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Assessing the Effect of Reliability-Based Maintenance Approach in Job Shop Scheduling with Setup Time and Energy Consideration Using Simulation; A Simulation Study 基于可靠性的维修方法在考虑装配时间和能量的作业车间调度中的效果仿真评估模拟研究
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-06-21 DOI: 10.1080/23080477.2021.1938502
Shrajal Gupta, Ajai Jain
ABSTRACT Maintenance in a stochastic job shop scheduling environment significantly impacts real-time scheduling problems with the environmental aspect. This simulation research assesses the effect of a reliability-based preventive maintenance approach to system performance for considering job shop scheduling problems with sequence-dependent setup time (SDST). Two types of reliability-based maintenance approaches are considered, i.e., reliability-centered preventive maintenance (RCPM) and a reliability-centered periodic preventive maintenance approach (RCPPM). The shop comprises 10 different machines and six job types. Six scheduling and two energy-oriented performance measures (Pms) are considered for evaluating the system’s performance. Results reveal that lower levels of reliability, namely, 0.74, 0.78, and 0.82 recommended for mean flow time, makespan, average operation energy consumption, average idle energy consumption, and total setups Pms. A 0.74 level of reliability is recommended for mean tardiness and the number of tardy jobs Pms for the RCPM approach. RCPPM approach provides the best system Pms by mean flow time, makespan, mean tardiness, average operation energy consumption, average idle energy consumption, and the number of tardy jobs when maintenance time is 5% of operation time. In contrast, mean setup, and total setups Pms are independent of maintenance time. Both approaches get compared, and its statistical analysis shows that if maintenance time is 15% or more than 15% of the operation time, the RCPM method is recommended. If maintenance time is 10% or less than 10% of the operation time, maintenance planning is recommended using the RCPPM approach. Considering real-time scheduling work with the environmental aspect represents the novelty of the present study.
随机作业车间调度环境下的维修对实时调度问题具有显著的环境影响。本仿真研究评估了一种基于可靠性的预防性维护方法对系统性能的影响,该方法考虑了具有序列相关设置时间(SDST)的作业车间调度问题。考虑了两种基于可靠性的维护方法,即以可靠性为中心的预防性维护方法(RCPM)和以可靠性为中心的定期预防性维护方法(RCPPM)。车间有10种不同的机器和6种工种。考虑了6个调度指标和2个面向能源的性能指标(Pms)来评估系统的性能。结果表明,对于平均流程时间、完工时间、平均运行能耗、平均闲置能耗和总机组Pms,推荐的可靠性水平较低,分别为0.74、0.78和0.82。对于RCPM方法,建议将平均延迟和延迟作业Pms数量的可靠性设置为0.74。当维护时间为运行时间的5%时,RCPPM方法通过平均流程时间、完工时间、平均延迟时间、平均运行能耗、平均闲置能耗和延迟作业数提供了最佳的系统Pms。相反,平均设置和总设置Pms与维护时间无关。对两种方法进行比较,统计分析表明,当维护时间占运行时间的15%或大于15%时,推荐使用RCPM方法。当维护时间占设备运行时间的10%或10%以下时,建议使用RCPPM方法进行维护规划。考虑环境因素的实时调度工作是本研究的新颖之处。
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引用次数: 3
Experimental Investigation of Emission Characteristics on Can-Combustor Using Jatropha Based Bio-derived Synthetic Paraffinic Kerosene 麻疯树生物合成石蜡煤油燃烧器燃烧特性的实验研究
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-06-21 DOI: 10.1080/23080477.2021.1938503
Nand Jee Kanu, S. Guluwadi, Vivek Pandey, S. Suyambazhahan
