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7. Modified Hopf bifurcation index for power system stability assessment

Author

B.I.L. Lopes, Rafael Coradi Leme, Marcelo A. Tomim, P.P. de Carvalho Mendes, J.W.M. Lima, A. C. Zambroni de Souza, and R. Jovita

Subjects
Hopf bifurcation, Computer simulation, MathematicsofComputing_NUMERICALANALYSIS, System identification, Network dynamics, Rendering (computer graphics), symbols.namesake, Electric power system, Singular value, Control theory, symbols, Applied mathematics, Electrical and Electronic Engineering, Eigenvalues and eigenvectors, Mathematics
Abstract

An index to identify Hopf bifurcation points in power systems is proposed. Two models are used to exploit the method. When the network dynamics are modelled, systems susceptible to subsynchronous resonance are identified. On the other hand, if interactions between the network and generators are not the focus, Hopf bifurcations may be identified as a consequence of generator oscillations. The index proposed is based on the calculation of a reduced set of eigenvalues, rendering the technique effective even for large power systems. Additional analysis is carried out for two techniques previously proposed in the literature, which are based on the calculation of the least singular value of an augmented system matrix, and on its least eigenvalue.

Published
2005
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8. Suing the Colonialists: Native Litigiousness in the Spanish Empire, 1580-1640.

Author

Baber, R. Jovita

Subjects
*TLAXCALAN (Mexican people), *JUSTICE administration, *INDIGENOUS peoples, *COURT system, *LAW, *POLITICAL systems
Abstract

Using the case study of the Tlaxcalan community in New Spain, this paper examines how native people used the legal system of the Spanish Empire to advocate on their own behalf between 1580 and 1640, and how their persistent activity influenced the evolving imperial system. During this period, the native population fell to its nadir; the Spanish and casta (mixed race) population grew dramatically; and the separate Spanish and Indian jurisdictions (república de indios and república de españoles) broke down. As Spaniards and castas increasingly bought and usurped uncultivated land in the region, the Tlaxcalans used the political and legal system to influence the transfer of land, cultural norms and political jurisdiction. Adjusting to the changing social and political reality, this paper shows how Tlaxcalans adapted their legal strategies and negotiated change in the legal system. Conversely, the paper argues that in the process of acting in the system, Tlaxcalans influenced the application and interpretation of Spanish law and prompted the Crown to promulgate new laws. [ABSTRACT FROM AUTHOR]

Published
2004

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