Yes, very often problems with Audio and Laptops can be attributed to their PSU however unlikely the problem may seem to be related to Power!. Sadly laptop manufacturers tend not to make their products P.A equipment friendly, and the Power Unit is often where any cost savings are made, so they have little or no interference suppression

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Laptops use Switching Power supplies, which means that inside the unit there are components switching on and off 50 times per second, which causes interference, both in the power, and radiated from inside the unit similar to radio waves. The wires used to carry audio, and the components inside you mixer, amp etc can act like antenna's for these waves, and pick it up and amplify it - hence where your problem is occuring (& this is also why they don't allow laptops to be used on planes!!)
There are things you can do to try and stop it
(1) Position your Laptop PSU as far away from the Audio Equipment as possible, and don't allow any audio leads to pass close to it. Even try and plug it into another socket if possible, and NOT in the same multiway adaptor as your Mixer and Amp is plugged into!
(2) Consider buying a filtered mains adaptor / plug top for your laptop PSU. These cost around £15 on the high street and have about a 50/50 chance of working. Belkin are the most effective ones to look out for. Again, only use the filtered socket for the Laptop only, sharing it with your Amp & mixer would defeat the object!.
If 2 and 3 don't solve your problem, then its time to replace the PSU. However this is still a cheaper option than a new HD, it may simply be that the PSU is badly designed, or there may be component failure, or a capacitor dryed out inside it, either way the only way for you to solve it is to replace it.
Most laptops operate using the same voltage, current etc, so it shouldn't be too difficult to find a generic which works, if you can't obtain an original part, but DO double check the spec is equal to or better than the original before parting with your money.