Probabilistic Assessment of Power System Performance Quality
- 1 SEC Chair in Power System Reliability and Security, King Saud University, Riyadh, Saud Arabia
- 2 SEC Chair in Power System Reliability and Security, King Saud University, Riyadh, Saud Arabia
Abstract
In a recently published work by the authors, a novel framework was developed and applied for assessment of reliability and quality performance levels in real-life power systems with practical large-scale sizes. The new assessment methodology is based on three metaphors (dimensions) representing the relationship between available generation capacities and required demand levels. The developed reliability and performance quality indices were deterministic in nature. That is, they represent one operating state (a snapshot of the system conditions) in which the required demand as well as the generation and transmission capacities are known with 100% certainty. In real life, however, load variations occur randomly so as the contingencies which cause some generation and/or transmission capacities to be lost (become unavailable). In other words, neither the load levels nor the generation or transmission capacities are known with absolute certainty. They are rather subject to random variations and, consequently, the calculated reliability and performance quality indices are all subject to random variations where only expected values of these indices can be evaluated. This paper presents a major extension to the previously published work by developing a theory and formulas for computing the expected values of different system reliability and performance quality indices. In this context, a “contingency scenario” or a system “demand level” are regarded, in a more general sense, as a “state”, which occurs with certain probability and represents a given demand value and availability pattern of various capacities in the system. The work of this paper provides a practical and meaningful methodology for real-life assessment of power system reliability and performance quality levels. Practical applications are also presented, for demonstration purposes, to the Saudi electricity power grid.
- H. Jun, Y. Zhao, P. Lindsay and P. Kit, “Flexible Transmission Expansion Planning with Uncertainties in an Electricity Market,” IEEE Transactions on Power Systems, Vol. 24, No. 1, 2009, pp. 479-488. doi:10.1109/TPWRS.2008.2008681
- M. El Kady, M. El Sobki and N. Sinha, “Reliability Evaluation for Optimally Operated Large Electric Power Systems,” IEEE Transactions on Reliability, Vol. R35, No. 1, 1986, pp. 41 47. doi:10.1109/TR.1986.4335340
- M. El Kady, M. El Sobki and N. Sinha, “Loss of Load Probability Evaluation Based on Real Time Emergency Dispatch,” Canadian Electrical Engineering Journal, Vol. 10, 1985, pp. 57 61.
- M. A. El-Kady and B. M. Alshammary, “A Practical Framework for Reliability and Quality Assessment of Power Systems,” Journal of Energy and Power Engineering (EPE), Vol. 3, No. 4, 2011, pp. 499-507. doi:10.4236/epe.2011.34060
- P. Jirutitijaroen and C. Singh, “Reliability Constrained Multi-Area Adequacy Planning Using Stochastic Programming With Sample-Average Approximations,” IEEE Transactions on Power Systems, Vol. 23, No. 2, 2008, pp. 405-513. doi:10.1109/TPWRS.2008.919422
- R. Billinton and D. Huang, “Effects of Load Forecast Uncertainty on Bulk Electric System Reliability Evaluation,” IEEE Transactions on Power Systems, Vol. 23, No. 2, 2008, pp. 418-425. doi:10.1109/TPWRS.2008.920078
- M. El-Kady, B. Alaskar, A. Shaalan and B. Al-Shammri, “Composite Reliability and Quality Assessment of Interconnected Power Systems,” International Journal for Computation and Mathematic in Electrical and Electronic Engineering (COMPEL), Vol. 26, No. 1, 2007.
- P. Gill, W. Murray and M. Wright, “Practical Optimization,” Academic Press, Waltham, 1981.