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Optimal Allocation of Power-Electronic Interfaced Wind Turbines Using a Genetic Algorithm – Monte Carlo Hybrid Optimization Method

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Wind Power Systems

Part of the book series: Green Energy and Technology ((GREEN,volume 0))

Abstract

The increasing amount of wind power integrated to power systems presents a number of challenges to the system operation. One issue related to wind power integration concerns the location and capacities of the wind turbines (WTs) in the network. Although the location of wind turbines is mainly determined by the wind resource and geographic conditions, the location of wind turbines in a power system network may significantly affect the distribution of power flow, power losses, etc. Furthermore, modern WTs with power-electronic interface have the capability of controlling reactive power output, which can enhance the power system security and improve the system steady-state performance by reducing network losses. This chapter presents a hybrid optimization method that minimizes the annual system power losses. The optimization considers a 95%-probability of fulfilling the voltage and current limit requirements. The method combines the Genetic Algorithm (GA), gradient-based constrained nonlinear optimization algorithm and sequential Monte Carlo simulation (MCS). The GA searches for the optimal locations and capacities of WTs. The gradient-based optimization finds the optimal power factor setting of WTs. The sequential MCS takes into account the stochastic behaviour of wind power generation and load. The proposed hybrid optimization method is demonstrated on an 11 kV 69-bus distribution system.

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References

  • Box, G.E.P., Jenkins, G.M., Reinsel, G.C.: Time Series Analysis: Forecasting and Control, 3rd edn. Prentice-Hall, New Jersey (1994)

    MATH  Google Scholar 

  • Celli, G., Ghiani, E., Mocci, S., Pilo, F.: A multiobjective evolutionary algorithm for the sizing and siting of distributed generation. IEEE Trans. Power. Systems 20, 750–757 (2005)

    Article  Google Scholar 

  • Chen, P., Bak-Jensen, B., Chen, Z.: Probabilistic load models for simulating the impact of load management. Accepted to the IEEE PES General Meeting 2009, Calgary, Canada (2009a)

    Google Scholar 

  • Chen, P., Pedersen, T., Bak-Jensen, B., Chen, Z.: ARIMA-based time series model of stochastic wind power generation. Accepted to IEEE Trans. Power Systems, Paper ID TPWRS-00365-2009 (2009b)

    Google Scholar 

  • Chen, P., Siano, P., Bak-Jensen, B., Chen, Z.: Stochastic optimization of wind turbine power factor using stochastic model of wind power generation. Submitted to IEEE Trans. Sustainable Energy, Paper ID TSTE-00012-2009 (2009c)

    Google Scholar 

  • Das, D.: A fuzzy multiobjective approach for network reconfiguration of distribution systems. IEEE Trans. Power Del. 21, 202–209 (2006)

    Article  Google Scholar 

  • El-Khaltam, W., Bhattacharya, K., Hegazy, Y., Salama, M.M.A.: Optimal investment planning for distributed generation in a competitive electricity market. IEEE Trans. Power Systems 19, 1674–1684 (2004)

    Article  Google Scholar 

  • EN 50160, European standard for voltage Characteristics of electricity supplied by public distribution systems. In: European Committee for Electrotechnical Standardization (CENELEC), Brussels, p. 14 (1999)

    Google Scholar 

  • Greatbanks, J.A., Popovic, D.H., Begovic, M., Pregelj, A., Green, T.C.: On optimization for security and reliability of power systems with distributed generation. In: Proc. IEEE Power Tech. Conf. (2003)

    Google Scholar 

  • Harrison, G.P., Piccolo, A., Siano, P., Wallace, A.R.: Distributed Generation Capacity Evaluation Using Combined Genetic Algorithm and OPF. International Journal of Emerging Electric Power Systems 8, 1–13 (2007a)

    Article  Google Scholar 

  • Harrison, G.P., Piccolo, A., Siano, P., Wallace, A.R.: Exploring the Trade-offs Between Incentives for Distributed Generation Developers and DNOs. IEEE Trans. on Power Systems 22, 821–828 (2007b)

    Article  Google Scholar 

  • Harrison, G.P., Piccolo, A., Siano, P., Wallace, A.R.: Hybrid GA and OPF evaluation of network capacity for distributed generation connections. Electrical Power Systems Research 78, 392–398 (2008)

    Article  Google Scholar 

  • Keane, A., O’Malley, M.: Optimal allocation of embedded generation on distribution networks. IEEE Trans. Power Systems 20, 1640–1646 (2005)

    Article  Google Scholar 

  • Keane, A., O’Malley, M.: Optimal utilization of distribution networks for energy harvesting. IEEE Trans. Power Systems 22, 467–475 (2007)

    Article  Google Scholar 

  • Kim, K.H., Lee, Y.J., Rhee, S.B., Lee, S.K., You, S.K.: Dispersed generator placement using fuzzy-GA in distribution systems. In: IEEE PES Summer Meeting, Chicago, USA, pp. 1148–1153 (2002)

    Google Scholar 

  • Leon-Garcia, A.: Probability, Statistics, and Random Process for Electrical Engineering, 3rd edn. Pearson Prentice Hall, New Jersey (2009)

    Google Scholar 

  • Masters, C.L.: Voltage rise: the big issue when connecting embedded generation to long 11 kV overhead lines. Power Eng. J. 16, 5–12 (2002)

    Article  Google Scholar 

  • MathWorks, Genetic Algorithms and Direct Search Toolbox: User Guide (2004)

    Google Scholar 

  • Nara, K., Hayashi, K., Ikeda, K., Ashizawa, T.: Application of tabu search to optimal placement of distributed generators. In: Proceedings of the IEEE PES Winter Meeting 2001, pp. 918–923 (2001)

    Google Scholar 

  • Papaefthymiou, G., Kurowicka, D.: Using copulas for modeling stochastic dependence in power system uncertainty analysis. IEEE Trans. Power Systems 24, 40–49 (2009)

    Article  Google Scholar 

  • Piccolo, A., Siano, P.: Evaluating the Impact of Network Investment Deferral on Distributed Generation Expansion. IEEE Trans. Power Systems 24, 1559–1567 (2009)

    Article  Google Scholar 

  • Rau, N.S., Wan, Y.H.: Optimum location of resources in distributed planning. IEEE Trans. Power Systems 9, 2014–2020 (1994)

    Article  Google Scholar 

  • Ubeda, J.R., Allan, R.N.: Sequential simulation applied to composite system reliability evaluation. IEE Proc. Gen., Trans., Distrib. 139, 81–86 (1992)

    Article  Google Scholar 

  • Vovos, P.N., Harrison, G.P., Wallace, A.R., Bialek, J.W.: Optimal Power Flow as a tool for fault level constrained network capacity analysis. IEEE Trans. Power Systems 20, 734–741 (2005)

    Article  Google Scholar 

  • Wei, W.W.S.: Time Series Analysis: Univariate and Multivariate Methods. Addison-Wesley, Redwood City (1990)

    MATH  Google Scholar 

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Chen, P., Siano, P., Chen, Z., Bak-Jensen, B. (2010). Optimal Allocation of Power-Electronic Interfaced Wind Turbines Using a Genetic Algorithm – Monte Carlo Hybrid Optimization Method. In: Wang, L., Singh, C., Kusiak, A. (eds) Wind Power Systems. Green Energy and Technology, vol 0. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13250-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-13250-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13249-0

  • Online ISBN: 978-3-642-13250-6

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