The application of the direct current (DC) transmission is increasing through the interconnection between grids or the renewable energy resource integration. Various types of DC transmission topology are researched, and the hybrid multi-terminal high voltage DC (HVDC), called the "MTDC", is one of the research subjects. The hybrid multi-terminal HVDC is the MTDC system that is composed with the Line Commutated Converter (LCC) and Voltage Source Converter (VSC). Most hybrid MTDC research has been focused on the connection of the renewable energy generation sources, especially offshore wind farms. However, the DC grid built with a hybrid MTDC was recently proposed due to the development of the converter technology. Therefore, the DC grid is expected to be able to substitute some parts of the transmission grid instead of the alternating current (AC) system, and the operation strategies of the DC grid are still being researched. The DC grid has the advantage of being able to control the power flow, which can even improve the stability of the connected AC system. The dynamic model is required to analyze the improvement of the AC system by the operation strategy of the hybrid MTDC, however, there is no generic model for the system. In this paper, an operation strategy of the hybrid MTDC is proposed to improve the stability of the AC power system by increasing the utilization of parallel AC transmission lines under the contingency condition. Furthermore, studies on the modeling method for a hybrid MTDC analysis were performed. The proposed modeling method and operation strategy were verified in simulations for which a modified IEEE 39 bus test system was used. The improvement of transient stability by the proposed hybrid MTDC system was shown in the simulation results.Studies on the feasibility of the DC grid with various topologies, grid controls, and protection schemes are being conducted [5]. In addition, much research is performed on grid management and the voltage droop control strategy [6][7][8].The control and operation technology of the multi-terminal high voltage DC (HVDC), known as the "MTDC", is fundamental for building and operating the DC grid. The MTDC is used for the HVDC systems consisting of three or more converters and can control the power flow between the converter stations. At the beginning of the MTDC study, the system configuration and normal operation point is introduced in [9] and operation characteristic of MTDC is studied in [10]. Although the Line Commutate Converter (LCC) type was mainly studied in the early research, Voltage Source Converter (VSC)-type MTDC has been mainly researched recently, due to the development of VSC technology. Various research studies on the VSC MTDC, such as the AC and DC system power flow calculations with the VSC MTDC [11,12], the transmission loss minimization [13], and the frequency control [14], have been performed. The recent subjects of research on the hybrid MTDC are mainly control for the system, such as droop control, fault ride through, and voltage-depen...