Transfer Function Analysis of Fractional-Order Three-Dimensional Electrically Coupled Cell Network
Advances in Science, Technology and Engineering Systems
In this paper, a novel method is proposed for the dynamic analysis of fractional-order three-dimensional electrically coupled cell network. In general, three-dimensional cell network is constructed by combining three one-dimensional circuit networks. Analysis method is based on the principles of the dynamic analysis with transfer function approximation. Although fractional-order three-dimensional circuit network model contains nonlinear fractal elements such as fractional-order capacitors and
... er capacitors and inductors, transfer function approximation is employed in dynamic analysis of the network by using the Laplace transform. First by using nodal analysis method, general expression in matrix forms for the transfer function and typical equivalent impedance of the fractional-order three-dimensional circuit network are derived in fractional domain. Transfer function and Equivalent network impedance of the cell network model are obtained in the form of matrix equation with the implicit analytical expression. Secondly the effects of five network parameters such as inductance L, capacitance C, number of cell unit n and fractional-orders (α, β) on the impedance and electrical network characteristics such as transfer function and output responses are investigated by means of MATLAB Simulation programs. Finally, the validity of the proposed method is done by using PSPICE simulations which show the experimental performance and PSPICE simulation results is presented.