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LM3445MX Arkusz danych(PDF) 18 Page - National Semiconductor (TI)

[Old version datasheet] Texas Instruments acquired National semiconductor.
Numer części LM3445MX
Szczegółowy opis  Triac Dimmable Offline LED Driver
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Producent  NSC [National Semiconductor (TI)]
Strona internetowa  http://www.national.com
Logo NSC - National Semiconductor (TI)

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The off-time of the LM3445 can be programmed for switching
frequencies ranging from 30 kHz to over 1 MHz. A trade-off
between efficiency and solution size must be considered
when designing the LM3445 application.
The maximum switching frequency attainable is limited only
by the minimum on-time requirement (200 ns).
Worst case scenario for minimum on time is when V
BUCK is at
its maximum voltage (AC high line) and the LED string voltage
(V
LED) is at its minimum value.
The maximum voltage seen by the Buck Converter is:
INDUCTOR SELECTION
The controlled off-time architecture of the LM3445 regulates
the average current through the inductor (L2), and therefore
the LED string current. The input voltage to the buck converter
(V
BUCK) changes with line variations and over the course of
each half-cycle of the input line voltage. The voltage across
the LED string is relatively constant, and therefore the current
through R4 is constant. This current sets the off-time of the
converter and therefore the output volt-second product
(V
LED x off-time) remains constant. A constant volt-second
product makes it possible to keep the ripple through the in-
ductor constant as the voltage at V
BUCK varies.
30060340
FIGURE 17. LM3445 External Components of the Buck
Converter
The equation for an ideal inductor is:
Given a fixed inductor value, L, this equation states that the
change in the inductor current over time is proportional to the
voltage applied across the inductor.
During the on-time, the voltage applied across the inductor is,
V
L(ON-TIME) = VBUCK - (VLED + VDS(Q2) + IL2 x R3)
Since the voltage across the MOSFET switch (Q2) is rela-
tively small, as is the voltage across sense resistor R3, we
can simplify this to approximately,
V
L(ON-TIME) = VBUCK - VLED
During the off-time, the voltage seen by the inductor is ap-
proximately:
V
L(OFF-TIME) = VLED
The value of V
L(OFF-TIME) will be relatively constant, because
the LED stack voltage will remain constant. If we rewrite the
equation for an inductor inserting what we know about the
circuit during the off-time, we get:
Re-arranging this gives:
From this we can see that the ripple current (
Δi) is proportional
to off-time (t
OFF) multiplied by a voltage which is dominated
by V
LED divided by a constant (L2).
These equations can be rearranged to calculate the desired
value for inductor L2.
Where:
Finally:
Refer to “Design Example” section of the datasheet to better
understand the design process.
www.national.com
18


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