11
LTC1878
internal power MOSFET switches. Each time the gate is
switched from high to low to high again, a packet of
charge dQ moves from V
IN
to ground. The resulting
dQ/dt is the current out of V
IN
that is typically larger than
the DC bias current. In continuous mode, I
GATECHG
=
f(Q
T
+ Q
B
) where Q
T
and Q
B
are the gate charges of the
internal top and bottom switches. Both the DC bias and
gate charge losses are proportional to V
IN
and thus
their effects will be more pronounced at higher supply
voltages.
2. I
2
R losses are calculated from the resistances of the
internal switches, R
SW
, and external inductor R
L
. In
continuous mode the average output current flowing
through inductor L is “chopped” between the main
switch and the synchronous switch. Thus, the series
resistance looking into the SW pin is a function of both
top and bottom MOSFET R
DS(ON)
and the duty cycle
(DC) as follows:
R
SW
= (R
DS(ON)TOP
)(DC) + (R
DS(ON)BOT
)(1 – DC)
The R
DS(ON)
for both the top and bottom MOSFETs can
be obtained from the Typical Performance Charateristics
curves. Thus, to obtain I
2
R losses, simply add R
SW
to
R
L
and multiply the result by the square of the average
output current.
Other losses including C
IN
and C
OUT
ESR dissipative
losses and inductor core losses generally account for less
than 2% total additional loss.
LOAD CURRENT (mA)
0.1 1
0.00001
POWER LOST (W)
0.001
1
10 100 1000
1878 F06
0.0001
0.01
0.1
V
OUT
= 1.5V
V
OUT
= 2.5V
V
OUT
= 3.3V
V
IN
= 4.2V
L = 10µH
Burst Mode OPERATION
Figure 6. Power Lost vs Load Current
APPLICATIO S I FOR ATIO
WUUU
external and internal frequencies are the same but exhibit
a phase difference, the current sources turn on for an
amount of time corresponding to the phase difference.
Thus the voltage on the PLL LPF pin is adjusted until the
phase and frequency of the external and internal oscilla-
tors are identical. At this stable operating point the phase
comparator output is high impedance and the filter
capacitor C
LP
holds the voltage.
The loop filter components C
LP
and R
LP
smooth out the
current pulses from the phase detector and provide a
stable input to the voltage controlled oscillator. The filter
component’s C
LP
and R
LP
determine how fast the loop
acquires lock. Typically R
LP
= 10k and C
LP
is 2200pF to
0.01µF. When not synchronized to an external clock, the
internal connection to the VCO is disconnected. This
disallows setting the internal oscillator frequency by a DC
voltage on the V
PLL LPF
pin.
Efficiency Considerations
The efficiency of a switching regulator is equal to the
output power divided by the input power times 100%. It is
often useful to analyze individual losses to determine what
is limiting the efficiency and which change would produce
the most improvement. Efficiency can be expressed as:
Efficiency = 100% – (L1 + L2 + L3 + ...)
where L1, L2, etc. are the individual losses as a percentage
of input power.
Although all dissipative elements in the circuit produce
losses, two main sources usually account for most of the
losses in LTC1878 circuits: V
IN
quiescent current and I
2
R
losses. The V
IN
quiescent current loss dominates the
efficiency loss at very low load currents whereas the I
2
R
loss dominates the efficiency loss at medium to high load
currents. In a typical efficiency plot, the efficiency curve at
very low load currents can be misleading since the actual
power lost is of no consequence as illustrated in Figure 6.
1. The V
IN
quiescent current is due to two components:
the DC bias current as given in the electrical character-
istics and the internal main switch and synchronous
switch gate charge currents. The gate charge current
results from switching the gate capacitance of the