I've been looking for Tesla coil designs in the 2-kW input range but it's surprisingly hard to find just the design and not someone selling a prebuilt coil. Does anyone have any recommendations for designs that are good for starting out, where it is relatively simple so there are as few points of failure as possible. Thank you.

Thank you for your advice. It definitely was not a good idea to not try to build and design for the first time Both at once so, I probably will end up building a pre-made design. That being said I am still very invested in trying to figure out why my design did not work and then learning from that.

The way I got to the coupling for the primary transformer was by starting with the wattage and calculating what the spark length would be. From there I used the distance the electricity would have to jump to find the volts. I worked backwards knowing that would be the end voltage I used the recommended coupling from https://kaizerpowerelectronics.dk/tesla-coils/drsstc-design-guide/secondary-coil/ to find the voltage for the primary circuit. I had to figure out the coupling of the primary transformer from the difference between the circuit and my source which in my case where is modeled off of a standard American outlet. 

MRMILSTAR was asking about the capacitance I got there from using the recommended size for the primary coil and the recommended resonant frequency to find the top load. I then used the coupling to get the primary resonant circuit.   

 

 

Thank you very much for your responses but I am still a little confused. It sounds like it's not possible to have two coils with the same number of turns and different inductances but in the equation for inductance (or at least the one that I have been using) it has more factors contributing than only the number of turns. L = (n^2*r^2)/(9r+10h) Where n = umbers of terns, r = Radius, H = height. Given this equation, a coil with h = 6, n = 10, d = 6 would have and inductance of 10.244 uH, while a coil with h = 6, n = 10, d = 60 would have and inductance of 272.727 uH. As well attached should be an image illustrating the initial question. 

 

Like I said above I'm trying to find the impedance of a circuit which requires me to know the resistance of the circuit. But my problem is I don't know whether that means the output or input resistance. 

Thank you for your response. I am still a bit confused about two things.

 First what you mean by “After a number of cycles, all of this energy will be transferred to the secondary tank.” The way that I currently understand resonant circuits, the capacitor is entirely discharged within one cycle and then recharged at the beginning of the next. Is there a different cycle that you're referring to then the resident frequency?

2nd how is the energy returning from the secondary tank back to the primary tank. I know that the energy can go from the secondary tank to the secondary coil via the ground. But how is the energy traveling backwards into the previous capacity?

Is that a spark gap TC you want to build or a DRSSTC or SSTC? The design choices differ somewhat for each type. Wrt to coupling: Usually more is better. It's an engineering challenge to avoid racing sparks or flashovers that often accompany large coupling values. Davekni e.g. has mapped out some extremes: https://highvoltageforum.net/index.php?topic=1268.msg9305#msg9305
But that requires a lot of work and knowhow.

I'm just starting out so I'm making a mini spark gap Tesla coil

How do you calculate the correct coupling Between the primary and secondary coils for a solid state tesla coil?

I've heard around a lot that spark length he's based off of wattage. But if that is true Why does it matter what transformer is used? Because a transformer just changes the voltage to amperage ratio it never actually changes the wattage. I feel like I'm missing something pretty major here.

Hi i am an aspiring engineer trying to learn on my own. Although while researching i have not been abel to find an equation to calculate inductance of a coil as well as a spiral. dose anyone hear know of such a calculation or a good resource where i could find one. Thank you.