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IRF540 has 100 V Vds rating and can't work. For IRF840, it's essential that the gate soure voltage rises fast enough, e.g. < 1 ms, otherwise the safe operation area would be exceeded. Lamp inrush current of about 3 A won't be a problem if the transistor is switched fast enough.
what does floating vgs mean?How did you generate Vgs when the transistor damage was observed? Can it be that slow rising or even floating Vgs occured?