Design and Stability of Market-Oriented Frequency Regulation in Power Systems With CHP Units and Renewable Sources
Authors
Chenyu Wu, Zhi Wu, Wei Gu, Zhongkai Yi, Xi Chen, Qiwei Chen
Abstract
Electricity industry marketization and combined heat and power (CHP) systems are actively considered efficacious approaches for balancing supply and demand in future energy systems with high penetration of renewable sources. Relevant research to date has paid little attention to the interaction of economic behaviors with the dynamics of the CHP system, focusing only on optimal bidding at the economic level or stability at the physical level. By leveraging the primal-dual method and the insights from reverse engineering, we propose a unified economic-physical model to investigate how market dynamics interact with its underlying physical CHP systems. The market clearing optimization is redesigned as a controller that restores the nominal frequency while maximizing social welfare. This work steps further toward developing a novel control scheme for frequency regulation in market-oriented power systems with CHP units and renewable sources. As the proposed model can be formulated in port-Hamiltonian form, the stability of the closed-loop system can be assessed using Lyapunov’s direct method. The capability and effectiveness of the proposed model are demonstrated through simulations.
Citation
- Journal: IEEE Transactions on Industrial Informatics
- Year: 2025
- Volume: 21
- Issue: 6
- Pages: 4661–4671
- Publisher: Institute of Electrical and Electronics Engineers (IEEE)
- DOI: 10.1109/tii.2025.3545082
BibTeX
@article{Wu_2025,
title={{Design and Stability of Market-Oriented Frequency Regulation in Power Systems With CHP Units and Renewable Sources}},
volume={21},
ISSN={1941-0050},
DOI={10.1109/tii.2025.3545082},
number={6},
journal={IEEE Transactions on Industrial Informatics},
publisher={Institute of Electrical and Electronics Engineers (IEEE)},
author={Wu, Chenyu and Wu, Zhi and Gu, Wei and Yi, Zhongkai and Chen, Xi and Chen, Qiwei},
year={2025},
pages={4661--4671}
}References
- Wu C, Gu W, Jiang P, Li Z, Cai H, Li B (2018) Combined Economic Dispatch Considering the Time-Delay of District Heating Network and Multi-Regional Indoor Temperature Control. IEEE Trans Sustain Energy 9(1):118–127. https://doi.org/10.1109/tste.2017.271803 – 10.1109/tste.2017.2718031
- Djørup S, Thellufsen JZ, Sorknæs P (2018) The electricity market in a renewable energy system. Energy 162:148–157. https://doi.org/10.1016/j.energy.2018.07.10 – 10.1016/j.energy.2018.07.100
- Li L, Duan B, Xu Y, Su Y (2016) A game theory mechanism for thermal power plant to participate in wind power heating in electricity markets. 2016 China International Conference on Electricity Distribution (CICED) 1– – 10.1109/ciced.2016.7576299
- Zima-Bočkarjova M, Matevosyan J, Zima M, Söder L (2010) Sharing of Profit From Coordinated Operation Planning and Bidding of Hydro and Wind Power. IEEE Trans Power Syst 25(3):1663–1673. https://doi.org/10.1109/tpwrs.2010.204063 – 10.1109/tpwrs.2010.2040636
- Zhang R, Jiang T, Li F, Li G, Chen H, Li X (2020) Coordinated Bidding Strategy of Wind Farms and Power-to-Gas Facilities Using a Cooperative Game Approach. IEEE Trans Sustain Energy 11(4):2545–2555. https://doi.org/10.1109/tste.2020.296552 – 10.1109/tste.2020.2965521
- Chattopadhyay D, Alpcan T (2014) A Game-Theoretic Analysis of Wind Generation Variability on Electricity Markets. IEEE Trans Power Syst 29(5):2069–2077. https://doi.org/10.1109/tpwrs.2014.230619 – 10.1109/tpwrs.2014.2306192
