Rolling horizon control architecture for distributed agents of thermostatically controlled loads enabling long-term grid-level ancillary services

Abstract This paper proposes novel modeling and control frameworks to evaluate the underlying capability of Thermostatically Controlled Loads (TCLs). The modeling architecture is based on distributed agents responsible for monitoring and controlling a small group of TCLs. Agents are mathematically formulated as a tracking problem in a mixed-integer linear programming format. Control actions are obtained by solving the agents sequentially in a rolling horizon control architecture. A step required to avoid the curse of dimensionality dictated by the number of devices and the duration of the planning horizon. The proposed architectures provide more practical evaluations in quantifying TCLs’ capability. In essence, individual devices are described by distinct parameters and different operating conditions imitating real-life devices found in actual distribution systems. In contrast to aggregate models developed in the literature, this work inherently allows devices’ heterogeneity, captures the outside temperature variations, and provides control access for both set-points and devices’ status. In this paper, the scope of TCLs evaluation is providing long-term services such as load-shifting and sustained load-reductions. Simulation results have shown that 1000 heterogeneous TCLs represented by air-conditioners are able to achieve both services. However, consequences on customers’ comfort are expected proportional to the extracted service. For instance, a sustained average power reduction of 319 KW causes an average set-point increase of 3.8 ° F .

[1]  Tao Yu,et al.  Perturbation observer based fractional-order PID control of photovoltaics inverters for solar energy harvesting via Yin-Yang-Pair optimization , 2018, Energy Conversion and Management.

[2]  Eric Martinot,et al.  Grid Integration of Renewable Energy: Flexibility, Innovation, and Experience , 2016 .

[3]  E. Ela,et al.  Studying the Variability and Uncertainty Impacts of Variable Generation at Multiple Timescales , 2012, IEEE Transactions on Power Systems.

[4]  Tyrone L. Vincent,et al.  Aggregate Flexibility of Thermostatically Controlled Loads , 2015, IEEE Transactions on Power Systems.

[5]  Venkataramana Ajjarapu,et al.  Demand Response planning in day-ahead market for improving power system flexibility with high wind penetration levels , 2015, 2015 North American Power Symposium (NAPS).

[6]  Kit Po Wong,et al.  Distributed control of thermostatically controlled loads in distribution network with high penetration of solar PV , 2017 .

[7]  Venkataramana Ajjarapu,et al.  Sequential Set-Point Control for Heterogeneous Thermostatically Controlled Loads Through an Extended Markov Chain Abstraction , 2019, IEEE Transactions on Smart Grid.

[8]  Soumya Kundu,et al.  Safe Protocols for Generating Power Pulses with Heterogeneous Populations of Thermostatically Controlled Loads , 2012, 1211.0248.

[9]  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.

[10]  Scott J. Moura,et al.  Recursive parameter estimation of thermostatically controlled loads via unscented Kalman filter , 2016 .

[11]  John Lygeros,et al.  Modeling options for demand side participation of thermostatically controlled loads , 2013, 2013 IREP Symposium Bulk Power System Dynamics and Control - IX Optimization, Security and Control of the Emerging Power Grid.

[12]  Carlos Henggeler Antunes,et al.  A Discussion of Mixed Integer Linear Programming Models of Thermostatic Loads in Demand Response , 2018, Trends in Mathematics.

[13]  Ning Lu,et al.  Cooling Devices in Demand Response: A Comparison of Control Methods , 2015, IEEE Transactions on Smart Grid.

[14]  Y. M. Atwa,et al.  Optimal Allocation of ESS in Distribution Systems With a High Penetration of Wind Energy , 2010, IEEE Transactions on Power Systems.

[15]  N. Lu,et al.  A state-queueing model of thermostatically controlled appliances , 2004 .

[16]  Sudipta Ghosh,et al.  Doubly Fed Induction Generator (DFIG)-Based Wind Farm Control Framework for Primary Frequency and Inertial Response Application , 2016, IEEE Transactions on Power Systems.

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

[18]  Wei Zhang,et al.  Aggregated Modeling and Control of Air Conditioning Loads for Demand Response , 2013 .

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

[20]  Jun Dong,et al.  Robust sliding-mode control of wind energy conversion systems for optimal power extraction via nonlinear perturbation observers , 2018 .

[21]  Jinde Cao,et al.  Load Following of Multiple Heterogeneous TCL Aggregators by Centralized Control , 2017, IEEE Transactions on Power Systems.

[22]  Yang Shi,et al.  Model Predictive Control of Aggregated Heterogeneous Second-Order Thermostatically Controlled Loads for Ancillary Services , 2016, IEEE Transactions on Power Systems.

[23]  Dirk Vanhoudt,et al.  Model-Free Control of Thermostatically Controlled Loads Connected to a District Heating Network , 2017, ArXiv.

[24]  Venkataramana Ajjarapu,et al.  Real-Time Local Volt/Var Control Under External Disturbances With High PV Penetration , 2017, IEEE Transactions on Smart Grid.

[25]  Christos V. Verikoukis,et al.  A Survey on Demand Response Programs in Smart Grids: Pricing Methods and Optimization Algorithms , 2015, IEEE Communications Surveys & Tutorials.

[26]  Yu Wang,et al.  A Distributed Control Scheme of Thermostatically Controlled Loads for the Building-Microgrid Community , 2020, IEEE Transactions on Sustainable Energy.

[27]  Venkataramana Ajjarapu,et al.  Sensitivity analysis on modeling heterogeneous thermostatically controlled loads using Markov chain abstraction , 2017, 2017 IEEE Power & Energy Society General Meeting.

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

[29]  Yang Shi,et al.  Distributed MPC of Aggregated Heterogeneous Thermostatically Controlled Loads in Smart Grid , 2016, IEEE Transactions on Industrial Electronics.

[30]  Geert Deconinck,et al.  Cluster Control of Heterogeneous Thermostatically Controlled Loads Using Tracer Devices , 2017, IEEE Transactions on Smart Grid.

[31]  Venkataramana Ajjarapu,et al.  Extracting expedient short term services from Homogeneous Group of Thermostatically Controlled Loads , 2016, 2016 IEEE Power & Energy Society Innovative Smart Grid Technologies Conference (ISGT).

[32]  K. Schneider,et al.  GridLAB-D: An open-source power systems modeling and simulation environment , 2008, 2008 IEEE/PES Transmission and Distribution Conference and Exposition.

[33]  Hosam K. Fathy,et al.  Modeling and Control of Aggregate Air Conditioning Loads for Robust Renewable Power Management , 2013, IEEE Transactions on Control Systems Technology.

[34]  Johanna L. Mathieu,et al.  State Estimation and Control of Electric Loads to Manage Real-Time Energy Imbalance , 2013 .

[35]  Alessandro Abate,et al.  Aggregation and Control of Populations of Thermostatically Controlled Loads by Formal Abstractions , 2015, IEEE Transactions on Control Systems Technology.

[36]  S.E. Widergren,et al.  Modeling uncertainties in aggregated thermostatically controlled loads using a State queueing model , 2005, IEEE Transactions on Power Systems.