IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i18p3412-d264082.html
   My bibliography  Save this article

Small Signal Stability with the Householder Method in Power Systems

Author

Listed:
  • Asghar Sabati

    (Energy R&D Center, EUROPOWER, PC 06980 Ankara, Turkey)

  • Ramazan Bayindir

    (Department of Electrical & Electronics Engineering, Gazi University, PC 06500 Ankara, Turkey)

  • Sanjeevikumar Padmanaban

    (Department of Energy Technology, Aalborg University, 6700 Esbjerg, Denmark)

  • Eklas Hossain

    (Oregon Renewable Energy Center (OREC), Department of Electrical Engineering and Renewable Energy, Oregon Tech, Klamath Falls, OR 97601, USA)

  • Mehmet Rida Tur

    (Department of Electrical & Energy Engineering, Batman University, PC 72500 TBMYO, Batman, Turkey)

Abstract

Voltage collapse in power systems is still considered the greatest threat, especially for the transmission system. This is directly related to the quality of the power, which is characterized by the loss of a stable operating point and the deterioration of voltage levels in the electrical center of the region exposed to voltage collapse. Numerous solution methods have been investigated for this undesirable degradation. This paper focuses on the steady state/dynamic stability subcategory and techniques that can be used to analyze and control the dynamic stability of a power system, especially following a minor disturbance. In particular, the failure of one generator among the network with a large number of synchronous generators will affect other synchronous generators. This will become a major problem and it will be difficult to find or resolve the fault in the network due to there being too many variables, consequently affecting the stability of the entire system. Since the solution of large matrices can be completed more easily in this complex system using the Householder method, which is a small signal stability analysis method that is suggested in the thesis, the detection of error and troubleshooting can be performed in a shorter period of time. In this paper, examples of different rotor angle deviations of synchronous generators were made by simulating rotor angle stability deviations up to five degrees, allowing the system to operate stably, and concluding that the system remains constant.

