Economic dispatch solution considering demand and wind speed uncertainties based on Newton's method

Chaiamarit, Kunjana; Nuchprayoon, Somboon

doi:10.1109/appeec.2013.6837253

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…Given the limitations of Newton's method, recent studies have sought to address these issues by combining the method with other optimization techniques [84] or developing revised variants of Newton's method [85,86]. Alternatively, the problem formulation may be approximated in a manner that renders Newton's method suitable for solving the problem [87,88].…”

Section: Newton's Methodsmentioning

confidence: 99%

Economic Dispatch Optimization Strategies and Problem Formulation: A Comprehensive Review

Marzbani,

Abdelfatah

2024

Energies

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Economic Dispatch Problems (EDP) refer to the process of determining the power output of generation units such that the electricity demand of the system is satisfied at a minimum cost while technical and operational constraints of the system are satisfied. This procedure is vital in the efficient energy management of electricity networks since it can ensure the reliable and efficient operation of power systems. As power systems transition from conventional to modern ones, new components and constraints are introduced to power systems, making the EDP increasingly complex. This highlights the importance of developing advanced optimization techniques that can efficiently handle these new complexities to ensure optimal operation and cost-effectiveness of power systems. This review paper provides a comprehensive exploration of the EDP, encompassing its mathematical formulation and the examination of commonly used problem formulation techniques, including single and multi-objective optimization methods. It also explores the progression of paradigms in economic dispatch, tracing the journey from traditional methods to contemporary strategies in power system management. The paper categorizes the commonly utilized techniques for solving EDP into four groups: conventional mathematical approaches, uncertainty modelling methods, artificial intelligence-driven techniques, and hybrid algorithms. It identifies critical research gaps, a predominant focus on single-case studies that limit the generalizability of findings, and the challenge of comparing research due to arbitrary system choices and formulation variations. The present paper calls for the implementation of standardized evaluation criteria and the inclusion of a diverse range of case studies to enhance the practicality of optimization techniques in the field.

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Section: Newton's Methodsmentioning

confidence: 99%

Economic Dispatch Optimization Strategies and Problem Formulation: A Comprehensive Review

Marzbani,

Abdelfatah

2024

Energies

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“…The deterministic and stochastic solutions were compared and the stochastic solution was found to be superior in the day-ahead scheduling due to the fact that all possible realizations of uncertainties were taken into account. Chaiamarit and Nuchprayoon [46] studied the economic dispatch problem. The historical wind and demand uncertainties were sampled in order to generate the stochastic scenarios.…”

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confidence: 99%

Integrated renewable electricity generation considering uncertainties: The UK roadmap to 50% power generation from wind and solar energies

Sharifzadeh

Lubiano-Walochik

Shah

2017

Renewable and Sustainable Energy Reviews

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Renewable energies can play an important role in mitigating the emissions associated with electricity power generation and diversification of the energy supply. The challenge is that renewable resources such as wind and solar have intermittent production patterns and their incorporation into conventional electricity grids will increase the degree of uncertainty. The present research proposes a comprehensive framework in which design and operation of the electricity grid are considered simultaneously and the uncertainties in the wind and solar generation as well as demand are systematically taken into account. The case of retrofitting the current UK electricity grid to include 50% renewable power generation by 2030 was posed as the demonstrating example. The research problem was formulated as a piece-wise linear mixed integer optimization under uncertainty and solved using CPLEX v12.0 in GAMS. The results suggested that it is possible to retrofit the electricity grid using renewable generators while optimizing the overall profitability and ensuring the secure supply of electricity. It was also observed that at the price of higher computational costs, stochastic optimization generates more realistic and robust solutions for the design and operation of the smart electricity grid. KeywordsIntegrated renewable energy systems, wind power, solar energy, stochastic mixed-integer optimization, uncertainty. , , ( ) Power generated by i natural gas power plant in scenario s at node n at time t , , ( ) Power generated by k nuclear power plant in scenario s at node n at time t , ( ) Wind power generated in scenario s at node n at time t , ( ) Solar power generated in scenario s at node n at time t , ( ) Power pumped from storage to node n in scenario s at time t , ( ) Power pumped to storage from node n in scenario s at time t cite this publication at: Mahdi Sharifzadeh, Helena Lubiano-Walochik, Nilay Shah. Integrated renewable electricity generation considering uncertainties: The UK roadmap to 50% power generation from wind and

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Economic dispatch solution considering demand and wind speed uncertainties based on Newton's method

Cited by 2 publications

References 17 publications

Economic Dispatch Optimization Strategies and Problem Formulation: A Comprehensive Review

Economic Dispatch Optimization Strategies and Problem Formulation: A Comprehensive Review

Integrated renewable electricity generation considering uncertainties: The UK roadmap to 50% power generation from wind and solar energies

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