Abstract
The nonlinear dynamical behaviour of a network that is submitted to disturbances is the starting point of this work, where we consider a low voltage line (the network) with nonlinear varistor filters responding, dynamically, to those disturbances. Network models consider static measurements, and here we develop an iterative model to deal with dynamical measurements. We begin with the one-dimensional communication line model using reflected and incident signals, which are dependent on the node parameters, proceeding a time-step computation. Each node is a space representation that consolidates parameters for a specific vertex and its edges. Nonlinear functions are applied within the node and will contribute to the general process running on the structure. The idea of a structure and its related processes leads to a new concept of sustainability and system robustness. This concludes the work, along with several experimental and simulation results, with direct advantages to electromagnetic interference control and mitigation.
Highlights
We use a simple one-dimensional electrical network as the basic case study, where we analyse (1) the physical structure and (2) the processes running on top of it
The varistor comes to improve network communication performance. It behaves as a nonlinear filter [27,28,29,30,31,32] connected to the electrical network to respond to the alien disturbances
Based on this simple and practical electrical problem, the paper points out suggestions to a generalized dynamical network model, considering complex systems frameworks [33,34] and complex network measurements [35,36,37] as basic paradigms
Summary
The core motivation of this research comes from a reflection about network sustainability and robustness. Vertices and edges build static networks from which several measurements and results are extracted. This approach works very well for many theoretical and practical problems. Instead of a general system robustness measurement, we contribute here with insights and themes to explore. We do this by studying a simple system and conducting experiments with it. We use a simple one-dimensional electrical network as the basic case study, where we analyse (1) the physical structure (a communication line in this study) and (2) the processes running on top of it (the signals traveling to communicate, and unexpected surges). Two- and three-dimensional examples are shown to illustrate more generalized cases
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