Research on the Method of Calculating Node Injected Reactive Power Based on L Indicator


With the power grid load increasing, the problem of grid voltage stability is increasingly prominent, and the possibility of voltage instability is also growing. In order to improve the voltage stability, this paper analyzed how the voltage stability was influenced by different reactive power injection based on the simplified L-indicator of on-line voltage stability monitoring. According to the
basic differential property of the simplified L-indicator, a general and normative analytical algorithm about reactive power optimization was deduced. The analytical algorithm can calculate the load node injected reactive power, and then the network can run in the optimal steady state on the basis of the calculation results. According to the simulation results of IEEE-14, IEEE-30, IEEE-57 and IEEE-118, the feasibility and effectiveness of the proposed algorithm to improve voltage stability and reduce the risk of grid collapse were verified.

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Gong, X. , Zhang, B. , Kong, B. , Zhang, A. , Li, H. and Fang, W. (2014) Research on the Method of Calculating Node Injected Reactive Power Based on L Indicator. Journal of Power and Energy Engineering, 2, 361-367. doi: 10.4236/jpee.2014.24048.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] IEEE Committee Report (1990) Voltage Stability of Power Systems. Concepts, Analytical Tools, and Industry Experience, IEEE Publication, New York.
[2] IEEE/CIGRE Joint Task Force on Stability Terms and Definition (2004) Definition and Classification of Power System Stability. IEEE Transactions on Power System, 19, 1387-1401.
[3] Zhou, S.X., Zhu, L.Z., Guo X.J., et al. (2004) Power System Voltage Stability Research and Control. China Electric Power Press, Beijing.
[4] Li, X.Y. and Wang, X.Y. (2003) Fast Voltage Stability Analysis Method Based on Static Equivalence and Singular Value Resolution. Proceedings of the CSEE, 23, 1-4.
[5] Jia, H.J., Yu, Y.X. and Wang, C.S. (1999) An Application of Local Indicator to Online Monitoring and Control of Power System Voltage Stability. Power System Technology, 23, 45-49.
[6] Yu, Y.X. (1999) Review on Voltage Stability Studies. Automation of Electric Power System, 23, 1-8.
[7] Zhang, J.H., Meng, X.P., Liu, H.D., et al. (2011) Analysis and Research of the Power System Voltage Stability. Power Quality Management.
[8] Liu, Y.Q., Chen, C.Y., Liang, L., et al. (2003) Review of Dynamical Analysis Art of Voltage Stability in Power Systems. Proceedings of Csu-Epsa, 15, 105-108.
[9] Duan, X.Z., He, Y.Z. and Chen, D.S. (1994) Some Practical Criteria and Security Indices for Voltages Stability in Electric Power System. Automation of Electric Power System, 18, 36-41.
[10] Kessel, P. and Glavitsch, H. (Swiss Federal Institute of Technology Zurich, Switzerland) (1986) Estimating the Voltage Stability of a Power System. IEEE Transactions on Power Delivery.
[11] Jia, H.J., Sun, X.Y. and Zhang, P. (2006) Optimal Power Flow with Voltage Stability Constraint Based on L Index. Proceedings of Csu-Epsa.
[12] Jiang, T., Li, G.Q., Jia, H.J., et al. (2012) An Application of Simplified L-Index and Its Sensitivity for On-line Monitoring and Control of Voltage Stability in the Large Scale Power Systems. Automation of Electric Power System, 36, 1-7.
[13] Wu, W.C. and Zhang, B.M. (2004) Optimal Matching Injected Flow for Optimal Sizing of Capacitor. Proceedings of the CSEE, 24, 36-39.

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