Datasheet
P
COND
= (I
OUT
2
x D)
1
3
1 +
x
'i
L
I
OUT
2
R
DSON
D =
V
OUT
+ V
D
+ V
DCR
V
IN
+ V
D
+ V
DCR
- V
SW
D =
V
OUT
+ V
D
V
IN
+ V
D
- V
SW
K =
P
OUT
P
OUT
+ P
LOSS
K =
P
OUT
P
IN
LMR10520
SNVS730B –OCTOBER 2011–REVISED APRIL 2013
www.ti.com
Calculating Efficiency, and Junction Temperature
The complete LMR10520 DC/DC converter efficiency can be calculated in the following manner.
(15)
Or
(16)
Calculations for determining the most significant power losses are shown below. Other losses totaling less than
2% are not discussed.
Power loss (P
LOSS
) is the sum of two basic types of losses in the converter: switching and conduction.
Conduction losses usually dominate at higher output loads, whereas switching losses remain relatively fixed and
dominate at lower output loads. The first step in determining the losses is to calculate the duty cycle (D):
(17)
V
SW
is the voltage drop across the internal PFET when it is on, and is equal to:
V
SW
= I
OUT
x R
DSON
(18)
V
D
is the forward voltage drop across the Schottky catch diode. It can be obtained from the diode manufactures
Electrical Characteristics section. If the voltage drop across the inductor (V
DCR
) is accounted for, the equation
becomes:
(19)
The conduction losses in the free-wheeling Schottky diode are calculated as follows:
P
DIODE
= V
D
x I
OUT
x (1-D) (20)
Often this is the single most significant power loss in the circuit. Care should be taken to choose a Schottky
diode that has a low forward voltage drop.
Another significant external power loss is the conduction loss in the output inductor. The equation can be
simplified to:
P
IND
= I
OUT
2
x R
DCR
(21)
The LMR10520 conduction loss is mainly associated with the internal PFET:
(22)
If the inductor ripple current is fairly small, the conduction losses can be simplified to:
P
COND
= I
OUT
2
x R
DSON
x D (23)
Switching losses are also associated with the internal PFET. They occur during the switch on and off transition
periods, where voltages and currents overlap resulting in power loss. The simplest means to determine this loss
is to empirically measuring the rise and fall times (10% to 90%) of the switch at the switch node.
Switching Power Loss is calculated as follows:
P
SWR
= 1/2(V
IN
x I
OUT
x F
SW
x T
RISE
) (24)
P
SWF
= 1/2(V
IN
x I
OUT
x F
SW
x T
FALL
) (25)
P
SW
= P
SWR
+ P
SWF
(26)
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