Trajectory sensitivity analysis using orthogonal functions

1985 ◽  
Vol 41 (2) ◽  
pp. 581-584 ◽  
Author(s):  
G. TH. KEKKERIS ◽  
P. N. PARASKEVOPOULOS
Keyword(s):  
Sensitivity Analysis ◽  
Orthogonal Functions ◽  
Trajectory Sensitivity

On Time Domain Identification and Sensitivity Analysis Using Orthogonal Functions

1999 ◽  
Author(s):  
Ricardo P. Pacheco ◽  
Valder Steffen
Keyword(s):  
Sensitivity Analysis ◽  
Jacobi Polynomials ◽  
Operational Matrix ◽  
Algebraic Equations ◽  
Chebyshev Series ◽  
Unknown Parameters ◽  
Orthogonal Functions ◽  
Domain Identification ◽  
Second Order Differential Equations ◽  
Block Pulse Functions

Abstract Orthogonal functions can be integrated using a so-called operational matrix. This characteristic transforms a set of second order differential equations into algebraic equations which are easily solved. In the case of mechanical systems the unknown parameters can be determined from these algebraic equations. For this purpose, the input and output signals have to be expanded in time orthogonal functions. This technique can be also applied for sensitivity analysis. In this paper Fourier series, Legendre polynomials, Jacobi polynomials, Chebyshev series, Block-Pulse functions and Walsh functions are used to expand the signals as time functions.

Escape System Trajectory Sensitivity Analysis.

1978 ◽  
Author(s):  
John J. Piacentino ◽  
James F. McEnerney ◽  
Gene C. Eberly
Keyword(s):  
Sensitivity Analysis ◽  
Trajectory Sensitivity ◽  
System Trajectory

Application of Trajectory Sensitivity for the Evaluation of the Effect of TCSC Placement on Transient Stability

2007 ◽  
Vol 8 (1) ◽  
Author(s):  
Dheeman Chatterjee ◽  
Arindam Ghosh
Keyword(s):  
Sensitivity Analysis ◽  
Power System ◽  
Transient Stability ◽  
Operating Conditions ◽  
Variable Capacitor ◽  
Trajectory Sensitivity ◽  
Thyristor Controlled Series Compensator ◽  
Bus System

This paper investigates the use of trajectory sensitivity analysis (TSA) technique for assessing the transient stability of a power system at various operating conditions. The effect of placement of a thyristor controlled series compensator (TCSC) as well as the influence of the change in firing angle is also discussed. The TCSC is modeled by a variable capacitor, the value of which changes with the firing angle. The systems studied are the WSCC 3-machine, 9-bus system and IEEE 16 machine 68 bus system. The results using TSA are validated by PSCAD/EMTDC simulation.

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