In this paper the dynamic models of the double and triple charge pumps are extended to circuits in which the diodes are realized with an MOS transistor having a drain-gate contact. In this circuit realization we must take into account the influence of the source-substrate voltage on the threshold voltage Vt.The effects of the source-substrate voltage on the dynamic behaviour are analysed and discussed in detail. Moreover, simple equations allowing one to perform a pencil-and-paper area-efficient optimized design are developed from the two new models.The models obtained are also validated by SPICE simulation of the circuit assuming a typical CMOS 3 gm process.