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A power function model for simulating creep mechanical properties of salt rock 被引量:2
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作者 LI Huan Ngaha Tiedeu WILLIAM +2 位作者 Jaak DAEMEN ZHOU Jun MA Chang-kun 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第2期578-591,共14页
In this paper,a new micro-creep model of salt rock is proposed based on a linear parallel bonded model(LPBM)using the two-dimensional particle flow code(PFC2D).The power function weakening form is assumed to describe ... In this paper,a new micro-creep model of salt rock is proposed based on a linear parallel bonded model(LPBM)using the two-dimensional particle flow code(PFC2D).The power function weakening form is assumed to describe the variation of the parallel bonded diameter(PBD)over time.By comparing with the parallel-bonded stress corrosion(PSC)model,a smaller stress fluctuation and smoother creep strain−time curves can be obtained by this power function model at the same stress level.The validity and adaptability of the model to simulate creep deformation of salt rock are verified through comparing the laboratory creep test curves and the Burgers model fitting result.The numerical results reveal that this model can be capable of capturing the creep deformation and damage behavior from the laboratory observations. 展开更多
关键词 salt rock creep damage particle flow code power function model
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Modeling Distortion Signals of Power Grid Based on Wiener-G Functionals
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作者 Xiao-Bing Zhang Yun-Hui Li Guo-Zhi Fang 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2014年第3期79-84,共6页
The uniform mathematical model of distortion signals in power grid has been setup with the theory of Wiener-G Functional. Firstly,the Matlab simulation models were established. Secondly,the Wiener kernel of power load... The uniform mathematical model of distortion signals in power grid has been setup with the theory of Wiener-G Functional. Firstly,the Matlab simulation models were established. Secondly,the Wiener kernel of power load was found based on the Gaussian white noise as input. And then the uniform mathematical model of the power grid signal was established according to the homogeneous of the same order of Wiener functional series. Finally,taking three typical distortion sources which are semiconductor rectifier,electric locomotive and electric arc furnace in power grid as examples,we have validated the model through the Matlab simulation and analyzed the simulation errors. The results show that the uniform mathematical model of distortion signals in power grid can approximation the actual model by growing the items of the series under the condition of the enough storage space and computing speed. 展开更多
关键词 electric energy measurement distortion signals model of power grid signal functional series Wiener kernel
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Computational Precision of the Power Function for Conditional Tests of Assumptions of the Rasch Model
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作者 Clemens Draxler Jan Philipp Nolte 《Open Journal of Statistics》 2018年第6期873-884,共12页
Draxler and Zessin [1] derived the power function for a class of conditional tests of assumptions of a psychometric model known as the Rasch model and suggested an MCMC approach developed by Verhelst [2] for the numer... Draxler and Zessin [1] derived the power function for a class of conditional tests of assumptions of a psychometric model known as the Rasch model and suggested an MCMC approach developed by Verhelst [2] for the numerical approximation of the power of the tests. In this contribution, the precision of the Verhelst approach is investigated and compared with an exact sampling procedure proposed by Miller and Harrison [3] for which the discrete probability distribution to be sampled from is exactly known. Results show no substantial differences between the two numerical procedures and quite accurate power computations. Regarding the question of computing time the Verhelst approach will have to be considered much more efficient. 展开更多
关键词 CONDITIONAL Tests CONDITIONAL PROBABILITY DISTRIBUTION HYPERGEOMETRIC DISTRIBUTION power function RANDOM Sampling RASCH model
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Exact Computer Modeling of Photovoltaic Sources with Lambert-W Explicit Solvers for Real-Time Emulation and Controller Verification
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作者 Abdulaziz Almalaq Ambe Harrison +2 位作者 Ibrahim Alsaleh Abdullah Alassaf Mashari Alangari 《Computer Modeling in Engineering & Sciences》 2026年第1期873-891,共19页
