Converter control model plays an essential function for HVDC system dynamic simulation in real time simulator (RTDS). RTDS can provide approach for detailed studies of options and predictions of the system performance. This paper first presents the basic principle of the power control, firing control and transformer tap control. Then the paper presents our modeling effort for these control models. The configuration of control models includes major sections of practical controls. The paper also makes final verification test of these sections with a typical power system model. The validity of proposal methods and designed simulation model is verified by tests and computed results. The built HVDC control model is competent for the RTDS simulation.