What I do to measure (and I`m guessing this is the most common way) is put a 1 (or 10 or 100) ohm resistor inline with the Vdd power
supply and measure the current through it and use the power equation.
for power consumption calculation, you can take the average of the current into the amplifier supply pin (use a 0V vdc in series with that pin) and multiply by your voltage supply.