A novel data-driven scenario generation framework for transmission expansion planning with high renewable energy penetration

Transmission expansion planning (TEP) is facing unprecedented challenges with the rise of integrated renewable energy resources (RES), flexible load elements, and the potential electrification of transport and heat sectors. Under this reality, the inadequate information of the stochastic parameters’ behavior may lead to inefficient expansion decisions, especially in the context of very high renewable penetration. This paper proposes a novel data-driven scenario generation framework for the TEP problem to generate unseen but important load and wind power scenarios while capturing inter-spatial dependencies between loads and wind generation units’ output in various locations, using a vine-copula based high-dimensional stochastic variable modeling approach. The superior performance of the proposed model is demonstrated through a case study on a modified IEEE 118-bus system. The expected result of using the expected value problem solution (EEV) and the net benefits of transmission expansion (NBTE) are used as the evaluation metrics to quantitatively illustrate the advantages of the proposed approach. In addition, the case of very high wind penetration is carried out to further highlight the importance of the multivariate stochastic dependence of load and wind power generation. The results demonstrate that the proposed scenario generation method can result in near-optimal investment decisions for the TEP problem that make more net benefits than using limited number of historical data.

[1]  Goran Strbac,et al.  An objective-based scenario selection method for transmission network expansion planning with multivariate stochasticity in load and renewable energy sources , 2018 .

[2]  Anthony Papavasiliou,et al.  Multiarea Stochastic Unit Commitment for High Wind Penetration in a Transmission Constrained Network , 2013, Oper. Res..

[3]  Saeed Lotfifard,et al.  Spatiotemporal modeling of wind generation for optimal energy storage sizing , 2015, 2015 IEEE Power & Energy Society General Meeting.

[4]  Guzmán Díaz,et al.  Wind power scenario generation through state-space specifications for uncertainty analysis of wind power plants , 2016 .

[5]  Claudia Czado,et al.  A D‐vine copula‐based model for repeated measurements extending linear mixed models with homogeneous correlation structure , 2017, Biometrics.

[6]  Antonio J. Conejo,et al.  Correlated wind-power production and electric load scenarios for investment decisions , 2013 .

[7]  Rui Shi,et al.  An Efficient Approach to Power System Uncertainty Analysis With High-Dimensional Dependencies , 2018, IEEE Transactions on Power Systems.

[8]  Antonio J. Conejo,et al.  Adaptive Robust Transmission Expansion Planning Using Linear Decision Rules , 2017, IEEE Transactions on Power Systems.

[9]  Ning Zhang,et al.  Data-Driven Probabilistic Net Load Forecasting With High Penetration of Behind-the-Meter PV , 2018, IEEE Transactions on Power Systems.

[10]  Marko Aunedi,et al.  Benefits of flexibility from smart electrified transportation and heating in the future UK electricity system , 2016 .

[11]  Markus Junker,et al.  Estimating the tail-dependence coefficient: Properties and pitfalls , 2005 .

[12]  Goran Strbac,et al.  C-Vine Copula Mixture Model for Clustering of Residential Electrical Load Pattern Data , 2017, IEEE Transactions on Power Systems.

[13]  Raik Becker,et al.  Generation of Time-Coupled Wind Power Infeed Scenarios Using Pair-Copula Construction , 2018, IEEE Transactions on Sustainable Energy.

[14]  L. L. Garver,et al.  Transmission Network Estimation Using Linear Programming , 1970 .

[15]  John M. Lee Introduction to Topological Manifolds , 2000 .

[16]  Amir Abdollahi,et al.  Probabilistic Multiobjective Transmission Expansion Planning Incorporating Demand Response Resources and Large-Scale Distant Wind Farms , 2017, IEEE Systems Journal.

[17]  Raquel García-Bertrand,et al.  Dynamic Robust Transmission Expansion Planning , 2015, IEEE Transactions on Power Systems.

