The grid power is not stable since 30hours ago, it fluctuates up and down and it's affecting my rig so I am thinking, is a stabilizer safe for a mining rig?
A stabilizer primarily functions to keep the power going into an equipment stable to prevent electrical damage to them. Your number one goal is to protect your equipment life, hence since you are already thinking in the right direction which is to acquire an appropriate stabilizer, I support that you should for the time being suspend all mining operations until you can get the stabilizer, so your equipment will not be incurring little damages that will later amount to much. Even if the power grid is fixed, the stabilizer should still be a priority.