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Robust Optimization in Electric Energy Systems

Part of the International Series in Operations Research & Management Science Book Series (volume 313)

DOI: 10.1007/978-3-030-85128-6

ISBN: 978-3-030-85127-9

Publisher: Springer International Publishing - Springer Journals

Sep 10, 2021

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Chapter 1Decision Making Under Uncertainty in the Power Sector

Sun, Xu Andy; Conejo, Antonio J.

Pages: 1 –30

[This introductory chapter provides an overview of the main approaches available to address optimization problems under uncertainty, namely, stochastic programming and robust optimization.]
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Chapter 2Static Robust Optimization

Sun, Xu Andy; Conejo, Antonio J.

Pages: 31 –93

[Robust optimization is a rich and powerful modeling paradigm for decision making under uncertainty (See Chap. 1). The basic philosophy of robust decision making is to seek a decision that is feasible against all realizations of uncertain parameters in a bounded set, the so-called uncertainty set.]
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Chapter 3Adaptive Robust Optimization

Sun, Xu Andy; Conejo, Antonio J.

Pages: 95 –129

[In Chap. 2, we have studied static robust optimization with the following robust inequality constraint f(x,ξ)≤0,∀ξ∈U,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy}...
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Chapter 4Distributionally Robust Optimization

Sun, Xu Andy; Conejo, Antonio J.

Pages: 131 –204

[The robust optimization methodology that we have introduced so far is built on a fundamental modeling approach, that is based on set-theoretic, deterministic uncertainty models.]
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Chapter 5Hybrid Adaptive Robust Optimization Models

Sun, Xu Andy; Conejo, Antonio J.

Pages: 205 –238

[This chapter provides a detailed description of Adaptive Robust Optimization (ARO) models that involve uncertainties of different nature, specifically, long-term uncertainty, such as that pertaining to electricity demand growth from year to year, and short-term uncertainty, such as that...
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Chapter 6Robust Optimization in Short-Term Power System Operations

Sun, Xu Andy; Conejo, Antonio J.

Pages: 239 –279

[In this chapter, we study the applications of robust optimization in day-ahead and real-time operation of power systems with significant wind and solar generation.]
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Chapter 7Medium-Term Planning Models

Sun, Xu Andy; Conejo, Antonio J.

Pages: 281 –302

[This chapter describes a number of medium-term power system planning problems amenable to be expressed and solved using Adaptive Robust Optimization (ARO) models.]
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Chapter 8Long-Term Planning Models

Sun, Xu Andy; Conejo, Antonio J.

Pages: 303 –326

[This chapter describes four long-term power system planning problems that can be expressed and solved as Adaptive Robust Optimization (ARO) models. These four problems are: Generation expansion planning.Generation and transmission expansion planning.Transmission expansion planning.Long-term...

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