Three-Phase PLLs With Fast Postfault Retracking and Steady-State Rejection of Voltage Unbalance and Harmonics by Means of Lead Compensation

This paper proposes an advanced controller suitable for three-phase phase-locked loops (PLLs), which are employed in grid-connected power converters. This controller is formed of one or more lead compensators cascaded to the main proportional integral regulator. The proposed lead compensators are second order with pure imaginary roots: they have both a notch peak and a resonant peak (the notch frequency is lower than the resonant frequency). Hence, their phase versus frequency response exhibits phase wraps of ± 180°. Consequently, the parameters of each lead compensator are tuned with two objectives: to eliminate a specific frequency in the synchronous reference frame (SRF) and to enhance stability by a phase lead (phase boost). Through this technique, three-phase PLLs achieve both high bandwidth (fast transient response) and selective cancellation (filtering of unbalance and harmonics ripple in the SRF). The proposed controllers are suitable for simpler three-phase PLL schemes, such as the SRF-PLL. Therefore, big improvement is achieved without adding extra blocks and signals to basic PLL structures. Simulation and real-time implementation (dSpace DS1103) tests, emulating very demanding realistic conditions, have been performed. Key figures from these tests are shown, which prove the high performance and robustness of the proposal.

[1]  Y. Sozer,et al.  Modeling and Control of Utility Interactive Inverters , 2009, IEEE Transactions on Power Electronics.

[2]  V. Blasko,et al.  Operation of a phase locked loop system under distorted utility conditions , 1997 .

[3]  J. Doval-Gandoy,et al.  A Generic Open-Loop Algorithm for Three-Phase Grid Voltage/Current Synchronization With Particular Reference to Phase, Frequency, and Amplitude Estimation , 2009, IEEE Transactions on Power Electronics.

[4]  G. Joos,et al.  A Fast and Accurate Synchronization Technique for Extraction of Symmetrical Components , 2009, IEEE Transactions on Power Electronics.

[5]  M. Liserre,et al.  Reactive Power Control for Improving Wind Turbine System Behavior Under Grid Faults , 2009, IEEE Transactions on Power Electronics.

[6]  Antti J. Koivo,et al.  Nonlinear predictive control with application to manipulator with flexible forearm , 1999, IEEE Trans. Ind. Electron..

[7]  Hong-Seok Song,et al.  Dual current control scheme for PWM converter under unbalanced input voltage conditions , 1999, IEEE Trans. Ind. Electron..

[8]  Jano Malvar,et al.  Effects of Discretization Methods on the Performance of Resonant Controllers , 2010, IEEE Transactions on Power Electronics.

[9]  Aniruddha M. Gole,et al.  A static compensator model for use with electromagnetic transients simulation programs , 1990 .

[10]  Se-Kyo Chung,et al.  A phase tracking system for three phase utility interface inverters , 2000 .

[11]  Roland E. Best Phase-Locked Loops , 1984 .

[12]  Gene F. Franklin,et al.  Feedback Control of Dynamic Systems , 1986 .

[13]  Masoud Karimi-Ghartemani,et al.  Online estimation of steady state and instantaneous symmetrical components , 2003 .

[14]  A. V. Timbus Grid Monitoring and Advanced Control of Distributed Power Generation Systems , 2007 .

[15]  J. Doval-Gandoy,et al.  On the discrete-time implementation of resonant controllers for active power filters , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[16]  Sergio Busquets-Monge,et al.  Control Strategies Based on Symmetrical Components for Grid-Connected Converters Under Voltage Dips , 2009, IEEE Transactions on Industrial Electronics.

[17]  Wenhua Liu,et al.  Control of a Cascade STATCOM With Star Configuration Under Unbalanced Conditions , 2009 .

[18]  Marcelo A. Pérez,et al.  A Robust Phase-Locked Loop Algorithm to Synchronize Static-Power Converters With Polluted AC Systems , 2008, IEEE Transactions on Industrial Electronics.

[19]  Donald Grahame Holmes,et al.  Stationary frame current regulation of PWM inverters with zero steady-state error , 2003 .

[20]  Frede Blaabjerg,et al.  Optimized Control Strategy for a Medium-Voltage DVR—Theoretical Investigations and Experimental Results , 2008 .

[21]  Po-Tai Cheng,et al.  Design of an Auxiliary Converter for the Diode Rectifier and the Analysis of the Circulating Current , 2008 .

[22]  J. Doval-Gandoy,et al.  Tuning of Phase-Locked Loops for Power Converters Under Distorted Utility Conditions , 2009, IEEE Transactions on Industry Applications.

[23]  Hirofumi Akagi,et al.  Instantaneous Reactive Power Compensators Comprising Switching Devices without Energy Storage Components , 1984, IEEE Transactions on Industry Applications.

[24]  Pablo Fernandez-Comesana,et al.  A Signal-Processing Adaptive Algorithm for Selective Current Harmonic Cancellation in Active Power Filters , 2009, IEEE Transactions on Industrial Electronics.

[25]  Giuseppe Fedele,et al.  A Power Electrical Signal Tracking Strategy Based on the Modulating Functions Method , 2009, IEEE Transactions on Industrial Electronics.

