An Enhanced Transient Angle Stability Scheme of VSG Based on the PCH Theory
Authors
Jiadong Sun, Xiangyang Xing, Rui Zhang, Chenghui Zhang
Abstract
With the increasing number of distributed generations connected to the grid, the inertia of power grid turns out to be decreased. To address this problem, the virtual synchronous generator (VSG) is proposed, which mimics the mechanical characteristics of the traditional synchronous generators (SGs). However, the introduction of virtual inertia will induce the transient angle instability, which threatens the security and stability of power system when the grid voltage sag occurs. Few methods can effectively tackle this problem, particularly, when the grid voltage sag is severe. In this article, the mechanism of transient angle instability is analyzed, and an enhanced transient angle stability (TAS) scheme is proposed. First, the VSG system is designed as a port-controlled Hamiltonian (PCH) system. Based on the energy shaping, the control law of the PCH system, i.e., the reference active power of VSG is constructed to be model based. Second, benefitting from this model, the TAS can be enhanced by modifying the reference active power via the state variable feedback. Thus, an enhanced TAS scheme that employs the power angle variation is proposed. Moreover, the proposed scheme is proved to be effective in terms of the equal area criterion (EAC) even if the severe grid voltage sag occurs. Finally, the simulations and experiments are carried out to validate the effectiveness of the proposed scheme.
Citation
- Journal: IEEE Transactions on Industrial Electronics
- Year: 2025
- Volume: 72
- Issue: 4
- Pages: 3861–3871
- Publisher: Institute of Electrical and Electronics Engineers (IEEE)
- DOI: 10.1109/tie.2024.3454485
BibTeX
@article{Sun_2025,
title={{An Enhanced Transient Angle Stability Scheme of VSG Based on the PCH Theory}},
volume={72},
ISSN={1557-9948},
DOI={10.1109/tie.2024.3454485},
number={4},
journal={IEEE Transactions on Industrial Electronics},
publisher={Institute of Electrical and Electronics Engineers (IEEE)},
author={Sun, Jiadong and Xing, Xiangyang and Zhang, Rui and Zhang, Chenghui},
year={2025},
pages={3861--3871}
}References
- Fang J, Li H, Tang Y, Blaabjerg F (2019) On the Inertia of Future More-Electronics Power Systems. IEEE J Emerg Sel Topics Power Electron 7(4):2130–2146. https://doi.org/10.1109/jestpe.2018.287776 – 10.1109/jestpe.2018.2877766
- Zhong Q-C, Weiss G (2011) Synchronverters: Inverters That Mimic Synchronous Generators. IEEE Trans Ind Electron 58(4):1259–1267. https://doi.org/10.1109/tie.2010.204883 – 10.1109/tie.2010.2048839
- Chen J, Liu M, Milano F, O’Donnell T (2020) 100% Converter-Interfaced generation using virtual synchronous generator control: A case study based on the irish system. Electric Power Systems Research 187:106475. https://doi.org/10.1016/j.epsr.2020.10647 – 10.1016/j.epsr.2020.106475
- Wu H, Ruan X, Yang D, Chen X, Zhao W, Lv Z, Zhong Q-C (2016) Small-Signal Modeling and Parameters Design for Virtual Synchronous Generators. IEEE Trans Ind Electron 63(7):4292–4303. https://doi.org/10.1109/tie.2016.254318 – 10.1109/tie.2016.2543181