Suggested Citation

  • Asghar Sabati & Ramazan Bayindir & Sanjeevikumar Padmanaban & Eklas Hossain & Mehmet Rida Tur, 2019. "Small Signal Stability with the Householder Method in Power Systems," Energies, MDPI, vol. 12(18), pages 1-16, September.
  • Handle: RePEc:gam:jeners:v:12:y:2019:i:18:p:3412-:d:264082
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/18/3412/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/12/18/3412/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Dan Huang & Qiyu Chen & Shiying Ma & Yichi Zhang & Shuyong Chen, 2018. "Wide-Area Measurement—Based Model-Free Approach for Online Power System Transient Stability Assessment," Energies, MDPI, vol. 11(4), pages 1-20, April.
    2. Yang, Weijia & Norrlund, Per & Chung, Chi Yung & Yang, Jiandong & Lundin, Urban, 2018. "Eigen-analysis of hydraulic-mechanical-electrical coupling mechanism for small signal stability of hydropower plant," Renewable Energy, Elsevier, vol. 115(C), pages 1014-1025.
    3. Yan Xu & Fushuan Wen & Hongwei Zhao & Minghui Chen & Zeng Yang & Huiyu Shang, 2018. "Stochastic Small Signal Stability of a Power System with Uncertainties," Energies, MDPI, vol. 11(11), pages 1-16, November.
    4. Yanbo Che & Jianmei Xu & Kun Shi & Huanan Liu & Weihua Chen & Dongmin Yu, 2017. "Stability Analysis of Aircraft Power Systems Based on a Unified Large Signal Model," Energies, MDPI, vol. 10(11), pages 1-15, October.
    5. Sohail Khan & Benoit Bletterie & Adolfo Anta & Wolfgang Gawlik, 2018. "On Small Signal Frequency Stability under Virtual Inertia and the Role of PLLs," Energies, MDPI, vol. 11(9), pages 1-18, September.
    6. Bezerra, Licio Hernanes & Martins, Nelson, 2019. "Eigenvalue methods for calculating dominant poles of a transfer function and their applications in small-signal stability," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 113-121.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Tao Zhou & Zhong Chen & Siqi Bu & Haoran Tang & Yi Liu, 2018. "Eigen-Analysis Considering Time-Delay and Data-Loss of WAMS and ITS Application to WADC Design Based on Damping Torque Analysis," Energies, MDPI, vol. 11(11), pages 1-15, November.
    2. Yifei Wang & Youxin Yuan, 2019. "Inertia Provision and Small Signal Stability Analysis of a Wind-Power Generation System Using Phase-Locked Synchronized Equation," Sustainability, MDPI, vol. 11(5), pages 1-21, March.
    3. Biyun Chen & Haoying Chen & Yiyi Zhang & Junhui Zhao & Emad Manla, 2019. "Risk Assessment for the Power Grid Dispatching Process Considering the Impact of Cyber Systems," Energies, MDPI, vol. 12(6), pages 1-18, March.
    4. Huimin Wang & Zhaojun Steven Li, 2022. "An AdaBoost-based tree augmented naive Bayesian classifier for transient stability assessment of power systems," Journal of Risk and Reliability, , vol. 236(3), pages 495-507, June.
    5. Xu, Beibei & Jun, Hong-Bae & Chen, Diyi & Li, Huanhuan & Zhang, Jingjing & Cavalcante Blanco, Claudio Jose & Shen, Haijun, 2019. "Stability analysis of a hydro-turbine governing system considering inner energy losses," Renewable Energy, Elsevier, vol. 134(C), pages 258-266.
    6. Liu, Yi & Zhang, Jian & Liu, Zhe & Chen, Long & Yu, Xiaodong, 2022. "Surge wave characteristics for hydropower plant with upstream double surge tanks connected in series under small load disturbance," Renewable Energy, Elsevier, vol. 186(C), pages 667-676.
    7. Chen, Jinbao & Zheng, Yang & Liu, Dong & Du, Yang & Xiao, Zhihuai, 2023. "Quantitative stability analysis of complex nonlinear hydraulic turbine regulation system based on accurate calculation," Applied Energy, Elsevier, vol. 351(C).
    8. Martínez – Lucas, Guillermo & Sarasua, José Ignacio & Fernández – Guillamón, Ana & Molina – García, Ángel, 2021. "Combined hydro-wind frequency control scheme: Modal analysis and isolated power system case example," Renewable Energy, Elsevier, vol. 180(C), pages 1056-1072.
    9. Liu, Dong & Wang, Xin & Peng, Yunshui & Zhang, Hui & Xiao, Zhihuai & Han, Xiangdong & Malik, O.P., 2020. "Stability analysis of hydropower units under full operating conditions considering turbine nonlinearity," Renewable Energy, Elsevier, vol. 154(C), pages 723-742.
    10. Adrian Nocoń & Stefan Paszek, 2023. "A Comprehensive Review of Power System Stabilizers," Energies, MDPI, vol. 16(4), pages 1-32, February.
    11. Xu, Beibei & Chen, Diyi & Venkateshkumar, M. & Xiao, Yu & Yue, Yan & Xing, Yanqiu & Li, Peiquan, 2019. "Modeling a pumped storage hydropower integrated to a hybrid power system with solar-wind power and its stability analysis," Applied Energy, Elsevier, vol. 248(C), pages 446-462.
    12. Liu, Dong & Li, Chaoshun & Tan, Xiaoqiang & Lu, Xueding & Malik, O.P., 2021. "Damping characteristics analysis of hydropower units under full operating conditions and control parameters: Accurate quantitative evaluation based on refined models," Applied Energy, Elsevier, vol. 292(C).
    13. Xu, Beibei & Zhang, Jingjing & Egusquiza, Mònica & Chen, Diyi & Li, Feng & Behrens, Paul & Egusquiza, Eduard, 2021. "A review of dynamic models and stability analysis for a hydro-turbine governing system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    14. He Wang & Zhijie Ma, 2021. "Regulation Characteristics and Load Optimization of Pump-Turbine in Variable-Speed Operation," Energies, MDPI, vol. 14(24), pages 1-21, December.
    15. Gharebaghi, Sina & Chaudhuri, Nilanjan Ray & He, Ting & La Porta, Thomas, 2023. "An approach for fast cascading failure simulation in dynamic models of power systems," Applied Energy, Elsevier, vol. 332(C).
    16. Yuxia Jiang & Yonggang Li & Yanjun Tian & Luo Wang, 2018. "Phase-Locked Loop Research of Grid-Connected Inverter Based on Impedance Analysis," Energies, MDPI, vol. 11(11), pages 1-21, November.
    17. Dong, Wenhui & Cao, Zezhou & Zhao, Pengchong & Yang, Zhenbiao & Yuan, Yichen & Zhao, Ziwen & Chen, Diyi & Wu, Yajun & Xu, Beibei & Venkateshkumar, M., 2023. "A segmented optimal PID method to consider both regulation performance and damping characteristic of hydroelectric power system," Renewable Energy, Elsevier, vol. 207(C), pages 1-12.
    18. Yu, Xiaodong & Yang, Xiuwei & Yu, Chao & Zhang, Jian & Tian, Yuan, 2021. "Direct approach to optimize PID controller parameters of hydropower plants," Renewable Energy, Elsevier, vol. 173(C), pages 342-350.
    19. Chen, Jinbao & Liu, Shaohua & Wang, Yunhe & Hu, Wenqing & Zou, Yidong & Zheng, Yang & Xiao, Zhihuai, 2024. "Generalized predictive control application scheme for nonlinear hydro-turbine regulation system: Based on a precise novel control structure," Energy, Elsevier, vol. 296(C).
    20. Shi, Yousong & Zhou, Jianzhong & Guo, Wencheng & Zheng, Yang & Li, Chaoshun & Zhang, Yongchuan, 2022. "Nonlinear dynamic characteristics analysis and adaptive avoid vortex-coordinated optimal control of hydropower units under grid connection," Renewable Energy, Elsevier, vol. 200(C), pages 911-930.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:12:y:2019:i:18:p:3412-:d:264082. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.