Digital Processing and Reconstruction of Complex Signals (eBook)

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