ABSTRACT Emissions emanating from gas turbine are important and critical in terms of environmental impact. In general, oxides of nitrogen, total unburned hydrocarbon, carbon monoxide, carbon dioxide, and soot particles are the most significant emissions from gas-turbine combustion systems. In order to reduce these emissions, fuels derived from bio-origin are being increasingly used for gas-turbine combustion. Since aviation accounts for more than 5% of anthropogenic emissions, and also due to increasing pressure from governments across the globe for emission reduction, it is important to investigate pathways to reduce aviation-generated emissions. We, therefore, propose the use of Jatropha-based bio-derived synthetic paraffinic kerosene (SPK) blended with aviation turbine fuel (ATF)-Jet A1, and experimentally investigate the emission characteristics within a laboratory-scale gas-turbine combustor from proposed fuel blends. The investigation is done for two different operating conditions: operating condition 1 (OC1) and operating condition 2 (OC2). The influence of emission characteristics of the two biofuel blends, namely BF-II and BF-IV, are analyzed and compared with that of neat ATF-Jet A1. A substantial reduction of 33.5% in THC, 20% in CO, 42% in soot and increase of 40% in NO x and 28.7% in CO2 emissions are evident for BF-II fuel in comparison to ATF with OC1. However, at OC2, these emission reductions are less with increased NO x emissions of 50.2% in comparison to that of ATF. In addition, for the fuel BF-IV, there have been reductions of 57.2% THC, 33.3% CO, 67.1% soot and increase of 49.4% NO x and 43.9% CO2 emissions as compared with ATF at OC1. Also THC, CO, soot, and CO2 emissions are reduced considerably with increased NO x emissions for BF-IV fuel at OC2. Graphical Abstract
燃气轮机排放对环境的影响是非常重要和关键的。一般来说,氮氧化物、总未燃烧的碳氢化合物、一氧化碳、二氧化碳和烟尘颗粒是燃气轮机燃烧系统中最重要的排放物。为了减少这些排放,生物燃料越来越多地被用于燃气轮机燃烧。由于航空占人为排放的5%以上,而且由于全球各国政府要求减排的压力越来越大,因此研究减少航空排放的途径非常重要。因此,我们建议使用基于麻风树的生物衍生合成石蜡煤油(SPK)与航空涡轮燃料(ATF)-Jet A1混合,并在实验室规模的燃气轮机燃烧室中实验研究所提出的燃料混合物的排放特性。在两种不同的操作条件下进行了调查:操作条件1 (OC1)和操作条件2 (OC2)。分析了BF-II和BF-IV两种生物燃料混合物对排放特性的影响,并与纯ATF-Jet A1进行了比较。与使用OC1的ATF相比,使用BF-II燃料可以显著减少33.5%的THC、20%的CO、42%的烟尘排放,增加40%的nox和28.7%的CO2排放。然而,在OC2下,与ATF相比,这些减排较少,nox排放量增加了50.2%。此外,燃料BF-IV与ATF相比,在OC1时THC排放量减少57.2%,CO排放量减少33.3%,烟尘排放量减少67.1%,nox排放量增加49.4%,CO2排放量增加43.9%。此外,在OC2下,随着BF-IV燃料nox排放量的增加,THC、CO、烟灰和CO2排放量也大大减少。图形抽象
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引用次数: 5
Nanoscale zero valent nickel: synthesis and spectral studies of interactions with different surfactants and solvents 纳米级零价镍:与不同表面活性剂和溶剂相互作用的合成和光谱研究
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-06-10 DOI: 10.1080/23080477.2021.1934263
S. #, A. Goel
ABSTRACT Highly selective nickel nanocatalysts were synthesized by modified polyol reduction methods with different surfactants and solvents. These nanoparticles were characterized by UV-Vis spectroscopy. The effect of anionic-sodium dodecyl sulfate(SDS), cationic-N-cetyl- N,N,N trimethyl ammonium bromide (CTAB) and neutral surfactant- polyvinyl pyrrolidone (PVP) was studied by X-ray diffractometer (XRD) technique. Morphology, particles size, and oxidation state of nickel nanoparticles (below 10 nm) were confirmed by Field Emission Scanning Electron Microscopy, High Resolution Transmission Electron Microscopy and X- ray Photoelectron Spectroscopic techniques, respectively. The study reveals that the particles using ethylene glycol as reductant and PVP as capping agent are smallest (2.4 nm), amorphous, homogeneous and less dispersed. Further, particles with smaller size are used as catalysts in the degradation of acid orange10 dye by hexacyanoferrate(III) ions in aqueous alkaline medium. The particles size show good catalytic activity as compared to nickel precursor salts due to their small size.
