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Appendix C: Mathematical formulations for the optimisation problem

Appendix C: Mathematical formulations for the optimisation problem

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The optimisation problem for the power plant usage and selection planning procedure must be mathematically characterised in such a way that it can be solved using the defined optimisation method. This Appendix (a) provides a rough overview of the optimisation problem formulations that were used to elaborate the various scenarios, and (b) describes the key principles that were applied to modelling of the linear optimisation problem.

Chapter Contents:

  • C.1 Linear equations and inequations for the optimisation problem
  • C.1.1 Target function
  • C.1.2 General investment costs
  • C.1.3 Load coverage conditions
  • C.1.4 Equations for wether dependent generation technologies without storage capacity
  • C.1.5 Equations for determining upper- and lower-generation thresholds
  • C.1.6 Operating cost calculation equations
  • C.1.7 Pump storage system equations
  • C.1.8 Hydropower plant equations
  • C.1.9 Geothermal power plant equations
  • C.1.10 Biomass and heat generation equations
  • C.1.11 Solar thermal power plant equations
  • C.1.12 Equations for power plants that are not wether dependent
  • C.1.13 Equations for transport via high-voltage direct electricity transmission systems
  • C.1.14 Load management equations

Inspec keywords: optimisation; power system planning

Other keywords: mathematical formulations; cost-optimized variations; electricity supply; optimisation problem

Subjects: Optimisation techniques; Power system management, operation and economics

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