Investigation of Ferroresonance Mitigation Techniques in Voltage Transformer Using ATP-EMTP Simulation

2013 ◽  
Vol 64 (4) ◽  
Author(s):  
Zulkurnain Abdul-Malek ◽  
Kamyar Mehranzamir ◽  
Behnam Salimi ◽  
Hadi Nabipour Afrouzi ◽  
Saeed Vahabi Mashak

Ferroresonance is a complex nonlinear electrical phenomenon that can cause dielectric and thermal problems for electrical equipment. Electrical systems with ferroresonant behavior are nonlinear dynamical systems. The ferroresonance phenomenon may take place when the core of an inductive device becomes saturated, and its current flux characteristic becomes nonlinear. While in the case of a linear resonant circuit the resonance frequency is well defined, in the case of a nonlinear circuit, the oscillations may exist at various frequencies, depending on many factors of the particular case. In this paper, ferroresonance phenomenon and its mitigation techniques in 33 kV/110 V voltage transformers (VT) were studied using ATP-EMTP simulation. Initial investigations were carried out for the VT failures occurred at one substation in Malaysia. Physical and burn characteristics of the failed VTs were studied. Simulation results show that ferroresonance cannot be proven to have occurred at the VT due to switching operations since one precondition, namely the critical capacitance, could not have been satisfied. However, in the event of a ferroresonance occurring, several mitigation techniques such as using load resistors, proper grounding sequence, reconfiguration of VT connection, and overcurrent and overvoltage protection can be implemented.

Author(s):  
Ray Huffaker ◽  
Marco Bittelli ◽  
Rodolfo Rosa

In this chapter, we describe how highly erratic dynamic behavior can arise from a nonlinear logistic map, and how this apparently random behavior is governed by a surprising order. With this lesson in mind, we should not be overly surprised that highly erratic and random appearing observed data might also be generated by parsimonious deterministic dynamic systems. At a minimum, we contend that researchers should apply NLTS to test for this possibility. We also introduced tools to analyze dynamic behavior that form the foundation for NLTS. In particular, we have stressed the quite unexpected capability to achieve some form of predictability even with only one trajectory at hand. In subsequent chapters, we treat known nonlinear dynamical systems as unknown, and investigate how NLTS methods rely on a single solution (or multiple solutions) generated by them to reconstruct equivalent systems. This is a conventional approach in the literature for seeing how NLTS methods work since we know what needs to be reconstructed.


Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1329
Author(s):  
Lev Ryashko ◽  
Dmitri V. Alexandrov ◽  
Irina Bashkirtseva

A problem of the noise-induced generation and shifts of phantom attractors in nonlinear dynamical systems is considered. On the basis of the model describing interaction of the climate and vegetation we study the probabilistic mechanisms of noise-induced systematic shifts in global temperature both upward (“warming”) and downward (“freezing”). These shifts are associated with changes in the area of Earth covered by vegetation. The mathematical study of these noise-induced phenomena is performed within the framework of the stochastic theory of phantom attractors in slow-fast systems. We give a theoretical description of stochastic generation and shifts of phantom attractors based on the method of freezing a slow variable and averaging a fast one. The probabilistic mechanisms of oppositely directed shifts caused by additive and multiplicative noise are discussed.


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