An efficient procedure for modeling medium frequency (MF) communications in coal mines is introduced. In particular, a hybrid approach is formulated and demonstrated utilizing ideal transmission line equations to model MF propagation in combination with full-wave sections used for accurate simulation of local antenna-line coupling and other near-field effects. This work confirms that the hybrid method accurately models signal propagation from a source to a load for various system geometries and material compositions, while significantly reducing computation time. With such dramatic improvement to solution times, it becomes feasible to perform large-scale optimizations with the primary motivation of improving communications in coal mines both for daily operations and emergency response. Furthermore, it is demonstrated that the hybrid approach is suitable for modeling and optimizing large communication networks in coal mines that may otherwise be intractable to simulate using traditional full-wave techniques such as moment methods or finite-element analysis.

中文翻译：

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煤矿中频传播有效建模的混合方法

介绍了一种用于对煤矿中的中频 (MF) 通信进行建模的有效程序。特别是，使用理想传输线方程对 MF 传播进行建模，并结合全波截面来制定和演示混合方法，用于精确模拟本地天线-线耦合和其他近场效应。这项工作证实，对于各种系统几何形状和材料成分，混合方法可以准确地模拟从源到负载的信号传播，同时显着减少计算时间。随着求解时间的显着改善，以改善煤矿日常运营和应急响应的通信为主要动机，执行大规模优化变得可行。此外，