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Without zeners, the resonant tank can swing the gate voltage to 30V+. That will puncture the gate oxide instantly. Use 15V bidirectional (back-to-back) zeners. The Schematic (The Classic IGBT ZVS) Here is the proven recipe for a 200W+ IGBT ZVS driver:
They get hot. They explode under slight over-voltage. And if your gate drive is weak, they simply refuse to switch fast.