We present a computer-modeling framework for photovoltaic(PV)source emulation that preserves the exact single-diode physics while enabling iteration-free,real-time evaluation.We derive two closed-form explicit solvers... We present a computer-modeling framework for photovoltaic(PV)source emulation that preserves the exact single-diode physics while enabling iteration-free,real-time evaluation.We derive two closed-form explicit solvers based on the Lambert W function:a voltage-driven V-Lambert solver for high-fidelity I–V computation and a resistance-driven R-Lambert solver designed for seamless integration in a closed-loop PV emulator.Unlike Taylor-linearized explicit models,our proposed formulation retains the exponential nonlinearity of the PV equations.It employs a numerically stable analytical evaluation that eliminates the need for lookup tables and root-finding,all while maintaining limited computational costs and a small memory footprint.The R-Lambert model is integrated into a buck-converter emulator equipped with a discrete PI regulator,which generates current references directly from sensed operating points,thus supporting hardware-constrained implementation.Comprehensive numerical experiments conducted on six commercial modules from various technologies(mono,poly,and multicrystalline)demonstrate significant accuracy improvements under the IEC EN 50530 near-MPP criterion:the V-Lambert solver reduces the±10%Vmpp band error by up to 61 times compared to an explicit-model baseline.Dynamic simulations under varying irradiance,temperature,and load conditions achieve millisecond-scale settling with accurate trajectory tracking.Additionally,processor-in-the-loop experimental validation on an embedded microcontroller supports the simulation results.By unifying exact analytical modeling with embedded realization,this work advances computer modeling for PV emulation,MPPT benchmarking,and controller verification in integrated renewable energy systems. 展开更多
关键词 Photovoltaic emulators(PVE) explicit PV model(EPVM) IEC EN 50530 Lambert function maximum power point(MPP) PVE integration processor-in-the loop
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Lattice Boltzmann simulations of high-order statistics in isotropic turbulent flows
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作者 Guodong JIN Shizhao WANG +1 位作者 Yun WANG Guowei HE 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2018年第1期21-30,共10页
The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scal... The lattice Boltzmann method (LBM) is coupled with the multiple-relaxation- time (MRT) collision model and the three-dimensional 19-discrete-velocity (D3Q19) model to resolve intermittent behaviors on small scales in isotropic turbulent flows. The high- order scaling exponents of the velocity structure functions, the probability distribution functions of Lagrangian accelerations, and the local energy dissipation rates are investi- gated. The self-similarity of the space-time velocity structure functions is explored using the extended self-similarity (ESS) method, which was originally developed for velocity spatial structure functions. The scaling exponents of spatial structure functions at up to ten orders are consistent with the experimental measurements and theoretical results, implying that the LBM can accurately resolve the intermittent behaviors. This valida~ tion provides a solid basis for using the LBM to study more complex processes that are sensitive to small scales in turbulent flows, such as the relative dispersion of pollutants and mesoscale structures of preferential concentration of heavy particles suspended in turbulent flows. 展开更多
关键词 mesoscopic modelling lattice Boltzmann method (LBM) isotropic turbulent flow structure function intermittency high-order statistics SELF-SIMILARITY
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Study on Volterra-Laguerre behavioral model for RF power amplifier
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作者 南敬昌 Liu Yuanan Tang Bihua 《High Technology Letters》 EI CAS 2007年第4期390-394,共5页
Voherra series behavioral model for radio frequency (RF) power amplifier (PA) has been widely used in system-level simulation, however, high computational complexity makes this kind of model limited to "weak" no... Voherra series behavioral model for radio frequency (RF) power amplifier (PA) has been widely used in system-level simulation, however, high computational complexity makes this kind of model limited to "weak" nonlinearity. In order to reduce the computational complexity and the number of coefficients of Volterra series kernels, a Volterra series improved behavioral model based on Laguerre orthogonal polynomials function, namely Voherra-Laguerre behavioral model, is proposed. Mathematical expressions of Volterra-Laguerre behavioral model is derived, and accuracy of the model is verified through comparison of measured and simulation output data from a freescale PA using MRF21030 transistor. Mathematical analysis and simulation results show that Voherra-Laguerre behavioral model has a simple structure, much less coefficients and better modeling performance than general Volterra series model. The model can be used more correctly for system-level simulation of RF PA with wideband signal. 展开更多
