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PRELIMINARY BCM352F440T330A00 - BCM352T440T330A00
3.0 POWER, VOLTAGE, EFFICIENCY RELATIONSHIPS
Because of the high frequency, fully resonant SAC topology,
power dissipation and overall conversion efficiency of BCM
converters can be estimated as shown below.
INPUT
OUTPUT
POWER
Key relationships to be considered are the following:
1. Transfer Function
POWER
a. No load condition
V OUT = V IN ? K
Eq. 1
P NL
P R OUT
Figure 15 – Power transfer diagram
Where K (transformer turns ratio) is constant
for each part number
b. Loaded condition
V OUT = Vin ? K – I OUT ? R OUT
Eq. 2
2. Dissipated Power
The two main terms of power losses in the
BCM module are:
- No load power dissipation (P NL ) defined as the power
used to power up the module with an enabled power
train at no load.
- Resistive loss (R OUT ) refers to the power loss across
the BCM modeled as pure resistive impedance.
P DISSIPATED ~~ P NL + P ROUT
Eq. 3
Therefore, with reference to the diagram shown in Figure 15
P OUT = P IN – P DISSIPATED = P IN – P NL – P ROUT
Eq. 4
Notice that R OUT is temperature and input voltage dependent
and P NL is temperature dependent (See Figure 15).
The above relations can be combined to calculate the overall module efficiency:
η =
P OUT
P IN
=
P IN – P NL – P ROUT
P IN
=
V IN ? I IN – P NL – (I OUT ) 2 ? R OU T
V IN ? I IN
=1–
(
P NL + (I OUT ) 2 ? R OUT
V IN ? I IN
)
Eq. 5
Rev. 1.7
V?I CHIP INC. (A VICOR COMPANY) 25 FRONTAGE RD. ANDOVER, MA 01810 800-735-6200
12/2010
Page 11 of 17
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