The Models for Evaluation of Environment Impact for the Circuit Board with Modal Reservation Using N-norms

The paper describes the effect of humidity and temperature on printed circuit board with a modal reservation and edge-coupling. Step by step, the development of a geometric model of a cross section, the calculation of matrices of primary and secondary parameters, the development of a schematic model, the obtaining simulation models, the development of N-norm models are presented. The calculated per-unit-length delays and time responses are given. Three cases of environmental impact were considered: the initial structure at a temperature of 25°C, a structure with a 1 mm thick layer of water covering it at a temperature of 25°C, and a structure with a 1 mm thick layer of ice covering it at a temperature of minus 50°C. Portraits of five N-norms along the conductor are shown with a comparison of their maximum and minimum values for three cases. It was found that humidity and temperature can significantly affect the values of N-norms, including their values along the conductor. The models obtained in this article will allow us to investigate the impact of the environment on printed circuit boards with MR. The paper for the first time presents the results of the systematic use of N-norm models.