关键词 Voherra series Laguerre orthogonal function RF power amplifier behavioral model
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Exact Dynamic Modeling of PWM DC-to-DC Power Converters—Part II: Discontinuous Conduction Mode
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作者 Justin Simmons Richard Tymerski 《Journal of Power and Energy Engineering》 2021年第5期48-62,共15页
This paper follows on from the first paper, Part I, where a general formulation of a describing function approach to frequency response determination of switched linear networks, such as PWM converters, was simplified... This paper follows on from the first paper, Part I, where a general formulation of a describing function approach to frequency response determination of switched linear networks, such as PWM converters, was simplified and updated. The models assume a piecewise linear state space equation description of the system and results in a closed form solution for the sought after frequency response. In Part I, model derivation was demonstrated for the case of PWM converters operating in the continuous conduction mode (CCM). This operating mode does not feature any state dependent switching times. In this paper, Part II, frequency response models for any transfer function for PWM converters operating in discontinuous conduction mode (DCM) are derived based on the theory presented in Part I. This operating model features state dependent switching times. The describing function models developed are exact and therefore, in terms of accuracy, are to be preferred over averaged models which are widely used. The example of a boost dc-to-dc converter operating in DCM is simulated to obtain the control to output and input to output frequency responses and are compared with the models derived here. Excellent agreement between the simulated and model responses was found. Matlab code implementing the analytical models is also presented which the user can adapt for any other PWM converter topology. The models derived here may be used as a basis from which simplified models may be derived while still preserving required accuracy. 展开更多
关键词 Describing function DC-to-DC Switching power Converter Small-Signal modeling Frequency Response
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Exact Dynamic Modeling of PWM DC-to-DC Power Converters—Part I: Continuous Conduction Mode
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作者 Justin Simmons Richard Tymerski 《Journal of Power and Energy Engineering》 2021年第5期26-47,共22页
A general approach is presented by which the exact frequency response of any transfer function of switched linear networks can be determined. This is achieved with a describing function approach using a state space eq... A general approach is presented by which the exact frequency response of any transfer function of switched linear networks can be determined. This is achieved with a describing function approach using a state space equation formulation. This work presents a somewhat simplified set of equations to <span style="font-family:Verdana;">one previously given by one of the authors. To demonstrate application of the general formulation, the frequency responses of switched networks used as</span><span style="font-family:Verdana;"> PWM DC-to-DC converters operating in continuous conduction mode (CCM) under voltage mode control are derived. (The accompanying paper, Part II, will present results for converters operating in discontinuous conduction mode (DCM)). From the general sets of equations developed here, both the control to output and input source variation to output frequency responses are derived. The describing function approach enables exact frequency response determination, even at high frequencies where the accuracy using average models may be compromised. Confirmation of the accuracy of the derived models is provided by comparing the responses with those obtained using the commercial simulator PSIM on a PWM boost converter. The magnitude and phase responses are shown to match perfectly over the full range of frequencies up to close to half the switching frequency. Matlab code that implements the models is given such that the user can easily adapt for use with other PWM converter topologies.</span> 展开更多
关键词 Describing function DC-to-DC Switching power Converter Small-Signal modeling Frequency Response
