In a wind energy conversion system (WECS), multiple-time-scale transients that cover a wide frequency range from low-frequency transient stability up to high-frequency switching events are observed. This paper presents a methodology of modeling diverse transients for a permanent magnet synchronous generator (PMSG)-based WECS within the same study. Multiple physical areas of the PMSG-based WECS are given depending on the appearance of carriers contained in the considered waveforms. In order to eliminate different carrier frequencies, the PMSG and generator-side voltage source converter (VSC) are modeled in the dq0-reference frame. On the other hand, the grid-side VSC and utility grid are dealt with in the multi-scale model of the network in which the shift frequency is available. The switching-function and average-value models of the VSC are selected depending on the carrier shifted. In addition, interface between the control and electrical subsystems is redesigned to offset the computation error caused by one time-step delay. Two test cases are performed to study the wind power fluctuations and faults ride-through. The results show that the proposed multi-scale model is able to simulate slow-changing dynamic responses up to high-frequency transients accurately while decreasing the simulation burden. In comparison with the results obtained from the EMTP (electromagnetic transients program) type simulators, the effectiveness and accuracy of the multi-scale model are verified.