Experimental intensity patterns obtained from a 2D shearing interferometer with adaptable sensitivity

Abstract

In this paper a novel technique for the detection and estimation of nonlinear mode coupling in power system time series is presented. This technique allows for the simultaneous determination of both, frequency and damping of the nonlinearly coupled modes and can be used to detect and analyze nonlinearities in stressed power systems. Using higher order statistics, techniques are devised for the detection and frequency estimation of coupling frequencies. First, a parametric method for bispectrum estimation based on a non-Gaussian autoregressive (AR) driven model is developed and used to characterize the nonlinear dynamics of oscillatory processes following large perturbations. Analysis methods are then investigated for extracting the relevant amplitude and phase of the coupled modes in both, the time and frequency domains. The method extends current linear identification techniques based on Prony analysis to the case of nonlinear systems with frequency modulation. A simplified 4-machine, 6-bus test power system is used to illustrate the applicability of the technique. " 2007 IEEE.",,,,,,"10.1109/PES.2007.385570",,,"http://hdl.handle.net/20.500.12104/43201","http://www.scopus.com/inward/record.url?eid=2-s2.0-42549166496&partnerID=40&md5=f505c7f7c94f2b7c875aed1258c54caa",,,,,,,,"2007 IEEE Power Engineering Society General Meeting, PES",,,,,,"Scopus",,,,,,"Higher order statistics; Modal analysis; Nonlinear modal interaction; Power system dynamic stability",,,,,,"Nonlinear modal identification of power system response signals using higher order statistics",,"Conference Paper" "43139","123456789/35008",,"Fuentes Navarro, María Teresa Universidad de Guadalajara",,"Fuentes Navarro, María Teresa Universidad de Guadalajara",,"2004",,,,,,,,,,"1665-109X","http://hdl.handle.net/20.500.12104/41360",,,"Español",,,,"25",,"Sinéctica",,"23-27",,,,"CLASE",,,,,,,,"Psicología educativa",,,,"El estudiante como sujeto del rendimiento académico",,"journalArticle" "43170","123456789/35008",,"García-Torales, G., Universidad de Guadalajara, Av. Revolución 1500, Guadalajara Jal., MX, CP 44840, Mexico; Paez, G., Centro de Investigaciones en óptica, Loma del Bosque 115, León Gto., MX, CP 37000, Mexico; Strojnik, M., Centro de Investigaciones en óptica, Loma del Bosque 115, León Gto., MX, CP 37000, Mexico; Villa, J., Universidad Autónoma de Zacatecas, Av. López Velarde 801, Zacatecas, Zac., MX, CP 98000, Mexico; Flores, J.L., Universidad de Guadalajara, Av. Revolución 1500, Guadalajara Jal., MX, CP 44840, Mexico; González Alvarez, A., Universidad de Guadalajara, Av. Revolución 1500, Guadalajara Jal., MX, CP 44840, Mexico",,"García-Torales, G.

Paez, G.

Strojnik, M.

Villa, J.

Flores, J.L.

Gonzalez Alvarez, A.",,"2006",,"The interferometric intensity patterns from a 2D shearing interferometer are shown and discussed. The intensity patterns can be obtained in two different approaches incorporating differential and extended wavefront controlled displacements. The reliable directional sensitivity of this interferometer allows the optimization of the measurement parameters to estimate the wavefront of the intensity patterns by regularization techniques. " 2005 Elsevier B.V. All rights reserved.