Processing, Estimation and Measurement of Signals Parameters in Public Distribution Networks (Studies in Systems, Decision and Control, 502)

The book addresses a relevant field of digital processing and measurement of signals in distribution networks. The importance of the covered topic is evidenced by extensive foreign and domestic professional literature, in the form of publications in leading international journals, and numerous professional and scientific books. For the past two decades, the author has published a number of papers both in international journals and at leading world conferences, further verifying the results he has achieved in this field. It should be noted that he is also the holder of several national patents, which were created precisely as a result of working on the problems of processing complex signals of voltage and current. Readers of this book will be the students of master and doctoral studies both in the country and abroad and experts in the field of signal processing. It is a valuable source for future authors of professional and scientific papers, as a basis on which to start when developing completely new techniques for processing complex signals not only in the power system, but also in other fields of engineering and everyday life. Preface Contents 1 New Measurement Procedures Based on Measurements on Time Interval 1.1 Accurate Active Power Calculation 1.2 Estimation of Measuring Uncertainty 1.3 Simulation and Experimental Verification of the Proposed Algorithm 1.3.1 Model of Sigma-Delta ADC 1.3.2 Simulation Results 1.3.3 Experimental Verification References 2 A Simple Algorithm for Simultaneous Sine Signal Parameters Estimation 2.1 Suggested Method of Processing 2.1.1 Recursion of FIR Differentiator Coefficients 2.1.2 SQNR 2.2 Simulation Results References 3 Algorithm for Fourier Coefficient Estimation 3.1 Problem Formulation 3.1.1 The Determinants of the Van der Monde Matrix 3.1.2 Derivation of the New Relations for Solving of the Observed System of Equations 3.1.3 Verification of Derived Relations 3.2 Proposed Reconstruction Algorithm and Uncertainty Analysis 3.2.1 Numerical Complexity of Proposed Algorithm 3.2.2 Computing Time 3.3 Simulation and Experimental Results 3.3.1 Experimental Results 3.4 Reconstruction of Analogue Multi-harmonic Signals, from a Number of Integrated Values of Input Signals 3.4.1 Possible Hardware Realization of Proposed Method of Processing and Simulation Results 3.5 Estimation of Amplitude and Phase of Analog Multiharmonic Signal Based on the Differential Irregular Samples 3.6 New Estimation Procedure Based on Usage of Finite-Impulse-Response Comb Filters and Digital Differentiator References 4 New Procedure for Harmonics Estimation Based on Hilbert Transformation 4.1 Analytical Signals and Fourier Coefficients 4.1.1 Description of Algorithm 4.2 Proposed Estimation Algorithm 4.2.1 Numerical Complexity of Proposed Algorithm 4.2.2 Computing Time 4.3 Simulation Results References 5 Computational Effective Modified Newton–Raphson Algorithm for Power Harmonics Parameters Estimation 5.1 The Newton–Raphson Method 5.2 Frequency Estimation 5.3 Digital Filtering 5.4 Proposed Modification of Newton–Raphson Algorithm and Estimation of Harmonics Parameters 5.5 Performance Evaluation 5.6 Static Signal 5.7 Harmonic Tracking in Faulted Power Systems 5.8 Harmonic Estimation of a Dynamic Signal References 6 New CMOS Current-Mode Analogue to Digital Power Converter 6.1 Proposed Converter Circuits 6.1.1 Integrator and ZCD Circuits 6.1.2 Determining the Digital Equivalent of the Processed Power Signal 6.2 Non-ideal System Analysis 6.2.1 Measuring Uncertainty 6.3 Simulation Results 6.3.1 Comparison with Existing Circuits References 7 Dynamic Phasors Estimation Based on Taylor-Fourier Expansion and Gram Matrix Representation 7.1 Dynamic Signal Model and Algorithm Description 7.2 Gram’s Matrix of Dynamic Signal Model 7.3 Simulation Results 7.3.1 Amplitude Oscillation Case 7.3.2 Magnitude-Phase Step Test 7.3.3 Frequency Step Test 7.3.4 Harmonic Infiltration Test 7.3.5 Frequency Response 7.3.6 Error Bounds 7.3.7 Noise, Sub-harmonics and Inter-harmonics Infiltration 7.3.8 Computational Complexity and Simulation Time References