Equilibria in Interdependent Natural-gas and Electric Power Markets: an Analytical Approach

Mousavian, Seyedamirabbas; Raouf, Beheshteh; Conejo, Antonio J.

doi:10.35833/mpce.2020.000898

Cited by 7 publications

(4 citation statements)

References 40 publications

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“…Though the proposed problem is formulated as a bi-level problem, it still cannot be solved directly. Considering that the lower-level problem is linear and thus convex, this bi-level problem can be solved by representing the low-level problem with the Karush-Kuhn-Tucker (KKT) conditions, which are widely adopted [28] - [30]. By using the KKT theorem, the KKT conditions of the lower-level problem can be derived as (53)-(61).…”

Section: Solution Methodsmentioning

confidence: 99%

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Bi-level Energy Trading Model Incorporating Large-scale Biogas Plant and Demand Response Aggregator

Yang

Huang

et al. 2023

Journal of Modern Power Systems and Clean Energy

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Increasing intermittent renewable energy sources (RESs) intensifies the imbalance between demand and generation, entailing the diversification of the deployment of electrical energy storage systems (ESSs). A large-scale biogas plant (LBP) installed with heating devices and biogas energy storage (BES) usually exhibits a storage-like characteristic of accommodating an increasing penetration level of RES in rural areas, which is addressed in this paper. By utilizing the temperature-sensitive characteristic of anaerobic digestion that enables the LBP to exhibit a storage-like characteristic, this paper proposes a bi-level energy trading model incorporating LBP and demand response aggregator (DRA) simultaneously. In this model, social welfare is maximized at the upper level while the profit of DRA is maximized at the lower level. Compared with cases only with DRA, the results show that the proposed model with the LBP improves the on-site accommodation capacity of photovoltaic (PV) generation up to 6.3%, 18.1%, and 18.9% at 30%, 40%, and 50% PV penetration levels, respectively, with a better economic performance. This nonlinear bi-level problem is finally recast by a single-level mathematical program with equilibrium constraints (MPEC) using Karush-Kuhn-Tucker (KKT) conditions and solved by the Cplex solver. The effectiveness of the proposed model is validated using a 33-bus test system and a sensitivity analysis is provided for analyzing what parameter influences the accommodation capacity most.

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Section: Solution Methodsmentioning

confidence: 99%

“…Constraint (29) depicts the generation/regulation cost of PV and LBP. Constraint (30) is the cost of network losses. It is worth mentioning that to prevent the reverse power flows from feeding back into the main grid and threatening the operation security, exporting power is not allowed in this paper.…”

Section: B Upper-level Problem: Social Welfare Maximizationmentioning

confidence: 99%

Bi-level Energy Trading Model Incorporating Large-scale Biogas Plant and Demand Response Aggregator

Yang

Huang

et al. 2023

Journal of Modern Power Systems and Clean Energy

View full text Add to dashboard Cite

show abstract

“…In general, the participation factor of generating units determines the contribution of the units to the nominal load. The optimal value of the participation factor of each generating unit depends on a variety of factors such as generation capacity, availability, generation costs, and efficiency of the unit [27], [28]. For example, gas turbine units can respond to variations in load quickly.…”

Section: B System Model For Lfcmentioning

confidence: 99%

“…Replacing each parameter in ( 26) and ( 27) with its numerical range gives transfer function for each unit shown in (28) and (29).…”

Section: Numerical Analysismentioning

confidence: 99%

A Robust Controller Design based on Kharitonov’s Theorem for Frequency Control in an Interconnected Power System

Raouf

Mousavian

2023

EJECE

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The load frequency control of power systems is often carried out using methods that are dependent on the system load and parameters. Therefore, the controller design is not robust in unforeseen cases such an attack on the power system, variations in system parameters, or changes in load. In such methods, there is a need for an attack detection tool, and moreover, the controller parameters need to be adjusted as the load and power system parameters change. In this paper, Kharitonov's theorem was applied to design a robust decentralized load frequency control for a two-area power system in the presence of electric vehicle fleets as a power source that were targeted by a cyberattack. Furthermore, the robustness of the system against system nonlinearities was demonstrated by testing the efficacy of the controller on both linear and nonlinear systems. The controller design was robust such that there was no need to change the gains of the controller even during an attack. This was compared with the performance of controllers designed using GWO algorithm and fuzzy logic that needed retuning for different case studies with different variations in system parameters, load, or inclusion of a cyberattack to the electric vehicle fleets.

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Market-Based Environmental Policies in the Power Sector

Siddiqui

Tanaka

Chen

2023

Curr Sustainable Renewable Energy Rep

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Purpose of Review So-called Green New Deals aim to decarbonise the power sector via market-based instruments. Consequently, engineering-economic models for analysing the sustainable-energy transition have proliferated. This review categorises existing approaches and identifies areas for extending the state of the art. Recent Findings We cluster the extant literature into two groups: engineering/operational research (M1) and environmental economics (M2). While M1 focuses on the power sector’s technical and spatio-temporal aspects, M2’s emphasis is on incentives and externalities. Depending on the nature of the research question, either perspective (or both) may be suitable. Summary Since the envisaged electrification of the wider economy implies tighter coupling between formerly distinct sectors, e.g., power and heat, both M1 and M2 will have to adapt to the new paradigm in terms of methodology and application areas. Here, eliciting coordinating mechanisms, enhancing algorithms for solving hierarchical models, soft linking bottom-up and top-down models, and crafting robust environmental policy in face of uncertainty over externalities are some of the vistas for future research.

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Equilibria in Interdependent Natural-gas and Electric Power Markets: an Analytical Approach

Cited by 7 publications

References 40 publications

Bi-level Energy Trading Model Incorporating Large-scale Biogas Plant and Demand Response Aggregator

Bi-level Energy Trading Model Incorporating Large-scale Biogas Plant and Demand Response Aggregator

A Robust Controller Design based on Kharitonov’s Theorem for Frequency Control in an Interconnected Power System

Market-Based Environmental Policies in the Power Sector

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