Algebraic foundation of self adjusting Switched Capacitors Converters

Algebraic synthesis of Fibonacci Switched Capacitor Converters

“…The rules for translating the SFN codes into SCC topologies follow the rules given in [3], [4]. Consider a step-down SCC including a voltage source Vin, a set of n flying capacitors Cj and output capacitor Co, which is paralleled with load Ro.…”

“…An effective way to realize many target voltages is the binary SCC [3], [4] that exhibits a binary resolution. That is, for n capacitors the number of target voltages will be 2 n -1 with a resolution of 1/2 n .…”

Optimization of a multi-target voltages switched capacitor converter

“…When the circuit is supposed to operate with G=1/4, essentially it consists of three subcircuits extended over three non-overlapping time sessions {Ф 1 ,Ф 2 ,Ф 3 }. Following the theory in [5], the sub-circuits of the SCC can be represented by an equivalent system of linear equations. Designating the voltages across C f1 and C f2 by V C1 and V C2 , the system of linear equations is composed as follows,…”

“…Switched capacitor converters (SCC) have become more attractive for battery operated systems because they can minimize the number of off-chip components and have flexibility in sizing switches and capacitors [3], [4]. The challenge associated with the realization of an efficient low voltage and ultra low power SCC has led to several recent developments [5]- [7]. These studies have shown that the efficiency of multiple conversion ratios SCC can be maintained effective over wider input voltage range than that of a single topology converter.…”

“…Hence, a total of only 10 power switches are able to support four topologies with conversion ratios of 2/3, 1/2, 1/3 and 1/4. The proposed G=1/4 topology employs the technique of binary SCC [5].…”