Titlebook: Distributionally Robust Optimization and its Applications in Power System Energy Storage Sizing; Rui Xie,Wei Wei Book 2024 The Editor(s) (

火海

Preliminaryprograms and duality, multi-objective optimization, stochastic programming, and robust optimization. Some results are stated without proof and references are given for readers interested in the details. Besides the mathematical preliminary, we also summarize some popular power flow models, which are useful in power system planning and operation.

抛弃的货物

Moment-Based Distributionally Robust Optimization and mature ways to model the inexactness of empirical probability distribution for uncertainty-integrated optimization problems. This chapter focuses on the moment-based DRO, typical moment-based ambiguity sets are summarized, the reformulation methods are explained, and finally, the moment-based DRO incorporating unimodality is also introduced.

GLARE

-Divergence Distributionally Robust Optimizationwhat the .-divergence ambiguity set is, including the definitions, important properties, and the relationships between different types of .-divergences. Then the .-divergence ambiguity set is formally defined, followed by the reformulation methods of the corresponding worst-case expectations and robust chance constraints.

弯曲道理

Wasserstein-Distance Distributionally Robust Optimizationn about what a Wasserstein-distance ambiguity set should be like. Subsequently, Wasserstein-distance ambiguity sets of discrete and general probability distributions are both defined, with discussions about the parameter choice. Finally, the reformulation methods of worst-case expectations and robust chance constraints are introduced.

BUOY

一加就喷出

不连贯

小说

Introduction, of ES and introducing the models for ES operation. Subsequently, a comprehensive review is provided for ES sizing under different scenarios from the perspectives of the generation side, the grid side, and the distribution/demand side. A holistic view of the book’s content is offered in the end.

Dictation

有机体

Sizing Transmission and Energy Storage for Remote Large-Scale Renewable Power Plants ambiguity set based on Wasserstein distance. Through piecewise-affine function expressions, the proposed sizing model is transformed into a linear programming problem. This chapter introduces the work in Xie et al. (.).