I. Introduction
In modern electrified railway traction system, the single-phase four-quadrant converters (4QCs) are usually adopted as the front-end converters of the propulsion system, which regulate the DC link voltage with bidirectional power flow capability. The state-of-the-art control scheme of 4QC is the vector current control, which includes DC voltage controller (DVC) cascaded with the current controller and adopts phase-locked loop (PLL) for synchronization [1]–[4]. This control scheme can be identified as grid-following (GFL) control. However, due to the long distance and large line impedance of traction power supply network, the voltage at the point of common coupling (PCC) is affected by the active and reactive power. The PLL and DVC will induce negative impact on the small-signal stability of the vehicle-catenary system [5] [6]. Hence, the railway traction system suffers from small-signal instability problems, such as low-frequency oscillation, harmonic instability and high frequency resonance [1]–[4].