摘要采用改性多元醇还原法,在不同的表面活性剂和溶剂中合成了高选择性镍纳米催化剂。用紫外-可见光谱法对这些纳米粒子进行了表征。用X射线衍射仪(XRD)技术研究了阴离子十二烷基硫酸钠(SDS)、阳离子N-正丁基-N,N,N-三甲基溴化铵(CTAB)和中性表面活性剂聚乙烯吡咯烷酮(PVP)的作用。通过场发射扫描电子显微镜、高分辨率透射电子显微镜和X射线光电子能谱技术分别证实了镍纳米颗粒(10nm以下)的形貌、粒径和氧化态。研究表明,以乙二醇为还原剂,PVP为封端剂的颗粒最小(2.4nm),无定形,均匀,分散性差。此外,在碱性水介质中,具有较小尺寸的颗粒被用作六氰基高铁酸盐(III)离子降解酸性橙10染料的催化剂。与镍前体盐相比,由于它们的小尺寸,颗粒尺寸显示出良好的催化活性。
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引用次数: 0
Equilibrium Optimizer: Insights, Balance, Diversity for Renewable Energy Resources Based Optimal Power Flow with Multiple Scenarios 均衡优化器:基于多场景下可再生能源最优潮流的洞察、平衡、多样性
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-31 DOI: 10.1080/23080477.2021.1932164
Sundaram B. Pandya, H. Jariwala
ABSTRACT Today, along with renewable energy sources such as wind generation units and solar photovoltaic systems, the power grid consists of traditional generating units. An approach for solving single-objective optimal power flow problems with the combination of renewable energy resources (RER-OPF) solar and wind power with conventional coal-based power stations is recommended in the proposed paper. In the proposed work, functions of lognormal and Weibull probability distribution are used, respectively, to forecast solar and wind outcomes. The objective feature includes the underestimation service charge and the standby charge for overestimating unusual non-conventional power generation. The quantitative and comparative results show that Equilibrium optimizer (EO) outperforms compare to Harris Hawks Optimizer (HHO), Grey Wolf Optimizer (GWO), Ions Motion Optimizer (IMO) and Success-History based Adaptive Differential Evolution (SHADE), which are all well-known optimization algorithms for solving RER-OPF problem. The EO optimizer provides the optimum value of each objective function and has merits in solving IEEE-30 bus-based RER-OPF problem, according to several evaluation criteria such as best value statistical criterion. Graphical Abstract
摘要如今,除了风力发电机组和太阳能光伏系统等可再生能源外,电网由传统发电机组组成。本文提出了一种将可再生能源(RER-OPF)太阳能和风能与传统燃煤发电站相结合来解决单目标最优潮流问题的方法。在所提出的工作中,分别使用对数正态和威布尔概率分布函数来预测太阳能和风能的结果。客观特征包括低估服务费和高估非常规发电的备用费。定量和比较结果表明,均衡优化器(EO)的性能优于Harris Hawks优化器(HHO)、Grey Wolf优化器(GWO)、Ions运动优化器(IMO)和基于成功历史的自适应差分进化算法(SHADE),它们都是解决RER-OPF问题的著名优化算法。EO优化器提供了每个目标函数的最优值,并根据最佳值统计标准等几个评估标准,在解决基于IEEE-30总线的RER-OPF问题方面具有优点。图形摘要
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引用次数: 6
Numerical Study of Stochastic Leontief-Type Model with Impulses 随机脉冲leontief型模型的数值研究
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-09 DOI: 10.1080/23080477.2021.1921469
Jawad Tahir
ABSTRACT In this article, a stochastic Leontief model with impulses has been studied, which is represented by a system of stochastic differential-algebraic equations, in both sides of the rectangular constant numerical matrices that form a singular pencil. The system has been considered in terms of the current velocity of the solution, which is a direct analog of the physical velocity of deterministic processes. The proposed approach in this work does not impose restrictions on the size and the form of the matrices included in the Leontief-type system. The Kroenke-Weierstrass transformation of the pencil was conducted by the coefficient matrices to the canonical form has been used to simplify the study of equations. This study also involves two methods: Firstly, using a stochastic differential equation, this was followed by using the so-called mean derivatives of Nelson random