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AN2644 Datasheet(PDF) 8 Page - STMicroelectronics

Part # AN2644
Description  An introduction to LLC resonant
PDF  64 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN2644 Datasheet(HTML) 8 Page - STMicroelectronics

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The LLC resonant half-bridge converter
AN2644
8/64
For certain reasons that will be clarified in the following sections, the LLC resonant
converter is normally operated in the region where the input impedance of the resonant tank
has inductive nature, i.e. it increases with frequency. This implies that power flow can be
controlled by changing the operating frequency of the converter in such a way that a
reduced power demand from the load produces a frequency rise, while an increased power
demand causes a frequency reduction.
The Half-bridge Driver switches the two power MOSFETs Q1 and Q2 on and off in phase
opposition symmetrically, that is, for exactly the same time. This is commonly referred to as
"50% duty cycle" operation even if the conduction time of either power MOSFET is slightly
shorter than 50% of the switching period. In fact, a small deadtime is inserted between the
turn-off of either switch and the turn-on of the complementary one. The role of this deadtime
is essential for the operation of the converter. It goes beyond ensuring that Q1 and Q2 will
never cross-conduct and will be clarified in the next sections as well. For the moment it will
be neglected, and the voltage applied to the resonant tank will be a square-wave with 50%
duty cycle that swings all the way from 0 to Vin. Before going any further, however, it is
important to make one concept clear.
Figure 4.
LLC resonant half-bridge with split resonant capacitor
A few paragraphs above, the impedance of the tank circuit was mentioned. Impedance is a
concept related to linear circuits under sinusoidal excitation, whereas in this case the
excitation voltage is a square wave.
However, as a consequence of the selective nature of resonant tanks, most power
processing properties of resonant converters are associated with the fundamental
component of the Fourier expansion of voltages and currents in the circuit. This applies in
particular to the input square wave and is the foundation of the First Harmonic
Approximation (FHA) modeling methodology presented in [2] as a general approach and
used in [4] and [5] for the LLC resonant converter specifically. This approach justifies the
usage of the concept of impedance as well as those coming from complex ac circuit
analysis.
Coming back to the input square wave excitation, it has a DC component equal to Vin/2. In
the LLC resonant tank the resonant capacitor Cr is in series to the voltage source and under
steady state conditions the average voltage across inductors must be zero. As a result, the
DC component Vin/2 of the input voltage must be found across Cr which consequently plays
the double role of resonant capacitor and DC blocking capacitor.
It is possible to see, especially at higher power levels, a slightly modified version of the LLC
resonant half-bridge converter, where the resonant capacitor is split as illustrated in
Figure 4. This configuration can be useful to reduce the current stress in each capacitor
Vin
Cr / 2
Ls
Lp
Q1
Q2
a:1:1
Cr / 2
Vin
Cr / 2
Ls
Lp
Q1
Q2
a:1:1
Cr / 2



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