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Research Article

Probabilistic Small Signal Stability Analysis with Wind Power Based on Maximum Entropy Theory

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Received 02 Nov 2023, Accepted 20 Jan 2024, Published online: 05 Feb 2024

References

  • D. E. H. J. Gernaat, H. S. de Boer, V. Daioglou, S. G. Yalew, C. Müller and D. P. van Vuuren, “Climate change impacts on renewable energy supply,” Nat. Clim. Chang., vol. 11, no. 2, pp. 119–125, Jan. 2021. DOI: 10.1038/s41558-020-00949-9.
  • D. Wei, J. Wang, Z. Li and R. Wang, “Wind power curve modeling with hybrid copula and Grey Wolf optimization,” IEEE Trans. Sustain. Energy, vol. 13, no. 1, pp. 265–276, Jan. 2022. DOI: 10.1109/TSTE.2021.3109044.
  • J. Xu, P. K. Kanyingi, K. Wang, G. Li, B. Han and X. Jiang, “Probabilistic small signal stability analysis with large scale integration of wind power considering dependence,” Renew. Sust. Energ. Rev., vol. 69, pp. 1258–1270, Mar. 2017. DOI: 10.1016/j.rser.2016.12.041.
  • W. Du, Y. Wang, H. F. Wang, J. Yu and X. Xiao, “Collective impact of multiple doubly fed induction generators with similar dynamics on the oscillation stability of a grid-connected wind farm,” IEEE Trans. Power Delivery, vol. 36, no. 5, pp. 2942–2954, Oct. 2021. DOI: 10.1109/TPWRD.2020.3030645.
  • X. Fang, J. Yao, R. Liu, Y. Zhao, P. Sun and S. Huang, “Small-signal stability analysis and current control reference optimization algorithm of DFIG-based WT during asymmetric grid faults,” IEEE Trans. Power Electron., vol. 36, no. 7, pp. 7750–7768, Jul. 2021. DOI: 10.1109/TPEL.2020.3042514.
  • J. Huang, Z. Yang, J. Yu, J. Liu, Y. Xu and X. Wang, “Optimization for DFIG Fast frequency response with small-signal stability constraint,” IEEE Trans. Energy Convers., vol. 36, no. 3, pp. 2452–2462, Sep. 2021. DOI: 10.1109/TEC.2021.3051944.
  • J. Liu, Z. Yang, J. Yu, J. Huang and W. Li, “Coordinated control parameter setting of DFIG wind farms with virtual inertia control,” Int. J. Electr. Power Energy Syst., vol. 122, pp. 106167, Nov. 2020. DOI: 10.1016/j.ijepes.2020.106167.
  • J. Khazaei, Z. Tu and W. Liu, “Small-signal modeling and analysis of virtual inertia-based PV systems,” IEEE Trans. Energy Convers., vol. 35, no. 2, pp. 1129–1138, Jun. 2020. DOI: 10.1109/TEC.2020.2973102.
  • Y. Xu, H. Nian and L. Chen, “Small-signal modeling and analysis of DC-link dynamics in type-IV wind turbine system,” IEEE Trans. Ind. Electron., vol. 68, no. 2, pp. 1423–1433, 2021. DOI: 10.1109/TIE.2020.2970690.
  • S. Essallah, A. Bouallegue and A. Khedher, “Integration of automatic voltage regulator and power system stabilizer: small-signal stability in DFIG-based wind farms,” J. Mod. Power Syst. Clean Energy, vol. 7, no. 5, pp. 1115–1128, Sep. 2019. DOI: 10.1007/s40565-019-0539-0.
  • A. Sajadi, S. Zhao, K. Clark and K. A. Loparo, “Small-signal stability analysis of large-scale power systems in response to variability of offshore wind power plants,” IEEE Syst. J., vol. 13, no. 3, pp. 3070–3079, Sep. 2019. DOI: 10.1109/JSYST.2018.2885302.
  • T. Wang, D. Mi, T. Ji and Z. Wang, “Small signal stability analysis of wind integrated power systems based on SDEs with random coefficients and excitations,” 2020 IEEE Power & Energy Society General Meeting (PESGM), Montreal, QC, Canada, 2020. IEEE. DOI: 10.1109/PESGM41954.2020.9281920.
  • M. K. Joshi, G. Sharma and I. E. Davidson, “Investigation of diverse sampling time for LFC of hydro power system using discrete LQR with UPFC and RFB,” 2020 International SAUPEC/RobMech/PRASA Conference, Cape Town, South Africa, Jan. 2020. pp. 29–31. DOI: 10.1109/SAUPEC/RobMech/PRASA48453.2020.9041072.
  • M. Joshi, G. Sharma, P. N. Bokoro and N. Krishnan, “A Fuzzy-PSO-PID with UPFC-RFB solution for an LFC of an interlinked hydro power system,” Energies, vol. 15, no. 13, pp. 4847, Jul. 2022. DOI: 10.3390/en15134847.
  • H. Jiang, Y. Bai, S. Wang and R. Xiao, “Analysis method for the influence of wind power integration on small-signal stability of power system,” Proc. CSU-EPSA, vol. 33, no. 9, pp. 9–16, Sep. 2021. DOI: 10.19635/j.cnki.csu-epsa.000706.
  • T. He, S. Li, S. Wu and K. Li, “Small-signal stability analysis for power system frequency regulation with renewable energy participation,” Math. Probl. Eng., vol. 2021, pp. 1–13, Apr. 2021. DOI: 10.1155/2021/5556062.
