Dynamic average-value modeling of power electronic-based systems has evolved and is widely used for system-level transient simulations and small-signal analysis. This paper presents an approximate average model for controlled line-commutated converters, which is developed based on the parametric average modeling methodology previously established for the diode bridge rectifiers. The proposed model is compared against a previously-developed analytical average-value model as well as a detailed switch-level implementation of the system. The new model is demonstrated to have good accuracy in both time- and frequency — domain for predicting the system-level behavior.