Is the mains voltage stable? I have had similar issues (with different keyboards) when performing at outdoor festivals where the power was supplied by generators. A loud bass guitar note would cause the mains voltage to drop, which would drive my keyboards crazy. A Furman power conditioner (that put out a steady voltage no matter what the incoming voltage was) cured the problem.
And if the mains is good it could just be a faulty switch or switch that needs cleaning. You can confirm this with with a meter in continuity mode (just measure resistance between the pin on the mains plug to the output pin on the switch. Do this with the synth not connected to the mains obviously