Optimal Timing of Wind Farm Repowering: A Two-Factor Real Options Analysis

For more than twenty years now, wind power has been one of the main renewable energy sources. Whereas offshore wind utilization still has a high risk profile, the repowering of wind converters offers an interesting alternative to further increase the use of renewable energy. This paper studies the economics and optimal timing of repowering. We use a two-factor real options modeling framework that builds upon McDonald and Siegel’s 1986 approach. It allows consideration of the investment costs as well as revenues, both following a continuous time, stochastic process. In the next step, a Monte Carlo simulation is done to determine the probability of success of repowering for each year. Finally, we discuss the results of increasing repowering activities and highlight the efforts necessary to achieve this. The model is applied to the case of repowering a 4 x 450 kW wind farm in Denmark to one with 3 x 2 MW. We find that until now the high uncertainty in Denmark in terms of revenues has hindered further development of repowering and lowered the probability of success significantly, while the selling price of the used turbines has had only a minor effect on the optimal timing of repowering. Therefore, wind developers should argue for a larger stake of secured parts in revenues, achievable via higher government-guaranteed incentives.

[1]  Bernt Øksendal,et al.  Optimal time to invest when the price processes are geometric Brownian motions , 1998, Finance Stochastics.

[2]  George A. Akerlof,et al.  The Market for “Lemons”: Quality Uncertainty and the Market Mechanism , 1970 .

[3]  A. Lo,et al.  Implementing Option Pricing Models When Asset Returns are Predictable , 1994 .

[4]  W. Sharpe CAPITAL ASSET PRICES: A THEORY OF MARKET EQUILIBRIUM UNDER CONDITIONS OF RISK* , 1964 .

[5]  Camilla D. Pedersen,et al.  EU Renewable Energy Policy , 2005 .

[6]  I. Simonsen Measuring anti-correlations in the nordic electricity spot market by wavelets , 2001, cond-mat/0108033.

[7]  I. Dobbs,et al.  Replacement Investment: Optimal Economic Life Under Uncertainty , 2004 .

[8]  S. Ross,et al.  Option pricing: A simplified approach☆ , 1979 .

[9]  Mohit Goyal,et al.  Repowering—Next big thing in India , 2010 .

[10]  E. Peterson Wind Power , 1974, Science.

[11]  R. Pindyck The Long-Run Evolution of Energy Prices , 1999 .

[12]  Pauli Murto,et al.  Timing of investment under technological and revenue-related uncertainties , 2007 .

[13]  Reinhard Madlener,et al.  Optimal technology choice and investment timing: A stochastic model of industrial cogeneration vs. heat-only production , 2007 .

[14]  A. Dixit Entry and Exit Decisions under Uncertainty , 1989, Journal of Political Economy.

[15]  Reinhard Madlener,et al.  Repowering of Wind Turbines: Economics and Optimal Timing , 2012 .

[16]  Paolo Agnolucci,et al.  Wind electricity in Denmark: a survey of policies, their effectiveness and factors motivating their introduction , 2007 .

[17]  Reinhard Madlener,et al.  Valuation of CCS-ready coal-fired power plants: a multi-dimensional real options approach , 2010 .

[18]  Reinhard Madlener,et al.  Bridging the Gap between Onshore and Offshore Innovations by the European Wind Power Supply Industry: A Survey-Based Analysis , 2012 .

[19]  M. Schumacher,et al.  Ökonomische Bewertung des Repowering von Onshore-Windenergieanlagen in Deutschland , 2011 .

[20]  E. Prescott,et al.  Investment Under Uncertainty , 1971 .

[21]  João Zambujal-Oliveira,et al.  Operational asset replacement strategy: A real options approach , 2011, Eur. J. Oper. Res..

[22]  J. Lintner THE VALUATION OF RISK ASSETS AND THE SELECTION OF RISKY INVESTMENTS IN STOCK PORTFOLIOS AND CAPITAL BUDGETS , 1965 .

[23]  K. Sperling,et al.  Evaluation of wind power planning in Denmark – Towards an integrated perspective , 2010 .

[24]  R. McDonald,et al.  The Value of Waiting to Invest , 1982 .

[25]  Jesper Munksgaard,et al.  Wind power in the Danish liberalised power market—Policy measures, price impact and investor incentives , 2008 .

[26]  Niels I. Meyer,et al.  Renewable energy policy in Denmark , 2004 .

[27]  Allen M. Weiss,et al.  Investment in technological innovations: An option pricing approach , 1997 .

[28]  L. Trigeorgis The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options , 1993, Journal of Financial and Quantitative Analysis.

[29]  Pablo del Río,et al.  Policies and design elements for the repowering of wind farms: A qualitative analysis of different options , 2011 .