Mathematical description

In this Section the mathematical description of a model generated by urbs will be explained. The structure here follows the basic code structure and proceeds as follows:

First, a short introduction into the type of optimization problem solvable with urbs is given. This is followed by the description of the minimal possible model in urbs. As a next step the two main expansions of models, which also increase the index depth of all variables and parameters are discussed in the parts ‘Intertemporal modeling’ and ‘Multinode modeling’. The description is then concluded by the additional description of various feature modules. The latter are discussed in full index depth, i.e., with all features introduced in minimal, intertemporal and multinode modeling.

• Structure of an urbs model
  • Energy system entities
• Minimal optimization model
  • Objective
  • Costs
  • Process expansion constraints
  • Commodity dispatch constraints
  • Process dispatch constraints
• Intertemporal optimization model
  • Costs
  • Unit expansion constraints
  • Commodity dispatch constraints
• Multinode optimization model
  • Transmission capacity constraints
  • Commodity dispatch constraints
  • Transmission dispatch constraints
• Energy Storage
  • Costs
  • Storage expansion constraints
  • Commodity dispatch constraints
  • Storage dispatch constraints
• Trading with an external market
  • Costs
  • Commodity dispatch constraints
• Demand side management
  • Example of a DSM process
  • Commodity dispatch constraints
• Time Variable efficieny