A system for performing a rapid alternating process (RAP) etch includes a bias frequency adjustment module that selectively adjusts a bias frequency of a bias radio frequency (RF) source. The bias RF source provides a bias power to a substrate processing system. A control module determines a tuned frequency of the bias RF source. The tuned frequency corresponds to an impedance matching value. The control module controls the bias frequency adjustment module to adjust the bias frequency to a detuned frequency. The detuned frequency increases the bias power of the bias RF source to a predetermined range.