The bug repellent system is configured for use in repelling insects. The bug repellent system is an electrically powered device. The bug repellent sublimates an essential oil contained within a cartridge. The cartridge is a solid phase of a solution comprising the essential oil dissolved in a paraffin solvent. The selected essential oil is an insect repellent known to repel mosquitos. The bug repellent system is worn by a client. The bug repellent system comprises a housing, the cartridge, and a sublimating device. The housing contains the cartridge and the sublimating device. The sublimating device warms the cartridge such that the essential oil sublimates into the atmosphere from the cartridge. The housing is worn by the client.