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Research Papers

On the Wave Propagation of Disturbances in Homogeneous Electromechanical Systems

[+] Author and Article Information
Kalyan Dasgupta

e-mail: kaldag@ee.iitb.ac.in

S. A. Soman

Department of Electrical Engineering,
Indian Institute of Technology Bombay,
Mumbai 400076, India

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received October 7, 2012; final manuscript received May 12, 2013; published online July 9, 2013. Assoc. Editor: Philip Bayly.

J. Vib. Acoust 135(5), 051035 (Jul 09, 2013) (10 pages) Paper No: VIB-12-1283; doi: 10.1115/1.4024762 History: Received October 07, 2012; Revised May 12, 2013

In this paper, we make an attempt to describe the phenomenon of wave propagation when a disturbance is introduced in an electromechanical system having a lumped parameter representation. We initially discuss mechanical waves in homogeneous spring mass systems and then focus on electromechanical wave propagation in power systems. We primarily discuss ring and open end systems. Eigenvalue analysis of the system is done to find the behavior of the orthogonal modes as a function of time and space. We then derive an expression for velocity of propagation of the disturbance wave and the transport delay associated with it. Effects of system parameters, like generator inertia and transmission line resistance, are also discussed. Although the theory was developed considering homogeneous systems (identical values of inertia/mass, line parameters/spring constant, etc.), an implementation on a nonhomogeneous system is also presented in this paper. Numerical simulations were done and compared with the analytical results derived in this paper.

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Figures

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Fig. 1

Spring mass system having a ring structure

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Fig. 3

Power system having a ring structure

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Fig. 2

(a) Disturbance due to the waves in the forward direction. (b) Disturbance due to the waves in the reverse direction.

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Fig. 4

Open-end power system

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Fig. 5

(a) Eigenvector (mode shape) corresponding to the mode having participation only in the first 17 generators. (b) Eigenvector corresponding to the mode having participation in all the 33 generators.

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Fig. 8

Responses of generators 8,6,3,1, and 2 in the 39-bus system

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Fig. 6

Responses of 10th–16th generators in the 17-generator ring system

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Fig. 7

Single line diagram of the 39-bus system

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