QUALITATIVE AND QUANTITATIVE ASPECTS OF THE PHEROMONON RESONANCE PHENOMENON IN LOW VOLTAGE ELECTRICAL INSTALLATIONS

Authors

  • EMIL CAZACU Facultatea de Inginerie Electrică, Universitatea POLITEHNICA București
  • LUCIAN PETRESCU Facultatea de Inginerie Electrică, Universitatea POLITEHNICA București

DOI:

https://doi.org/10.36801/

Keywords:

Ferroresonance, Low voltage electrical installations

Abstract

The ferroresonance phenomenon is generated by the interaction between nonlinear magnetic devices and capacitive elements in an electrical installation in which losses are reduced and constantly supplied by at least one energy source. Feroresonance is manifested by the appearance of overvoltages and overcurrents in the installation with strongly distorted waveforms. The phenomenon is also accompanied by other disturbances in the quality of electricity (voltage fluctuations, asymmetries, noise, etc.), which propagate in the network affecting the proper functioning of the entire installation. In addition, unlike linear resonance, ferroresonance allows the manifestation of several stable states (modes) for the same parameters of the network, these being imposed by the initial conditions in the installation and the moment of occurrence of the phenomenon. Although this phenomenon was relatively specific to high or medium voltage networks, the imposition of new regulations that provide for the use of electrical equipment with high energy efficiency, created the conditions for this phenomenon to occur in low voltage installations. Thus, the vulnerability to the low resonance of a low voltage installation has become an indicator of electricity quality. This paper presents a procedure for calculating and investigating this phenomenon based on the analysis of numerical solutions of differential equations (nonlinear and non-autonomous) systems, which models the transient phenomena that initiate the appearance of ferroresonance (usually switching processes). Also, modern means of investigation are used (3D visualizations in the phase plan or Poincaré diagrams), imposed by the difficulty of the quantitative analysis both in the dynamic regime and in the stationary regime of ferroresonance. In addition, methods and procedures are proposed to mitigate the effects of the ferroresonance phenomenon on equipment or network elements in electrical distribution installations.

References

(1) S. Mehta, P. Panwar, Ferroresonance: An Insight into the Phenomenon, International Journal of Advance Engineering and Research Development, vol. 4, no. 10, pp. 498-504, 2017.

(2) E. Price, A tutorial on ferroresonance Proceeding on 67th Annual Conference for Protective Relay Engineers, pp. 676 - 704, 2014.

(3) S. Hassan, M. Vaziri, S. Vadhva, Review of ferroresonance in power distribution grids, IEEE International Conference on Information Reuse & Integration, pp. 444-448, Las Vegas, NV, USA, 2011.

(4) M. A. S. Masoum, E. Fuchs, Power Quality in Power Systems and Electrical Machines, 2nd Ed. Elsevier Academic Press, 2015, pp. 145.

(5) P. Ferracci, Ferroresonance, Schneider Electric, Cahier technique no. 199, 2001.

(6) J. Wiśniewski, E. Anderson, J. Karolak, Susceptibility of the electrical network to ferroresonance occurrence, Computer Applications in Electrical Engineering, vol. 8, pp. 46—52, 2010.

(7) V. Simha, W. Lee, The jump phenomena, IEEE Industry Appl. Mag., vol. 14, no. 5, pp. 53–59, Oct. 2008.

(8) R. A. Walling, Ferroresonance in low-loss distribution transformers, IEEE Power Engineering Society General Meeting, vol. 2, pp. 1220-1222, Toronto, Canada, 2003.

(9) M. Hajizadeh, I. Safinejad, N. Amirshekari, Study and comparison of the effect of conventional, low losses and amorphous transformers on the ferroresonance occurrence in electric distribution networks, CIRED - Open Access Proceedings Journal, vol. 2017, no. 1, pp. 865-869, 10 2017.

(10) B. A. Mork and D. L. Stuehm, Application of nonlinear dynamics and chaos to ferroresonance in distribution systems, IEEE Trans. Power Deliv., vol. 9, no. 2, pp. 1009–1017, Apr. 1994.

(11) M. R. Iravani et al., Modeling and analysis guidelines for slow transients-Part III. The study of ferroresonance, IEEE Trans. Power Deliv., vol. 15, no. 1, pp. 255–265, 2000.

(12) J. A. Corea-Araujo et al., Tools for characterization and assessment of ferroresonance using 3-D bifurcation diagrams, IEEE Trans. on Power Delivery, vol. 29, no. 6, pp. 2543-2551, December 2014.

(13) F. Wörnle, D. K. Harrison, C. Zhou, Analysis of a ferroresonant circuit using bifurcation theory and continuation techniques, IEEE Trans. on Power Delivery, vol. 20, no. 1, pp. 191- 196, January 2005.

(14) M. Tajdinian, et al., Probabilistic framework for vulnerability analysis of coupling capacitor voltage transformer to ferroresonance phenomenon," IET Science, Measurement & Technology, vol. 14, no. 3, pp. 344-351, 2020.

(15) A. Tokić, J. Smajić, Modeling and Simulations of Ferroresonance by Using BDF/NDF Numerical Methods, IEEE Trans. on Power Del., vol. 30, no. 1, pp. 342-350, 2015.

(16) D. A. N. Jacobson, P. W. Lehn, R. W. Menzies, Stability domain calculations of period-1 ferroresonance in a nonlinear resonant circuit, IEEE Trans. Power Deliv., vol. 17, no. 3, pp. 865–871, Jul. 2002.

(17) P. S. Moses, M. A. S. Masoum, Experimental and simulation analysis of ferroresonance in single-phase transformers considering magnetic hysteresis effects, IEEE Power Engineering Society General Meeting, pp. 1-6, July 2010.

(18) E. Cazacu, V. Ioniță, L. Petrescu, An efficient method for investigating the ferroresonance of single-phase iron core devices, 10th IEEE Int. Symp. on Advanced Topics in Elect. Eng. (ATEE 2017), Bucharest, pp. 363-368, 2017.

(19) E. Cazacu, L. Petrescu, V. Ioniță, Ferroresonance modes determination of single-phase toroidal transformers, 15th IEEE International Conf. on Electrical Machines, Drives and Power Systems (ELMA2017), Sofia, pp. 358-361, 2017.

(20) E. Hairer, C. Lubich, M Roche, The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Springer-Verlag Berlin Heidelberg, 1989

(21) C. Schneider, Rosenbrock-Type Methods Adapted to Differential-Algebraic Systems, Mathematics of Computation, vol. 56, no. 193, pp. 201-213, 1991.

Published

10.02.2021

Issue

Section

APME - general

How to Cite

QUALITATIVE AND QUANTITATIVE ASPECTS OF THE PHEROMONON RESONANCE PHENOMENON IN LOW VOLTAGE ELECTRICAL INSTALLATIONS. (2021). ELECTRICAL MACHINES, MATERIALS AND DRIVES — PRESENT AND TRENDS, 16(1), 76-92. https://doi.org/10.36801/