The invention discloses an MMC flexible direct-current system. The MMC flexible direct-current system comprises a first converter station and a second converter station, wherein the first converter station and the second converter station are connected through a direct-current circuit and each comprise an alternating-current system, a main circuit breaker, a transformer and multiple bridge arms, each alternating-current system, the corresponding main circuit breaker and the corresponding transformer are sequentially connected in series, every two corresponding bridge arms are connected in series to form a phase of bridge arms, the number of the phases of the bridge arms is three, and the phases of bridge arms are connected in parallel and then are connected with the transformers in series; each bridge arm comprises a bridge arm reactor and a valve bank which are connected in series, each valve bank comprises multiple sub-modules, in the open circuit state, the sub-modules are equivalent to a series circuit of a resistor and a capacitor, and in the short circuit state, the sub-modules are equivalent to an inductive circuit. During real-time digital simulation, inversion does not need to be conducted on an admittance matrix again, in this way, a large amount of calculation time can be saved, the real-time simulation step size is reduced to smaller than several microseconds according to requirements, and accurate simulation of the MMC flexible direct-current system is achieved.