Coordinated operation of power

heating

and gas systems in an integrated energy system (IES) can effectively improve the energy systems' economy

safety

and reliability. However

the natural gas system is dynamic and is modeled by complex nonconvex constraints

which makes the natural gas system dispatch model difficult to solve effectively. This poses a serious challenge to the optimal dispatch of the IES with a natural gas system. Inspired by a recent novel rank minimization algorithm (NRMA)

this paper proposes a modified rank minimization algorithm (MRMA)

which overcomes the infeasibility issue of the NRMA and can efficiently solve the dynamic natural gas system (DNGS) dispatch problem. Moreover

binary search and acceleration approaches are proposed to improve the MRMA's computational efficiency

surpassing the NRMA and the conventional interior point method. Numerical tests demonstrate that MRMA can solve DNGS dispatch problems much more efficiently than conventional methods.