processes to describe the solutions of this equation. The distinguishing feature of the work proposed an approach based on the convergence of the theoretical results to the exact one. The findings show that explicit formulas for solutions and solvability conditions are obtained, and for a subsystem resolved with respect to the symmetric derivative. The theorem of existence of solutions for the system under consideration has been proved under certain conditions on the coefficients of the system. Conducting computational experiments on the model confirming the effectiveness of the proposed approach. Error, maximum and minimum of the singular values of matrices. GRAPHICAL ABSTRACT
摘要本文研究了一个具有脉冲的随机Leontief模型,该模型由一组随机微分代数方程组表示,在矩形常数值矩阵的两侧形成一个奇异铅笔。该系统是根据解的当前速度来考虑的,这是确定性过程的物理速度的直接模拟。本工作中提出的方法不对Leontief型系统中包含的矩阵的大小和形式施加限制。用系数矩阵将铅笔的Kroenke-Weierstrass变换为正则形式,简化了方程组的研究。本研究还涉及两种方法:首先,使用随机微分方程,然后使用所谓的Nelson随机过程的平均导数来描述该方程的解。这项工作的显著特点提出了一种基于理论结果与精确结果收敛的方法。研究结果表明,得到了解的显式公式和可解条件,并得到了关于对称导数的子系统的显式解和可解性条件。在系统系数的一定条件下,证明了系统解的存在性定理。对模型进行计算实验,验证了所提方法的有效性。矩阵奇异值的误差、最大值和最小值。图形摘要
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引用次数: 0
BWO Strategy for Power Quality Improvement in HRES Grid-Connected DPFC System 改善HRES并网DPFC系统电能质量的BWO策略
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-05 DOI: 10.1080/23080477.2021.1920142
S. B
ABSTRACT Hybrid renewable energy sources (HRES) integrated with the grid connection is tremendously increasing its importance in the current scenario to meet the huge demand for electrical power. This integration is further decreasing the usage of fossil fuel and reducing the problems related to the environment. HRES such as the photovoltaic (PV) system, wind turbine (WT), and the battery energy storage system (BESS) in grid-connected systems are causing power quality (PQ). To overcome such issues in the HRES system, black widow optimization (BWO) with distributed power flow controller (DPFC) is proposed. DPFC is one among the various custom power devices, which are effectively used to mitigate the PQ issues, such as voltage/current sag, swell, and total harmonic distortions. Fractional order PID controller is designed to drive DPFC whose control parameters are generated with BWO technique. The analysis is compared with various techniques like PI, P&O, GSA, ASO, RFA, EVORFA, and BWO and obtained the best results. The test system is simulated in MATLAB/Simulink software. GRAPHICAL ABSTRACT
混合可再生能源(HRES)与电网连接集成在当前场景中,以满足巨大的电力需求,其重要性大大增加。这种整合进一步减少了化石燃料的使用,减少了与环境有关的问题。并网系统中的光伏(PV)系统、风力发电机组(WT)、电池储能系统(BESS)等HRES引起了电能质量(PQ)问题。为了克服这些问题,提出了基于分布式潮流控制器(DPFC)的黑寡妇优化(BWO)。DPFC是各种定制功率器件中的一种,可有效地用于缓解PQ问题,如电压/电流凹陷、膨胀和总谐波失真。设计了分数阶PID控制器来驱动DPFC, DPFC的控制参数由BWO技术生成。分析比较了PI、P&O、GSA、ASO、RFA、EVORFA、BWO等多种技术,获得了最佳效果。在MATLAB/Simulink软件中对测试系统进行了仿真。图形抽象
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引用次数: 2
NOVEL SARS-CoV-2 INHIBITORS FROM PHENETHYLTHIAZOLETHIOUREA DERIVATIVES USING HYBRID QSAR MODELS AND DOCKING SIMULATION 基于混合QSAR模型和对接模拟的苯乙基噻唑硫脲衍生物的新型SARS-CoV-2抑制剂
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-05-05 DOI: 10.1080/23080477.2021.1914967
Pham Van Tat, Tran Thai Hoa, Au Vo Ky, Pham Nu Ngoc Han
