Journal of Power Electronics

The Korean Institute of Power Electronics (전력전자학회)
권호 표지
DOI QR코드

DOI QR Code

Study of generalized electric spring modeling based on Hamilton's principle and its stability

  • Xiaohu Wang (School of Electrical Engineering, Shanghai DianJi University) ;
  • Chaohui Zhao (School of Electrical Engineering, Shanghai DianJi University) ;
  • Xinyuan Chen (School of Electrical Engineering, Shanghai DianJi University) ;
  • Zhun Huang (School of Electrical Engineering, Shanghai DianJi University)
  • Received : 2023.07.07
  • Accepted : 2023.12.15
  • Published : 2024.05.20
⟨ Previous Next ⟩

Abstract

The proposed generalized electric spring (G-ES) topology effectively reduces the redundancy caused by the parallel structure of multiple electric springs in a microgrid system. A modeling method for the G-ES is urgently needed to accurately determine the G-ES parameters and to evaluate its transient operation characteristics. The correspondence between Hamilton's principle in mechanics and electricity is introduced, and the feasibility of Hamilton's principle under the smart load topology is verified. The modeling method of the G-ES under Hamilton's principle is discussed, followed by the application of repetitive control strategies on the G-ES. The filter parameters are designed using the normalization method and a simplified parameter design using repetitive controllers was applied. This article introduces the impedance analysis method into the generalized electric spring to analyze its stability under weak network conditions. This work also derives the stability judgment criteria for generalized electric springs. Finally, the feasibility of modeling the G-ES based on the Hamilton's principle was verified using MATLAB and a DSP hardware system. In addition, the consistency between the G-ES and a single intelligent load was verified under the Hamilton's modeling principle. The G-ES stability and dynamic performance under this modeling method meet industry requirements.

Keywords

References

  1. Xu, B., Zhang, G., Li, K., et al.: Publisher Correction: Reactive power optimization of a distribution network with high-penetration of wind and solar renewable energy and electric vehicles. Prot. Control Mod. Power Syst. 8, 1 (2023)
  2. Carreras, F., Kirchsteiger, H.: An iterative linear programming approach to optimize costs in distributed energy systems by considering nonlinear battery inverter efficiencies. Electr. Power Syst. Res. 218, 109183 (2023)
  3. Gao, Q., Lu, S., Zheng, L., Zhang, W.: Frequency regulation mode of renewable energy considering power coordination under the condition of high penetration. Electr. Power Constr. 43, 122-131 (2022)
  4. Chen, X., Fu, W., Zhang, H., Zhang, Y., Wang, R., Li, J.: Optimal dispatching strategy of shared energy storage and multi-microgrid considering the uncertainty of new energy generation. Power Syst. Technol. 1-17 (2023)
  5. Cheng, Q., Shen, Z., Zhang, J., Wu, H., Cheng, Y.: Multi-electric spring distributed collaborative control strategy based on MAS. Electr. Power Autom. Equip. (2023). https://doi.org/10.1109/TSG.2016.2632152
  6. Hui, S.Y.R., Lee, C.K., Wu, F.: Electric springs-a new smart grid technology. IEEE Trans. Smart Grid 3(3), 1552-1561 (2012) https://doi.org/10.1109/TSG.2012.2200701
  7. Tan, S.C., Lee, C.K., Hui, S.Y.R.: General steady-state analysis and control principle of electric springs with active and reactive power compensations. IEEE Trans. Power Electron. 8(28), 3958-3969 (2013)
  8. Wang, X., et al.: Discussed of the operation range, wave compensation and working mode of generalized electric spring. In: 2022 IEEE 5th International Electrical and Energy Conference (CIEEC), China. pp. 3909-3915 (2022)
  9. Chen, T., et al.: A generalized controller for electric-spring-based smart load with both active and reactive power compensation. IEEE J. Emerg. Select. Top. Power Electron. 8(2), 1454-1465 (2022) https://doi.org/10.1109/JESTPE.2019.2908730
  10. Luo, X., Akhtar, Z., Lee, C.K., Chaudhuri, B., Tan, S.-C., Hui, S.Y.R.: Distributed voltage control with electric springs: comparison with STATCOM. IEEE Trans. Smart Grid 6(1), 209-219 (2015) https://doi.org/10.1109/TSG.2014.2345072
  11. He, Y., et al.: A novel control for enhancing voltage regulation of electric springs in low-voltage distribution networks. IEEE Trans. Power Electron. 3(38), 3739-3751 (2023) https://doi.org/10.1109/TPEL.2022.3216845
  12. Duan, Y., et al.: Research on electric springs with switchable smart load. Energy Rep. 8, 478-486 (2022) https://doi.org/10.1016/j.egyr.2022.08.139
  13. Solanki, M.D., Joshi, S.K.: Taxonomy of electric springs: an enabling smart grid technology for effective demand side management. In: 2015 Annual IEEE India Conference (INDICON), New Delhi, India. pp. 1-6 (2015)
  14. Chuang, L.I.U., Haonan, C.H.E.N., Zijiao, H.A.N., Dongbo, G.U.O., Guowei, C.A.I., Yanfeng, G.E., Bingda, Z.H.U.: AC-AC based active electric spring (AC-AES) for distributed voltage regulation. Proc. CSEE. 42(02), 737-747 (2022)
  15. Qiu, P., Qiu, D., Zhang, B., Chen, Y.: A universal controller of electric spring based on current-source inverter. CPSS Trans. Power Electron. Appl. 7(1), 17-27 (2022) https://doi.org/10.24295/CPSSTPEA.2022.00002
  16. Wang, Q., Ding, H., Zhu, H., Buja, G.: A novel topology for DC electric spring with parallel structure. IEEE J. Emerg. Select. Top. Circuits Syst. 13(2), 582-595 (2023) https://doi.org/10.1109/JETCAS.2022.3230690
  17. Wang, X., Duan, Y., Wei, Y., et al.: Analysis of topology and control strategy of generalized electric spring. In: 2022 6th International Conference on Power and Energy Engineering (ICPEE), China. pp. 208-214 (2022)
  18. Buja, G., Castellan, S., Wang, Q.: Sizing procedure of reactive electric spring. IEEE Open J. Ind. Electron. Soc. 3, 283-290 (2022) https://doi.org/10.1109/OJIES.2022.3169589
  19. Hashemi, S., Ostergaard, J.: Methods and strategies for overvoltage prevention in low voltage distribution systems with PV. IET Renew. 11(2), 205-214 (2017)
  20. Zha, X., Liao, S., Huang, M., Yang, Z., Sun, J.: Dynamic aggregation modeling of grid-connected inverters using Hamilton's-action-based coherent equivalence. IEEE Trans. Ind. Electron. 66(8), 6437-6448 (2019) https://doi.org/10.1109/TIE.2019.2891439
  21. Qidi, Z., et al.: Small-signal equivalent modeling method for new energy grid-connected inverters based on Hamilton's principle. Eng. J. Wuhan Univ. 56(1), 114-121 (2023)
  22. Wang, X., Duan, Y., Chen, X. et al.: Study on the working mode and impedance-based stability criterion of generalized electric spring. In: 2023 International Conference on Power Energy Systems and Applications (ICoPESA), China. pp. 46-55 (2023)