Optimal Wind Power Location on Transmission Systems - A Probabilistic Load Flow Approach

Renewable energy grid connection is hampered by transmission capacity limitations and public opposition to new transmission development. This paper presents a methodology to find the optimal positions on an existing transmission system network to connect 'firm' wind capacity to reach desired renewable energy penetration targets in a secure, least-cost manner. The methodology accounts for geographical statistical dependencies of individual bus load and wind farm power outputs, as well as the temporal dependencies of the conventional plant unit-commitment process on total system load and wind patterns. This is accomplished using a probabilistic load flow technique based on DC load-flow and recorded load and wind time series. A discretised model of the resultant multi-variate probability density function is used to define line flow constraints in a linear programming optimization model. The algorithm objectively allocates wind capacity with respect to the wind resource and transmission capacity in each area.

[1]  R.N. Allan,et al.  Probabilistic Load Flow Considering Dependence Between Input Nodal Powers , 1984, IEEE Transactions on Power Apparatus and Systems.

[2]  J.F. Dopazo,et al.  Stochastic load flows , 1975, IEEE Transactions on Power Apparatus and Systems.

[3]  M. O'Malley,et al.  Establishing the role that wind generation may have in future generation portfolios , 2006, IEEE Transactions on Power Systems.

[4]  A. Mullane,et al.  Frequency control and wind turbine technologies , 2005, IEEE Transactions on Power Systems.

[5]  G. Papaefthymiou,et al.  Probabilistic power flow methodology for the modeling of horizontally-operated power systems , 2005, 2005 International Conference on Future Power Systems.

[6]  R. Billinton,et al.  Reliability-Based Transmission Reinforcement Planning Associated With Large-Scale Wind Farms , 2007, IEEE Transactions on Power Systems.

[7]  Barbara Borkowska,et al.  Probabilistic Load Flow , 1974 .

[8]  A. Keane,et al.  Optimal allocation of embedded generation on distribution networks , 2005, IEEE Transactions on Power Systems.

[9]  Allen J. Wood,et al.  Power Generation, Operation, and Control , 1984 .

[10]  Philip G. Hill,et al.  Power generation , 1927, Journal of the A.I.E.E..

[11]  S.T. Lee,et al.  Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion , 2004, IEEE Transactions on Power Systems.