Chaotic Modeling of Ferroresonance with Single-Phase Open in a Three-Phase System and Its Fractional-Order Control

2021 ◽  
Vol 31 (08) ◽  
pp. 2150118
Author(s):  
Ali̇ Durdu ◽  
Yilmaz Uyaroğlu
Keyword(s):  
Power Systems ◽  
Fractional Order ◽  
Chaotic System ◽  
Single Phase ◽  
Duffing Oscillator ◽  
Phase System ◽  
Fractional Order Control ◽  
Practical Applications ◽  
Mathematical Expressions ◽  
Three Phase

In this study, a chaos-theoretic method is proposed to model the case of ferroresonance that can occur under nominal conditions in power systems, and the factors that determine the types of ferroresonance to occur are examined. In the ferroresonance chaotic system modeled in Matlab environment, the length of the transmission line and the breaker capacities in the circuit are fixed and its relationship with the transformer efficiency is investigated. In the proposed chaotic modeling, considering the situations that may occur in practical applications, the ferroresonance situations that occur when the single-phase remains open in the three-phase system are examined. In the study, ferroresonance, which occurs when one phase is open in a three-phase system, is analyzed by considering the situations that may happen during practical implementations. The similarity between the mathematical expressions obtained from the systems that create ferroresonance and Duffing oscillator is evaluated. In the chaotic system, fundamental ferroresonance, subharmonic ferroresonance, and chaotic ferroresonance situations are created depending on the transformer loss. Additionally, ferroresonance that occurs when the chaotic system is of fractional-order is analyzed, and it is observed that results of ferroresonance with different fractional-order values are not different. The results show that transformer loss is a significant element to determine the type of ferroresonance in power transformers. Also, when the chaotic system is operated in the fractional-order setting, the ferroresonance cases that occur are re-examined, and it is observed that the system can exit from the chaotic situation and prevent the formation of ferroresonance when fractional-order control is applied. According to the results, the fractional-order method can be used to control ferroresonance.

scholarly journals Arduino Mega Based Current Recorder Prototype Implementation

2021 ◽  
Vol 19 (1) ◽  
pp. 59-70
Author(s):  
Waluyo ◽  
Siti Saodah ◽  
Yogi Wibisono
Keyword(s):  
Power Systems ◽  
Single Phase ◽  
Phase System ◽  
Data Logger ◽  
Reference Instrument ◽  
Three Phase ◽  
Current Measuring ◽  
Phase Systems ◽  
Sd Card ◽  
Prototype Instrument

Current measurements in electric power systems are important aspects, both for monitoring and protection. The researchers have designed, created and tested a digital current measuring and recording prototype instrument. The current signals were sensed by the split-core current transformers, entered to the signal conditioning, to the main Arduino Mega 2560 microcontroller, and finally to the three outputs, namely a PC monitor, SD card data logger and LCD. It was tested and the results were compared to the computation results and the clamp ammeter readings, as the reference instrument. On both single and three phase systems, the absolute deviations would considerably rise and the relative deviations would slightly reduce as the load currents increased. Nevertheless, the values on both systems were not exactly same. For the single phase, the average absolute and relative deviation slopes were 0.156548 A/kW and -0.0020772 %/kW respectively. On other hand, for the three phase system, they were 0.12372 A/kW and -0.04176 %/kW respectively. The relative deviations to the computation results were under 6%, tended to be 3%, and the relative deviations to the reference instrument readings were under 3%, tended to be 1%, as the load increased.

Power Invariance Transformation in Power Systems

2000 ◽  
Vol 37 (2) ◽  
pp. 180-189
Author(s):  
J. Heydeman ◽  
W. W. Schongs
Keyword(s):  
Power Systems ◽  
Single Phase ◽  
Positive Sequence ◽  
Equivalent Representation ◽  
Symmetrical Components ◽  
Three Phase ◽  
Sequence Components ◽  
Invariance Transformation

Many textbooks describe a balanced three-phase circuit by a single-phase equivalent representation. Confusion may arise amongst students regarding per-unit values of line-to-line voltages and phase voltages and, therefore, about the magnitudes of currents and powers. This paper proposes that students must first be taught symmetrical components based on power invariance transformation. A balanced three-phase circuit is to be described only in terms of positive sequence components. In the authors' experience, students understand this approach better and make fewer errors in per-unit calculation than when they use the single-phase equivalent representation.

