Primary Frequency Regulation With Load-Side Participation—Part I: Stability and Optimality

We present a method to design distributed generation and demand control schemes for primary frequency regulation in power networks that guarantee asymptotic stability and ensure fairness of allocation. We impose a passivity condition on net power supply variables and provide explicit steady-state conditions on a general class of generation and demand control dynamics that ensure convergence of solutions to equilibria that solve an appropriately constructed network optimization problem. We also show that the inclusion of controllable demand results in a drop in steady-state frequency deviations. We discuss how various classes of dynamics used in recent studies fit within our framework and show that this allows for less conservative stability and optimality conditions. We illustrate our results with simulations on the IEEE 68-bus transmission system and the IEEE 37-bus distribution system with static and dynamic demand response schemes.

[1]  Hadi Saadat,et al.  Power Systems Analysis , 2002 .

[2]  Bruce A. Francis,et al.  Feedback Control Theory , 1992 .

[3]  Ioannis Lestas,et al.  On the stability and optimality of primary frequency regulation with load-side participation , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[4]  Enrique Mallada,et al.  Optimal Load-Side Control for Frequency Regulation in Smart Grids , 2014, IEEE Transactions on Automatic Control.

[5]  Steven H. Low,et al.  Optimal decentralized primary frequency control in power networks , 2014, 53rd IEEE Conference on Decision and Control.

[6]  Fred Schweppe,et al.  Homeostatic Utility Control , 1980, IEEE Transactions on Power Apparatus and Systems.

[7]  Claudio De Persis,et al.  Optimal frequency regulation in nonlinear structure preserving power networks including turbine dynamics: An incremental passivity approach , 2016, 2016 American Control Conference (ACC).

[8]  D. J. H. Garling,et al.  The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities by J. Michael Steele , 2005, Am. Math. Mon..

[9]  Donald J. Hammerstrom,et al.  Pacific Northwest GridWise™ Testbed Demonstration Projects; Part II. Grid Friendly™ Appliance Project , 2007 .

[10]  P. Olver.  Nonlinear Systems , 2013 .

[11]  Farrokh Albuyeh,et al.  Grid of the future , 2009, IEEE Power and Energy Magazine.

[12]  S. Sastry.  Nonlinear Systems: Analysis, Stability, and Control , 1999 .

[13]  H. Miyagi,et al.  Stability studies of multimachine power systems with the effects of automatic voltage regulators , 1986 .

[14]  Babu Narayanan,et al.  POWER SYSTEM STABILITY AND CONTROL , 2015 .

[15]  Michael Chertkov,et al.  Synchronization in complex oscillator networks and smart grids , 2012, Proceedings of the National Academy of Sciences.

[16]  Graham Rogers,et al.  Power System Oscillations , 1999 .

[17]  Karl Henrik Johansson,et al.  Distributed integral action: Stability analysis and frequency control of power systems , 2012, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[18]  Ioannis Lestas,et al.  Primary frequency regulation with load-side participation: stability and optimality , 2016 .

[19]  B. J. Kirby,et al.  Spinning Reserve From Responsive Loads , 2003 .

[20]  丸山 徹.  Convex Analysisの二,三の進展について , 1977 .

[21]  D.G. Infield,et al.  Stabilization of Grid Frequency Through Dynamic Demand Control , 2007, IEEE Transactions on Power Systems.

[22]  Marina Antoniou,et al.  Primary Frequency Regulation With Load-Side Participation—Part II: Beyond Passivity Approaches , 2017, IEEE Transactions on Power Systems.

[23]  D. Trudnowski,et al.  Power-System Frequency and Stability Control using Decentralized Intelligent Loads , 2006, 2005/2006 IEEE/PES Transmission and Distribution Conference and Exhibition.

[24]  Enrique Mallada Steven H. Low.  Distributed Frequency-Preserving Optimal Load Control , 2014 .

[25]  Francesco Bullo,et al.  Synchronization and power sharing for droop-controlled inverters in islanded microgrids , 2012, Autom..

[26]  Xuan Zhang,et al.  A real-time control framework for smart power networks with star topology , 2013, 2013 American Control Conference.

[27]  Juan C. Vasquez,et al.  Distributed Secondary Control for Islanded Microgrids—A Novel Approach , 2014, IEEE Transactions on Power Electronics.

[28]  Joe H. Chow,et al.  Power System Toolbox , 2017 .

[29]  François Bouffard,et al.  Decentralized Demand-Side Contribution to Primary Frequency Control , 2011, IEEE Transactions on Power Systems.

[30]  P. Moylan,et al.  Stability criteria for large-scale systems , 1978 .

[31]  Ufuk Topcu,et al.  Design and Stability of Load-Side Primary Frequency Control in Power Systems , 2013, IEEE Transactions on Automatic Control.

[32]  Henrik Lund,et al.  Large-scale integration of optimal combinations of PV, wind and wave power into the electricity supply , 2006 .

[33]  Claudio De Persis,et al.  An internal model approach to frequency regulation in inverter-based microgrids with time-varying voltages , 2014, 53rd IEEE Conference on Decision and Control.

[34]  C. A. Desoer,et al.  Nonlinear Systems Analysis , 1978 .

[35]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.