The charge-pump phase-locked loop (CP-PLL) is one of widely used types of the phase-locked loop (PLL). A PLL is essentially nonlinear control system and its nonlinear analysis is a challenging task. Recently, we found some flaws in the well-known and frequently cited article "Analysis of a charge-pump PLL: A new model" published by M. van Paemel in the IEEE Transactions on Communications journal. In the present brief note the corresponding numerical and analytical examples are provided and the ways to correct the flaws are discussed.