- Chen J, O’Donnell T (2019) Analysis of virtual synchronous generator control and its response based on transfer functions. IET Power Electronics 12(11):2965–2977. https://doi.org/10.1049/iet-pel.2018.571 – 10.1049/iet-pel.2018.5711
- Qu Z, Peng JC-H, Yang H, Srinivasan D (2021) Modeling and Analysis of Inner Controls Effects on Damping and Synchronizing Torque Components in VSG-Controlled Converter. IEEE Trans Energy Convers 36(1):488–499. https://doi.org/10.1109/tec.2020.301004 – 10.1109/tec.2020.3010049
- Chen J, O’Donnell T (2019) Parameter Constraints for Virtual Synchronous Generator Considering Stability. IEEE Trans Power Syst 34(3):2479–2481. https://doi.org/10.1109/tpwrs.2019.289685 – 10.1109/tpwrs.2019.2896853
- Wu W, Zhou L, Chen Y, Luo A, Dong Y, Zhou X, Xu Q, Yang L, Guerrero JM (2019) Sequence-Impedance-Based Stability Comparison Between VSGs and Traditional Grid-Connected Inverters. IEEE Trans Power Electron 34(1):46–52. https://doi.org/10.1109/tpel.2018.284137 – 10.1109/tpel.2018.2841371
- Liu J, Miura Y, Ise T (2016) Comparison of Dynamic Characteristics Between Virtual Synchronous Generator and Droop Control in Inverter-Based Distributed Generators. IEEE Trans Power Electron 31(5):3600–3611. https://doi.org/10.1109/tpel.2015.246585 – 10.1109/tpel.2015.2465852
- Saffar KG, Driss S, Ajaei FB (2023) Impacts of Current Limiting on the Transient Stability of the Virtual Synchronous Generator. IEEE Trans Power Electron 38(2):1509–1521. https://doi.org/10.1109/tpel.2022.320880 – 10.1109/tpel.2022.3208800
- Fan B, Wang X (2023) Fault Recovery Analysis of Grid-Forming Inverters With Priority-Based Current Limiters. IEEE Trans Power Syst 38(6):5102–5112. https://doi.org/10.1109/tpwrs.2022.322120 – 10.1109/tpwrs.2022.3221209
- Shuai Z, Shen C, Liu X, Li Z, Shen ZJ (2019) Transient Angle Stability of Virtual Synchronous Generators Using Lyapunov’s Direct Method. IEEE Trans Smart Grid 10(4):4648–4661. https://doi.org/10.1109/tsg.2018.286612 – 10.1109/tsg.2018.2866122
- Xiong X, Wu C, Blaabjerg F (2022) Effects of Virtual Resistance on Transient Stability of Virtual Synchronous Generators Under Grid Voltage Sag. IEEE Trans Ind Electron 69(5):4754–4764. https://doi.org/10.1109/tie.2021.308205 – 10.1109/tie.2021.3082055
- Lei J, Xiang X, Liu B, Li W, He X (2023) Quantitative and Intuitive VSG Transient Analysis With the Concept of Damping Area Approximation. IEEE Trans Smart Grid 14(3):2477–2480. https://doi.org/10.1109/tsg.2023.325612 – 10.1109/tsg.2023.3256125
- Chen S, Sun Y, Hou X, Han H, Fu S, Su M (2023) Quantitative Parameters Design of VSG Oriented to Transient Synchronization Stability. IEEE Trans Power Syst 38(5):4978–4981. https://doi.org/10.1109/tpwrs.2023.329301 – 10.1109/tpwrs.2023.3293016
- Chen S, Sun Y, Han H, Fu S, Luo S, Shi G (2023) A Modified VSG Control Scheme With Virtual Resistance to Enhance Both Small-Signal Stability and Transient Synchronization Stability. IEEE Trans Power Electron 38(5):6005–6014. https://doi.org/10.1109/tpel.2023.324302 – 10.1109/tpel.2023.3243025
- Me SP, Ravanji MH, Mansour MZ, Zabihi S, Bahrani B (2023) Transient Stability of Paralleled Virtual Synchronous Generator and Grid-Following Inverter. IEEE Trans Smart Grid 14(6):4451–4466. https://doi.org/10.1109/tsg.2023.325516 – 10.1109/tsg.2023.3255168
