Assessment of Transient Stability of Nonlinear Dynamic Systems by the Method of Tangent Hyperplanes and the Method of Tangent Hypersurfaces

Date

1989-9-1

Author

Eskicioglu, Ahmet M.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

247
views

0
downloads

Two direct methods, the method of tangent hyperplanes and the method of tangent hypersurfaces, are applied to an elementary nonlinear dynamic system for transient stability assessment. The former method is based on the approximation of the asymptotic stability boundary by hyperplanes at a certain class of unstable singular points in the state-space, and the latter replaces hyperplanes by hypersurfaces. The applicability and accuracy of both methods are evaluated through a comparison of results.

Subject Keywords

Control and Systems Engineering, Mechanical Engineering, Instrumentation, Information Systems, Computer Science Applications, Automation & Control Systems, Instruments & Instrumentation

URI

https://hdl.handle.net/11511/52198

Journal

Journal of Dynamic Systems, Measurement, and Control

DOI

https://doi.org/10.1115/1.3153086

Collections

Department of Computer Engineering, Article

Suggestions

OpenMETU
Core

Analysis of single Gaussian approximation of Gaussian mixtures in Bayesian filtering applied to mixed multiple-model estimation Orguner, Umut (Informa UK Limited, 2007-01-01) This paper examines the effect of the moment-matched single Gaussian approximation, which is made in various multiple-model filtering applications to approximate a Gaussian mixture, on the Bayesian filter performance. The estimation error caused by the approximation is analysed for both the prediction and the measurement updates of a Bayesian filter. An approximate formula is found for the covariance of the error caused by the approximation for a general Gaussian mixture with arbitrary components. The calcu...
An improved method for inference of piecewise linear systems by detecting jumps using derivative estimation Selcuk, A. M.; Öktem, Hüseyin Avni (Elsevier BV, 2009-08-01) Inference of dynamical systems using piecewise linear models is a promising active research area. Most of the investigations in this field have been stimulated by the research in functional genomics. In this article we study the inference problem in piecewise linear systems. We propose first identifying the state transitions by detecting the jumps of the derivative estimates, then finding the guard conditions of the state transitions (thresholds) from the values of the state variables at the state transitio...
Periodic solutions of the hybrid system with small parameter Akhmet, Marat; Ergenc, T. (Elsevier BV, 2008-06-01) In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed.
A state prediction scheme for discrete time nonlinear dynamic systems Demirbaş, Kerim (Informa UK Limited, 2007-01-01) A state prediction scheme is proposed for discrete time nonlinear dynamic systems with non-Gaussian disturbance and observation noises. This scheme is based upon quantization, multiple hypothesis testing, and dynamic programming. Dynamic models of the proposed scheme are as general as dynamic models of particle predictors, whereas the nonlinear models of the extended Kalman (EK) predictor are linear with respect to the disturbance and observation noises. The performance of the proposed scheme is compared wi...
Q-Adaptation of SVD-aided UKF Algorithm for Nanosatellite Attitude Estimation Hacızade, Cengiz; Söken, Halil Ersin; Guler, Demet Cilden (2017-01-01) In this study, we propose process noise covariance matrix adaptation (Q-adaptation) for the Singular Value Decomposition (SVD) aided Unscented Kalman Filter (UKF) algorithm. The main aim is to make the algorithm adaptive against the changes in the process noise covariance. The SVD-aided Adaptive UKF (SaAUKF) estimates the attitude and attitude rate of a nano satellite. We implement the SVD method in the algorithm's first phase using magnetometer and sun sensor measurements. It estimates the attitude of the ...

Citation Formats

A. M. Eskicioglu, “Assessment of Transient Stability of Nonlinear Dynamic Systems by the Method of Tangent Hyperplanes and the Method of Tangent Hypersurfaces,” Journal of Dynamic Systems, Measurement, and Control, pp. 540–541, 1989, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/52198.