Behavior of Power System Equilibrium Points in Dynamic Available Transfer Capability Calculation
DOI:
https://doi.org/10.33736/jaspe.673.2018Keywords:
Available transfer capability (ATC), electric power system, equilibrium point, optimizationAbstract
Available Transfer Capability (ATC) is of fundamental importance in electric power system planning and operation. The calculation of firm ATC in a power market environment is carried out based on day-ahead market dispatch with a set of security constraints. Incorporating dynamic security constraints into the ATC calculation not only renders a heavier burden on the computational approach, but also manifests complex system behavior in the neighborhood of its equilibrium points. This paper specifically highlights exotic system characteristics encountered during dynamic ATC calculation. The problem of ATC calculation is modeled as a nonlinear mathematical programming problem to maximize the power transfer subject to system technical and operating constraints. The dynamic ATC constraints are represented via the quadratic approximation of the stable manifold of the controlling unstable equilibrium point (UEP). A case study on the IEEE WECC 3- machine, 9-bus power system is presented and analyzed.
References
Wei, Z., Chen, S., Sun, G., Wang, D., Sun, Y. and Zang, H. (2016). Probabilistic Available Transfer Capability Calculation Considering Static Security Constraints and Uncertainties of Electricity-Gas Integrated Energy Systems. Applied Energy, Vol. 167, 305-316.
https://doi.org/10.1016/j.apenergy.2015.10.015
Mushfiq-Ur-Rahman, K., Saiduzzaman, M., Mahmood, M. N. and Khan, M. R. (2013). Calculation of Available Transfer Capability (ATC) of Bangladesh Power System Network. IEEE Innovative Smart Grid Technologies-Asia (ISGT-Asia), Bangalore, India, 1-5.
https://doi.org/10.1109/ISGT-Asia.2013.6698716
Transmission Transfer Capability Task Force (1996). Available Transfer Capability Definitions and Determination, North American Electric Reliability Council (NERC), Princeton, NJ, USA.
Price, J. E. (2011). Management of Available Transfer Capability with Growth in Renewable Resources. IEEE Power and Energy Society General Meeting. Detroit, MI, USA, 1-8.
https://doi.org/10.1109/PES.2011.6039481
ISO New York. Http://mis.nyiso.com/public/P-8list.htm. [Last Access]: 03/03/2018.
Ejebe, G. C., Waight, J. G., Santos-Nieto, M. and Tinney, W. F. (2000). Fast Calculation of Linear Available Transfer Capability. IEEE Transactions on Power Systems. Vol. 15, No. 3, 1112-1116.
https://doi.org/10.1109/59.871741
Khosravifard, M. and Shaaban, M. (2015). Risk-Based Available Transfer Capability Assessment Including Nondispatchable Wind Generation. International Transactions on Electrical Energy Systems. Vol. 25, No. 11, 3169-3183.
https://doi.org/10.1002/etep.2036
Pandey, S. N., Pandey, N. K., Tapaswi, S. and Srivastava, L. (2010). Neural Network-Based Approach for ATC Estimation Using Distributed Computing. IEEE Transactions on Power Systems. Vol. 25, No. 3, 1291-1300.
https://doi.org/10.1109/TPWRS.2010.2042978
Shaaban, M., Li, W., Liu, H., Yan, Z., Ni, Y. and Wu, F. (2003). ATC Calculation with Steady-State Security Constraints Using Benders Decomposition. IEE Proceedings- Generation, Transmission and Distribution. Vol. 150, No. 5, 611-615.
https://doi.org/10.1049/ip-gtd:20030798
Shaaban, M., Li, W., Yan, Z., Ni, Y. X. and Wu, F. F. (2003). Calculation of Total Transfer Capability Incorporating the Effect of Reactive Power. Electric Power Systems Research. Vol. 64, No. 3, 181-188.
https://doi.org/10.1016/S0378-7796(02)00189-X
Jain, T., Singh, S. N. and Srivastava, S. C. (2008). Dynamic Available Transfer Capability Computation Using a Hybrid Approach. IET Generation, Transmission & Distribution. Vol. 2, No. 6, 775-788.
https://doi.org/10.1049/iet-gtd:20070497
Anderson, P. M. and Fouad, A. A. (2008). Power System Control and Stability, 2nd ed., Wiley India PVT Limited.
Chiang, H. D., Wu, F. F. and Varaiya, P. P. (1994). A BCU Method for Direct Analysis of Power System Transient Stability. IEEE Transactions on Power Systems. Vol. 9, No. 3, 1194-1208.
https://doi.org/10.1109/59.336079
Alberto, L. F. C. and Chiang, H. D. (2012). Characterization of Stability Region for General Autonomous Nonlinear Dynamical Systems. IEEE Transactions on Automatic Control. Vol. 57, No. 6, 1564-1569.
https://doi.org/10.1109/TAC.2011.2175057
Saha, S., Fouad, A. A., Kliemann, W. H. and Vittal, V. (1997). Stability Boundary Approximation of a Power System Using the Real Normal Form of Vector Fields. IEEE Transactions on Power Systems. Vol. 12, No. 2, 797-802.
https://doi.org/10.1109/59.589689
Venkatasubramanian, V. and Ji, W. (1997). Numerical Approximation of (n−1)-Dimensional Stable Manifolds in Large Systems such as the Power System. Automatica. Vol. 33, No. 10, 1877-1883.
https://doi.org/10.1016/S0005-1098(97)00094-0
Berggren, B. and Andersson, G. (1993). On the Nature of Unstable Equilibrium Points in Power Systems. IEEE Transactions on Power Systems. Vol. 8, No. 2, 738-745.
https://doi.org/10.1109/59.260806
Dobson, I. (1992). Observation on the Geometry of Saddle Node Bifurcation and Voltage Collapse in Electrical Power Systems. IEEE Transactions on Circuits and SystemsI: Fundamental Theory and Applications. Vol. 39, No. 3, 240-243.
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