Fast and Reliable Primary Frequency Reserves From Refrigerators With Decentralized Stochastic Control

Due to increasing shares of renewable energy sources, more frequency reserves are required to maintain power system stability. In this paper, we present a decentralized control scheme that allows a large aggregation of refrigerators to provide Primary Frequency Control (PFC) reserves to the grid based on local frequency measurements and without communication. The control is based on stochastic switching of refrigerators depending on the frequency deviation. We develop methods to account for typical lockout constraints of compressors and increased power consumption during the startup phase. In addition, we propose a procedure to dynamically reset the thermostat temperature limits in order to provide reliable PFC reserves, as well as a corrective temperature feedback loop to build robustness to biased frequency deviations. Furthermore, we introduce an additional randomization layer in the controller to account for thermostat resolution limitations, and finally, we modify the control design to account for refrigerator door openings. Extensive simulations with actual frequency signal data and with different aggregation sizes, load characteristics, and control parameters, demonstrate that the proposed controller outperforms a relevant state-of-the-art controller.

[1]  David Angeli,et al.  A Stochastic Approach to “Dynamic-Demand” Refrigerator Control , 2012, IEEE Transactions on Control Systems Technology.

[2]  Luminita Cristiana Totu,et al.  Demand Response of Thermostatic Loads by Optimized Switching-Fraction Broadcast , 2014 .

[3]  Jianming Lian,et al.  A hierarchical framework for demand-side frequency control , 2014, 2014 American Control Conference.

[4]  Jan Dimon Bendtsen,et al.  Observer design for boundary coupled PDEs: Application to thermostatically controlled loads in smart grids , 2013, 52nd IEEE Conference on Decision and Control.

[5]  Gabriela Hug,et al.  A moving horizon state estimator in the control of thermostatically controlled loads for demand response , 2013, 2013 IEEE International Conference on Smart Grid Communications (SmartGridComm).

[6]  Zhao Xu,et al.  Demand as Frequency Controlled Reserve , 2011, IEEE Transactions on Power Systems.

[7]  A. Debs,et al.  Statistical synthesis of power system functional load models , 1979, 1979 18th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[8]  Panos Constantopoulos,et al.  Estia: A real-time consumer control scheme for space conditioning usage under spot electricity pricing , 1991, Comput. Oper. Res..

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

[10]  Palle Andersen,et al.  Primary Control by ON/OFF Demand-Side Devices , 2013, IEEE Transactions on Smart Grid.

[11]  P. Olver Nonlinear Systems , 2013 .

[12]  J. Driesen,et al.  Optimal frequency support by dynamic demand , 2013, 2013 IEEE Grenoble Conference.

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

[14]  Ernesto Kofman,et al.  Load management: Model-based control of aggregate power for populations of thermostatically controlled loads , 2012 .

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

[16]  Goran Andersson,et al.  Minimizing communication cost for demand response using state estimation , 2013, 2013 IEEE Grenoble Conference.

[17]  Enrique Kremers,et al.  Emergent synchronisation properties of a refrigerator demand side management system , 2013 .

[18]  David M. Auslander,et al.  Using load switches to control aggregated electricity demand for load following and regulation , 2011, 2011 IEEE Power and Energy Society General Meeting.

[19]  Nick Jenkins,et al.  Investigation of Domestic Load Control to Provide Primary Frequency Response Using Smart Meters , 2012, IEEE Transactions on Smart Grid.

[20]  Wei Zhang,et al.  Aggregated Modeling and Control of Air Conditioning Loads for Demand Response , 2013, IEEE Transactions on Power Systems.

[21]  Ufuk Topcu,et al.  Frequency-based load control in power systems , 2012, 2012 American Control Conference (ACC).

[22]  Scott Backhaus,et al.  Modeling and control of thermostatically controlled loads , 2011 .

[23]  Göran Andersson,et al.  A new algorithm for primary frequency control with cooling appliances , 2014, Computer Science - Research and Development.

[24]  Johanna L. Mathieu,et al.  Modeling and Control of Aggregated Heterogeneous Thermostatically Controlled Loads for Ancillary Services , 2011 .

[25]  Christian J.L. Hermes,et al.  Experimental mapping of the thermodynamic losses in vapor compression refrigeration systems , 2011 .

[26]  Duncan S. Callaway Tapping the energy storage potential in electric loads to deliver load following and regulation, with application to wind energy , 2009 .

[27]  Duncan S. Callaway,et al.  State Estimation and Control of Electric Loads to Manage Real-Time Energy Imbalance , 2013, IEEE Transactions on Power Systems.

[28]  R. Malhamé,et al.  Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system , 1985 .

[29]  R. N. Elliott,et al.  American Council for an Energy-Efficient Economy , 2002 .

[30]  Jian Ma,et al.  Operational Impacts of Wind Generation on California Power Systems , 2009, IEEE Transactions on Power Systems.

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

[32]  Goran Andersson,et al.  Integrating large shares of heterogeneous thermal loads in power system frequency control , 2015, 2015 IEEE Eindhoven PowerTech.

[33]  Richard T. B. Ma,et al.  Distributed Frequency Control in Smart Grids via Randomized Demand Response , 2014, IEEE Transactions on Smart Grid.

[34]  Goran Strbac,et al.  Decentralized Control of Thermostatic Loads for Flexible Demand Response , 2015, IEEE Transactions on Control Systems Technology.

[35]  Evangelos Vrettos,et al.  Load frequency control by aggregations of thermally stratified electric water heaters , 2012, 2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe).

[36]  Mattia Marinelli,et al.  Grey-box Modelling of a Household Refrigeration Unit Using Time Series Data in Application to Demand Side Management , 2015, ArXiv.

[37]  Daniel Trudnowski,et al.  Frequency and stability control using decentralized intelligent loads: Benefits and pitfalls , 2010, IEEE PES General Meeting.

[38]  Ian A. Hiskens,et al.  Achieving Controllability of Electric Loads , 2011, Proceedings of the IEEE.

[39]  Geert M. P. van Kempen,et al.  Mean and variance of ratio estimators used in fluorescence ratio imaging. , 2000 .

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

[41]  Goran Andersson,et al.  Primary frequency control with refrigerators under startup dynamics and lockout constraints , 2015, 2015 IEEE Power & Energy Society General Meeting.

[42]  Johanna L. Mathieu,et al.  Control of thermostatic loads using moving horizon estimation of individual load states , 2014, 2014 Power Systems Computation Conference.