Characterization of input uncertainties in strategic energy planning models

Various countries and communities are defining strategic energy plans driven by concerns for climate change and security of energy supply. Energy models can support this decision-making process. The long-term planning horizon requires uncertainty to be accounted for. To do this, the uncertainty of input parameters needs to be quantified. Classical approaches are based on the calculation of probability distributions for the inputs. In the context of strategic energy planning, this is often limited by the scarce quantity and quality of available data. To overcome this limitation, we propose an application-driven method for uncertainty characterization, allowing the definition of ranges of variation for the uncertain parameters. To obtain a proof of concept, the method is applied to a representative mixed-integer linear programming national energy planning model in the context of a global sensitivity analysis (GSA) study. To deal with the large number of inputs, parameters are organized into different categories and uncertainty is characterized for one representative parameter per category. The obtained ranges serve as input to the GSA, which is performed in two stages to deal with the large problem size. The application of the method generates uncertainty ranges for typical parameters in energy planning models. Uncertainty ranges vary significantly for different parameters, from [-2%,2%] for electricity grid losses to [-47.3%,89.9%] for the price of imported resources. The GSA results indicate that only few parameters are influential, that economic parameters (interest rates and price of imported resources) have the highest impact, and that it is crucial to avoid an arbitrary a priori exclusion of parameters from the analysis. Finally, we demonstrate that the obtained uncertainty characterization is relevant by comparing it with the assumption of equal levels of uncertainty for all input parameters, which results in a fundamentally different parameter ranking.

[1]  Isabella Ruble,et al.  An economic assessment of four different boilers for residential heating in Lebanon , 2012 .

[2]  Ira Sohn,et al.  Long-term energy projections: What lessons have we learned? , 2007 .

[3]  C. Fischer,et al.  Understanding Errors in EIA Projections of Energy Demand , 2008 .

[4]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[5]  Rainer Zah,et al.  Bioenergy in Switzerland: Assessing the domestic sustainable biomass potential , 2010 .

[6]  Zubi Ghassan,et al.  Study on the state of play of energy efficiency of heat and electricity production technologies , 2012 .

[7]  James J. Winebrake,et al.  An evaluation of errors in US energy forecasts: 1982–2003 , 2006 .

[8]  Sonia Yeh,et al.  Formalizing best practice for energy system optimization modelling , 2017 .

[9]  Ignacio E. Grossmann,et al.  Recent Advances in Mathematical Programming Techniques for the Optimization of Process Systems under Uncertainty , 2015 .

[10]  Stefan Hirschberg,et al.  Energy from the earth: Deep geothermal as a resource for the future? , 2015 .

[11]  Paola Annoni,et al.  Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index , 2010, Comput. Phys. Commun..

[12]  B. O’Neill,et al.  Accuracy of past projections of US energy consumption , 2005 .

[13]  Gürkan Sin,et al.  Uncertainty analysis in WWTP model applications: a critical discussion using an example from design. , 2009, Water research.

[14]  Mark Jennings,et al.  A review of urban energy system models: Approaches, challenges and opportunities , 2012 .

[15]  Stefano Moret,et al.  Swiss-EnergyScope.ch: a Platform to Widely Spread Energy Literacy and Aid Decision-Making , 2014 .

[16]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .

[17]  Stefano Moret,et al.  Strategic energy planning for large-scale energy systems: A modelling framework to aid decision-making , 2015 .

[18]  Jonathan G. Koomey,et al.  WHAT CAN HISTORY TEACH US? A Retrospective Examination of Long-Term Energy Forecasts for the United States* , 2002 .

[19]  Hans Linderoth,et al.  Forecast errors in IEA-countries’ energy consumption , 2002 .

[20]  Michel Bierlaire,et al.  Strategic Energy Planning under Uncertainty: a Mixed-Integer Linear Programming Modeling Framework for Large-Scale Energy Systems , 2016 .

[21]  Krist V. Gernaey,et al.  Improving the Morris method for sensitivity analysis by scaling the elementary effects , 2009 .

[22]  James S. Hodges,et al.  Is It You or Your Model Talking?: A Framework for Model Validation , 1992 .

[23]  Leslie G. Fishbone,et al.  Markal, a linear‐programming model for energy systems analysis: Technical description of the bnl version , 1981 .

[24]  Efstratios N. Pistikopoulos,et al.  A spatial multi-period long-term energy planning model: A case study of the Greek power system , 2014 .