- Chen M, Zhou D, Blaabjerg F (2022) Enhanced Transient Angle Stability Control of Grid-Forming Converter Based on Virtual Synchronous Generator. IEEE Trans Ind Electron 69(9):9133–9144. https://doi.org/10.1109/tie.2021.311472 – 10.1109/tie.2021.3114723
- Sakimoto K, Miura Y, Ise T (2011) Stabilization of a power system with a distributed generator by a Virtual Synchronous Generator function. 8th International Conference on Power Electronics - ECCE Asia 1498–150 – 10.1109/icpe.2011.5944492
- Koiwa K, Inoo K, Zanma T, Liu K-Z (2022) Virtual Voltage Control of VSG for Overcurrent Suppression Under Symmetrical and Asymmetrical Voltage Dips. IEEE Trans Ind Electron 69(11):11177–11186. https://doi.org/10.1109/tie.2021.312565 – 10.1109/tie.2021.3125654
- Zhong Q-C, Stefanello M (2022) A Port-Hamiltonian Control Framework to Render a Power Electronic System Passive. IEEE Trans Automat Contr 67(4):1960–1965. https://doi.org/10.1109/tac.2021.306938 – 10.1109/tac.2021.3069389
- Wang D (2023) Port-Hamiltonian Control of GFM-VSCs With Robust Stable and Uniform Error Dynamics. IEEE Access 11:109213–109224. https://doi.org/10.1109/access.2023.332158 – 10.1109/access.2023.3321582
- Yang M, Wang Y, Xiao X, Li Y (2023) A Robust Damping Control for Virtual Synchronous Generators Based on Energy Reshaping. IEEE Trans Energy Convers 38(3):2146–2159. https://doi.org/10.1109/tec.2023.326024 – 10.1109/tec.2023.3260244
- Li M, Geng H, Zhang X (2023) Distributed Coordinated Control for Stabilization of Multi-Inverter Power Plant. IEEE Trans Ind Electron 70(12):12421–12430. https://doi.org/10.1109/tie.2023.323789 – 10.1109/tie.2023.3237894
- Tian Z, Tang Y, Zha X, Sun J, Huang M, Fu X, Liu F (2022) Hamilton-Based Stability Criterion and Attraction Region Estimation for Grid-Tied Inverters Under Large-Signal Disturbances. IEEE J Emerg Sel Topics Power Electron 10(1):413–423. https://doi.org/10.1109/jestpe.2021.307618 – 10.1109/jestpe.2021.3076189
- Tian Z, Li X, Zha X, Tang Y, Sun P, Huang M, Yu P (2023) Transient Synchronization Stability of an Islanded AC Microgrid Considering Interactions Between Grid-Forming and Grid-Following Converters. IEEE J Emerg Sel Topics Power Electron 11(4):4463–4476. https://doi.org/10.1109/jestpe.2023.327141 – 10.1109/jestpe.2023.3271418
- Kong L, Xue Y, Qiao L, Wang F (2024) Control Design of Passive Grid-Forming Inverters in Port-Hamiltonian Framework. IEEE Trans Power Electron 39(1):332–345. https://doi.org/10.1109/tpel.2023.331996 – 10.1109/tpel.2023.3319966
- Bretas NG, Alberto LFC (2003) Lyapunov function for power systems with transfer conductances: extension of the invariance principle. IEEE Trans Power Syst 18(2):769–777. https://doi.org/10.1109/tpwrs.2003.81120 – 10.1109/tpwrs.2003.811207
- Ortega R, van der Schaft A, Maschke B, Escobar G (2002) Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38(4):585–596. https://doi.org/10.1016/s0005-1098(01)00278- – 10.1016/s0005-1098(01)00278-3
- IEEE Standard for Interconnection and Interoperability of Distributed Energy Resources with Associated Electric Power Systems Interfaces–Amendment 1: To Provide More Flexibility for Adoption of Abnormal Operating Performance Category II – 10.1109/ieeestd.2020.9069495