scholarly journals The Evaluation of Electric Power by Separate Analysis of Fourier Transform Components

2021 ◽  
Vol 60 (3) ◽  
pp. 133-139
Author(s):  
Ivan Kostiukov
Keyword(s):  
Fourier Transform ◽  
Reactive Power ◽  
Fourier Transforms ◽  
Complete System ◽  
Power Estimation ◽  
Separate Analysis ◽  
Trigonometric Functions ◽  
Instantaneous Power ◽  
Active And Reactive Power ◽  
Computational Procedures

This paper presents a substantiation of an approach for the evaluation of components of apparent power and intended to simplify the computational procedures which usually should be implemented in order to process the preliminary sampled waveform of instantaneous power. The results of carried out studies have shown that both active and reactive power can be calculated by the analysis of calculated components of sine and cosine Fourier transforms. This paper also presents the discussion of restrictions, which should be imposed on the duration of the analyzed signal and on frequencies of the auxiliary trigonometric functions, which are applied in order to calculate components of Fourier transform which are used for the evaluation of active and reactive power. The compliance with these restrictions allows us to eliminate the undesirable bias of active and reactive power estimation caused by the refusal from the decomposition of the analyzed waveform of the instantaneous power by applying the complete system of orthogonal trigonometric functions, as the evaluation of components of the apparent power is attained based on separate analysis of sine and cosine Fourier transforms calculated for the analyzed signal. The results of carried out simulations illustrate the frequency dependencies of sine Fourier transform calculated for the case of compliance with the restrictions, which allow to attain the highest accuracy of estimation and for the case when the duration of analyzed signal does not fit these restrictions.

The extended Fourier algorithm: Application in discrete optics and electron holography

1994 ◽  
Vol 52 ◽  
pp. 918-919
Author(s):  
E. Voelkl ◽  
L. F. Allard
Keyword(s):  
Fourier Transform ◽  
Fourier Transforms ◽  
Sampling Rate ◽  
Electron Holography ◽  
Optical Bench ◽  
Fourier Space ◽  
Ccd Cameras ◽  
Simulated Image ◽  
Initial Sampling ◽  
Fourier Algorithm

The conventional discrete Fourier transform can be extended to a discrete Extended Fourier transform (EFT). The EFT allows to work with discrete data in close analogy to the optical bench, where continuous data are processed. The EFT includes a capability to increase or decrease the resolution in Fourier space (thus the argument that CCD cameras with a higher number of pixels to increase the resolution in Fourier space is no longer valid). Fourier transforms may also be shifted with arbitrary increments, which is important in electron holography. Still, the analogy between the optical bench and discrete optics on a computer is limited by the Nyquist limit. In this abstract we discuss the capability with the EFT to change the initial sampling rate si of a recorded or simulated image to any other(final) sampling rate sf.

FLOW CONTROL ACTIVE AND REACTIVE POWER IN ELECTRIC NETWORKS

2016 ◽  
Vol 2016 (5) ◽  
pp. 61-63
Author(s):  
F.P. Govorov ◽  
◽  
V.F. Govorov ◽  
Keyword(s):  
Flow Control ◽  
Reactive Power ◽  
Electric Networks ◽  
Active And Reactive Power

Energy Bill Reduction by Optimizing Both Active and Reactive Power in an Electrical Microgrid

2020 ◽  
Vol 15 (6) ◽  
pp. 456
Author(s):  
Anis Boulal ◽  
Houssam Eddine Chakir ◽  
M'Hamed Drissi ◽  
Hamid Ouadi
Keyword(s):  
Reactive Power ◽  
Active And Reactive Power

Differentiation Coherence Algorithm for Steady Power Flow Control

2015 ◽  
Vol 9 (1) ◽  
pp. 107-116 ◽  
Author(s):  
Yang Liu-Lin ◽  
Hang Nai-Shan
Keyword(s):  
Flow Control ◽  
Extreme Point ◽  
Power Flow ◽  
Reactive Power ◽  
Small Deviation ◽  
Function Optimization ◽  
Flow Mode ◽  
Power Flow Control ◽  
Active And Reactive Power ◽  
Variable Inequality

This paper researched steady power flow control with variable inequality constraints. Since the inverse function of power flow equation is hard to obtain, differentiation coherence algorithm was proposed for variable inequality which is tightly constrained. By this method, tightly constrained variable inequality for variables adjustment relationships was analyzed. The variable constrained sensitivity which reflects variable coherence was obtained to archive accurate extreme equation for function optimization. The hybrid power flow mode of node power with branch power was structured. It also structured the minimum variable model correction equation with convergence and robot being same as conventional power flow. In fundamental analysis, the effect of extreme point was verified by small deviation from constrained extreme equation, and the constrained sensitivity was made for active and reactive power. It pointed out possible deviation by using simplified non-constrained sensitivity to deal with the optimization problem of active and reactive power. The control solutions for power flow for optimal control have been discussed as well. The examples of power flow control and voltage management have shown that the algorithm is simple and concentrated and shows the effect of differential coherence method for extreme point analysis.

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