This chapter describes the optimisation program developed, referred to asTCOPF, by addressing the maths employed to set-up and calculate both the optimal dispatch of embedded technologies and the optimal power flow in electric and natural gas systems. Thus, allowing the TCOPF to act as a coordinating entity that manages costeffective interactions between embedded technologies and energy service networks.

Chapter Contents:

• 5.1 TCOPF problem outline
• 5.1.1 Problem description
• 5.1.2 Optimisation solver
• 5.1.3 Input data and assumptions of the TCOPF tool
• 5.2 TCOPF objective functions
• 5.2.1 Plug and forget
• 5.2.2 Fuel cost
• 5.2.3 Energy loss
• 5.2.4 Energy cost
• 5.2.5 Composite objectives
• 5.3 Mathematical TCOPF formulation
• 5.3.1 Objective function formulations
• 5.3.1.1 For plug-and-forget scenario
• 5.3.1.2 For fuel cost minimisation
• 5.3.1.3 For energy loss minimisation
• 5.3.1.4 For energy cost minimisation
• 5.3.1.5 For composite objective minimisation (e.g. cost of spot prices vs. cost of emissions)
• 5.3.2 Constraints
• 5.3.2.1 Concerning electrical networks
• 5.3.2.2 Concerning natural gas networks
• 5.3.2.3 Concerning PHEV devices embedded in electrical networks
• 5.3.2.4 Concerning CHP devices embedded in natural gas networks
• 5.3.3 TCOPF problem and solution characteristics

Inspec keywords: optimisation; power generation dispatch

Other keywords: TCOPF; energy service networks; cost effective interactions; optimal dispatch; optimisation program; embedded technologies; time-coordinated optimal power flow

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