Load–frequency control in microgrids using target‐adjusted MPC

Model predictive control (MPC) has been applied in multiple ways to the load–frequency control problem. In this study, the authors illustrate and compare a target-adjusted MPC to a classical MPC formulation. The target-adjusted approach is also posed as optimal control law. The target-adjusted MPC is an alternative formulation that incorporates the system equilibrium into the control objective. The alternative derived controller can be used as substitute for classical MPCs.

[1]  D. Muñoz de la Peña,et al.  Robust economic model predictive control of a community micro-grid ☆ , 2017 .

[2]  Sten Bay Jørgensen,et al.  Parameter estimation in stochastic grey-box models , 2004, Autom..

[3]  Ali Mohammad Ranjbar,et al.  A functional model predictive control approach for power system load frequency control considering generation rate constraint , 2013 .

[4]  H. Shayeghi,et al.  Load frequency control strategies: A state-of-the-art survey for the researcher , 2009 .

[5]  Alejandro H. González,et al.  Conditions for offset elimination in state space receding horizon controllers: A tutorial analysis , 2008 .

[6]  Kjetil Uhlen,et al.  Model Predictive Load-Frequency Control , 2016, IEEE Transactions on Power Systems.

[7]  Ufuk Topcu,et al.  Optimal Load Control via Frequency Measurement and Neighborhood Area Communication , 2013, IEEE Transactions on Power Systems.

[8]  Gabriele Pannocchia,et al.  Disturbance models for offset‐free model‐predictive control , 2003 .

[9]  Stephen J. Wright,et al.  Distributed MPC Strategies With Application to Power System Automatic Generation Control , 2008, IEEE Transactions on Control Systems Technology.

[10]  MadsenHenrik,et al.  Parameter estimation in stochastic grey-box models , 2004 .

[11]  P. Dooren.  A Generalized Eigenvalue Approach for Solving Riccati Equations , 1980 .

[12]  Milan Calovic,et al.  Linear Regulator Design for a Load and Frequency Control , 1972 .

[13]  Joerg Raisch,et al.  Minimax Model Predictive Operation Control of Microgrids , 2014 .

[14]  R. Kulessky,et al.  Identification-based power unit model for load frequency control purposes , 2000, 2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134).

[15]  James B. Rawlings,et al.  Model predictive control with linear models , 1993 .

[16]  Niels Kjolstad Poulsen,et al.  Adaptive disturbance estimation for offset-free SISO Model Predictive Control , 2011, Proceedings of the 2011 American Control Conference.

[17]  Henrik Madsen,et al.  Control of Electricity Loads in Future Electric Energy Systems , 2015 .

[18]  Sidhartha Panda,et al.  Automatic generation control of multi-area power system using multi-objective non-dominated sorting genetic algorithm-II , 2013 .

[19]  John Bagterp Jørgensen,et al.  Soft Constraints for Robust MPC of Uncertain Systems , 2009 .

[20]  Nand Kishor,et al.  A literature survey on load–frequency control for conventional and distribution generation power systems , 2013 .

[21]  K. M. Nor,et al.  A robust adaptive predictive load frequency controller to compensate for model mismatch , 2010, 2010 4th International Power Engineering and Optimization Conference (PEOCO).

[22]  Niels Kjolstad Poulsen,et al.  Tuning of methods for offset free MPC based on ARX model representations , 2010, Proceedings of the 2010 American Control Conference.

[23]  Sahaj Saxena,et al.  Load frequency control strategy via fractional-order controller and reduced-order modeling , 2019, International Journal of Electrical Power & Energy Systems.

[24]  Marc Timme,et al.  Decentral Smart Grid Control , 2015 .

[25]  James B. Rawlings,et al.  Finite horizon MPC for systems in innovation form , 2011, IEEE Conference on Decision and Control and European Control Conference.

[26]  A. Laub.  A schur method for solving algebraic Riccati equations , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[27]  Charles E. Fosha,et al.  The Megawatt-Frequency Control Problem: A New Approach Via Optimal Control Theory , 1970 .

[28]  Evangelos Rikos,et al.  Stochastic model predictive control for economic/environmental operation management of microgrids: An experimental case study , 2016 .

[29]  Niels Kjølstad Poulsen,et al.  Utilizing flexibility in Microgrids using Model Predictive Control , 2018 .

[30]  T. Taniguchi,et al.  Optimal observer design for load-frequency control , 1986 .

[31]  Gabriele Pannocchia,et al.  Robustness of MPC and Disturbance Models for Multivariable Ill-conditioned Processes , 2001 .

[32]  Wayne R. Barcelo.  Effect of Power Plant Response on Optimum Load Frequency Control System Design , 1973 .

[33]  S. Thurber.  English , 1894 .

[34]  James Demmel,et al.  LAPACK Users' Guide, Third Edition , 1999, Software, Environments and Tools.

[35]  F. C. Schweppe,et al.  Power systems `2000': hierarchical control strategies , 1978, IEEE Spectrum.

[36]  Kalyan Chatterjee,et al.  A comprehensive state of the art literature survey on LFC mechanism for power system , 2017 .

[37]  Daniel Limón,et al.  Robust economic model predictive control of a community micro-grid , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[38]  Goran Andersson,et al.  Impact of Low Rotational Inertia on Power System Stability and Operation , 2013, 1312.6435.

[39]  Henrik Madsen,et al.  Ancillary Services 4.0: A Top-to-Bottom Control-Based Approach for Solving Ancillary Services Problems in Smart Grids , 2018, IEEE Access.

[40]  Youyi Wang,et al.  New robust adaptive load-frequency control with system parametric uncertainties , 1994 .