Can you tell if the buzzing is still occurring whilst the motor is running...? I imagine it may be hard to hear over the noise of the motor running!
Also, without the motor running but the switch on the wall turned on ,ie, power going to the saw switch/trigger, can you still hear the buzzing?
If so, does the trigger area get slightly warm after a while?
The reason I ask these questions is, I bought an Elu 1751 a few years back and although a bit dusty, it was in really good condition. It hadn't been used for many years and had been stored in a shed somewhere. I had similar problems to what you describe and I ended up replacing the Capacitor and its been fine ever since. I don't think capacitors like a damp environment...coz when I took the old one out to replace it, there was quite a bit of condensation around the Capacitor and it looked like it had been sweating...