APPLICATION OF CYCLOSTATIONARY PROPERTIES OF PERIODIC SIGNALS FOR POWER ANALYSIS IN ELECTRIC CIRCUITS

Author(s):  
Т.Я. ШЕВГУНОВ ◽  
О.А. ГУЩИНА

Предложен циклостационарный подход к анализу мощности электрических цепей, возбуждаемых источниками периодических токов и напряжений. Получены теоретические выражения для характеристик мгновенной мощности на основе взаимной спектральной ковариационной функции и показана их связь со средней и полной мощностью. Проведен анализ гармонического распределения мощности в линейной цепи при периодическом воздействии. На примере численного расчета резонансной цепи продемонстрированы этапы циклостационарного анализа и получены основные характеристики мощности. The paper proposes a cyclostationary approach to the power analysis for electric circuits excited by sources of periodic currentsorvoltages.Theformalexpressions forcharacteristics of instantaneous power are obtained on the basis of cross spectral covariance function and their relation to the average and apparent power is established. The analysis of the harmonic distribution of the power in a linear circuit under periodic excitation is carried out. The main stages of the method are illustrated with a numerical simulation example.

Author(s):  
Adlan Bagus Pradana ◽  
Unan Yusmaniar Oktiawati ◽  
Jimmy Trio Putra ◽  
Dhanis Woro Fittrin Selo Nur Giyatno ◽  
Atikah Surriani

In electrical engineering, there are several power terms; active power, reactive power, instantaneous active power, instantaneous active power, instantaneous power, apparent power and complex power. Even though are used in daily activity, electrical practitioners are facing difficulty to explain those terms practically. This paper tries to solve those difficulty by interpret those term in practical way. Firstly, each power term are defined theoretically. Then those terms are presented mathematically. Next, power in single phase sinusoidal electric network is analyzed. Theoretical definition result is connected with power analysis result. Computer simulations are held to strengthen interpretation result. Considering the width of discussion area, this paper only covers most general application, that is single phase sinusoidal network.


2016 ◽  
Vol 60 (4) ◽  
pp. 592-604 ◽  
Author(s):  
Muhammad Irfan ◽  
Nordin Saad ◽  
Rosdiazli Ibrahim ◽  
Vijanth Sagayan Asirvadam ◽  
Muawia Magzoub

2005 ◽  
Vol 2005.11 (0) ◽  
pp. 435-436
Author(s):  
Kazumasa Furuta ◽  
Masato Ogawa ◽  
Masahiro Watanabe ◽  
Nobuyuki Kobayashi

2005 ◽  
Vol 2005.7 (0) ◽  
pp. 323-324
Author(s):  
Masato OGAWA ◽  
Kazuma FURUTA ◽  
Masahiro WATANABE ◽  
Nobuyuki KOBAYASHI ◽  
Hideaki TANAKA

2015 ◽  
Vol 28 (6) ◽  
pp. 1259-1267 ◽  
Author(s):  
Muhammad Irfan ◽  
Nordin Saad ◽  
Rosdiazli Ibrahim ◽  
Vijanth S. Asirvadam

2021 ◽  
Vol 11 (20) ◽  
pp. 9711
Author(s):  
Timofey Shevgunov ◽  
Oksana Guschina ◽  
Yury Kuznetsov

This paper proposes a cyclostationary based approach to power analysis carried out for electric circuits under arbitrary periodic excitation. Instantaneous power is considered to be a particular case of the two-dimensional cross correlation function (CCF) of the voltage across, and current through, an element in the electric circuit. The cyclostationary notation is used for deriving the frequency domain counterpart of CCF—voltage–current cross spectrum correlation function (CSCF). Not only does the latter exhibit the complete representation of voltage–current interaction in the element, but it can be systematically exploited for evaluating all commonly used power measures, including instantaneous power, in the form of Fourier series expansion. Simulation examples, which are given for the parallel resonant circuit excited by the periodic currents expressed as a finite sum of sinusoids and periodic train of pulses with distorted edges, numerically illustrate the components of voltage–current CSCF and the characteristics derived from it. In addition, the generalization of Tellegen’s theorem, suggested in the paper, leads to the immediate formulation of the power conservation law for each CSCF component separately.


2013 ◽  
Vol 340 ◽  
pp. 611-616
Author(s):  
Qiong Feng Zhu ◽  
Xun Bo Fu ◽  
Shu Ju Hu ◽  
Bin Zhao

Presently, with regard to the research in control of three-phase PWM-VSC under unbalanced dips, most of the literatures gain the current commands through the phase voltages based on the PQ power theory and the control flow is complicate too much. This paper, based on the instantaneous power analysis of VSC grid-side, calculate the current commands through line voltages and use the line voltages instead of the phase voltages in the feedforward. Not only the equation of current commands calculation is simplified, but also avoids the transformation of line voltages to phase voltages. In addition, this method adopts neither PLL nor coordinate transformation, and current sequential extraction is eliminated by adopting the PR controller in the current loop. In the end, the simulation results testify the efficiency of the proposed scheme in resisting grid voltage harmonics and nullifying fluctuation of dc-voltage.


Sign in / Sign up

Export Citation Format

Share Document