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

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.

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

## Altri metadati

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

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