Robust decentralized PI controllers design for voltage regulation in distribution networks with DG

Abstract The presence of Distributed Generators (DGs) in distribution networks may cause voltage fluctuations due to the reverse power flow. To solve this problem the present paper proposes a decentralized approach to regulate the voltage amplitude of the nodes to which the DGs are connected. Each DG is equipped with a PI decentralized controller whose parameters are tuned using a MIMO design. Zero voltage regulation error, robust stability and tolerance to the disconnection of DGs are guaranteed. A IEEE test distribution system with 123 nodes and 15 PVs is simulated to assess the obtained performance. The numerical results demonstrate that the application of the proposed design can help to guarantee robust voltage regulation.

[1]  R. Iravani,et al.  A Decentralized Robust Control Strategy for Multi-DER Microgrids—Part I: Fundamental Concepts , 2012, IEEE Transactions on Power Delivery.

[2]  Nibedita Swain,et al.  Closed loop control of solar powered boost converter with PID controller , 2014, 2014 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES).

[3]  Shankar P. Bhattacharyya,et al.  On the stability of multivariable feedback systems , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[4]  Petr Husek,et al.  Decentralized PI Controller Design Based on Phase Margin Specifications , 2014, IEEE Transactions on Control Systems Technology.

[5]  G. Ledwich,et al.  Multiple distributed Generators for Distribution feeder Voltage support , 2005, IEEE Transactions on Energy Conversion.

[6]  Iqbal Husain,et al.  Passivity-based and standard PI controls application to wind energy conversion system , 2016, 2016 IEEE Energy Conversion Congress and Exposition (ECCE).

[7]  Alexandre S. Bazanella,et al.  Tuning of Multivariable Decentralized Controllers Through the Ultimate-Point Method , 2009, IEEE Transactions on Control Systems Technology.

[8]  Dale E. Seborg,et al.  Design of decentralized PI control systems based on Nyquist stability analysis , 2001, Proceedings of the 2001 IEEE International Conference on Control Applications (CCA'01) (Cat. No.01CH37204).

[9]  Antonio Piccolo,et al.  Reactive power control for improving voltage profiles: A comparison between two decentralized approaches , 2012 .

[10]  Alireza R. Bakhshai,et al.  Critic-Based Self-Tuning PI Structure for Active and Reactive Power Control of VSCs in Microgrid Systems , 2015, IEEE Transactions on Smart Grid.

[11]  Giuseppe Fusco,et al.  Smart DER control for minimizing power losses in distribution feeders , 2014 .

[12]  Moonyong Lee,et al.  Independent design of multi-loop PI/PID controllers for interacting multivariable processes , 2010 .

[13]  Marija D. Ilic,et al.  Small-signal stability and decentralized control design for electric energy systems with a large penetration of distributed generators , 2012 .

[14]  W. Luyben,et al.  Design for multiloop SISO controllers in multivariable processes , 1986 .

[15]  Nikos D. Hatziargyriou,et al.  Distributed and Decentralized Voltage Control of Smart Distribution Networks: Models, Methods, and Future Research , 2017, IEEE Transactions on Smart Grid.

[16]  Moonyong Lee,et al.  Design of Multi-loop PID Controllers Based on the Generalized IMC-PID Method with Mp Criterion , 2007 .

[17]  Giuseppe Fusco,et al.  Robust MIMO Design of Decentralized Voltage Controllers of PV Systems in Distribution Networks , 2017, IEEE Transactions on Industrial Electronics.

[18]  A. Nazli Gündes,et al.  Reliable decentralized integral-action controller design , 2001, IEEE Trans. Autom. Control..

[19]  Filip Andren,et al.  On the Stability of Local Voltage Control in Distribution Networks With a High Penetration of Inverter-Based Generation , 2015, IEEE Transactions on Industrial Electronics.

[20]  Djalel Dib,et al.  MPPT control in wind energy conversion systems and the application of fractional control (PIα) in pitch wind turbine , 2016, Int. J. Model. Identif. Control..

[21]  Zhong-Ping Jiang,et al.  Analysis of Voltage Profile Problems Due to the Penetration of Distributed Generation in Low-Voltage Secondary Distribution Networks , 2012, IEEE Transactions on Power Delivery.

[22]  Abdelkader Chaari,et al.  Tuning optimal PID controller , 2015, Int. J. Model. Identif. Control..

[23]  M. Morari.  Robust stability of systems with integral control , 1983, The 22nd IEEE Conference on Decision and Control.

[24]  J. Cruz,et al.  RELATIONSHIP BETWEEN SENSITIVITY AND STABILITY OF MULTIVARIABLE FEEDBACK SYSTEMS. , 1981 .

[25]  Giuseppe Fusco,et al.  Decentralized Control of Distributed Generation for Voltage Profile Optimization in Smart Feeders , 2013, IEEE Transactions on Smart Grid.

[26]  Chih-Hung Chiang,et al.  A direct method for multi-loop PI/PID controller design , 2003 .

[27]  M. Sedighizadeh,et al.  A self-tuning PID control for a wind energy conversion system based on the Lyapunov approach , 2008, 2008 43rd International Universities Power Engineering Conference.

[28]  Frank L. Lewis,et al.  Distributed Control Systems for Small-Scale Power Networks: Using Multiagent Cooperative Control Theory , 2014, IEEE Control Systems.

[29]  Chi-Tsong Chen,et al.  Stability of linear multivariable feedback systems , 1968 .

[30]  Brian K. Perera,et al.  Point of common coupling (PCC) voltage control of a grid-connected solar photovoltaic (PV) system , 2013, IECON 2013 - 39th Annual Conference of the IEEE Industrial Electronics Society.

[31]  Ali Mehrizi-Sani,et al.  Distributed Control Techniques in Microgrids , 2014, IEEE Transactions on Smart Grid.

[32]  K. M. Muttaqi,et al.  Online Voltage Control in Distribution Systems With Multiple Voltage Regulating Devices , 2014, IEEE Transactions on Sustainable Energy.

[33]  Harpreet Singh,et al.  Robust optimization-based multi-loop PID controller tuning: A new tool and its industrial application , 2012 .

[34]  Tomonobu Senjyu,et al.  Decentralised control of voltage in distribution systems by distributed generators , 2010 .

[35]  Arindam Ghosh,et al.  Decentralized voltage support in a Low Voltage feeder by droop based voltage controlled PVs , 2013, 2013 Australasian Universities Power Engineering Conference (AUPEC).

[36]  Aaron M. Cramer,et al.  Reactive power control methods for photovoltaic inverters to mitigate short-term voltage magnitude fluctuations , 2015 .

[37]  Michele De Santis,et al.  Linear method for steady-state analysis of radial distribution systems , 2018, International Journal of Electrical Power & Energy Systems.

[38]  Thomas J. Overbye,et al.  A Control Framework for the Smart Grid for Voltage Support Using Agent-Based Technologies , 2011, IEEE Transactions on Smart Grid.