Assessment of non-linear modal interaction in stressed power networks using the method of normal forms

Analysis of nonlinear modal interaction in stressed power systems using POD-Galerkin characterization

“…While for case II, modal interactions whit higher values are associated with inter-area mode. (11,7) 0.40(13,14) 0.24 (12,7) 0.32(10,12) 0.18 (10,10) 0.27( 9,13) 0.16 (14,9) 0.25 (12,14) 9 0.41 (16,12) 0.67( 9, 9) 0.39 (12,9) 0.56(10,13) 0.28 (16,15) 0.40(16,10) 0.25 ( 9,10) 0.36 (13,9) 0.17 (14,13) 0.33(10,11) 13 5.66 (12,11) 10.34(13,12) 4.82 ( 9,8) 9.59(12,12) 4.80 (14,13) 7.49(12,11) 4.79 ( 7,8) 7.15(13,15) 4.43 ( 9, 7) 6.91 ( 9,8) The coefficients associated with inter-area mode have larger value with respect to local modes for both cases. For case I, the inter-area mode exhibit two of the dominant interactions with the control mode 12 and the local mode 9.…”

“…In [4,5] the analysis was placed on the prediction of the onset of inter-area mode, as well as the determination of the nonlinear interactions and units involved in them. Subsequently, several researches assessment the effect of modal interaction between inertial and control modes in power system [6][7][8].…”

Higher-Order Normal Form Analysis of Stressed Power Systems: A Fundamental Study

“…Recently, the problem of nonlinear analysis of stressed power systems has received considerable attention owing to the need to accurately describe and predict the system response to various loading conditions [1][2][3][4]. Nonlinear effects of electromechanical origin arise in power system dynamic behavior when rotor angle deviations become too large.…”

“…Existing analytical methods for the analysis of nonlinear oscillations in power systems have traditionally been restricted to low-dimensional system representations [3][4][5][6][7]. Recent studies, however, suggest that nonlinearities of higher-order play an important role in determining relevant performance characteristics such as nonlinear modal interaction among modes [8].…”

“…The article extends the NFM method proposed by [4] to explore the effects of higher-order nonlinear terms arising from the series representation of the nonlinear system representation. A general nonlinear analysis technique based on normal form theory is first proposed in which system nonlinearities are represented explicitly.…”