  • T. Gu, P. Wang, D. Liu, A. Sun, D. Yang and G. Yan, “Modeling and small-signal stability analysis of doubly-fed induction generator integrated system,” Global Energy Interconnection, vol. 6, no. 4, pp. 438–449, Aug. 2023. DOI: 10.1016/j.gloei.2023.08.005.
  • Z. W. Wang, C. Shen and F. Liu, “Probabilistic analysis of small signal stability for power systems with high penetration of wind generation,” IEEE Trans. Sustain. Energy, vol. 7, no. 3, pp. 1182–1193, Jul. 2016. DOI: 10.1109/TSTE.2016.2532359.
  • L. Li, H. Jiang, P. Yang, P. Fan, P. Qi and L. Kang, “Small Signal stability analysis and optimize control of large-scale wind power collection system,” IEEE Access, vol. 10, pp. 28842–28852, Mar. 2022. DOI: 10.1109/ACCESS.2022.3158335.
  • B. Tamang, S. Gurung and K. Chapagain, “Coordination of power system stabilizers using scenario based optimization for enhancement of small-signal stability considering uncertainties,” IET Gener. Transm. Distrib., vol. 17, no. 23, pp. 5308–5322, Dec. 2023. DOI: 10.1049/gtd2.13044.
  • T. S. Amaral, S. Gomes and C. L. T. Borges, “Reliability evaluation of bulk power systems with wind generation using small signal stability analysis,” Int. J. Electr. Power Energy Syst., vol. 129, pp. 106840, Jul. 2021. DOI: 10.1016/j.ijepes.2021.106840.
  • A. Pepiciello and A. Vaccaro, “Small-signal stability analysis of uncertain power systems via interval analysis,” Electr. Power Syst. Res., vol. 212, no. 108339, pp. 108339, Jul. 2022. DOI: 10.1016/j.epsr.2022.108339.
  • J. Shukla, B. Das and V. Pant, “Stability constrained optimal distribution system reconfiguration considering uncertainties in correlated loads and distributed generations,” Int. J. Electr. Power Energy Syst., vol. 99, pp. 121–133, Jul. 2018. DOI: 10.1016/j.ijepes.2018.01.010.
  • G. Wang, H. Xin, D. Wu and P. Ju, “Data-driven probabilistic small signal stability analysis for grid-connected PV systems,” Int. J. Electr. Power Energy Syst., vol. 113, pp. 824–831, Dec. 2019. DOI: 10.1016/j.ijepes.2019.06.004.
  • S. Liu, P. X. Liu and X. Wang, “Stochastic small-signal stability analysis of grid-connected photovoltaic systems,” IEEE Trans. Ind. Electron., vol. 63, no. 2, pp. 1027–1038, Feb. 2016. DOI: 10.1109/TIE.2015.2481359.
  • A. Mohammad-Djafari, “A Matlab program to calculate the maximum entropy distribution, maximum entropy and Bayesian Methods,” Fundamental Theories Phys., vol. 50, pp. 221–233, 1992. DOI: 10.1007/978-94-017-2219-3_16.
  • B. Sui, K. Hou, H. Jia, Y. Mu and X. Yu, “Maximum entropy based probabilistic load flow calculation for power system integrated with wind power generation,” J. Mod. Power Syst. Clean Energy, vol. 6, no. 5, pp. 1042–1054, Sep. 2018. DOI: 10.1007/s40565-018-0384-6.
  • Q. Bian, Y. Qiu, W. Wu, H. Xin and X. Fu, “Generation dispatch method based on maximum entropy principle for power systems with high penetration of wind power,” J. Mod. Power Syst. Clean Energy, vol. 6, no. 6, pp. 1213–1222, Nov. 2018. DOI: 10.1007/s40565-018-0419-z.
  • C. Xia, X. Zheng, L. Guan and S. Baig, “Probability analysis of steady-state voltage stability considering correlated stochastic variables,” Int. J. Electr. Power Energy Syst., vol. 131, pp. 107105, Oct. 2021. DOI: 10.1016/j.ijepes.2021.107105.
  • B. Mehta, P. Bhatt and V. Pandya, “Small signal stability analysis of power systems with DFIG based wind power penetration,” Int. J. Electr. Power Energy Syst., vol. 58, pp. 64–74, Jun. 2014. DOI: 10.1016/j.ijepes.2014.01.005.
  • R. Cao, J. Xing, B. Sui and H. Ma, “An improved integrated cumulant method by probability distribution pre-identification in power system with wind generation,” IEEE Access, vol. 9, pp. 107589–107599, Jul. 2021. DOI: 10.1109/ACCESS.2021.3100627.
  • P. Kundur, Power System Stability and Control. New York, USA: McGraw-Hill, 1994.
  • D. Gautam, V. Vittal and T. Harbour, “Impact of increased penetration of DFIG-Based wind turbine generators on transient and small signal stability of power systems,” IEEE Trans. Power Syst., vol. 24, no. 3, pp. 1426–1434, Aug. 2009. DOI: 10.1109/TPWRS.2009.2021234.
  • M. A. Pai, Energy Function Analysis for Power System Stability. Boston, USA: Kluwer Academic, 1989.

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