Homogenization of linear spatially periodic electronic circuits
Michel Lenczner · Networks and Heterogeneous Media · 2006
In this paper we establish a simplified model ofgeneral spatially periodic linear electronic analog networks. It has atwo-scale structure. At the macro level it is an algebro-differentialequation and a circuit equation at the micro level. Its construction isbased on the concept of two-scale convergence, introduced by the author inthe framework of partial differential equations, adapted to vectors andmatrices. Simple illustrative examples are detailed by hand calculation anda numerical simulation is reported.