Sensitivity-Indices-Based Risk Assessment of Large-Scale Solar PV Investment Projects

Large-scale solar photovoltaic (PV) generation is now a viable, economically feasible and clean energy supply option. Incentive schemes, such as the Feed-in-Tariff (FIT) in Ontario, have attracted large-scale investments in solar PV generation. In a previous work, the authors presented an investor-oriented planning model for optimum selection of solar PV investment decisions. In this paper, a method for determining the sensitivity indices, based on the application of duality theory on the Karush-Kuhn-Tucker (KKT) optimality conditions, pertaining to the solar PV investment model is presented. The sensitivity of the investors' profit to various parameters, for a case study in Ontario, Canada are presented and discussed and these are found to be very close to those obtained using the Monte Carlo simulation and finite-difference (individual parameter perturbation) based approaches. Furthermore, a novel relationship is proposed between the sensitivity indices and the investor's profit for a given confidence level to evaluate the risk for an investor in solar PV projects.

[1]  A Ellis,et al.  Model Makers , 2011, IEEE Power and Energy Magazine.

[2]  W. Ku,et al.  Economic Evaluation of Photovoltaic Generation Applications in a Large Electric Utility System , 1983, IEEE Transactions on Power Apparatus and Systems.

[3]  Henry C. Thode.  Applied Probability for Engineers and Scientists , 1999, Technometrics.

[4]  Federico Milano,et al.  General sensitivity formulas for maximum loading conditions in power systems , 2007 .

[5]  D. S. Shugar,et al.  Structural evolution of utility systems and its implications for photovoltaic applications , 1991, The Conference Record of the Twenty-Second IEEE Photovoltaic Specialists Conference - 1991.

[6]  K F Katiraei,et al.  Solar PV Integration Challenges , 2011, IEEE Power and Energy Magazine.

[7]  Zuyi Li,et al.  Market Operations in Electric Power Systems : Forecasting, Scheduling, and Risk Management , 2002 .

[8]  Yih-huei Wan,et al.  Dark Shadows , 2011, IEEE Power and Energy Magazine.

[9]  Heather Fry,et al.  A user’s guide , 2003 .

[10]  A. Conejo,et al.  Perturbation Approach to Sensitivity Analysis in Mathematical Programming , 2006 .

[11]  K. M. Riley,et al.  Sensitivity of Optimum Solutions of Problem Parameters , 1982 .

[12]  Saltelli Andrea,et al.  Global Sensitivity Analysis: The Primer , 2008 .

[13]  Antonio J. Conejo,et al.  Decomposition Techniques in Mathematical Programming: Engineering and Science Applications , 2006 .

[14]  D Osborn,et al.  A Wider Horizon , 2011, IEEE Power and Energy Magazine.

[15]  G Brinkman,et al.  Toward a Solar-Powered Grid , 2011, IEEE Power and Energy Magazine.

[16]  Richard E. Rosenthal,et al.  GAMS -- A User's Guide , 2004 .

[17]  A. Conejo,et al.  Locational marginal price sensitivities , 2005, IEEE Transactions on Power Systems.

[18]  K. Bhattacharya,et al.  Large-Scale Solar PV Investment Models, Tools, and Analysis: The Ontario Case , 2011, IEEE Transactions on Power Systems.