for one ft. of arc

about the cm600s they have lots of delay and your control circuit may have to compinsate for troughput delay if your electronics and dead time. read and let us know what you come up with
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