Vandermonde Interpolating as Nonlinear Predictor Applied to Continuation Method

The electricity sector, especially in emerging countries, has experienced several transformations, mainly resulting from the increase of electricity demand. This encourages more investment in the generation sector and causes increasing concerns with the development and improvement of tools for stati...

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Bibliographic Details
Published in:Revista IEEE América Latina 2018-12, Vol.16 (12), p.2954-2962
Main Authors: Bonini Neto, Alfredo, Cabrera Piazentin, Jhonatan, Alves, Dilson Amancio
Format: Article
Language:English
Subjects:
Continuation methods
Continuation power flow
Electric industries
Electric power demand
Electric power systems
Electricity consumption
Electronic equipment tests
FCC
IEEE transactions
Interpolation
Investment
Jacobian matrices
Newton method
nonlinear predictor
Polynomials
Stability analysis
Vandermonde interpolating
Voltage stability
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Summary:The electricity sector, especially in emerging countries, has experienced several transformations, mainly resulting from the increase of electricity demand. This encourages more investment in the generation sector and causes increasing concerns with the development and improvement of tools for static voltage stability analysis of electrical power systems. In this paper the results of the use of the nonlinear predictor for the tracing of the P-V curves are presented. The predictor is based on Vandermonde interpolating polynomial of second degree allowing to reconstruct a function passing through three known points on the P-V curve. The main benefit of using this predictor occurs in the most heavily loaded part of the P-V curve, i.e., near the maximum loading point. In this region, the nonlinear predictor resembles the curve of solutions trajectory and provides a smaller number of iterations and CPU time in the corrector step compared to some linear predictors. In the corrector step, the magnitude of the nodal voltage is used as a continuation parameter. The tests are performed for a two bus system, IEEE-14 bus system and real large systems, 787 buses, corresponding to parts of South–Southeast Brazilian system. Comparisons are presented, in terms of numbers of iterations and robustness, between the methods that use linear predictors and the nonlinear predictor.
ISSN:1548-0992
1548-0992
DOI:10.1109/TLA.2018.8804262