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A five-level active shunt power filter (ASF) structure with a predictive current controller is proposed in this paper for application in aircraft power systems with variable fundamental frequency (ranging from 360 Hz to 800 Hz). The tested ASF is capable of a high bandwidth current control with a low switching frequency being able to effectively track harmonic current reference signals up to 5.6 kHz. Analysis of the proposed ASF structure for the aircraft applications includes current tracking performance and harmonic spectrum of the output ASF voltage. A comparison of the proposed five-level topology is made with the two-level one.