scholarly journals Design and analysis of a Three Phase Transformerless Hybrid Series Active Power Filter based on sliding mode control using PQ-theory and stationary reference frames

2019 ◽  
Vol 16 (3) ◽  
pp. 289-310 ◽  
Author(s):  
Vinay Naguboina ◽  
Satish Gudey
Keyword(s):  
Power Quality ◽  
Single Phase ◽  
Sliding Mode ◽  
Active Power Filter ◽  
Constant Load ◽  
Active Power ◽  
Phase System ◽  
Load Voltage ◽  
Power Filter ◽  
Three Phase

In this work, a Three phase Transformerless Hybrid Series Active Power Filter (THSeAF) based on Sliding Mode Control (SMC) is proposed to mitigate the voltage and current distortions present in an electrical distribution systems (EDS). A Sliding Mode Controller is designed by controlling the parameters present on the load side as well as source side of the system. Three separate voltage source converters (VSC) are used. The mod1elling of the system is derived by considering a single-phase system by using state space analysis. The frequency response characteristics have been derived for the single-phase system and the stability of the system is studied. It is observed that the system has good stability margins when the SMC is applied at the source side compared to load side. Simulation results obtained in PSCAD/EMTDC v4.6 have been observed for power quality issues like voltage sags, voltage swells, voltage distortions, voltage unbalances and their concurrent occurrence. The approach of stationary reference frame was used for source side control and PQ theory is used for load side control. It is observed that the proposed controller works well in obtaining a stable and constant load voltage during these power quality issues. The difference in settling time observed is around 4 ms for the load side and source side control. The THD present in the load voltage is near about 1%. The SMC is found to be robust in obtaining a constant load voltage with low THD and an improved power factor.

The Economic Operation of Common Coupling Groups of Distribution Transformer

2014 ◽  
Vol 521 ◽  
pp. 288-291
Author(s):  
Yu Sheng Quan ◽  
Xin Zhao ◽  
Hua Gui Chen ◽  
En Ze Zhou
Keyword(s):  
Single Phase ◽  
Short Circuit ◽  
Phase System ◽  
Distribution Transformer ◽  
Three Phase ◽  
Unbalanced Load ◽  
Transformer Coupling ◽  
The Difference ◽  
Short Circuit Fault ◽  
Better Than

Based on the method of symmetrical components of D, 11 and Y, o distribution transformer coupling two different effects of different magnetic circuit coupled to the three-phase system with a system-generated analysis and comparison. Analysis of the difference between the two groups of different connections on the transformer structure. Described in the single-phase short circuit fault clearing, 3n harmonic current suppression and affordability aspects of single-phase unbalanced load, D, ll coupling transformers are significantly better than Y,0 coupling transformer. This has necessarily important for the study of energy loss reduction.

Sensitivity of Induction Motor under Symmetrical Voltage Sags and Interruption

2014 ◽  
Vol 875-877 ◽  
pp. 1923-1928 ◽  
Author(s):  
Surya Hardi ◽  
Ismail Daut ◽  
Ismail Rohana ◽  
Muhd Hafizi
Keyword(s):  
Power Systems ◽  
Distribution Systems ◽  
Single Phase ◽  
Induction Motors ◽  
Short Circuit ◽  
Inrush Current ◽  
Voltage Sags ◽  
Three Phase ◽  
Nominal Voltage ◽  
Transmission And Distribution

Voltage sags and interruption are one of most important of power quality problems. They can influence performance of equipment such as induction motors. They are generally caused by short circuit faults in transmission and distribution systems which propagate in entire of power systems. When their appear at a motor terminal, its effects are the speed and the torque will decrease to a level lower than values of the normal and even the motor become stall if magnitude of the voltage sags and duration exceed certain limit. The voltage can return to nominal voltage after end of the voltage sag and interruption. The motor will experience re-acceleration to normal condition is accompanied by large inrush current. A study on induction motors was carried out to confirm these effects. Single-phase and three-phase of small induction motors were used for investigating the effects caused by symmetrical voltage sags and interruption through experimental and simulation.

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