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MBCM270F450M270A00 - MBCM270T450M270A00
9.0 SINE AMPLITUDE CONVERTER TM POINT OF LOAD CONVERSION
1.7 nH
L L IN IN = = 5 nH
I I OUT
5.7 nH
OUT
R OUT
L OUT = 500 pH
+
V IN
C C IN IN
R CIN IN
9.2 m Ω
0.1 μF
I I Q Q
26 mA
1/6 ? I OUT
+
–
V ? I
+
–
50 Ω
1/6 ? V IN
122 m Ω
C OUT
R COUT
310 μ Ω
4.8 μF
+
V OUT
K
–
Figure 14 – V ? I Chip TM AC model
The Sine Amplitude Converter (SAC TM ) uses a high frequency
resonant tank to move energy from input to output. (The
resonant tank is formed by Cr and leakage inductance Lr in the
power transformer windings as shown in the BCM TM module
Block Diagram. See Section 8). The resonant LC tank, operated
at high frequency, is amplitude modulated as a function of
input voltage and output current. A small amount of
capacitance embedded in the input and output stages of the
module is sufficient for full functionality and is key to achieving
power density.
The MBCM270F450M270A00 SAC can be simplified into the
preceeding model.
At no load:
–
R OUT represents the impedance of the SAC, and is a function of
the R DSON of the input and output MOSFETs and the winding
resistance of the power transformer. I Q represents the
quiescent current of the SAC control, gate drive circuitry, and
core losses.
The use of DC voltage transformation provides additional
interesting attributes. Assuming that R OUT = 0 Ω and I Q = 0 A,
Eq. (3) now becomes Eq. (1) and is essentially load
independent, resistor R is now placed in series with V IN as
shown in Figure 15.
R
SAC
V OUT = V IN ? K
(1)
IN
Vin
+
–
SAC TM
1/6
K K = = 1/32
OUT
Vout
K represents the “turns ratio” of the SAC.
Rearranging Eq (1):
Figure 15 – K = 1/6 Sine Amplitude Converter TM with series
K=
V OUT
V IN
(2)
input resistor
The relationship between V IN and V OUT becomes:
In the presence of load, V OUT is represented by:
V OUT = (V IN – I IN ? R) ? K
(5)
V OUT = V IN ? K – I OUT ? R OUT
and I OUT is represented by:
(3)
Substituting the simplified version of Eq. (4)
(I Q is assumed = 0 A) into Eq. (5) yields:
I OUT = IN
I – I Q
K
(4)
V OUT = V IN ? K – I OUT ? R ? K 2
(6)
Rev. 1.1
V?I CHIP CORP. (A VICOR COMPANY) 25 FRONTAGE RD. ANDOVER, MA 01810 800-735-6200
1/2011
Page 12 of 19
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