Stabilization of the Generalized Benders Decomposition applied to Short-Term Hydrothermal Coordination Problem

Rubiales, Aldo Jose; Lotito, Pablo A.; Parente, Lisandro A.

doi:10.1109/tla.2013.6684396

Cited by 17 publications

(7 citation statements)

References 30 publications

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“…C su, cold i , i f t down ≤ T cold start i C su, hot i , i f t down > T cold start i (20) Particular subroutines determine if each restriction is destroyed, and consequence aspects are computed.…”

Section: Sui =mentioning

confidence: 99%

“…The model of the transmission network was done at a high level of detail, and high level AC power flow was used to avoid post-dispatch corrections. These factors could be overcome by the novel decomposition approach proposed by Rubiales et al [20]. Their approach combined generalized benders decomposition with bundle methods, and used the stabilized version of the cutting planes to reduce the tailing-off effect.…”

Section: Introductionmentioning

confidence: 99%

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Hybrid ABC-BAT for Solving Short-Term Hydrothermal Scheduling Problems

et al. 2019

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The main objective of short-term hydrothermal scheduling is the optimal allocation of the hydro and thermal generating units, so that the total cost of thermal plants can be minimized. The time of operation of the functioning units are considered to be 24 h. To achieve this objective, the hybrid algorithm combination of Artificial Bee Colony (ABC) and the BAT algorithm were applied. The swarming behavior of the algorithm searches the food source for which the objective function of the cost is to be considered; here, we have used two search algorithms, one to optimize the cost function, and another to improve the performance of the system. In the present work, the optimum scheduling of hydro and thermal units is proposed, where these units are acting as a relay unit. The short term hydrothermal scheduling problem was tested in a Chilean system, and confirmed by comparison with other hybrid techniques such as Artificial Bee Colony–Quantum Evolutionary and Artificial Bee Colony–Particle Swarm Optimization. The efficiency of the proposed hybrid algorithm is established by comparing it to these two hybrid algorithms.

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Section: Sui =mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hybrid ABC-BAT for Solving Short-Term Hydrothermal Scheduling Problems

et al. 2019

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“…additionally, the HTD constraints: energy balance, Eq. (21), water balance (22), maximum thermal and hydro generation (23) and (24), maximum unit generation (25), productivity of the hydroplants (26), maximum and minimum limits of water discharge for the hydro plants (27) maximum and minimum volume limits for the water reservoirs (28) and minimum energy storage (29); (31) defines the linearization variables; finally, the variables are defined by constraints (32).The new linearized model resembles as follows:…”

Section: Inmentioning

confidence: 99%

“…In specialised literature, the fuel cost is often modelled as a quadratic variable [23,24]. The duration of four different types of maintenance is fixed and therefore a parameter of the problem, which is a realistic situation as referred in various works [19,25]. To make our approach closer to a real application, some of the generation units are considered not to have maintenance within the year (52 weeks), in that case the duration of the maintenance for that specific unit is zero.…”

Section: Introductionmentioning

confidence: 99%

Maintenance of generation units coordinated with annual hydrothermal scheduling using a hybrid technique

