Hello
When you say the amp 'trips' what exactly do you mean? Does it revert to standby? Does it trip an MCB circuit breaker on the distribution board or does it trip the Earth Leakage Circuit Breaker (ELCB or RCD)? on the same board.
The first option often happens when compact fluorescent lamps interfere with the remote control receiver in the amp (if that is, it has one). Cover the sensor and see what happens.
To trip an MCB would require a substantial overload. These devices sense excessive current demand and trip out when the rating is exceeded. The MCB may be faulty, especially if the amp is otherwise working normally.
ELCB's can nuisance trip. An ELCB detects an imbalance between the line and neutral currents, in this case feeding the mains transformer in the unit. Any current imbalance above a certain threshold (usually 30mA) will cause the ELCB to trip. The stray current is leaking to earth so if it is this, it seems likely that there is an earth leakage fault within the unit, probably in the mains transformer.
Screening speaker wires is futile unless of course the common mode rejection ratio of the amplifier circuits is hopeless and/or you live next to a 10kW ERP transmitter!
Filters in equipment and particularly in extension leads designed to protect computers against supply spikes, can cause tripping of ELCB's because the means of filtration is of necessity, a leakage path in itself.