# Mathematical Optimization Applied to Thermal and Electrical Energy Systems

Bordin, Chiara (2015) Mathematical Optimization Applied to Thermal and Electrical Energy Systems, [Dissertation thesis], Alma Mater Studiorum Università di Bologna. Dottorato di ricerca in Automatica e ricerca operativa, 27 Ciclo. DOI 10.6092/unibo/amsdottorato/6915.
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## Abstract

This Thesis aims at building and discussing mathematical models applications focused on Energy problems, both on the thermal and electrical side. The objective is to show how mathematical programming techniques developed within Operational Research can give useful answers in the Energy Sector, how they can provide tools to support decision making processes of Companies operating in the Energy production and distribution and how they can be successfully used to make simulations and sensitivity analyses to better understand the state of the art and convenience of a particular technology by comparing it with the available alternatives. The first part discusses the fundamental mathematical background followed by a comprehensive literature review about mathematical modelling in the Energy Sector. The second part presents mathematical models for the District Heating strategic network design and incremental network design. The objective is the selection of an optimal set of new users to be connected to an existing thermal network, maximizing revenues, minimizing infrastructure and operational costs and taking into account the main technical requirements of the real world application. Results on real and randomly generated benchmark networks are discussed with particular attention to instances characterized by big networks dimensions. The third part is devoted to the development of linear programming models for optimal battery operation in off-grid solar power schemes, with consideration of battery degradation. The key contribution of this work is the inclusion of battery degradation costs in the optimisation models. As available data on relating degradation costs to the nature of charge/discharge cycles are limited, we concentrate on investigating the sensitivity of operational patterns to the degradation cost structure. The objective is to investigate the combination of battery costs and performance at which such systems become economic. We also investigate how the system design should change when battery degradation is taken into account.

Abstract
Tipologia del documento
Tesi di dottorato
Autore
Bordin, Chiara
Supervisore
Dottorato di ricerca
Scuola di dottorato
Scienze e ingegneria dell'informazione
Ciclo
27
Coordinatore
Settore disciplinare
Settore concorsuale
Parole chiave
Optimization, Mathematical Modeling, Mixed Integer Linear Programming, Graph Theory, Network Design, Network Flows, Energy Systems, District Heating Systems, Thermal Energy Distribution, Off-Grid Systems, Renewable Energy, Solar Energy, Storage, Battery Degradation
URN:NBN
DOI
10.6092/unibo/amsdottorato/6915
Data di discussione
10 Aprile 2015
URI