Class D Power Amplifier
This article intends to cover basic concepts of switching mode power amplifier, and the design of class D power amplifier.
Simple Switching Amplifier
Schematic of switching amplifier
where we have
Vdc=12π∫π−πvsw(θ) dθ=π−απVpkIdc=12π∫π−πisw(θ) dθ=απIpkAs for the fundamental components
V1=1π∫π−πvsw(θ)cosθ dθ=−2sinαπVpkI1=1π∫π−πisw(θ)cosθ dθ=2sinαπIpkMathematica code for Fourier series
1 | f[x_] := Piecewise[{{0, -a <= x <= a}, {1, x < -a}, {1, x > a}}] |
Hence, we can calculate the efficiency as
η=PrfPdc=−12V1I1VdcIdc=2sin2αα(π−α)To compare with the class A PA, we write the output power as
PUF=P1Plin=VdcIpk2sin2απ(π−α)14VdcIpk=8sin2απ(π−α)We can plot the efficiency and PUF vs. conduction angle
Efficiency and PUF vs conduction angle
1 | Eff[a_] := 2 Sin[a]^2/a/(Pi - a); |
The peak power occurs at a conduction angle of around 113 degrees. Though the structure dissipate no heat, the peak efficiency is about 81%, as some of the power is wasted in harmonic components.
Switching Amplifier with Harmonic Short
To remove harmonic components, we can place a harmonic short across the load.
Switching amplifier with harmonic short
In this case, the voltage waveform must assume a sinusoidal form.
Waveform of the switching amplifier with harmonic short
Repeat the analysis, we have
η=PrfPdc=sinααPUF=P1Plin=4sinαπIt can be plotted as
Efficiency and PUF vs conduction angle of switching amplifier with harmonic short
1 | Eff[a_] := Sin[a]/a; |
The peak power occurs at a conduction angle of 90 degrees with an efficiency of 63 %.
Class D Power Amplifier
The key point is that the current in the LCR branch is constrained to remain sinusoidal. With a sufficiently large bypass capacitor, the voltage vsw would remain Vdc when the switch is turned to A, and remain zero when turned to B.
Waveform of class D power amplifier
We have
V1=2πVdcI1=12IpkIpk=πIdcη=PrfPdc=VdcIpkπVdcIdc=1PUF=VdcIpkπ14VdcIpk=4πIt can achieve theoretically 100 % efficiency with 1 dB higher power than class A amplifier.
A realization
Reference
- S. C. Cripps. RF Power Amplifier for Wireless Communications. Artech House, 2014.
- Post link: https://triblemany.github.io/archives/358f72b0/class-d-power-amplifier.html
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