Non-linear least squares methodology for suppressing the fundamental frequency in the analysis of electric signals

Abstract Energy from the fundamental frequency component (FFC) in electrical signals is usually much higher than the energy from the rest of spectral components. This situation makes it difficult to obtain a proper analysis of the whole frequencies involved in a particular signal. To improve the spectral analysis of electrical signals, some works have proposed the use of filters and digital signal processing techniques for suppressing the influence of the FFC. However, these methodologies suppress a frequency band, introducing undesired effects in the frequencies close to the FFC. Thus, this paper proposes the use of non-linear least squares to identify the amplitude, frequency and phase that describe the FFC to suppress only one frequency component instead of a frequency band. The methodology is tested using synthetic signals and experimentation is performed with real electric signals from three different scenarios: current signals from two induction motors operating at two different frequencies (60 Hz and 31 Hz), and a voltage signal from a photovoltaic generation plant. Results show that the methodology can adequately recognize and subtract the FFC. This methodology aims to be a tool to enhance the results delivered by methodologies for condition monitoring of induction motors and power quality assessment.

[1]  José Antonio de la O. Serna,et al.  Synchrophasor Measurement With Polynomial Phase-Locked-Loop Taylor-Fourier Filters , 2015, IEEE Trans. Instrum. Meas..

[2]  Girish Kumar Singh,et al.  Power system harmonics research: a survey , 2009 .

[3]  Habib Hajimolahoseini,et al.  Instantaneous fundamental frequency estimation of non-stationary periodic signals using non-linear recursive filters , 2015, IET Signal Process..

[4]  Michal Lewandowski,et al.  Optimal base frequency estimation of an electrical signal based on Prony's estimator and a FIR filter , 2018, Appl. Math. Comput..

[5]  Trapti Jain,et al.  Fast Amplitude Estimation of Harmonics Using Undecimated Wavelet Packet Transform and Its Hardware Implementation , 2018, IEEE Transactions on Instrumentation and Measurement.

[6]  Hareesh Myneni,et al.  Dynamic dc voltage regulation of split-capacitor DSTATCOM for power quality improvement , 2017 .

[7]  Md. Shamim Reza,et al.  A Demodulation-Based Technique for Robust Estimation of Single-Phase Grid Voltage Fundamental Parameters , 2017, IEEE Transactions on Industrial Informatics.

[8]  Carl Tim Kelley,et al.  Iterative methods for optimization , 1999, Frontiers in applied mathematics.

[9]  Arezki Menacer,et al.  Experimental diagnosis of broken rotor bars fault in induction machine based on Hilbert and discrete wavelet transforms , 2018 .

[10]  Nouredine Hadjsaid,et al.  Phasors Estimation at Offnominal Frequencies Through an Enhanced-SVA Method With a Fixed Sampling Clock , 2017, IEEE Transactions on Power Delivery.

[11]  Søren Holdt Jensen,et al.  Fast fundamental frequency estimation: Making a statistically efficient estimator computationally efficient , 2017, Signal Process..

[12]  Zhaosheng Teng,et al.  Dielectric Loss Factor Measurement in Power Systems Based on Sampling Sequence Reconstruction Approach , 2017, IEEE Transactions on Power Electronics.

[13]  Abdul R. Beig,et al.  Adaptive Notch Filter-Based Multipurpose Control Scheme for Grid-Interfaced Three-Phase Four-Wire DG Inverter , 2017, IEEE Transactions on Industry Applications.

[14]  R. Coelho,et al.  On the Estimation of Fundamental Frequency From Nonstationary Noisy Speech Signals Based on the Hilbert–Huang Transform , 2018, IEEE Signal Processing Letters.

[15]  Martin Valtierra-Rodriguez,et al.  Experimental data-based transient-stationary current model for inter-turn fault diagnostics in a transformer , 2017 .

[16]  Aslam P. Memon,et al.  A new optimal feature selection algorithm for classification of power quality disturbances using discrete wavelet transform and probabilistic neural network , 2017 .

[17]  Miguel Ochoa-Gimenez,et al.  Harmonics and Interharmonics Compensation With Active Front-End Converters Based Only on Local Voltage Measurements , 2017, IEEE Transactions on Industrial Electronics.

[18]  Tilo Strutz,et al.  Data Fitting and Uncertainty: A practical introduction to weighted least squares and beyond , 2010 .

[19]  Mark Sumner,et al.  Real-Time Estimation of Fundamental Frequency and Harmonics for Active Shunt Power Filters in Aircraft Electrical Systems , 2009, IEEE Transactions on Industrial Electronics.

[20]  Yu Wang,et al.  Multipoint interpolated DFT for sine waves in short records with DC components , 2017, Signal Process..

[21]  Mads Græsbøll Christensen,et al.  Accurate Estimation of Low Fundamental Frequencies From Real-Valued Measurements , 2013, IEEE Transactions on Audio, Speech, and Language Processing.

[22]  B Bessam,et al.  Detection of broken rotor bar faults in induction motor at low load using neural network. , 2016, ISA transactions.

[23]  Barış Asikgil Robust Nonlinear Least Squares Approaches for Evaluating OVA-Mediated Bleaching Reactions: An Experimental Comparative Study , 2017 .

[24]  Ram Bilas Pachori,et al.  Determination of instantaneous fundamental frequency of speech signals using variational mode decomposition , 2017, Comput. Electr. Eng..

[25]  Xiangyang Zhu,et al.  Extraction of Periodic Signal Without External Reference by Time-Domain Average Scanning , 2008, IEEE Transactions on Industrial Electronics.

[26]  Jose A. Antonino-Daviu,et al.  Application of the Teager–Kaiser Energy Operator to the Fault Diagnosis of Induction Motors , 2013, IEEE Transactions on Energy Conversion.

[27]  Lei Guo,et al.  An Amplitude Adaptive Notch Filter for Grid Signal Processing , 2013, IEEE Transactions on Power Electronics.

[28]  Rene de Jesus Romero-Troncoso,et al.  Novel Downsampling Empirical Mode Decomposition Approach for Power Quality Analysis , 2016, IEEE Transactions on Industrial Electronics.

[29]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[30]  Aurobinda Routray,et al.  Fast and accurate spectral estimation for online detection of partial broken bar in induction motors , 2018 .

[31]  Daniel Morinigo-Sotelo,et al.  Rotor unbalance and broken rotor bar detection in inverter-fed induction motors at start-up and steady-state regimes by high-resolution spectral analysis , 2016 .

[32]  Jin Kwon Hwang,et al.  Power System Frequency Estimation by Reduction of Noise Using Three Digital Filters , 2014, IEEE Transactions on Instrumentation and Measurement.

[33]  Claus Leth Bak,et al.  Analysis and design of notch filter-based PLLs for grid-connected applications , 2017 .

[34]  Boying Wen,et al.  An improved phasor based algorithm for accurate frequency measurement , 2011, Math. Comput. Model..