L
VIN - VO
'iL = 'iF = x tON
LM3406, LM3406HV, LM3406HV-Q1
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SNVS512E –SEPTEMBER 2008–REVISED MARCH 2014
8.1 DESIGN CONSIDERATIONS
8.1.1 SWITCHING FREQUENCY
Switching frequency is selected based on the trade-offs between efficiency (better at low frequency), solution
size/cost (smaller at high frequency), and the range of output voltage that can be regulated (wider at lower
frequency.) Many applications place limits on switching frequency due to EMI sensitivity. The on-time of the
LM3406 family can be programmed for switching frequencies ranging from the 10’s of kHz to over 1 MHz. This
on-time varies in proportion to both VIN and VOin order to maintain first-order control over switching frequency,
however in practice the switching frequency will shift in response to large swings in VIN or VO. The maximum
switching frequency is limited only by the minimum on-time and minimum off-time requirements.
8.1.2 LED RIPPLE CURRENT
Selection of the ripple current, ΔiF, through the LED array is similar to the selection of output ripple voltage in a
standard voltage regulator. Where the output ripple in a voltage regulator is commonly ±1% to ±5% of the DC
output voltage, LED manufacturers generally recommend values for ΔiFranging from ±5% to ±20% of IF. Higher
LED ripple current allows the use of smaller inductors, smaller output capacitors, or no output capacitors at all.
Lower ripple current requires more output inductance, higher switching frequency, or additional output
capacitance, and may be necessary for applications that are not intended for human eyes, such as machine
vision or industrial inspection.
8.1.3 BUCK CONVERTERS WITHOUT OUTPUT CAPACITORS
The buck converter is unique among non-isolated topologies because of the direct connection of the inductor to
the load during the entire switching cycle. By definition an inductor will control the rate of change of current that
flows through it, and this control over current ripple forms the basis for component selection in both voltage
regulators and current regulators. A current regulator such as the LED driver for which the LM3406 family was
designed focuses on the control of the current through the load, not the voltage across it. A constant current
regulator is free of load current transients, and has no need of output capacitance to supply the load and
maintain output voltage. Referring to the Typical Application circuit on the front page of this datasheet, the
inductor and LED can form a single series chain, sharing the same current. When no output capacitor is used,
the same equations that govern inductor ripple current, ΔiL, also apply to the LED ripple current, ΔiF. For a
controlled on-time converter such as LM3406 family the ripple current is described by the following expression:
(12)
The triangle-wave inductor current ripple flows through RSNS and produces a triangle-wave voltage at the CS pin.
To provide good signal to noise ratio (SNR) the amplitude of CS pin ripple voltage, ΔvCS, should be at least 25
mVP-P.ΔvCS is described by the following:
ΔvCS =ΔiFx RSNS (13)
8.1.4 BUCK CONVERTERS WITH OUTPUT CAPACITORS
A capacitor placed in parallel with the LED(s) can be used to reduce the LED current ripple while keeping the
same average current through both the inductor and the LED array. With an output capacitor the output
inductance can be lowered, making the magnetics smaller and less expensive. Alternatively, the circuit could be
run at lower frequency but keep the same inductor value, improving the power efficiency. Both the peak current
limit and the OVP/OCP comparator still monitor peak inductor current, placing a limit on how large ΔiLcan be
even if ΔiFis made very small. Adding a capacitor that reduces ΔiFto well below the target provides headroom
for changes in inductance or VIN that might otherwise push the peak LED ripple current too high.
shows the equivalent impedances presented to the inductor current ripple when an output capacitor, CO, and its
equivalent series resistance (ESR) are placed in parallel with the LED array. Note that ceramic capacitors have
so little ESR that it can be ignored. The entire inductor ripple current still flows through RSNS to provide the
required 25 mV of ripple voltage for proper operation of the CS comparator.
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