Micro Water–Energy Nexus: Optimal Demand-Side Management and Quasi-Convex Hull Relaxation

Li, Qifeng; Yu, Suhyoun; Al-Sumaiti, Ameena Saad; Turitsyn, Konstantin

doi:10.1109/tcns.2018.2889001

Cited by 89 publications

(50 citation statements)

References 30 publications

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“…Due to the nonlinearity of the left hand side of (7b), a Jacobian based iterative method is typically applied; see e.g., [12,Appendix D]. Upon solving (7), the flow rates solution q * determines the amount of water flow intake from the main reservoir, s * 0 :…”

Section: Network Model and The Water Flow Problemmentioning

confidence: 99%

A Fixed-Point Iteration for Steady-State Analysis of Water Distribution Networks

Bazrafshan

Gatsis

Giacomoni

et al. 2018

2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP)

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This paper develops a fixed-point iteration to solve the steady-state water flow equations in an urban water distribution network. The fixed-point iteration is derived upon the assumption of turbulent flow solutions and the validity of the Hazen-Williams head loss formula for water flow. Local convergence is ensured if the spectral radius of the Jacobian at the solution is smaller than one. The implication is that the solution is at least locally unique and that the spectral radius of the Jacobian provides an estimate of the convergence speed. A sample water network is provided to assert the application of the proposed method.

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Section: Network Model and The Water Flow Problemmentioning

confidence: 99%

A Fixed-Point Iteration for Steady-State Analysis of Water Distribution Networks

Bazrafshan

Gatsis

Giacomoni

et al. 2018

2018 IEEE Global Conference on Signal and Information Processing (GlobalSIP)

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“…This model, similar to the above nonlinear model in (5) for BESS is shown in [34]; where the authors presented a novel convex relaxation of the non-convex equation (5a) to their distributed energy storage optimal scheduling problem.…”

Section: ) Convex Nonlinear Model For Bessmentioning

confidence: 99%

“…The equations (6a -6c) is the convex hull relaxation of (5a) within system bounds (Vn min ≤ Vn,t ≤ Vn max and (5c)). Please refer to [34] for more information on this model.…”

Section: ) Convex Nonlinear Model For Bessmentioning

confidence: 99%

“…Table I attempts to classify some of the applicable grid-integrated linear and nonlinear ESS models used in power system optimization. [25], [42], [43] CAES [38], [43] FES [45] BESS [21], [23], [24], [30], [31], [32], [33], [34], [37], [39] SMES Generic { [12], [20], [26], [27], [28], [29], [41]} SC Generic { [12], [20], [26], [27], [28], [29], [41]} TESS [22], [45] HES [40] Table II is intended to provide the reader with suitable models incorporating other technological aspects and characteristics not covered in this paper for all the different ESS technologies listed in section II.…”

Section: ) Distribution Network and Microgridsmentioning

confidence: 99%

“…Reference [49] is the more frequently used literature-based test case as seen in approaches by [23], [24], [25], [41] and [43]. Some other authors in conjunction with power utilities or system operators attempt to scale obtained multi-period load data from those organizations to suit their selected literaturebased case studies as seen in approaches by [26], [27], [32], [34], [41] and [45]. These literature-based test cases could also be modified based on assumptions that enable integration of the ESS and perhaps RES.…”

Section: Test Systemsmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical Models for Optimization of Grid-Integrated Energy Storage Systems: A Review

Eyisi

Al-Sumaiti

Turitsyn

et al. 2019

2019 North American Power Symposium (NAPS)

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Energy storage has been proven to yield positive effects on planning, operation and control of electric grids. It has become a crucial task to properly model the energy storage systems (ESS) under the framework of grid optimization on transmission and distribution networks including microgrids. This paper presents a review on mathematical models and test cases of ESSs used for grid optimization studies, where the network constraints of power systems are included. The existing ESS models are mainly classified into two categorieslinear and nonlinear models. The two main categories are further divided into several subcategories respectively; such as mixed-integer linear and convex nonlinear sub-categories. Based on the review and discussions, this paper aims at providing suggestions for choosing proper ESS models for specific grid optimization studies considering the chosen power network model.

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A Versatile Strategy for Achieving Fast‐Charging Batteries via Interfacial Engineering: Pseudocapacitive Potassium Storage without Nanostructuring

Kim

Jung

Lim

et al. 2022

Small

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over the past two decades. [1] In particular, intensive research on the rocking-chair type insertion/extraction behavior of alkali ions into electrodes has expanded the rechargeable battery market from portable electronic devices to electric vehicles (EVs). [2] However, this significant shift in the battery paradigm to high-energy-density applications has resulted in challenges related to charging time. [3] For example, several hours are inevitably required to charge EVs completely using the current battery technology, far the behind practical goal that EVs charge to 80% of state of charge (ΔSOC) within only 10-15 min. [4] Therefore, the fast-charging capability of rechargeable batteries has become an essential requirement in modern society to adopt EVs and future energy systems. [5] Generally, the fast-charging properties of batteries depend on the transport kinetics of alkali ions in electrodes; hence, a short diffusion time of alkali ions in solid-state active material is highly required. [6] The diffusion time (τ) of alkali ions in electrodes is related to the diffusion length (L) and diffusivity (D), as follows: τ = L 2 × D −1 . [7] As the diffusion time is dependent on the values of L and D, approaches to shorten the diffusion length and to increase the diffusivity of alkali ions have been mainly investigated in the design of fast-charging batteries. [8] Recently,The rapid transport of alkali ions in electrodes is a long-time dream for fast-charging batteries. Though electrode nanostructuring has increased the rate-capability, its practical use is limited because of the low tap density and severe irreversible reactions. Therefore, development of a strategy to design fast-charging micron-sized electrodes without nanostructuring is of significant importance. Herein, a simple and versatile strategy to accelerate the alkali ion diffusion behavior in micron-sized electrode is reported. It is demonstrated that the diffusion rate of K + ions is significantly improved at the hetero-interface between orthorhombic Nb 2 O 5 (001) and monoclinic MoO 2 (110) planes. Lattice distortion at the hetero-interface generates an inner space large enough for the facile transport of K + ions, and electron localization near oxygen-vacant sites further enhances the ion diffusion behavior. As a result, the interfacial-engineered micron-sized anode material achieves an outstanding rate capability in potassium-ion batteries (KIBs), even higher than nanostructured orthorhombic Nb 2 O 5 which is famous for fast-charging electrodes. This is the first study to develop an intercalation pseudocapacitive micron-sized anode without nanostructuring for fast-charging and high volumetric energy density KIBs. More interestingly, this strategy is not limited to K + ion, but also applicable to Li + ion, implying the versatility of interfacial engineering for alkali ion batteries.

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Micro Water–Energy Nexus: Optimal Demand-Side Management and Quasi-Convex Hull Relaxation

Cited by 89 publications

References 30 publications

A Fixed-Point Iteration for Steady-State Analysis of Water Distribution Networks

A Fixed-Point Iteration for Steady-State Analysis of Water Distribution Networks

Mathematical Models for Optimization of Grid-Integrated Energy Storage Systems: A Review

A Versatile Strategy for Achieving Fast‐Charging Batteries via Interfacial Engineering: Pseudocapacitive Potassium Storage without Nanostructuring

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