An optimal design math model of 2KH planetary gear was built based the planet gear design features, which was resolved by the differential evolution algorithm. A program was programmed used the software Visual Basic 6...
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ISBN:
(纸本)9783037853733
An optimal design math model of 2KH planetary gear was built based the planet gear design features, which was resolved by the differential evolution algorithm. A program was programmed used the software Visual Basic 6.0, which was used for engineering example to checking it. The program running results indicated that the differential evolution algorithm can be used to resolve the optimal design problem of 2KH planetary gear and the calculating results of the program is proper and has some use value.
Recently, the differentialevolution (DE) algorithm has attracted much attention as an effective approach for numerical optimization. Since the performance of DE is sensitive to the choice of associated control parame...
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ISBN:
(纸本)9781457720727
Recently, the differentialevolution (DE) algorithm has attracted much attention as an effective approach for numerical optimization. Since the performance of DE is sensitive to the choice of associated control parameters, a large number of strategies on parameter determination have been presented in the past several years. However, most of them have limitations. Thus, to get optimal performance, time-consuming parameter tuning is necessary. This paper introduces an extension variable dimension of DE (EVSDE). In EVSDE, the control parameters are considered as a variable of the component. The variable dimension is expended and a new mutation strategy is employed for the extension dimension of variables on mutation operation. On the basis of experience value, the control parameters follow the individual variable and implement the dynamic self-adaptive process in the evolutionary process. It thus helps to improve the robustness of the algorithm and avoid premature convergence. Simulation results show the EVSDE is better than or at least comparable to other classic and adaptive DE algorithms from the literature in terms of convergence performance for a set of 10 benchmark problems.
This manuscript proposes a new metaheuristic optimization algorithm for solving the problems related to constraint optimization. The proposed algorithm is based on a nature-inspired algorithm like a lightning search a...
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This manuscript proposes a new metaheuristic optimization algorithm for solving the problems related to constraint optimization. The proposed algorithm is based on a nature-inspired algorithm like a lightning search algorithm and differential evolution algorithm. The proposed algorithm consists of two stages. In the first/exploitation/local stage, the fitness values are calculated by using a lightning search algorithm, the inclusion of weight factor in the lightning search algorithm, and differential evolution algorithm using the same population. In the second/global/exploration stage, the minimum value of fitness for each row population by the implementation of the above three algorithms is updated with the population. The first and second stage continues until certain criteria are achieved. The final minimum value is the optimized result. Validation of the proposed methodology is performed by using 60 benchmark functions. The proposed methodology is compared with seven other well-known algorithms namely the lightning search algorithm, differential evolution algorithm cuckoo search algorithm, particle swarm optimization algorithm, seagull optimization algorithm, chimp optimization algorithm, and mayfly algorithm by computing mean, standard deviation, best and worst value for 60 benchmark functions. The proposed methodology is also validated by implementing it in seven real-time constraint optimized problems. Furthermore, the efficiency of the proposed technique has been validated statistically for unimodal and multimodal test functions. The results show a better performance of the proposed optimized algorithm compared to other algorithms.
differentialevolution (DE) is a well known and simple population based probabilistic approach used to solve nonlinear and complex problems. It has reportedly outperformed a few evolutionary algorithms when tested ove...
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ISBN:
(数字)9788132204879
ISBN:
(纸本)9788132204862
differentialevolution (DE) is a well known and simple population based probabilistic approach used to solve nonlinear and complex problems. It has reportedly outperformed a few evolutionary algorithms when tested over both benchmark and real world problems. DE, like other probabilistic optimization algorithms, has inherent drawback of premature convergence and stagnation. Therefore, in order to find a trade-off between exploration and exploitation capability of DE algorithm, scaling factor in mutation process is modified. In mutation process, trial vector is calculated by perturbing the target vector. In this paper, a dynamic scale factor is proposed which controls the perturbation rate in mutation process. The proposed strategy is named as Dynamic Scaling Factor based differential evolution algorithm (DSFDE). To prove efficiency of DSFDE, it is tested over 10 benchmark problems.
The traditional method applying to solve continuous variable optimization problems is not suit for flume structural optimization design with hybrid discrete variable. According to the mathematical model of structural ...
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ISBN:
(纸本)9783037852958
The traditional method applying to solve continuous variable optimization problems is not suit for flume structural optimization design with hybrid discrete variable. According to the mathematical model of structural optimum design of the prestressed U-shell flumes, differentialevolution (DE) algorithm was introduced to flume structural optimization design. In order to improve the population's diversity and the ability of escaping from the local optimum, a self-adapting crossover probability factor was presented. Furthermore, a chaotic sequence based on logistic map was employed to self-adaptively adjust mutation factor based on linear crossover, which can improve the convergence of DE algorithm. Dynamic penalty function, to transform the constrained problem to unconstrained one, was employed. The result shows that, compared with the original design scheme, the optimization design scheme can greatly reduce the amount of prestressed reinforcement. The construction cost of both the flume and the whole project can be reduced accordingly.
