September  2006, 1(3): 467-494. doi: 10.3934/nhm.2006.1.467

Homogenization of linear spatially periodic electronic circuits

1. 

Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695, United States

Received  February 2006 Revised  June 2006 Published  July 2006

In this paper we establish a simplified model of general spatially periodic linear electronic analog networks. It has a two-scale structure. At the macro level it is an algebro-differential equation and a circuit equation at the micro level. Its construction is based on the concept of two-scale convergence, introduced by the author in the framework of partial differential equations, adapted to vectors and matrices. Simple illustrative examples are detailed by hand calculation and a numerical simulation is reported.
Citation: Michel Lenczner. Homogenization of linear spatially periodic electronic circuits. Networks & Heterogeneous Media, 2006, 1 (3) : 467-494. doi: 10.3934/nhm.2006.1.467
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