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Potential disagreement in the result induced by discontinuities is revealedin this paper between a novel power system transient simulation scheme usingnumerical integrators considering second order derivative and conventional onesusing numerical integrators considering first order derivative. Thedisagreement is due to the formula of the different numerical integrators. Animproved method for dealing with discontinuities in the novel transientsimulation scheme is proposed to resolve the disagreement. The effectiveness ofthe improved method is demonstrated and verified via numerical case studies.Although the disagreement is studied on and the improved method is proposed fora particular transient simulation scheme, similar conclusions also apply toother ones using numerical integrators considering high order derivative.

Improved Method for Dealing with Discontinuities in Power System  Transient Simulation Based on Frequency Response Optimized Integrators  Considering Second Order Derivative