Voltage requirements always depend on amperage as well. So, if you are increasing voltage by 50% then you will need to decrease the amperage accordingly. At 18v you probably do not want more than 2A.
Do note that there is a possibility that the DC barrel plug needs to be the correct size/dimensions also. Third-party PSUs will void the warranty also, but as this is a ZENmini MkII it does not really apply as its out of warranty anyway, but do keep in mind the usual underlying risks of damage etc.