boost converter

MK64_Boost_Pad.pngrightA Boost Driver is a switched mode power supply that acts as a DC-to-DC transformer, reducing available current but increasing voltage.

pros and cons

nothing is without tradeoffs

circuit diagram

realization using an LM555 timer IC
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555Timer1 GND2 Trig3 Output4 Reset+Vcc 8Disch 7Thresh 6Vctrl 5++--outputs a PWM signal withthe duty cycle dependent uponRA, RB, and CAstable oscillator configuration

duty cycle equations

referencing the LM555 timer IC datasheet configured as indicated above

Duty Cycle=RBRA+2RBT=t1+t2t1=ln(2)(RA+RB)Ct2=ln(2)(RB)Cwhere t1 is output highand t2 is output lowf=1T=1.44(RA+2RB)C

N.B. - ln(2)0.693, 1ln(2)1.44

555 Circuits Part 1 - The 555 Timer Astable Oscillator
LM555 Timer datasheet (Rev. D)

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