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
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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
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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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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DOI: https://doi.org/10.1007/978-981-16-2094-2_15
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