The electromagnetic transient simulation of power electronics-dominated power systems often face intermittent phenomena or problems in addition to the abrupt changes of state variables. The Critical Damping Adjustment (CDA) method can avoid the numerical oscillations caused by the abrupt changes of state variables, but the CDA method is found to be inadequate for dealing with intermittent problems. In fact, the classical CDA method usually "ignores" such problems. In order to optimize the electromagnetic transient simulation method, the Padé approximation of Taylor series is used to derive a kind of explicit and L-stable numerical method, which can completely avoid the numerical oscillation problems and also effectively deal with the intermittent problems. Therefore, the implicit Euler method of the CDA method can be replaced by such explicit methods, where the L-stable explicit method is specifically used for abrupt changes or intermittent problems, while the implicit trapezoidal integral rule is mainly used for all other state variables. Theoretical analysis and numerical examples preliminarily verify the effectiveness of this new combined method compared to the CDA approach when facing frequent intermittent problems. This work is supported by the Science and Technology Project of the Headquarter of State Grid Corporation of China (No. XTB51201802842).