Steady-state analysis of a distributed model of the buck converter

For the well-known buck converter, we replace the inductor and capacitor by a transmission line. In other words, the lumped reactive elements are substituted by a distributed element. This results in a completely different type of the model. Instead of ordinary differential equations as for the classical buck converter, we obtain a set of partial differential equations with appropriate boundary conditions. The stationary regime of both models is compared in theoretical investigations and simulation studies.