[26]  J. Doval-Gandoy,et al.  Real-Time implementation of a SPLL for FACTS , 2006, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics.

[27]  Li Ran,et al.  Unbalanced Grid Fault Ride-Through Control for a Wind Turbine Inverter , 2007, 2007 IEEE Industry Applications Annual Meeting.

[28]  Leonardo A. B. Tôrres,et al.  Comparison of Three Single-Phase PLL Algorithms for UPS Applications , 2008, IEEE Transactions on Industrial Electronics.

[29]  Houshang Karimi,et al.  A magnitude/phase-locked loop system based on estimation of frequency and in-phase/quadrature-phase amplitudes , 2004, IEEE Transactions on Industrial Electronics.

[30]  Math Bollen,et al.  Understanding Power Quality Problems , 1999 .

[31]  Mauricio Aredes,et al.  Analysis and Software Implementation of a Robust Synchronizing PLL Circuit Based on the pq Theory , 2006, IEEE Transactions on Industrial Electronics.

[32]  Francisco A. S. Neves,et al.  A Method for Extracting the Fundamental-Frequency Positive-Sequence Voltage Vector Based on Simple Mathematical Transformations , 2008, IEEE Transactions on Industrial Electronics.

[33]  Massimo Bongiorno,et al.  On Control of Static Synchronous Series Compensator for SSR Mitigation , 2008 .

[34]  Seddik Bacha,et al.  A Single Synchronous Frame Hybrid (SSFH) Multifrequency Controller for Power Active Filters , 2006, IEEE Transactions on Industrial Electronics.

[35]  J. Svensson,et al.  Tuning software phase-locked loop for series-connected converters , 2005, IEEE Transactions on Power Delivery.

[36]  Qiang Song,et al.  Control of a Cascade STATCOM With Star Configuration Under Unbalanced Conditions , 2009, IEEE Transactions on Power Electronics.

[37]  G. Griva,et al.  Improved current control strategy for power conditioners using sinusoidal signal integrators in synchronous reference frame , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[38]  F. Profumo,et al.  Current control strategy for power conditioners using sinusoidal signal integrators in synchronous reference frame , 2005, IEEE Transactions on Power Electronics.

[39]  B. Singh,et al.  A T-Connected Transformer and Three-leg VSC Based DSTATCOM for Power Quality Improvement , 2008, IEEE Transactions on Power Electronics.

[40]  Yi Zhao,et al.  Design and Analysis of a Grid-Connected Photovoltaic Power System , 2010, IEEE Transactions on Power Electronics.

[41]  Roland E. Best Phase-locked loops : design, simulation, and applications , 2003 .

[42]  Donald Grahame Holmes,et al.  Stationary frame current regulation of PWM inverters with zero steady state error , 1999, 30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321).

[43]  Seddik Bacha,et al.  New Optimized PWM VSC Control Structures and Strategies Under Unbalanced Voltage Transients , 2007, IEEE Transactions on Industrial Electronics.

[44]  G. Asher,et al.  Frequency Control Design for Offshore Wind Farm Grid With LCC-HVDC Link Connection , 2008, IEEE Transactions on Power Electronics.

[45]  J. Doval-Gandoy,et al.  Robust phase locked loops optimized for DSP implementation in power quality applications , 2008, 2008 34th Annual Conference of IEEE Industrial Electronics.

[46]  J. Doval-Gandoy,et al.  Grid-synchronization methods for power converters , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[47]  Peng Zhou,et al.  Improved Direct Power Control of a DFIG-Based Wind Turbine During Network Unbalance , 2009, IEEE Transactions on Power Electronics.

[48]  G. Saccomando,et al.  Transient operation of grid-connected voltage source converter under unbalanced voltage conditions , 2001, Conference Record of the 2001 IEEE Industry Applications Conference. 36th IAS Annual Meeting (Cat. No.01CH37248).

[49]  Reza Iravani,et al.  A unified dynamic model and control for the voltage-sourced converter under unbalanced grid conditions , 2006 .

[50]  M. Liserre,et al.  Evaluation of Current Controllers for Distributed Power Generation Systems , 2009, IEEE Transactions on Power Electronics.

[51]  Marco Liserre,et al.  PLL Algorithm for Power Generation Systems Robust to Grid Voltage Faults , 2006 .

[52]  E.F. El-Saadany,et al.  Adaptive Discrete-Time Grid-Voltage Sensorless Interfacing Scheme for Grid-Connected DG-Inverters Based on Neural-Network Identification and Deadbeat Current Regulation , 2008, IEEE Transactions on Power Electronics.

[53]  F. Blaabjerg,et al.  Application of Discontinuous PWMModulation in Active Power Filters , 2008, IEEE Transactions on Power Electronics.

[54]  Lie Xu,et al.  Improved Direct Power Control of Grid-Connected DC/AC Converters , 2009, IEEE Transactions on Power Electronics.

[55]  D. Boroyevich,et al.  Decoupled Double Synchronous Reference Frame PLL for Power Converters Control , 2007, IEEE Transactions on Power Electronics.

[56]  J. Svensson,et al.  On Control of Static Synchronous Series Compensator for SSR Mitigation , 2007, IEEE Transactions on Power Electronics.