Two-stage stochastic programming model for the regional-scale electricity planning under demand uncertainty

Traditional electricity supply planning models regard the electricity demand as a deterministic parameter and require the total power output to satisfy the aggregate electricity demand. But in today's world, the electric system planners are facing tremendously complex environments full of uncertainties, where electricity demand is a key source of uncertainty. In addition, electricity demand patterns are considerably different for different regions. This paper developed a multi-region optimization model based on two-stage stochastic programming framework to incorporate the demand uncertainty. Furthermore, the decision tree method and Monte Carlo simulation approach are integrated into the model to simplify electricity demands in the form of nodes and determine the values and probabilities. The proposed model was successfully applied to a real case study (i.e. Taiwan's electricity sector) to show its applicability. Detail simulation results were presented and compared with those generated by a deterministic model. Finally, the long-term electricity development roadmap at a regional level could be provided on the basis of our simulation results.

[1]  M. Howells,et al.  Electricity supply industry modelling for multiple objectives under demand growth uncertainty , 2007 .

[2]  Boqiang Lin Electricity demand in the People's Republic of China : investment requirement and environmental impact , 2003 .

[3]  Michael C. Georgiadis,et al.  A two-stage stochastic programming model for the optimal design of distributed energy systems , 2013 .

[4]  Tetsuo Tezuka,et al.  Implications of capacity expansion under uncertainty and value of information: The near-term energy planning of Japan , 2007 .

[5]  Efstratios N. Pistikopoulos,et al.  Decomposition Based Stochastic Programming Approach for Polygeneration Energy Systems Design under Uncertainty , 2010 .

[6]  Jung-hua Wu,et al.  A portfolio risk analysis on electricity supply planning , 2008 .

[7]  M. Tajeddini,et al.  Risk averse optimal operation of a virtual power plant using two stage stochastic programming , 2014 .

[8]  Shahram Jadid,et al.  The role of demand response in single and multi-objective wind-thermal generation scheduling: A stochastic programming , 2014 .

[9]  Ali Azadeh,et al.  A stochastic programming approach towards optimization of biofuel supply chain. , 2014 .

[10]  Yadollah Saboohi,et al.  Stochastic modeling of the energy supply system with uncertain fuel price – A case of emerging technologies for distributed power generation , 2012 .

[11]  Li Ko,et al.  Abatement cost analysis in CO2 emission reduction costs regarding the supply-side policies for the Taiwan power sector , 2013 .

[12]  F. Vettraino,et al.  The Projected Costs of Generating Electricity - IEA-NEA Report - 2010 Edition , 2010 .

[13]  P. Bodger,et al.  Forecasting electricity consumption in New Zealand using economic and demographic variables , 2005 .

[14]  L. Ji,et al.  An inexact two-stage stochastic robust programming for residential micro-grid management-based on random demand , 2014 .

[15]  Iain MacGill,et al.  A Monte Carlo based decision-support tool for assessing generation portfolios in future carbon constrained electricity industries , 2012 .

[16]  V. Bianco,et al.  Electricity consumption forecasting in Italy using linear regression models , 2009 .

[17]  Asgeir Tomasgard,et al.  A stochastic model for scheduling energy flexibility in buildings , 2015 .

[18]  David Kendrick,et al.  GAMS, a user's guide , 1988, SGNM.

[19]  Sarah M. Ryan,et al.  Scenario construction and reduction applied to stochastic power generation expansion planning , 2013, Comput. Oper. Res..

[20]  Tai-Ken Lu,et al.  Scenario analysis of the new energy policy for Taiwan's electricity sector until 2025 , 2013 .

[21]  Ye Xu,et al.  Regional-scale electric power system planning under uncertainty—A multistage interval-stochastic integer linear programming approach , 2010 .

[22]  Hsiu-Mei Chiu,et al.  Long-term CO2 emissions reduction target and scenarios of power sector in Taiwan , 2010 .

[23]  Hyojoo Son,et al.  Short-term forecasting of electricity demand for the residential sector using weather and social variables , 2017 .

[24]  Michael C. Georgiadis,et al.  An integrated stochastic multi-regional long-term energy planning model incorporating autonomous power systems and demand response , 2015 .

[25]  Víctor M. Albornoz,et al.  A two‐stage stochastic integer programming model for a thermal power system expansion , 2004 .