- Kaheh Z, Kazemzadeh RB, Sheikh‐El‐Eslami MK (2019) Simultaneous consideration of the balancing market and day‐ahead market in Stackelberg game for flexiramp procurement problem in the presence of the wind farms and a DR aggregator. IET Generation Trans & Dist 13(18):4099–4113. https://doi.org/10.1049/iet-gtd.2018.666 – 10.1049/iet-gtd.2018.6666
- Buygi MO, Zareipour H, Rosehart WD (2012) Impacts of Large-Scale Integration of Intermittent Resources on Electricity Markets: A Supply Function Equilibrium Approach. IEEE Systems Journal 6(2):220–232. https://doi.org/10.1109/jsyst.2011.216289 – 10.1109/jsyst.2011.2162895
- Arrow KJ, Block HD, Hurwicz L (1959) On the Stability of the Competitive Equilibrium, II. Econometrica 27(1):82. https://doi.org/10.2307/190777 – 10.2307/1907779
- Alvarado F (1999) The stability of power system markets. IEEE Trans Power Syst 14(2):505–511. https://doi.org/10.1109/59.76187 – 10.1109/59.761873
- Zhang C-K, He Y, Jiang L, Wu M, Wu QH (2014) Stability analysis of sampled-data systems considering time delays and its application to electric power markets. Journal of the Franklin Institute 351(9):4457–4478. https://doi.org/10.1016/j.jfranklin.2014.05.01 – 10.1016/j.jfranklin.2014.05.014
- Muto K, Namerikawa T, Qu Z (2018) Passivity-Short-based Stability Analysis on Electricity Market Trading System Considering Negative Price. 2018 IEEE Conference on Control Technology and Applications (CCTA) 418–42 – 10.1109/ccta.2018.8511465
- Alvarado FL, Meng J, DeMarco CL, Mota WS (2001) Stability analysis of interconnected power systems coupled with market dynamics. IEEE Trans Power Syst 16(4):695–701. https://doi.org/10.1109/59.96241 – 10.1109/59.962415
- Wood, Power Generation, Operation, and Control (2013)
- Cherukuri A, Stegink T, De Persis C, van der Schaft A, Cortés J (2021) Frequency-driven market mechanisms for optimal dispatch in power networks. Automatica 133:109861. https://doi.org/10.1016/j.automatica.2021.10986 – 10.1016/j.automatica.2021.109861
- Kiani Bejestani A, Annaswamy A, Samad T (2014) A Hierarchical Transactive Control Architecture for Renewables Integration in Smart Grids: Analytical Modeling and Stability. IEEE Trans Smart Grid 5(4):2054–2065. https://doi.org/10.1109/tsg.2014.232557 – 10.1109/tsg.2014.2325575
- Shiltz DJ, Cvetkovic M, Annaswamy AM (2016) An Integrated Dynamic Market Mechanism for Real-Time Markets and Frequency Regulation. IEEE Trans Sustain Energy 7(2):875–885. https://doi.org/10.1109/tste.2015.249854 – 10.1109/tste.2015.2498545
- Barik AK, Das DC (2019) Coordinated regulation of voltage and load frequency in demand response supported biorenewable cogeneration‐based isolated hybrid microgrid with quasi‐oppositional selfish herd optimisation. Int Trans Electr Energ Syst 30(1). https://doi.org/10.1002/2050-7038.1217 – 10.1002/2050-7038.12176
- Sun T, Lu J, Li Z, Lubkeman DL, Lu N (2018) Modeling Combined Heat and Power Systems for Microgrid Applications. IEEE Trans Smart Grid 9(5):4172–4180. https://doi.org/10.1109/tsg.2017.265272 – 10.1109/tsg.2017.2652723
- Wang W, Jing S, Sun Y, Liu J, Niu Y, Zeng D, Cui C (2019) Combined heat and power control considering thermal inertia of district heating network for flexible electric power regulation. Energy 169:988–999. https://doi.org/10.1016/j.energy.2018.12.08 – 10.1016/j.energy.2018.12.085
- Papaefthymiou G, Hasche B, Nabe C (2012) Potential of Heat Pumps for Demand Side Management and Wind Power Integration in the German Electricity Market. IEEE Trans Sustain Energy 3(4):636–642. https://doi.org/10.1109/tste.2012.220213 – 10.1109/tste.2012.2202132
