(361c) Mathematical Programming Formulations for the Optimal Generation and Transmission of Electricity in a Macroscopic System Using the Concept of Energy Hub

This paper describes three models for the optimal generation, conversion and distribution of electricity in a macroscopic system divided into geographical regions; the resulting model is applied to the national system for the distribution of electricity in Mexico. The mathematical models are based on concept of an Energy Hub (EH). The first model is a linear programming (LP) model which uses multidimensional set theory and represents the operation of the system during one hour. Such a basic model is then extended to a mixed-integer linear multiperiod model (MILP) which is applied to a 24-hour scenario and considers the storage capabilities within the regions. Finally, an MILP multiperiod model is applied to the transmission regions existing in each of the geographical regions. In particular, this model considers the 53 regions of the National Transmission Network (RNT) in Mexico as well as the available storage and the electricity generation facilities owned by the private sector. The main decision variables include the amount of fuel required by each generation plant as well as the power flows at each of existing nodes for the transmission, export, import and storage of electricity.