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Hybrid Power Bank Deployment Model for Energy Supply Coverage Optimization in Industrial Wireless Sensor Network
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作者 Hang Yang Xunbo Li Witold Pedrycz 《Intelligent Automation & Soft Computing》 SCIE 2023年第8期1531-1551,共21页
Energy supply is one of the most critical challenges of wireless sensor networks(WSNs)and industrial wireless sensor networks(IWSNs).While research on coverage optimization problem(COP)centers on the network’s monito... Energy supply is one of the most critical challenges of wireless sensor networks(WSNs)and industrial wireless sensor networks(IWSNs).While research on coverage optimization problem(COP)centers on the network’s monitoring coverage,this research focuses on the power banks’energy supply coverage.The study of 2-D and 3-D spaces is typical in IWSN,with the realistic environment being more complex with obstacles(i.e.,machines).A 3-D surface is the field of interest(FOI)in this work with the established hybrid power bank deployment model for the energy supply COP optimization of IWSN.The hybrid power bank deployment model is highly adaptive and flexible for new or existing plants already using the IWSN system.The model improves the power supply to a more considerable extent with the least number of power bank deployments.The main innovation in this work is the utilization of a more practical surface model with obstacles and training while improving the convergence speed and quality of the heuristic algorithm.An overall probabilistic coverage rate analysis of every point on the FOI is provided,not limiting the scope to target points or areas.Bresenham’s algorithm is extended from 2-D to 3-D surface to enhance the probabilistic covering model for coverage measurement.A dynamic search strategy(DSS)is proposed to modify the artificial bee colony(ABC)and balance the exploration and exploitation ability for better convergence toward eliminating NP-hard deployment problems.Further,the cellular automata(CA)is utilized to enhance the convergence speed.The case study based on two typical FOI in the IWSN shows that the CA scheme effectively speeds up the optimization process.Comparative experiments are conducted on four benchmark functions to validate the effectiveness of the proposed method.The experimental results show that the proposed algorithm outperforms the ABC and gbest-guided ABC(GABC)algorithms.The results show that the proposed energy coverage optimization method based on the hybrid power bank deployment model generates more accurate results than the results obtained by similar algorithms(i.e.,ABC,GABC).The proposed model is,therefore,effective and efficient for optimization in the IWSN. 展开更多
关键词 Industrial wireless sensor network hybrid power bank deployment model:energy supply coverage optimization artificial bee colony algorithm radio frequency numerical function optimization
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Imprecise Probability Method with the Power-Normal Model for Accelerated Life Testing
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作者 YIN Yichao HUANG Hongzhong LIU Zheng 《Journal of Shanghai Jiaotong university(Science)》 EI 2019年第6期805-810,共6页
We present a new nonparametric predictive inference(NPI)method using a power-normal model for accelerated life testing(ALT).Combined with the accelerating link function and imprecise probability theory,the proposed me... We present a new nonparametric predictive inference(NPI)method using a power-normal model for accelerated life testing(ALT).Combined with the accelerating link function and imprecise probability theory,the proposed method is a feasible way to predict the life of the product using ALT failure data.To validate the method,we run a series of simulations and conduct accelerated life tests with real products.The NPI lower and upper survival functions show the robustness of our method for life prediction.This is a continuous research,and some progresses have been made by updating the link function between different stress levels.We also explain how to renew and apply our model.Moreover,discussions have been made about the performance. 展开更多
关键词 accelerated life testing(ALT) power-normal model lower and upper survival functions nonparametric predictive inference(NPI) imprecise probability
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The compound class of exponentiated power Lindley power series distribution:properties and applications
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作者 Morad Alizadeh Seyed Fazel Bagher +2 位作者 HOU Jun-cheng Saralees Nadarajah Ali Shaban 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第2期255-275,共21页
