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Vibration energy harvesting provides a promising solution to implement self-sustained lower-power electronic devices and hence has attracted numerous research interests.Widening the operating bandwidth and enlarging the magnitude of output are challenging problems in the study of improving the efficiency of the vibration energy harvester (VEH).In this report a magnetic coupled piezoelectric energy harvester (PEH), in which the magnetic interaction is introduced by a magnetic oscillator, is proposed and a lumped parameter models is established for the nonlinear piezoelectric energy harvester with magnetic oscillator.