The double-frequency (2ω) power flows through the DC side of the single-phase quasi-Z-source inverter (QZSI) leads to the 2ω voltage ripple of capacitors and 2ω current ripple of inductors. This paper proposes a ripple vector cancellation modulation strategy (RVCMS) based on the thought of ripple vector cancellation. By analyzing the mechanism of ripple generation and transmission, we can obtain a variation of a shoot-through duty cycle to generate a compensated 2ω ripple used to cancel the 2ω current ripple of inductors caused by the 2ω ripple of DC link current, and the 2ω compensated variation of a shoot-through duty cycle with a specific amplitude and phase is added to the constant shoot-through duty cycle. Finally, simulation and experimental results demonstrate the correctness and effectiveness of the proposed modulation strategy for the single-phase QZSI.Energies 2019, 12, 3344 2 of 12The active power filter (APF) technology is usually applied to the ripple suppression for QZSI. In [11], an active-filter-integrated single-phase QZSI was proposed: The APF consists of an extra switch leg and a second-order filter; the 2ω pulsating power of the AC load is transferred to the filter and the extra leg; the capacitor voltage and the inductor current in the DC side will no longer have the 2ω ripple component with this method, but an extra circuit means a higher cost and more complicated control. In [12,13], 2ω ripple control strategies were proposed based on feed-back control. In [12], a low-pass filter was used to obtain the 2ω ripple of the inductor current in the DC side by extracting its DC component, which is used to generate a small variation of the shoot-through duty cycle, and Reference [13] regards the 2ω voltage ripple of the DC source as the feed-back signal. Reference [14] proposes a 2ω ripple suppression method based on feed-forward control: The feed-forward signal is obtained by a ripple observer, which can observe the 2ω current of the DC link by detecting the output current of the inverter. References [12][13][14] can realize the suppression of the 2ω ripple without an extra active filter circuit; we can call it virtual APF technology. However, they still need filters or sensors to detect the 2ω ripple components, which will increase the cost. Therefore, the relationship between the variation of the shoot-through duty cycle and the 2ω ripple in the DC side, and realizing the suppression of the 2ω ripple with less hardware, needs further study.Reducing the modulation ratio of QZSI can effectively reduce the ripple content in the DC side; however, with the decrease of the modulation ratio and the increase of the shoot-through duty cycle, the harmonic distortion value of the inverter output voltage and the loss of switching devices will increase [15]. Some new modified modulation strategies have been addressed. In [16], a modified modulation strategy was proposed, which was different from the traditional modulation strategy; the shoot-through control lines are modified to a line with a 2ω component. R...