New analytical approach to estimate the electromagnetic spectrum originated from devices submitted to high voltages

This paper presents a simplified physical model and an analytical equation to estimate the frequency range of the radiated spectrum from an ionized region using computational simulation. This phenomenon is frequently caused by the corona effect generated from high voltages sources. Mostly not seem, this ionization can damage over time the device and the radiated frequencies can cause electromagnetic interference (EMI). Based on particle radiation and the momentum equation, the velocity and frequency equations for accelerated charges in an electric field are presented. The proposed model presents compatible results according to the results widely found in the literature, from kHz frequencies to infrared and ultraviolet ranges. The model also explains why the corona effect spectrum for slowly changing electric fields is limited to the ultraviolet range and why rapidly changing fields can emit X-ray signals. The results can be used to guide in the evaluation of devices submitted to high voltage (HV) as well as to contribute to the development of devices that use HV electric fields to generate high frequencies, such as X-ray sources, and to research on harvest energy systems, corona discharges industrial processes, among others.