1. A processor-implemented method of constructing a physical transmission line system, comprising: receiving characteristic data associated with a physical transmission line system; building a model of the physical transmission line system based on the characteristic data, wherein building a model of the physical transmission line system comprises: determining a characteristic admittance matrix based on the characteristic data; determining a propagation function matrix based on the characteristic data; calculating a linking matrix based on the characteristic admittance matrix and the propagation function matrix; determining a state space model based on the characteristic admittance matrix and the linking matrix; performing a simulation using the state space model to determine a physical characteristic; wherein the physical transmission line system is (i) built based on the simulation predicting the physical transmission line system will behave as desired or (ii) modified based on the simulation predicting the physical transmission line system will not behave as desired.