Analysis of Electrical Networks Using Phasors: A Bond Graph Approach

This paper proposes a phasor representation of
electrical networks by using bond graph methodology. A so-called
phasor bond graph is built up by means of two-dimensional bonds,
which represent the complex plane. Impedances or admittances are
used instead of the standard bond graph elements. A procedure to
obtain the steady-state values from a phasor bond graph model is
presented. Besides the presentation of a phasor bond graph library in
SIDOPS code, also an application example is discussed.





References:
[1] Chas. Proteus Steinmetz, "Complex Quantities and their use in Electrical
Engineering”, Proceedings of the International Electrical Congress, AIEE Proceedings, 1893, pp. 33-74.
[2] Paynter, H. M., Analysis and Design of Engineering Systems, MIT
press, 1961.
[3] A. Veltman, D.W.J. Pulle, and R.W. De Doncker,
Electrical Drives, Springer, 2007.
[4] Hadi Saadat, Power System Analysis, McGraw-Hill, New York, 1999.
[5] Mohamed E. El-Hawary, Electrical Power Systems John Wiley & Sons,
New York, 1995.
[6] Stephen J. Chapman, Electric Machinery Fundamentals, 4th edition,
McGraw-Hill, New York, 2005.
[7] C. Sueur, G. Dauphin-Tanguy, "Structural controllability/observability
of linear systems represented by bond graphs”, Journal of the Franklin
Institute, 326(6), 869–883, 1989.
[8] Kypuros, Javier A., System Dynamics and Control with Bond Graph
Modeling, Taylor & Francis Group, 2013, USA.
[9] Wolfgang Borutzky, Bond Graphs: A Methodology for Modelling
Multidisciplinary Dynamic Systems, Springer, London, 2010.
[10] L. S. Bonderson, "Vector Bond Graphs Applied to One-Dimensional
Distributed Systems”, 1975, J. Dyn. Sys. Meas. Control 97(1), 75-82.
[11] P.C Breedveld, "Multibond graph elements in physical systems theory”,
Journal of the Franklin Institute, 1985, 319(1/2):1–36.
[12] Controllab Products B.V., 20-sim®, http://www.20sim.com/.