- Zhao N, Yue D, Dou C, Shi T (2024) Distributed Dynamic Event-Triggered Cooperative Control of Multiple TCLs and HESS for Improving Frequency Regulation. IEEE Trans Ind Inf 20(2):1539–1549. https://doi.org/10.1109/tii.2023.327203 – 10.1109/tii.2023.3272035
- Tian G, Sun QZ (2023) A Stochastic Controller for Primary Frequency Regulation Using ON/OFF Demand Side Resources. IEEE Trans Smart Grid 14(5):4141–4144. https://doi.org/10.1109/tsg.2023.329121 – 10.1109/tsg.2023.3291218
- He L, Tan Z, Li Y, Cao Y, Chen C (2024) A Coordinated Consensus Control Strategy for Distributed Battery Energy Storages Considering Different Frequency Control Demands. IEEE Trans Sustain Energy 15(1):304–315. https://doi.org/10.1109/tste.2023.328397 – 10.1109/tste.2023.3283972
- Dalla Rosa A, Boulter R, Church K, Svendsen S (2012) District heating (DH) network design and operation toward a system-wide methodology for optimizing renewable energy solutions (SMORES) in Canada: A case study. Energy 45(1):960–974. https://doi.org/10.1016/j.energy.2012.06.06 – 10.1016/j.energy.2012.06.062
- Li Z, Wu W, Wang J, Zhang B, Zheng T (2016) Transmission-Constrained Unit Commitment Considering Combined Electricity and District Heating Networks. IEEE Trans Sustain Energy 7(2):480–492. https://doi.org/10.1109/tste.2015.250057 – 10.1109/tste.2015.2500571
- Xu X, Ming W, Zhou Y, Wu J (2021) Unlock the Flexibility of Combined Heat and Power for Frequency Response by Coordinative Control With Batteries. IEEE Trans Ind Inf 17(5):3209–3219. https://doi.org/10.1109/tii.2020.301249 – 10.1109/tii.2020.3012495
- Kundur, Power System Stability and Control (1994)
- Monshizadeh P, De Persis C, Stegink T, Monshizadeh N, van der Schaft A (2017) Stability and frequency regulation of inverters with capacitive inertia. 2017 IEEE 56th Annual Conference on Decision and Control (CDC) 5696–570 – 10.1109/cdc.2017.8264519
- Jouini T, Arghir C, Dörfler F (2016) Grid-Friendly Matching of Synchronous Machines by Tapping into the DC Storage**This research is supported by ETH funds and the SNF Assistant Professor Energy Grant #160573. IFAC-PapersOnLine 49(22):192–197. https://doi.org/10.1016/j.ifacol.2016.10.39 – 10.1016/j.ifacol.2016.10.395
- Yang J, Zhang N, Botterud A, Kang C (2020) On An Equivalent Representation of the Dynamics in District Heating Networks for Combined Electricity-Heat Operation. IEEE Trans Power Syst 35(1):560–570. https://doi.org/10.1109/tpwrs.2019.293574 – 10.1109/tpwrs.2019.2935748
- Zhao C, Mallada E, Low S, Bialek J (2016) A unified framework for frequency control and congestion management. 2016 Power Systems Computation Conference (PSCC) 1– – 10.1109/pscc.2016.7541028
- Egüez A (2021) District heating network ownership and prices: The case of an unregulated natural monopoly. Utilities Policy 72:101252. https://doi.org/10.1016/j.jup.2021.10125 – 10.1016/j.jup.2021.101252
- Jokic A, Lazar M, van den Bosch P (2009) On Constrained Steady-State Regulation: Dynamic KKT Controllers. IEEE Trans Automat Contr 54(9):2250–2254. https://doi.org/10.1109/tac.2009.202685 – 10.1109/tac.2009.2026856
- Morales JM, Conejo AJ, Perez-Ruiz J (2009) Economic Valuation of Reserves in Power Systems With High Penetration of Wind Power. IEEE Trans Power Syst 24(2):900–910. https://doi.org/10.1109/tpwrs.2009.201659 – 10.1109/tpwrs.2009.2016598
- Bialek J (1997) Topological generation and load distribution factors for supplement charge allocation in transmission open access. IEEE Trans Power Syst 12(3):1185–1193. https://doi.org/10.1109/59.63046 – 10.1109/59.630460
- (2025) Multi-Energy Supplying Strategies in Coupled Electricity-Heat-Gas Markets. CSEE JPES. https://doi.org/10.17775/cseejpes.2021.0947 – 10.17775/cseejpes.2021.09470