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Mathematical Modeling the Network’s Non-linearity for Analyzing and Assessing the Small-Signal Stability in Multi-machine Power Systems

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Intelligent Systems and Networks (ICISN 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 243))

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Abstract

This paper proposes new mathematical modeling to assess the transient structures with the power network configuration varying in time caused by the small oscillations of angular velocity affect the rotating’s variations of power generators operating under the small-disturbance condition. The typical results and examples presented to prove the new algorithm’s features for analyzing the multiple contingent changes occurring under the daily operating condition in the multi-machine power system. The transient parameters, such as the synchronous, asynchronous, damping torques, angles of transient electromotive forces, are simulated with the impact of automatic voltage and frequency regulation. The transient voltage stability estimation values are determined to assess the transient structures influenced by the continuous small-disturbance of angular velocities of the generators operating in the multi-machine power system.

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Abbreviations

Δfi(t):

are the function vectors simulate the external forces varying in time and characterizing the operative changes in the power network.

aij, bij, cij:

are the real coefficients consists of the partial derivatives of functions of y(xi) with respect to the state variables of xi found at the point of the initial condition.

Δx1, Δx2, ΔG:

are state, input and output variable vectors

A1:

is the state matrix of size nxn

A2:

is the input matrix of size nxr

A3:

is the output matrix of size mxn

A4:

is feedforward matrix of size mxr

Λ:

is the eigenvector matrix

MR:

is the right eigenvector matrix

ML:

is the left eigenvector matrix

References

  1. Venikov, V.: Transient Processes in Electrical Power Systems. Mir Publishers (1980)

    Google Scholar 

  2. Kundur, P.: Power System Stability and Control. Mc Graw Hill, Inc. (1993). ISBN 0-07035958-X

    Google Scholar 

  3. Quang, L.H.V.: A new algorithm assessing the transient stability for ranking the power network areas in large power system. In: 2018 South East Asian Technical University Consortium (SEATUC Symposium), Yogyakarta, Indonesia, pp. 1–6 (2018). https://ieeexplore.ieee.org/abstract/document/8788858

  4. Quang Luu, H.V.: Modeling the transient energy margin for accessing the transient stability with double shot automatic line reclosing in power system. In: 2018 International Conference on Advanced Computing and Applications, Ho Chi Minh City, pp. 29–34 (2018). https://ieeexplore.ieee.org/document/8589485

  5. Quang, L.H.V.: Assessing the transient structure with respect to the voltage stability in large power system. In: 2019 Intelligent Computing in Engineering. Advances in Intelligent Systems and Computing, vol. 1125, pp. 1017–1026. Springer, Singapore (2019). https://doi.org/10.1007/978-981-15-2780-7_106

  6. Quang, L.H.V.: A new algorithm for ranking the transmission lines with respect to the transient voltage stability in multi-machine power system. In: 2019 International Conference on Advanced Computing and Applications, Nhatrang, Vietnam, pp. 135–140 (2019). https://ieeexplore.ieee.org/document/9044242

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Author information

Authors and Affiliations

  1. Ho Chi Minh City University of Technology, Ho Chi Minh City, Vietnam

    Luu Huu Vinh Quang

Authors
  1. Luu Huu Vinh Quang
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Editor information

Editors and Affiliations

  1. Phenikaa University, Hanoi, Vietnam

    Duc-Tan Tran

  2. Department of Embedded Systems Engineering, Incheon National University, Incheon, Korea (Republic of)

    Gwanggil Jeon

  3. Hanoi University of Industry, Hanoi, Vietnam

    Thi Dieu Linh Nguyen

  4. University of Huddersfield, Huddersfield, UK

    Joan Lu

  5. University of Transport Technology, Hanoi, Vietnam

    Thu-Do Xuan

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© 2021 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Cite this paper

Quang, L.H.V. (2021). Mathematical Modeling the Network’s Non-linearity for Analyzing and Assessing the Small-Signal Stability in Multi-machine Power Systems. In: Tran, DT., Jeon, G., Nguyen, T.D.L., Lu, J., Xuan, TD. (eds) Intelligent Systems and Networks . ICISN 2021. Lecture Notes in Networks and Systems, vol 243. Springer, Singapore. https://doi.org/10.1007/978-981-16-2094-2_15

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