ABSTRACT Currently, there are several groups of HIV-1 virus inhibitors that could potentially be used in the treatment of SARS-CoV-2. Particularly, the phenethylthiazolethiourea compounds are capable of inhibiting HIV-1 RT and have been tested by IC50. This work contributed to the search for SARS-CoV-2 inhibitors; a group of these compounds was developed to obtain SARS-CoV-2 inhibitors. The hybrid QSARGA-ANN model with I(5)-HL(9)-O(1) architecture used for developing for HIV-1 inhibitors and it successfully predicted the pIC50 activities of six newly designed compounds. The predicted results of the pIC50 activity received from the QSARGA-ANN model agreed well with the docking simulation. The C-n6 new molecule that has been bound to the SARS-CoV-2 protein receptors (PDB ID: 6LU7) using docking simulation. It demonstrated a more effective activity against HIV-1 (PDB ID: 1ODW). This compound C-n6 exhibited the binding affinity for the HIV-1 protein (1ODW) is −23.6137 kJ.mol-1; for the target protein SARS-CoV-2 (6LU7), its binding affinity is −27.4235 kJ.mol-1. The retrosynthesis plan for the most active substance C-n6 1-(2-chloro-5-hydroxy-4-nitrophenethyl)-3- (thiazol-2-yl) thiourea has been successfully constructed. In this research the designed directions for new substances can generate the SARS-CoV-2 inhibitory drugs in a fast and reliable way. GRAPHICAL ABSTRACT
目前,有几组HIV-1病毒抑制剂可能用于治疗SARS-CoV-2。特别是,苯乙基噻唑硫脲化合物能够抑制HIV-1 RT,并已通过IC50测试。这项工作有助于寻找SARS-CoV-2抑制剂;开发了一组这些化合物以获得SARS-CoV-2抑制剂。该混合QSARGA-ANN模型具有I(5)-HL(9)-O(1)结构,用于开发HIV-1抑制剂,并成功预测了六种新设计化合物的pIC50活性。QSARGA-ANN模型对pIC50活性的预测结果与对接模拟结果吻合较好。通过对接模拟,与SARS-CoV-2蛋白受体(PDB ID: 6LU7)结合的C-n6新分子。它对HIV-1 (PDB ID: 1ODW)具有更有效的活性。该化合物C-n6对HIV-1蛋白的结合亲和力(1ODW)为−23.6137 kJ.mol-1;靶蛋白SARS-CoV-2 (6LU7)的结合亲和力为−27.4235 kJ.mol-1。成功地构建了最活性物质C-n6 1-(2-氯-5-羟基-4-硝基苯基)-3-(噻唑-2-基)硫脲的反合成方案。本研究设计的新物质方向可以快速、可靠地生成抑制SARS-CoV-2的药物。图形抽象
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引用次数: 2
Measurement of Tan-delta and DC Resistivity of Synthetic Ester Based Oil Filled with Fe2O3, TiO2 and Al2O3 Nanoparticles Fe2O3、TiO2和Al2O3纳米颗粒填充合成酯基油的钽δ和直流电阻率测量
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-04-26 DOI: 10.1080/23080477.2021.1920130
Suhaib Ahmad Khan, A. A. Khan, M. Tariq
ABSTRACT The dielectric properties of insulating liquids are very important for their application as insulation and coolant in electrical devices like transformers. It is important to monitor the health condition of transformers for uninterrupted and economical power supply. For this purpose, the simple insulating materials like pressboard and mineral oils are used. This paper presents an eco-friendly alternative to mineral oil in the form of the synthetic ester oil-based nanofluids. This paper aims to present the effect of nanoparticles on the dielectric dissipation factor and electrical resistivity of ester-based oil. In this paper, we are testing synthetic ester oils for DC resistivity and dielectric dissipation factor (Tan-delta) at different temperatures starting from room temperature up to 80°C by incorporating nanoparticles with 0.02 weight% concentration. Nanoparticles used in this study are Fe2O3, TiO2 and Al2O3. Synthetic ester oil is used as the base oil for testing. These oils are manufactured from raw materials that are basically formed by combining acids and alcohols. The heating chamber is used to heat the oil for different temperatures. Insulation resistance (IR) tester and oil dissipation factor meter are used to determine DC resistivity and dielectric dissipation factor (DDF) of simple synthetic ester oil and nano oil respectively. This paper presents the effect of nanoparticles and temperature on dielectric properties of synthetic ester-based oils.