Atmospheric stability, which has received widespread attention in recent years, has a significant impact on the performance of wind farms. However, majority of traditional wind farm layout optimization (WFLO) studies ...
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Atmospheric stability, which has received widespread attention in recent years, has a significant impact on the performance of wind farms. However, majority of traditional wind farm layout optimization (WFLO) studies assume that atmospheric stability is always neutral. Hence, to consider the influence of atmospheric stability, we developed a novel WFLO framework based on an improved Gaussian wake model. In this framework, local atmospheric stability was used as an important input parameter, and the calculation method of wind power generation was modified accordingly. The proposed method was applied to three ideal wind farms and one real wind farm (Horns Rev 1 wind farm) for layout optimization. The results illustrated that atmospheric stability had a critical influence on WFLO results. As the atmosphere became more stable, the number of wind turbines with low power generation levels in the optimized layout increased gradually, resulting in a decline in the overall power generation. Moreover, the layout optimized under traditional neutral assumption was not suitable for the actual atmospheric environment. However, correct consideration of local atmospheric stability distribution in WFLO will result in a layout with a higher power output. In the real-world scenario, the developed WFLO framework can comprehensively consider local wind resource conditions to obtain a more efficient and reliable optimized layout scheme.
An accurate mathematical model has practical applications in the design and research of solar cells. Many intelligent optimization algorithms are currently used to extract solar cell parameters. However, optimization ...
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An accurate mathematical model has practical applications in the design and research of solar cells. Many intelligent optimization algorithms are currently used to extract solar cell parameters. However, optimization algorithms including grasshopper optimization algorithm (GOA) are easy to fall into local optimums. An improved grasshopper optimization algorithm (IGOA) was proposed in this paper. Chaotic initialization was carried out to improve the quality of initial population. Then differentialevolution strategy was introduced to maintain the diversity of the population through mutation, crossover and selection process, leading to getting rid of local optimums and searching for better solutions in GOA. To accelerate the convergence speed of the algorithm, the positions of particles were updated with current particle optimal values as targets as in particle swarm optimization. The optimization experiments on standard test functions shown the superiority of IGOA compared with other intelligent optimization algorithms. IGOA was then used to identify the parameters of polycrystalline silicon solar cells. The identification accuracy and stability of IGOA are much higher than harris hawks optimization, grey wolf optimization and ant lion optimization. The effectiveness of IGOA in identifying parameters of solar cell under different illuminations was also verified by experiments.
Based on multi-objective differential evolution algorithm, adaptive chaotic multi-objective differential evolution algorithm(AC-DEMO) is proposed, combining with adaptive and chaotic principles. In AC-DEMO, chaotic in...
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ISBN:
(纸本)9781457720727
Based on multi-objective differential evolution algorithm, adaptive chaotic multi-objective differential evolution algorithm(AC-DEMO) is proposed, combining with adaptive and chaotic principles. In AC-DEMO, chaotic initialization and adaptive mutation operator are introduced to improve the efficiency of the algorithm. Numerical experiment results of commonly used test functions show that the algorithm has a good approximation and uniformity index and is suitable to solve complex multi-objective optimization problems.
Summing the grinding process of cement vertical mill, this paper analyzes the technology of this process, points out the key controlled variable in the process - the vertical mill pressure difference, and establishes ...
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ISBN:
(纸本)9781728158556
Summing the grinding process of cement vertical mill, this paper analyzes the technology of this process, points out the key controlled variable in the process - the vertical mill pressure difference, and establishes the model. In this paper, the vertical mill pressure difference is controlled by fractional order PID controller, which is based on the parameter optimization method with ideal bode transfer function as the reference model, because of its insensitivity to gain variation. As the integral order lambda and differential mu are also adjustable, parameter optimization is more complex,a modified differential evolution algorithm is adopted to speed up the optimization. The simulation results show that the control performance of fractional order PID controller is better than that of integer order controller, and the optimization speed of modified differential evolution algorithm is also improved.
This paper proposes a scheme to improve the differentialevolution (DE) algorithm performance with integrated the grasshopper optimization algorithm (GOA). The grasshopper optimization algorithm mimics the behavior of...
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This paper proposes a scheme to improve the differentialevolution (DE) algorithm performance with integrated the grasshopper optimization algorithm (GOA). The grasshopper optimization algorithm mimics the behavior of grasshopper. The characteristic of grasshoppers is slow movement in the larval stage but sudden movement in the adulthood which seem as exploration and exploitation. The grasshopper optimization algorithm concept is added to DE to guide the search process for potential solutions. The efficiency of the DE/GOA is validated by testing on unimodal and multimodal benchmarks optimization problems. The results prove that the DE/GOA algorithm is competitive compared to the other meta-heuristic algorithms. (C) 2018 The Authors. Published by Atlantis Press SARL. This is an open access article under the CC BY-NC license.
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