References
- Wang C, Lyu C, Li P, et al. Multiple time-scale optimal scheduling of community integrated energy system based on model predictive control. Proc CSEE. 2019;39(23):6791–6803.
- Tahir MF, Haoyong C, Guangze H. A comprehensive review of 4e analysis of thermal power plants, intermittent renewable energy and integrated energy systems. Energy Rep. 2021;7:3517–3534. doi: 10.1016/j.egyr.2021.06.006
- Nikbakht Naserabad S, Rafee R, Saedodin S, et al. Multi-objective optimization of a building integrated energy system and assessing the effectiveness of supportive energy policies in iran. Sustainable Energy Technol Assess. 2021;47:101343. doi: 10.1016/j.seta.2021.101343
- Bahrami S, Sheikhi A. From demand response in smart grid toward integrated demand response in smart energy hub. IEEE Trans Smart Grid. 2016;7(2):650–658. doi: 10.1109/TSG.2014.2377020
- Sheikhi A, Rayati M, Bahrami S, et al. Integrated demand side management game in smart energy hubs. IEEE Trans Smart Grid. 2015;6(2):675–683. doi: 10.1109/TSG.2014.2377020
- Wen Y, Hu Z, You S, et al. Aggregate feasible region of ders: exact formulation and approximate models. IEEE Trans Smart Grid. 2022;13(6):4405–4423. doi: 10.1109/TSG.2022.3179998
- He G, Chen Q, Kang C, et al. Optimal bidding strategy of battery storage in power markets considering performance-based regulation and battery cycle life. IEEE Trans Smart Grid. 2016;7(5):2359–2367. doi: 10.1109/TSG.2015.2424314
- Yi Z, Xu Y, Gu W, et al. A multi-time-scale economic scheduling strategy for virtual power plant based on deferrable loads aggregation and disaggregation. IEEE Trans Sustainable Energy. 2020;11(3):1332–1346. doi: 10.1109/TSTE.2019.2924936
- Hao H, Sanandaji BM, Poolla K, et al. Aggregate flexibility of thermostatically controlled loads. IEEE Trans Power Syst. 2015;30(1):189–198. doi: 10.1109/TPWRS.2014.2328865
- Zhao L, Zhang W, Hao H, et al. A geometric approach to aggregate flexibility modeling of thermostatically controlled loads. IEEE Trans Power Syst. 2017;32(6):4721–4731. doi: 10.1109/TPWRS.2017.2674699
- Barot S, Taylor JA. A concise, approximate representation of a collection of loads described by polytopes. I I. Int J Electr Power Energy Syst. 2017;84:55–63. doi: 10.1016/j.ijepes.2016.05.001
- Yi Z, Xu Y, Gu W, et al. Aggregate operation model for numerous small-capacity distributed energy resources considering uncertainty. IEEE Trans Smart Grid. 2021;12(5):4208–4224. doi: 10.1109/TSG.2021.3085885
- Šikšnys L, Valsomatzis E, Hose K, et al. Aggregating and disaggregating flexibility objects. IEEE Trans Knowledge Data Eng. 2015;27(11):2893–2906. doi: 10.1109/TKDE.2015.2445755
- Chen X, Dall’anese E, Zhao C, et al. Aggregate power flexibility in unbalanced distribution systems. IEEE Trans Smart Grid. 2020;11(1):258–269. doi: 10.1109/TSG.2019.2920991
- Vandenberghe L, Boyd S, Wu SP. Determinant maximization with linear matrix inequality constraints. SIAM J Matrix Anal Appl. 1998;19(2):499–533. doi: 10.1137/S0895479896303430
- Müller FL, Szabó J, Sundström O, et al. Aggregation and disaggregation of energetic flexibility from distributed energy resources. IEEE Trans Smart Grid. 2019;10(2):1205–1214. doi: 10.1109/TSG.2017.2761439
- Müller FL, Sundström O, Szabó J, et al. Aggregation of energetic flexibility using zonotopes. In: 2015 54th IEEE Conference on Decision and Control (CDC); Osaka, Japan. 2015. p. 6564–6569.
- Madjidian D, Roozbehani M, Dahleh MA. Energy storage from aggregate deferrable demand: fundamental trade-offs and scheduling policies. IEEE Trans Power Syst. 2018;33(4):3573–3586. doi: 10.1109/TPWRS.2017.2766144
- Hughes JT, Domínguez-García AD, Poolla K. Identification of virtual battery models for flexible loads. IEEE Trans Power Syst. 2016;31(6):4660–4669. doi: 10.1109/TPWRS.2015.2505645
- Callaway DS, Hiskens IA. Achieving controllability of electric loads. Proc IEEE. 2011;99(1):184–199. doi: 10.1109/JPROC.2010.2081652
- Li Q, Vittal V. Non-iterative enhanced sdp relaxations for optimal scheduling of distributed energy storage in distribution systems. IEEE Trans Power Syst. 2017;32(3):1721–1732. doi: 10.1109/TPWRS.2016.2594298
- Hao H, Sanandaji BM, Poolla K, et al. A generalized battery model of a collection of thermostatically controlled loads for providing ancillary service. In: 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton), Monticello, IL, USA. 2013. p. 551–558.
- Ziegler GM. Lectures on polytopes. New York, NY: Springer; 1994.
- Kvasnica M. Minkowski addition of convex polytopes. 2005. https://www.researchgate.net/publication/249915078_Minkowski_addition_of_convex_polytopes
- Weibel C, Guo X, Esper F. Minkowski sums of polytopes: combinatorics and computation. J Clin Virol. 2007;40(3):207–213. doi: 10.1016/j.jcv.2007.08.007
- Barot S. Aggregate load modeling for demand response via the Minkowski sum. [doctoral dissertation]. Canada: University of Toronto; 2017.
- Mathieu JL, Dyson ME, Callaway DS. Using residential electric loads for fast demand response: the potential resource and revenues, the costs, and policy recommendations. 2012 ACEEE Sum Stu Energy Effi in Buil. 2012;1:189–203.