Ramírez-Martínez

Martínez-Sánchez

Escobar-Zuluaga

et al. 2017

Rev. Fac. Ing. Univ. Antioquia

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This paper presents a hybrid technique for solving the generation maintenance scheduling coordinated with middle term hydrothermal dispatch based on the Chu-Beasley genetic algorithm and linear programming. It takes into consideration the non-linearity derived from the cost of the fuel for thermal power plants. The output of the genetic algorithm is a proposal for the start week of the generation maintenance plan that minimises the hydrothermal dispatch cost. This work has two main contributions: on one hand proposing a solution that integrates hydrothermal dispatch and maintenance scheduling in a single model, therefore a new mathematical model and, on the other hand the proposed solution applies a specialised genetic algorithm that has not been applied before to solve this problem. The test system to validate the methodology is composed of three hydro plants and two thermal plants split into 22 generation units, considering three types of preventive maintenance, in a planning term of one year (52 weeks). This methodology combines an exact technique and a specialised genetic algorithm, which favours convergence. RESUMEN:Este artículo presenta una técnica híbrida para resolver la programación del mantenimiento de las unidades de generación coordinado con el despacho hidrotérmico de mediano plazo. La solución se basa en el algoritmo genético de Chu-Beasley y en la técnica de programación lineal. Tiene en cuenta no linealidades derivadas del costo de los combustibles utilizados por las centrales térmicas. La salida del algoritmo genético es una propuesta de la semana de inicio del plan de mantenimiento de cada unidad de generación que minimiza el costo del despacho hidrotérmico. Las dos principales contribuciones de este trabajo son que propone un modelo matemático que coordina dos problemas que en la literatura se han resuelto de forma separada, y que aplica un algoritmo genético especializado que aún no ha sido utilizado para resolver el problema coordinado. El sistema de prueba para validar la metodología se compone de tres centrales hidroeléctricas y dos centrales térmicas dividas en 22 unidades de generación, teniendo en cuenta el mantenimiento preventivo, en un horizonte de planeamiento de un año (52 semanas). Esta metodología combina una técnica exacta con un algoritmo genético especializado, lo que favorece la convergencia.18

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“…At present, many researchers have carried out extensive research in coordination of hydroelectric and thermal power resources (Zambon, R., 2011;Yunan, Z., 2013;Rubiales, A, 2013;Zhang, H., 2013;Nezhad, A., 2014;Martins, L., 2014). Both theory and practice confirm that a multitude of power resources can significantly improve the load regulation level.…”

Section: Using Multiple Power Source Coordination At Receiving End Pomentioning

confidence: 99%

Large-Scale Ultra High Voltage Alternate/Direct Current Hydropower Absorption Problems

Cheng¹,

Shen²,

Xiong³

et al. 2015

World Environmental and Water Resources Congress 2015

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With huge hydropower plants, such as Xiluodu, Xiangjiba, Nuozhadu and Jingping located in the watershed of Jinshajiang, Yalongjiang and Lancangjiang being completed and put into commission, hydropower transmission capacity in China is expanded rapidly. Large-scale hydropower transmission has a direct impact on the rational allocation of electricity resources in national scale, especially on the compromise between absorbing hydropower for sending end power grids and shaving peak load for receiving end power grids. However, owing to the limited regulation and absorption capacity of sending end hydropower plants, existing transmission schedules of hydropower in China are based on own operating requirements or surplus electricity of the sending end power grids. Thus it is vulnerable to "straight line" or "opposite peak shaving" transmission schedules which in turn aggravate pressure to peak shaving load in receiving end power grids. This is in opposite to the absorption and quality peak regulation capability of large-scale hydropower. A new challenge for the coordinating operations is how to utilize load peak and valley difference and the characteristics of different power sources to absorb surplus hydropower from supplying power grids and to shave peak load for receiving power grids, so as to exhibit the complementary roles of inter-basin cascade hydropower stations. The problem involves optimization scheduling methods, compensation mechanism, peak thresholds and coordination strategy among regional power grids, province power grids and plants. The key of the problem is to solve the existing large-scale Ultra High Voltage Alternate Current (UHVAC)/ Ultra High Voltage Direct Current (UHVDC) hydropower absorption in China. The purposes are to allocate power resources more rationally, alleviate the pressure of the receiving end power grid from peak shaving, improve the power source structures of Yangtze Delta and Pearl River Delta, reduce the haze pressure in these areas, and effectively safeguard the safety, economy and environmental protection, reliable operation of power grids in China

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Stabilization of the Generalized Benders Decomposition applied to Short-Term Hydrothermal Coordination Problem

Cited by 17 publications

References 30 publications

Hybrid ABC-BAT for Solving Short-Term Hydrothermal Scheduling Problems

Hybrid ABC-BAT for Solving Short-Term Hydrothermal Scheduling Problems

Maintenance of generation units coordinated with annual hydrothermal scheduling using a hybrid technique

Large-Scale Ultra High Voltage Alternate/Direct Current Hydropower Absorption Problems

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