The economic dispatch problem with non smooth cost function has become a major issue with depletion of coal and increasing fuel prices. A proper schedule of available generating units may save millions of dollars per year in production cost. In this paper, Simulated Annealing Optimization (SA) algorithm is proposed for solving economic load dispatch (ELD) problems. Simulated annealing is a random-search technique which exploits an analogy between the way in which a metal cools and freezes into a minimum energy crystalline structure (the annealing process) and the search for a minimum in a more general system; it forms the basis of an optimization technique for combinatorial and other problems Simulated annealing can deal with highly nonlinear models, chaotic and noisy data and many constraints. It is a robust and general technique. Its main advantages over other local search methods are its flexibility and its ability to approach global optimality. In all cases, the proposed algorithm either matches or outperforms the solution reported for the existing algorithms. The proposed technique is also easy to implement and capable of finding feasible near global optimal solution.
Efficient methods for solving economic load dispatch (ELD) problems have been provided to build effective multi-objective evolutionary algorithms (MOEAs). ELD is a dynamic bi-objective optimization problem that is strictly limited. The MOEA applications to solve the ELD problems have been published in various publications since the 1990s. This paper explores the state of the art of this direction-related research. It addresses subjects such as standard MOEAs, traditional ELD problems, dynamic ELD problems, wind power integration ELD problems, electric car integration ELD problems and micro-grid ELD problems. Furthermore, several potential directions are also provided for future study.
The main objective of the current effort is to create hybrid fibre reinforced concrete with improved strength properties, structural behaviour, and structural performance by adding the right dosage amount of hybrid fibre. In this work, it is suggested to employ hybrid fibres of two different types, one of which is Steel fibre, a metallic fibre, and the other is Polyvinyl Alcohol fibre, which has a synthetic foundation. In this way, the concrete gains high tensile strength, flexural strength, and compressive strength due to the inclusion of steel fibre with a high Young's modulus and tensile strength. The steel fibre functions as a crack arrestor, stopping the growth of cracks at the macro level. The microscopic cracks are stopped from spreading by the use of synthetic Polyvinyl Alcohol (PVA) fibre, which is more flexible and ductile, increasing the strength and hardness of the concrete. The objective of the current study is to assess the structural behaviour and strength features of hybrid fibre reinforced concrete. For different mix proportions, such as 0% Steel fibre and 1% PVA fibre, 0.25% Steel fibre and 0.75% PVA fibre, 0.50% Steel fibre and 0.50% PVA fibre, 0.75% Steel fibre and 0.25% PVA fibre, and 1% Steel fibre and 0% PVA fibre by the volume of concrete, the specimens were cast with the addition of hybrid fibres at a total volume fraction of 1%.
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