[25]  Socrates Kypreos,et al.  Assessing wood-based synthetic natural gas technologies using the SWISS-MARKAL model , 2007 .

[26]  Mitchell J. Small,et al.  Best Practice Approaches for Characterizing, Communicating, and Incorporating Scientific Uncertainty in Decision Making , 2009 .

[27]  N. Strachan,et al.  Critical mid-term uncertainties in long-term decarbonisation pathways , 2012 .

[28]  Oliver Kröcher SCCER BIOSWEET - The Swiss Competence Center for Energy Research on Bioenergy. , 2015, Chimia.

[29]  Alexander Q. Gilbert,et al.  Risk, innovation, electricity infrastructure and construction cost overruns: Testing six hypotheses , 2014 .

[30]  F. Frutig,et al.  Energieholzpotenziale im Schweizer Wald und ihre Bereitstellungskosten , 2009 .

[31]  François Maréchal,et al.  Decision support for ranking Pareto optimal process designs under uncertain market conditions , 2015, Comput. Chem. Eng..

[32]  Stefano Tarantola,et al.  Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models , 2004 .

[33]  Ryan Wiser,et al.  An overview of alternative fossil fuel price and carbon regulation scenarios , 2004 .

[34]  J. Koomey,et al.  Improving Long-Range Energy Modeling: A Plea for Historical Retrospectives , 2003 .

[35]  A. Kiureghian,et al.  Aleatory or epistemic? Does it matter? , 2009 .

[36]  A. Lamont Assessing the Long-Term System Value of Intermittent Electric Generation Technologies , 2008 .

[37]  Guohe Huang,et al.  A Review on Optimization Modeling of Energy Systems Planning and GHG Emission Mitigation under Uncertainty , 2011 .

[38]  B. McArthur,et al.  Baseline surface radiation network (BSRN/WCRP) New precision radiometry for climate research , 1998 .

[39]  C. Marnay,et al.  Addressing an Uncertain Future Using Scenario Analysis , 2008 .

[40]  Yi-Ming Wei,et al.  Why did the historical energy forecasting succeed or fail? A case study on IEA's projection , 2016 .

[41]  Roland De Guio,et al.  Modelling and uncertainties in integrated energy planning , 2015 .

[42]  Satyen K. Deb,et al.  Dye-sensitized TiO2 thin-film solar cell research at the National Renewable Energy Laboratory (NREL) , 2005 .

[43]  Ignacio E. Grossmann,et al.  A stochastic programming approach to planning of offshore gas field developments under uncertainty in reserves , 2004, Comput. Chem. Eng..

[44]  Jefferson W. Tester,et al.  Uncertainty analysis of geothermal well drilling and completion costs , 2016 .

[45]  Neil Strachan,et al.  An integrated systematic analysis of uncertainties in UK energy transition pathways , 2015 .

[46]  Charles Goodhart,et al.  Interest Rate Forecasts: A Pathology , 2008 .

[47]  Max D. Morris,et al.  Factorial sampling plans for preliminary computational experiments , 1991 .

[48]  Peter Chan,et al.  Life-cycle cost analysis of energy efficiency design options for residential furnaces and boilers , 2004 .

[49]  Warren B. Powell,et al.  SMART: A Stochastic Multiscale Model for the Analysis of Energy Resources, Technology, and Policy , 2012, INFORMS J. Comput..

[50]  Roger H. Bezdek,et al.  A Half Century of Long-Range Energy Forecasts: Errors Made, Lessons Learned, and Implications for Forecasting , 2002 .

[51]  Christos T. Maravelias,et al.  An optimization-based assessment framework for biomass-to-fuel conversion strategies , 2013 .

[52]  Enrico Carpaneto,et al.  Cogeneration Planning under Uncertainty. Part I: Multiple Time Frame Formulation , 2011 .

[53]  A. Saltelli,et al.  Tackling quantitatively large dimensionality problems , 1999 .

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

[55]  Fredrik Haglind,et al.  A methodology for designing flexible multi-generation systems , 2016 .

[56]  Shuangzhe Liu,et al.  Global Sensitivity Analysis: The Primer by Andrea Saltelli, Marco Ratto, Terry Andres, Francesca Campolongo, Jessica Cariboni, Debora Gatelli, Michaela Saisana, Stefano Tarantola , 2008 .