Double and triple charge pump for power IC: dynamic models which take parasitic effects into account

Behavioral model of charge pumps with VHDL

“…Although Dickson published the first static analysis of the circuit in the 1976, the first dynamic models were proposed about fifteen years later in [12] and [13]. Successively, further dynamic model of a charge pump with any number of stages which allows the circuit to be design quite simple, was proposed in [14].…”

Analysis and Modeling of Capacitive Power Transfer in Microsystems

“…The second case is when C c C s with τ t 0 or τ ≥ t 0 . The former can be analyzed, using a switch capacitor approach [4], [5], [6], where it is assumed the capacitors charge each cycle; a brief derivation is included in Appendix A for completeness of this analysis. The later case, τ ≥ t 0 , requires a new approach that models the dynamics of the capacitor voltage during each charge cycle.…”

“…It is important to note that (14) and (15) are coupled and dependent on, R s , C c , and C s through the coefficients a(t) and b(t). When τ t 0 they can be decoupled using (1) by setting the i(t − 0 )R s term to zero -this is equivalent to assuming the capacitors are fully charged at the end of each cycle -and the solution derived using standard switched capacitor approaches [4], [5], [6]. In the generalized case we analyze here, without the assumption that τ t 0 , (14) and (15) cannot simply be decoupled and a different analytical method is needed.…”

“…the system does not reach steady state during a charge cycle. This presents a particular challenge to the designer, as previous analysis of rectifying circuits have used a switched capacitor approach, where they have assumed that the capacitors reach steady state or are fully charged at the end of each cycle [4], [5], [6], i.e. τ t 0 .…”

Improved behavioral and design model of an Nth-order charge pump

“…Dickson published the first static analysis of the circuit [15], which was then improved in [16]. However, the first dynamic models of one-and twostage charge pumps, and then of three-and four-stage pumps were proposed in [17] and [18], respectively. Starting from the results obtained, the authors proposed a dynamic model of a charge pump with any number of stages which allows the circuit to be design quite simple [19].…”