JAJU844 August 2022
For a continuous sinusoidal output driving a purely resistive load referenced to ground, the internal average power dissipated (POUT(AVG)) in the output transistors of an amplifier can be calculated by integrating the sinusoid for half a cycle and taking the average. Equation 11 uses the positive half-cycle to describe the internal average power dissipation of the driver amplifier when driving a continuous sinusoidal output into a purely resistive ground-referenced load.
As VOUT is sinusoidal in this case, it can be defined by Equation 12.
where
In a typical power calculation, the output voltage is the only variable term in the integration, and the remainder of the terms are constant. For the driver amplifier in this design, Vcc is also variable, but because the power supplies are bootstrapped to the output voltage, Vcc can be written simply in terms of the output voltage as in Equation 3. Combining Equation 11, Equation 12, and Equation 3, integrating across the positive half-cycle (0 to π), and dividing by π for averaging, results in Equation 13.
Including the quiescent power consumption defined in Equation 6 with Equation 13 produces the total average power dissipation for a single amplifier driving a sinusoid into a purely resistive load, Equation 14.
Figure 2-10 shows the internal average power dissipation as a function of the peak output voltage (Vp) for various load resistances (RL). The maximum internal average power dissipation occurs when Vp = 2 Vs/π resulting in Equation 15.