An oscillator arrangement is provided, comprising a relaxation oscillator having an active state and an inactive state; a bias current circuit portion arranged to provide a bias current to the relaxation oscillator during said active state; and an electronic switch arranged to isolate said relaxation oscillator from the bias current circuit portion when in said inactive state. The oscillator arrangement is arranged to store an internal voltage value associated with said bias current and the bias current circuit portion is arranged to use the stored internal voltage value to generate the bias current when the oscillator is started up from the inactive state to the active state.