I. Introduction
High-voltage, direct-current (HVDC) systems are superior to alternating current (AC) systems for long-distance electric power transmission in terms of technical merits, safety problems, economic consideration, and environmental issues [1], [2]. Continuous pursuing to low loss in transmission lines has led to the voltage of DC transmission systems to 800 kV. High voltage requires measurement or monitoring of the electric fields close to HVDC transmission lines to ensure safety, predict stability and failure, and diagnose reliability of the power transmission systems [3]. For example, it is necessary to accurately acquire the electric fields near HVDC transmission lines after installing to ensure the safety of passengers and equipment [4]. Changes in the electric fields around transmission lines caused by damage, failure or degradation of insulators can be used to predict reliability problems. Measuring electric fields with distributed wireless sensor networks is essential to smart grids towards highly reliable power systems with intelligent conditioning of production and distribution of electricity [5]–[7].