We introduce a new generalization of the exponentiated power Lindley distribution,called the exponentiated power Lindley power series(EPLPS)distribution.The new distribution arises on a latent complementary risks scen... We introduce a new generalization of the exponentiated power Lindley distribution,called the exponentiated power Lindley power series(EPLPS)distribution.The new distribution arises on a latent complementary risks scenario,in which the lifetime associated with a particular risk is not observable;rather,we observe only the maximum lifetime value among all risks.The distribution exhibits decreasing,increasing,unimodal and bathtub shaped hazard rate functions,depending on its parameters.Several properties of the EPLPS distribution are investigated.Moreover,we discuss maximum likelihood estimation and provide formulas for the elements of the Fisher information matrix.Finally,applications to three real data sets show the flexibility and potentiality of the EPLPS distribution. 展开更多
关键词 exponentiated power Lindley distribution Fisher's information matrix hazard rate function model selection criteria power series distributions residual life function
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Safety-Certified Parallel Model Predictive Control of Autonomous Surface Vehicles via Neurodynamic Optimization
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作者 Guanghao Lyu Zhouhua Peng Jun Wang 《IEEE/CAA Journal of Automatica Sinica》 2025年第10期2056-2066,共11页
This paper addresses the parallel control of autonomous surface vehicles subject to external disturbances,state constraints,and input constraints in complex ocean environments with multiple obstacles.A safety-certifie... This paper addresses the parallel control of autonomous surface vehicles subject to external disturbances,state constraints,and input constraints in complex ocean environments with multiple obstacles.A safety-certified parallel model predictive control scheme with collision-avoiding capability is proposed for autonomous surface vehicles in the framework of parallel control.Specifically,an extended state observer is designed by leveraging historical and real-time data for concurrent learning to map the motion of autonomous surface vehicles from its physical system to its artificial counterpart.A parallel model predictive control law is developed on the basis of the artificial system for both physical and artificial autonomous surface vehicles to realize virtual-physical tracking control of vehicles subject to state and input constraints.To ensure safety,highorder discrete control barrier functions are encoded in the parallel model predictive control law as safety constraints such that collision avoidance with obstacles can be achieved.A recedinghorizon constrained optimization problem is constructed with the safety constraints encoded by control barrier functions for parallel model predictive control of autonomous surface vehicles and solved via neurodynamic optimization with projection neural networks.The effectiveness and characteristics of the proposed method are demonstrated via simulations for the safe trajectory tracking and automatic berthing of autonomous surface vehicles. 展开更多
关键词 Autonomous surface vehicles(ASVs) high-order control barrier functions neurodynamic optimization parallel model predictive control safety-certified control
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电流参考型虚拟同步机模型预测控制策略
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作者 麻霄 何国锋 +3 位作者 程珍珍 王鸿玉 杨洁瑞 李睿 《电力系统及其自动化学报》 北大核心 2026年第1期51-59,72,共10页
针对虚拟同步机(virtual synchronous generator,VSG)在有功功率指令突变与电网频率波动两种工况下有功功率动态响应不足与系统频率跟随性能差的问题,提出一种电流参考型VSG与模型预测控制相结合的策略来改善有功功率和频率的整体性能... 针对虚拟同步机(virtual synchronous generator,VSG)在有功功率指令突变与电网频率波动两种工况下有功功率动态响应不足与系统频率跟随性能差的问题,提出一种电流参考型VSG与模型预测控制相结合的策略来改善有功功率和频率的整体性能。首先,求出调节输出电流动态响应的调制电动势与模拟同步电机的同步电动势;其次,在频率波动时构建角频率偏差和VSG的q轴输入电流偏差为优化目标的预测模型,并提出一种利用对数函数构造自适应权重系数的方法,通过实时检测频率偏差动态调整角频率的权重系数,在保证调节成本可控的前提下显著提升了频率响应速度;然后,结合二次规划算法求解最优控制序列,实现对VSG输入电流的动态补偿;最后,通过仿真和实验验证所提控制方法的有效性和可行性。结果表明,所提出的方法能够有效改善有功功率的动态响应,减少功率超调,频率恢复时间缩短约30%。 展开更多
关键词 虚拟同步机 模型预测控制 权重函数 频率调节 功率调节
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660 MW火电机组全工况下凝结水节流动态模型的研究
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作者 卫龙飞 陈伟威 +1 位作者 郭志鹏 韩晓明 《现代电子技术》 北大核心 2026年第2期87-94,共8页
为解决火电机组中凝结水节流模型难以兼顾准确性、快速性和泛化性的问题,提出一种结合机理建模和数据驱动建模的混合建模方法,深入分析了凝结水节流对除氧器内部压力的动态影响,并引入参数辨识技术。首先,根据凝结水节流系统的动态特性... 为解决火电机组中凝结水节流模型难以兼顾准确性、快速性和泛化性的问题,提出一种结合机理建模和数据驱动建模的混合建模方法,深入分析了凝结水节流对除氧器内部压力的动态影响,并引入参数辨识技术。首先,根据凝结水节流系统的动态特性和静态特性,建立准确性高的复杂机理模型;其次,在保证模型精准度的前提下,借助数据驱动方法找到复杂模块中某些复杂变量之间的关系,降低模型的复杂度并提高模型的快速性;最终,采用粒子群优化(PSO)算法,根据所提出的关于负荷、除氧器容积和压力偏差的适应度函数,对不同工况下模型中未知参数进行辨识,提高模型的泛化性。仿真结果表明,在260 MW和450 MW工况下,所提模型的均方根误差(RMSE)、Pearson相关系数等评价指标均有较好表现。证明该模型具有较高的准确性、快速性和泛化性。 展开更多
关键词 火电机组 凝结水节流系统 动态模型 机理建模 数据驱动建模 粒子群优化算法 适应度函数
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基于MBSE的氢能源动力飞机适航基础分析
