Here are the bare bones plans for making a Tesla coil. Note that many absolutely essential safety factor parts are not shown, for simplicity of the schematic.
1) Current limiting
is only necessary for other transformers than neon sign transformers or transformers that do not have internal current limiting. A PFC capacitor on the mains side can act as “current limiting” to some extent. Otherwise, use resistive or additional inductive ballast (a MOT in series with shorted secondary winding).
2) Power factor correction – PFC
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