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Re: [TCML] DC resonance charging reactor



Bert, I really appreciate your taking time to guide me to right answers. My deep 
thank!
Rechie stated in his site the lake of his experience in DC based TC, though I 
also highly appreciate his effort. I was trying to replicate his basic circuit @ 
BPS=1200. My practice confirms your explanations. Cdc, sub-sequentially Ctank at 
such high break rate need much more capable source than NST. At present, aside 
of NST or MOT, am trying to make use of induction coil (Ruhmkorff coil) as a 
possible source of pulsed DC to supply a 30 kW battery driven TC. 

Thank you again for the references you gave.

Ibrahim




________________________________
From: Bert Hickman <bert.hickman@xxxxxxxxxx>
To: Tesla Coil Mailing List <tesla@xxxxxxxxxx>
Sent: Tue, September 28, 2010 7:32:52 AM
Subject: Re: [TCML] DC resonance charging reactor

Ibrahim Khaleel wrote:
> Hi all,
>
> Thanks to fleps&  Roger for the info. Still need to clarify, if anybody would 
>confirm the equations stated in
> http://www.richieburnett.co.uk/dcreschg.html#resonant ?

Most of the DC resonant circuit equations shown on Richie's site are exact. 
However, the equation for the peak tank cap voltage (Vpk = 2*Vdc) is indeed only 
an approximation.

A brief history:
A huge research effort was conducted during the 2nd World War to develop 
efficient methods of high voltage capacitor charging to support pulsed radar 
systems. This led to the study and development of AC and DC resonant charging 
circuits and their associated design equations. The best treatment of resonant 
charging circuits (as well as excellent discussions on Pulse Forming Networks 
(PFN's), charging choke design and testing, fixed and rotary spark gap design 
considerations, and thyratrons) can be found in the book "Pulse Generators" by 
Glasoe and Lebacqz. Even though it was originally written in 1948, this title is 
still referenced by virtually all modern texts on pulsed power and radar systems 
design. The book can be purchased via Amazon or other used book sources, or it 
can be downloaded from MIT:

http://cer.ucsd.edu/~james/notes/MIT%20OpenCourseWare/MIT%20Radiation%20Lab/PREF5.PDF

http://cer.ucsd.edu/~james/notes/MIT%20OpenCourseWare/MIT%20Radiation%20Lab/V5.PDF


> Take the design example Richie is giving on his page:
> Lp=5.1H and Cp=80nF the RMS current Irms=886 mA
> I could not find answers for 2 questions:
>     1. The required current would      not be allowed by his NST (10 kV-100 
>mA).
> Does that means NST is not      usable for DC resonance charging reactor?
> (shunts limiting the current)

Richie's design parameters were for an 8 kW system, so a single 1 kW NST will 
not be able to provide sufficient power. However, NST's and NST farms CAN be 
used within DC resonant charging systems as long as one is willing to accept 
some performance penalties. The DC storage capacitor can briefly supply much 
higher peak current than the NST during tank capacitor charging. The problem is 
that internal current limiting within the NST can prevent the DC storage cap 
from getting fully recharged on each half cycle of the supply mains. This causes 
the DC rail voltage to sag, reducing the TC bang size during continued 
operation. And, voltage sag becomes progressively worse with increasing break 
rates.

The magnitude and rate of voltage sag can be reduced by increasing the number of 
NST's in the bank and, to a lesser degree, by increasing the value of the DC 
storage capacitor. However, better performance is obtained by using a low 
impedance single-phase plate, MOT, or distribution transformer. And, best 
performance (particularly at high break rates) is obtained by using a 
three-phase HV transformer bank and a 6-pulse or 12-pulse HV rectifier, or by 
driving a suitable HV transformer from a higher frequency single-phase source.

> 
>     1. How "We know that the      peak capacitor voltage will be twice the DC
> supply voltage."? What      would be the basic formula for this statement?

It isn't for real world systems, but it can be fairly close. On the referenced 
page on Richie's site, the fourth equation down (Vpk = 2*Vdc) actually assumes a 
"perfect" DC resonant charging system. Specifically, it assumes that the voltage 
on the storage cap does not change during the charging cycle (that Cdc is MUCH 
larger than Ctank or we have a very "stiff" DC source), that the charging 
inductor resistance is negligible, and that the charging inductor does not 
saturate during the entire charging cycle. More exact design formulas (that take 
some of these real world complexities into consideration) can be found in 
chapter 9 of Glasoe's "Pulse generators" book. When these effects are taken into 
account, the actual peak tank voltage can be significantly less than 2*Vdc.

Real world results:
Depending on the quality of the components, selected values of Cdc, Ctank, L and 
R (of charging choke), and "stiffness" of the HV source, TC hobbyists will 
actually see initial tank cap peak voltages that are in the range of 1.7 - 
1.9*Vdc instead of the ideal 2*Vdc. However, these may be further reduced if the 
DC supply voltage sags under heavier loading.

> 
> RGDS.
> 

Bert
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