Summary
International Symposium on Nonlinear Theory and Its Applications
2022
Session Number:C2L-D
Session:
Number:C2L-D-03
Mathematical Modeling of Road Heating System with Underground Distribution Line Based on Nonlinear ODE Model
Yuya Muto , Chiaki Kojima , Yuki Okura,
pp.458-461
Publication Date:12/12/2022
Online ISSN:2188-5079
Summary:
In regions with heavy snowfall, snow accumulation causes problems such as falls on sidewalks and traffic congestion. In this paper, we present a road heating system using underground power distribution lines. In this paper, the system is decomposed into four layers: voltage and current distribution in underground distribution lines, thermal dissipation in cables, thermal diffusion in the ground, and snow melting on the ground surface. We derive a mathematical model of the road heating system based on the nonlinear ordinary differential equation (ODE) model. The validity of the model is verified by a numerical simulation.