Petrovic / Stevanovic Digital Processing and Reconstruction of Complex Signals

1. Auflage 2010
ISBN: 978-3-642-03843-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 123 Seiten

In real electronic systems, voltage and current signals are not necessarily of a periodical quantity, due to the presence of nonharmonic components or/and possible stochastic variation. This book presents in three parts methods for analyzing and processing and reconstructing complex signals. The first part of this book is dedicated to the problem of measurements of the basic electric quantities in electric utilities, both from the aspect of accuracy of this type of measurements and the possibilities of simple and practical realization. The second part presents a reconstruction of trigonometric polynomials, a specific class of band-limited signals, from a number of integrated values of input signals. The third part deals with the problem of estimating the value of the active power of the ac signal in the presence of subharmonics and interharmonics. The analysis makes use of the most general model of the voltage and current signal, i.e. the most complex spectral content that can be expected to appear in practice.

Autoren/Hrsg.

Petrovic, Predrag B.

Stevanovic, Milorad R.

Inhaltsverzeichnis

1;Table of contents
;5
2;PREFACE;7
3;1.INTRODUCTION;8
3.1;1.1 Basic Principles of the Suggested Measuring Method;9
3.2;1.2 Mathematical Proof of Justification of the Suggested Measuring Method ;14
3.3;1.3 Mathematical Proof of Correctness in the Active Power Processing;17
3.3.1;1.3.1. Analysis of the Numerical Procedures Suggested in the Processing of Periodic Signals ;21
3.4;1.4 Adaptability of the Suggested Algorithm Used for Measuring Electric Values in Electric Utilities
;22
3.5;1.5 Analysis of Possible Sources of Errorsin Digital Processing With a Suggested Measurement Concept ;24
3.5.1;1.5.1 Simulation Results;29
3.5.2;1.5.2 Analysis of the Error Caused by Imprecision in Determining Sampling Interval;30
3.6;1.6 Simulation of the Suggested Measuring Method in the Matlab Program Package;36
3.6.1;1.6.1 TheSoftware Testing of the Suggested Measuring Concept of Electrical Values Based on Measurement Results in RealElectric Utilities
;41
3.7;1.7 Practical Realization of the Suggested DigitalMeasuring System;44
3.8;1.8 Results of Practical Measurements with Realized Digital Wattmeter;52
3.9;References;58
4;2.DIGITAL PROCESSING OFSYNCHRONOUSLY SAMPLED AC SIGNALS INPRESENCE OFINTERHARMONICS AND SUBHARMONICS;61
4.1;2.1 Synchronous Sampling in the Presence of Subharmonics and Interharmonics;62
4.1.1;2.1.1 Derived Conditions for Precisely Processing;70
4.1.2;2.1.2 Asynchronous Sampling;72
4.2;2.2 Simulation Results;73
4.3;2.3 Calculation of the Truncation Errors in Case of Asynchronous Sampling of Complex AC Signals
;76
4.3.1;2.3.1 Analysis of Worst-Case Errors;76
4.3.1.1;2.3.1.1 Average Method;78
4.3.1.2;2.3.1.2 Trapezoidal Method;79
4.3.1.3;2.3.1.3 Stenbakken's Compensation
;80
4.3.1.4;2.3.1.4 Zu-Liang Compensation;80
4.3.1.5;2.3.1.5 AverageMethod- approximate expression
;81
4.3.1.6;2.3.1.6 Trapezoidal Method- approximate expression;81
4.3.1.7;2.3.1.7 Stenbakken's Compensation- approximate expression
;81
4.3.1.8;2.3.1.8 Zu-LiangCompensation- approximate expression;82
4.3.2;2.3.2 Simulation Results;82
4.4;References;86
4.5;Appendix A;87
5;3. RECONSTRUCTION OF NONUNIFORMLY SAMPLED AC SIGNALS;89
5.1;3. 2. Proposed Method of Processing;91
5.1.1;3.2.1 The Determinants ofthe Van der Monde Matrix;92
5.1.2;3.2.2 Reconstruction of Band Limited Signals in Form ofFourier Series;93
5.2;3.3. Simulation Result and Error Analysis;98
5.3;3.4. Possible Hardware Realization of the Proposed Method of Processing;102
5.4;References;105
6;4. A NEW METHOD FOR PROCESSING OF BASIC ELECTRICAL VALVES BASED ON DEFINITION FORMULA IN TIME DOMAIN
;115
6.1;4. 1. Suggested Method of Processing;115
6.1.1;4.1.1 Estimation ofMeasuring Uncertainty;118
6.2;4.2. Simulation of the Suggested Measuring Method;118
6.3;4.3. Practical realization of proposed algorithm;120
6.4;4.4. Experimental Results;122
6.5;References;124