A Newton type algorithm for calculation of power system transfer function zeros

Author(s):  
D.M. Lam
Author(s):  
Chingyei Chung ◽  
Chin-yuh Lin

Abstract In this paper, the physical meaning of transfer function zeros for collocated control in a general flexible structure system is discussed. For a flexible structure system, we propose the “Zero Dynamic Theorem”. The theorem states that in a flexible structure system, the flexible structure can be a circulatory system (non-sysmetric stiffness matrix) with viscous and gyroscopic damping (non-symmetric damping matrix), if the sensor output (generalized displacement) and the actuator input (generalized force) are “dual type” and the transfer function is strict proper and coprime (no pole/zero cancellation); then, the transfer function zeros are the natural frequencies of constrained structure. Furthermore, with this theorem, the interlacing pole/zero property for the gyroscopic systems is presented.


Instruments ◽  
2020 ◽  
Vol 4 (3) ◽  
pp. 22
Author(s):  
Yu-Chung Lin ◽  
Joseph V. Sinfield

The emergence of a wide variety of relatively low-cost compact spectrometers has led to an increase in the use of spectroscopic techniques by researchers in a broad array of fields beyond those that have traditionally employed these analytical methods. While the fundamental elements and functions of Raman systems are generally consistent, the specific components that compose a system may vary in number, design, and configuration, and researchers often modify off-the-shelf spectrometers for unique applications. Understanding the effect of instrument design and components on acquired information is thus crucial and provides the prospect to optimize the system to individual needs and to properly compare results obtained with different systems while also reducing the potential for unintended misinterpretation of data. This paper provides a practical treatment of the influences in a typical compact spectroscopy system that can impact the extent to which the output of the system is representative of the observed environment, a relationship that in measurement science is classically termed the system transfer function. For clarity, the transfer function is developed in terms of traditional Raman output parameters, namely intensity, wavelength, and time.


1991 ◽  
Vol 113 (3) ◽  
pp. 419-424 ◽  
Author(s):  
D. K. Miu

Physical interpretation of the transfer function zeros of simple control systems with mechanical flexibilities is presented. It is shown that for discrete spring-mass systems and elastic beams, the poles are the resonant frequencies of the flexible structure and the complex conjugate zeros are the resonant frequencies of a substructure constrained by the sensor and actuator. It is also shown that when the flexible control systems become nonminimum phase, the real zeros are the results of nonpropagation of energy within the substructure.


2007 ◽  
Vol 78 (2) ◽  
pp. 025104 ◽  
Author(s):  
H. Olkkonen ◽  
J. T. Olkkonen

1993 ◽  
Vol 8 (3) ◽  
pp. 1282-1290 ◽  
Author(s):  
J.R. Smith ◽  
F. Fatehi ◽  
C.S. Woods ◽  
J.F. Hauer ◽  
D.J. Trudnowski

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