To meet the different charging or discharging requirements of batteries, this paper proposed an isolated three-port bidirectional resonant converter with additional notch filters. Only one transformer with multi-winding is adopted in the converter to simplify the structure. In addition, with the combination of the notch filter and the hybrid control, the impedance of each port can be controlled which realizes the decoupling of the output ports. Therefore, batteries with different states or different types of energy storage equipment can be charged at the same time. And voltage equalization can be also realized for the two output ports. Moreover, the converter can be operated with bidirectional power flow under ZVS condition, which is suitable for the application of V2G.

The random Fourier filter-based filtered-x least mean square (RF-FxLMS) algorithm has been proposed for the nonlinear active noise control (NANC) system to reduce the computational burden of the kernel filter. However, the RF-FxLMS algorithm markedly fluctuates when dealing with impulsive noise. In addition, the computing cost for the RF-FxLMS algorithm is still pricey in practice. In this work, a random Fourier filter based filtered-x generalized hyperbolic secant function (RF-FxGHSF) algorithm is presented to deal with impulsive noise. In virtue of the bilinear scheme, a cascaded random Fourier filter model is designed for concise computations, and the cascaded RF-FxGHSF (CRF-FxGHSF) algorithm is derived. Moreover, the steady-state convergence conditions are analyzed. The calculation complexity of the proposed algorithms is compared, and experiments emphatically analyze the principle for the presented model. Numerical simulations with α-stable noise and real noise carried out in different nonlinear path scenarios verify the convergence ability of proposed algorithms.