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Forced oscillation (FO) is a significant concern threating the power systemstability. Its mechanisms are mostly studied via linear models. However, FOamplitude is increasing, e.g., Nordic and Western American FOs, which canstimulate power system nonlinearity. Hence, this paper incorporatesnonlinearity in FO mechanism analysis. The multi-scale technique is employed insolving the forced oscillation equation to handle the quadratic nonlinearity.The amplitude-frequency characteristic curves and first-order approximateexpressions are derived. The frequency deviation and jumping phenomenon causedby nonlinearity are discovered and further analyzed by comparing with linearmodels. This paper provides a preliminary research for nonlinear FOs of powersystem, and more characteristics should be further analysis in the near future.

Preliminary Study on Forced Oscillation of Power System with Quadratic Nonlinearity