scholarly journals A new approach to overcome the imbalance in three-phase systems using the new proposed fractional-polynomial functions

2019 ◽  
Vol 643 ◽  
pp. 012091
Author(s):  
V Q Sy
Keyword(s):  
Polynomial Functions ◽  
New Approach ◽  
Fractional Polynomial ◽  
Three Phase ◽  
Phase Systems

scholarly journals New proposed fractional-polynomial functions: new recommendation for overcome the imbalance in three-phase systems

2021 ◽  
Vol 12 (4) ◽  
pp. 2243
Author(s):  
Q. S. Vu ◽  
Bui Vu Minh ◽  
Minh Tran ◽  
N.V. Korovkin
Keyword(s):  
Transmission Lines ◽  
Reactive Power ◽  
Electrical Equipment ◽  
Reactive Power Compensation ◽  
Polynomial Functions ◽  
Power Losses ◽  
Fractional Polynomial ◽  
Three Phase ◽  
Phase Systems ◽  
Optimal Calculation

Non-linear loads or load imbalances, etc., are the typical causes of asymmetric operation of three-phase systems. The appearance of inverse (positive) and homopolar (zero) symmetric components cause damage to the systems and electrical equipment and increase the power losses on the transmission lines. Reactive power compensation is one of the solutions that can overcome this asymmetry. The difficulty that exists in many different methods is the optimal calculation of the value of the compensator. In this paper, a new method to overcome these problems is proposed and investigagted. The proposed method is based on the fundamental electrical quantities (voltages and currents) on the controllable values of the static compensation devices and overcoming of the asymmetric operation regime in the three-phase systems.

scholarly journals Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

Mathematics ◽  
2021 ◽  
Vol 9 (11) ◽  
pp. 1259
Author(s):  
Francisco G. Montoya ◽  
Raúl Baños ◽  
Alfredo Alcayde ◽  
Francisco Manuel Arrabal-Campos ◽  
Javier Roldán Roldán Pérez
Keyword(s):  
Geometric Algebra ◽  
Dimensional Euclidean Space ◽  
Active Components ◽  
Electrical Circuits ◽  
Current Harmonics ◽  
Operation Conditions ◽  
Multiple Phase ◽  
Three Phase ◽  
Phase Systems ◽  
Definition Of

This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra power theory (GAPoT) to multiple-phase systems. A definition of geometric apparent power for three-phase systems, that complies with the energy conservation principle, is also introduced. Power calculations are performed in a multi-dimensional Euclidean space where cross effects between voltage and current harmonics are taken into consideration. By using the proposed framework, the current can be easily geometrically decomposed into active- and non-active components for current compensation purposes. The paper includes detailed examples in which electrical circuits are solved and the results are analysed. This work is a first step towards a more advanced polyphase proposal that can be applied to systems under real operation conditions, where unbalance and asymmetry is considered.

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