[18]  Tatiana Filatova,et al.  Trade-offs between electrification and climate change mitigation: An analysis of the Java-Bali power system in Indonesia , 2017 .

[19]  Goran Strbac,et al.  Probabilistic Peak Load Estimation in Smart Cities Using Smart Meter Data , 2019, IEEE Transactions on Industrial Electronics.

[20]  Goran Strbac,et al.  Evaluating composite approaches to modelling high-dimensional stochastic variables in power systems , 2016, 2016 Power Systems Computation Conference (PSCC).

[21]  Duehee Lee,et al.  Load and Wind Power Scenario Generation Through the Generalized Dynamic Factor Model , 2017, IEEE Transactions on Power Systems.

[22]  Jong-Min Kim,et al.  Mixture of D-vine copulas for modeling dependence , 2013, Comput. Stat. Data Anal..

[23]  Goran Strbac,et al.  Transmission network expansion planning with stochastic multivariate load and wind modeling , 2016, 2016 International Conference on Probabilistic Methods Applied to Power Systems (PMAPS).

[24]  T. Bedford,et al.  Vines: A new graphical model for dependent random variables , 2002 .

[25]  Qixin Chen,et al.  Analysis of transmission expansion planning considering consumption-based carbon emission accounting , 2017 .

[26]  David P. Morton,et al.  Monte Carlo bounding techniques for determining solution quality in stochastic programs , 1999, Oper. Res. Lett..

[27]  R. Baldick,et al.  Transmission Planning Under Uncertainties of Wind and Load: Sequential Approximation Approach , 2013, IEEE Transactions on Power Systems.

[28]  Lior Rokach,et al.  Clustering Methods , 2005, The Data Mining and Knowledge Discovery Handbook.

[29]  A. D. Gordon A Review of Hierarchical Classification , 1987 .

[30]  Bikash Pal,et al.  Statistical Representation of Distribution System Loads Using Gaussian Mixture Model , 2010, IEEE Transactions on Power Systems.

[31]  Taher Niknam,et al.  Bundled Generation and Transmission Planning Under Demand and Wind Generation Uncertainty Based on a Combination of Robust and Stochastic Optimization , 2018, IEEE Transactions on Sustainable Energy.

[32]  J.H. Zhang,et al.  A Chance Constrained Transmission Network Expansion Planning Method With Consideration of Load and Wind Farm Uncertainties , 2009, IEEE Transactions on Power Systems.

[33]  A. Frigessi,et al.  Pair-copula constructions of multiple dependence , 2009 .

[34]  Feng Liu,et al.  A Conditional Model of Wind Power Forecast Errors and Its Application in Scenario Generation , 2017, 1708.06759.

[35]  Chongqing Kang,et al.  Reducing curtailment of wind electricity in China by employing electric boilers for heat and pumped hydro for energy storage , 2016 .

[36]  John R. Birge,et al.  The value of the stochastic solution in stochastic linear programs with fixed recourse , 1982, Math. Program..

[37]  G. Papaefthymiou,et al.  Using Copulas for Modeling Stochastic Dependence in Power System Uncertainty Analysis , 2009, IEEE Transactions on Power Systems.

[38]  C. Czado,et al.  Truncated regular vines in high dimensions with application to financial data , 2012 .

[39]  C. Singh,et al.  Copula Based Dependent Discrete Convolution for Power System Uncertainty Analysis , 2016, IEEE Transactions on Power Systems.

[40]  Lior Rokach,et al.  Data Mining And Knowledge Discovery Handbook , 2005 .

[41]  Nima Amjady,et al.  Robust Transmission and Energy Storage Expansion Planning in Wind Farm-Integrated Power Systems Considering Transmission Switching , 2016, IEEE Transactions on Sustainable Energy.

[42]  Ross Baldick,et al.  A Stochastic Transmission Planning Model With Dependent Load and Wind Forecasts , 2015, IEEE Transactions on Power Systems.