Induction heating 3.5 - 10 kVA ?

I'm thinking of an induction melting furnace.

My idea is

1. 3 phase diode rect, optional 1 phase
2. Big capacitor as power source
3. Big IGBT full bridge for example any as 2x CM400du-12F 600V 400A
4. H bridge works over resonant inductor L1 to isolation transformer T1 20:1
5. Sec of T1 is one thread of water cooled Cu 6mm pipe, this pipe is too 10 thread of heating inductor L2
6. L2 and || resonant capacitor C3 make resonant parallel LC

H bridge is drived as DC-DC stage: full-bridge phase-shifted ZVS
The control electronics automatic tunnig frequency of switching on resonant frequency when is on Voltage sense max voltage.
IGBT is over drive transformer any MCU as ST32F334 with HRTIM as full digital control. All design on resonant frequency about 100kHz

I would rather expect a series capacitor compensating the transformer leakage inductance than a series inductor.

I thing No, this works as resonant converter with serial or parallel sesonance between induction heating inductor and serial or parallel big current capacitor.
Her is example practical realization serial resonant



and parallel resonant

As far as I see, there's no series resonance inductor L1 in either setup. That's of course feasible if T1 leakage is small and compensated along with the output circuit.

In any case, you don't want to artificially increase T1 leakage inductance. What should L1 resonate with?

Oh, we're talking about something else.
L1 is probably missing called resonating and should be called serial induction.
Described **broken link removed**
On second side her is on 30KVA used serial LC on secondary side and L1 (Ls) with Cp not used.
I confess, I do not understand much,
I understand it, L1 (Ls) is used for seting Z total and this is what we can influence maximum power of induction heating.

I do not help, but have question
in Full Bridge Resonant Inverter For Induction Heating Applications.pdf is on page 70 (5) formula Io=(LS/L)*Is*Cos Fi
Io is current over heating inductor
Ls is serial inductor on primary side LS=5nH
L is heating inductor L=1,6iH
Is is current over Ls for example 10A
if cos Fi =1
Is for example set on 10A
Io=5E-9/1,6E6 *10=0,03125A
Which will come strange to me?