绝缘液体的介电性能对于其在变压器等电气设备中作为绝缘和冷却剂的应用非常重要。监测变压器的健康状况对于实现不间断和经济的电力供应非常重要。为此,使用了简单的绝缘材料,如纸板和矿物油。本文以合成酯油基纳米流体的形式提出了一种环保的矿物油替代品。本文旨在研究纳米颗粒对酯基油的介电损耗因子和电阻率的影响。在本文中,我们通过加入0.02重量%浓度的纳米颗粒,在从室温到80°C的不同温度下测试合成酯油的直流电阻率和介电损耗因子(Tan delta)。本研究中使用的纳米粒子是Fe2O3、TiO2和Al2O3。合成酯油被用作测试的基础油。这些油是由基本上由酸和醇结合形成的原材料制成的。加热室用于将机油加热到不同的温度。采用绝缘电阻测试仪和油耗散因子仪分别测定了简单合成酯油和纳米油的直流电阻率和介电耗散因子。本文介绍了纳米颗粒和温度对合成酯基油介电性能的影响。
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引用次数: 6
A Different Perception of Hybrid Renewable Energy Sources Integrated Multi-objective Optimal Power Flow considering Performance Parameters and Penetration 考虑性能参数和渗透的混合可再生能源多目标最优潮流的不同感知
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-04-20 DOI: 10.1080/23080477.2021.1916853
Sundaram B. Pandya, H. Jariwala
ABSTRACT Traditional generating units, as well as renewable energy resources, make up the electrical grid. The proposed article proposes performance indices for optimal power flow, which combine wind turbines, solar photovoltaic systems, and hybrid solar with small hydropower sources. The irregularity of renewable energy sources’ performance adds to the complexity of the optimal power flow (OPF) problem. The analytical strategies also use lognormal, Weibull, and Gumbel probability density functions to approximate the energy yield of those renewables. Also explored is the effect of changing distribution parameters and the penetration of renewable energy resources as a function of optimal power flow. Penalty charges for underestimation and standby charges for overestimation of unusual non-conventional generating units are included in the objective feature. The optimization problem is solved using a non-dominated multi-objective moth flame optimization technique. In terms of achieving diverse and convergent Pareto optimal solutions, the MOMFO optimizer is more efficient and robust than the SMODE/SF and MOEA/D-SF optimizers, according to the simulation outcomes. As a result IEEE-30 bus system, the MOMFO optimizer can be used to tackle the MO-SCOPF issue with the incorporation of wind, solar, hydro, and thermal generators in an integrated multiple-power system. GRAPHICAL ABSTRACT
电网由传统发电机组和可再生能源组成。本文提出了最佳潮流的性能指标,该指标结合了风力涡轮机、太阳能光伏系统、混合太阳能和小水电资源。可再生能源性能的不规则性增加了最优潮流问题的复杂性。分析策略还使用对数正态、威布尔和甘贝尔概率密度函数来近似这些可再生能源的能源产量。还探讨了作为最优潮流函数的分布参数变化和可再生能源渗透的影响。目标特征中包括低估的惩罚费用和高估异常非常规发电机组的备用费用。使用非支配多目标蛾火焰优化技术来解决优化问题。根据模拟结果,在实现多样化和收敛的Pareto最优解方面,MOMFO优化器比SMODE/SF和MOEA/D-SF优化器更高效、更稳健。作为IEEE-30总线系统的结果,MOMFO优化器可用于解决MO-SCOPF问题,将风力、太阳能、水力和热力发电机整合到集成的多电源系统中。图形摘要
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引用次数: 9
The new transform ‘Shaban Transform’ and its applications 新变换“沙板变换”及其应用
IF 2.3 Q2 MULTIDISCIPLINARY SCIENCES Pub Date : 2021-04-03 DOI: 10.1080/23080477.2021.1898796
R. A. Khudair, A. Albukhuttar, A. N. Alkiffai
ABSTRACT Integral transformation is useful for mathematical calculations, as it turns a complex problem into a simple one. It is easy to separate the properties of a given function from the parent function. After integration has been assigned. In this study, we present a new integral transformation called Shaban transform, which is used to solve ordinary differential equations with trigonometric functions as coefficients of the variable value and its applications in different engineering fields, the decay problems arise in the field of chemistry, physics, biology, social science, zoology. Explanatory properties and examples appear to show the productivity of its suitability in solving differential equations. ABSTRACT
积分变换在数学计算中很有用,因为它可以把复杂的问题变成简单的问题。从父函数中分离给定函数的属性是很容易的。在集成被分配之后。本文提出了一种新的积分变换——沙板变换,用于求解以三角函数为变量值系数的常微分方程,并将其应用于化学、物理、生物、社会科学、动物学等不同工程领域中出现的衰减问题。解释性性质和实例似乎显示了它在求解微分方程方面的适用性。摘要
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引用次数: 1
期刊
Smart Science
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