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作者 马立群 刘锦周 刘子腾 《系统工程与电子技术》 北大核心 2026年第1期198-208,共11页
为解决现有民用航空器适航规章对氢能源动力飞机的设计特征存在潜在适用性差异和覆盖性不全问题,对氢能源动力飞机适航基础分析。首先,以民用航空正常类飞机适航规章为基础,运用基于模型的系统工程(model-based systems engineering,MB... 为解决现有民用航空器适航规章对氢能源动力飞机的设计特征存在潜在适用性差异和覆盖性不全问题,对氢能源动力飞机适航基础分析。首先,以民用航空正常类飞机适航规章为基础,运用基于模型的系统工程(model-based systems engineering,MBSE)方法,利用系统建模语言构建了适航条款自动化分析框架。然后,基于给定的适航条款适用性分析准则与流程,对3类不同氢能源飞机进行了架构分析与适航需求对比。研究结果表明,MBSE方法能够为氢能源动力飞机的设计和适航审定提供有效的决策支持,提升审定效率。所提方法可以兼顾优先性、一致性和正确性,确保适用性判断准确可靠,避免经验判断误差。 展开更多
关键词 氢能源动力 适航规章模型 基于模型的系统工程 物理-功能映射 自动化分析
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锂离子电池加速模型研究
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作者 陈丹丹 夏玉佳 +2 位作者 吴欢欢 宋林霏 朱振东 《电池工业》 2026年第1期24-29,共6页
在不同温度(35℃、45℃、55℃)、不同倍率(0.5 C、1 C、1.5 C)下进行磷酸铁锂-石墨电池的循环寿命测试,研究这些加速因子对循环寿命的影响,构建加速模型。研究结果表明,在不同加速因子下的循环测试均出现容量跳水现象,容量衰减曲线符合... 在不同温度(35℃、45℃、55℃)、不同倍率(0.5 C、1 C、1.5 C)下进行磷酸铁锂-石墨电池的循环寿命测试,研究这些加速因子对循环寿命的影响,构建加速模型。研究结果表明,在不同加速因子下的循环测试均出现容量跳水现象,容量衰减曲线符合双幂次函数。基于双幂次函数对容量衰减曲线进行拟合,提取寿命特征参数,建立电池在温度和倍率条件下的加速模型。不同温度下,寿命特征参数与温度符合阿伦尼乌斯关系;不同倍率下,寿命特征参数的对数与倍率符合线性关系。利用加速模型可得到电池在低加速条件下的衰减规律,可提前预测电池的循环寿命,温度加速模型和倍率加速模型的误差分别为7.4%和4.0%。 展开更多
关键词 加速模型 容量跳水 双幂次函数 循环寿命
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Analytical Modeling and Determination of the Characteristic Parameters of the Different Commercial Technologies of Photovoltaic Modules 被引量:1
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作者 Ahmed Sidibba Diene Ndiaye +1 位作者 Menny El Bah Sidi Bouhamady 《Journal of Power and Energy Engineering》 2018年第3期14-27,共14页
This work presents a method of optimization of the photovoltaic generator (PV) based on the electrical model with a diode. The method consists of solving a second degree equation representing the derivative of the pow... This work presents a method of optimization of the photovoltaic generator (PV) based on the electrical model with a diode. The method consists of solving a second degree equation representing the derivative of the power function. The current and the maximum voltage being determined, the maximum power is deduced. Four popular types of photovoltaic panels from different manufacturers were considered for the study: BYD Model (BYD 320P6C-36), Atersa Grupo Model (A-320P GSE), SunPower Model (E19-320) and Model operated in the 50 MW power plant of Nouakchott-Mauritania (JKM320PP-72-V) of JinkoSolar. A comparative study is carried out between the simulated results and the data of the manufacturer of different technologies. The results obtained prove the effectiveness of the proposed method and that the BYD 320P6C-36 model is the most efficient among the four different technologies studied. 展开更多
关键词 model PHOTOVOLTAIC GENERATOR power function Optimization MAXIMUM power
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Prediction of a maximum pull-out load of anchor bolts using an optimal combination model 被引量:1
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作者 Ma Wenjie Wang Binglong +1 位作者 Wang Xu Wang Bolin 《Journal of Southeast University(English Edition)》 EI CAS 2021年第2期199-208,共10页
The mixed model of improved exponential and power function and unequal interval gray GM(1,1)model have poor accuracy in predicting the maximum pull-out load of anchor bolts.An optimal combination model was derived usi... The mixed model of improved exponential and power function and unequal interval gray GM(1,1)model have poor accuracy in predicting the maximum pull-out load of anchor bolts.An optimal combination model was derived using the optimally weighted combination theory and the minimum sum of logarithmic squared errors as the objective function.Two typical anchor bolt pull-out engineering cases were selected to compare the performance of the proposed model with those of existing ones.Results showed that the optimal combination model was suitable not only for the slow P-s curve but also for the steep P-s curve.Its accuracy and stable reliability,as well as its prediction capability classification,were better than those of the other prediction models.Therefore,the optimal combination model is an effective processing method for predicting the maximum pull-out load of anchor bolts according to measured data. 展开更多
关键词 anchor bolt maximum pull-out load mixed model of improved exponential and power function(MIEPF)model unequal interval gray GM(1 1)model optimal combination model
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Wind Farm Coordinated Control for Power Optimization 被引量:12
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作者 SHU Jin HAO Zhiguo +1 位作者 ZHANG Baohui BO Zhiqian 《中国电机工程学报》 EI CSCD 北大核心 2011年第34期I0002-I0002,4,共1页
以降低风电场尾流损失、优化风场出力为目标,设计基于Laguerre函数非线性预测控制(nonlinear modelpredictive control,NLMPC)方案的风场集群控制器。该控制器应用风场动态尾流模型,通过NLMPC统一调整风场内各机组转速以提升风场功率... 以降低风电场尾流损失、优化风场出力为目标,设计基于Laguerre函数非线性预测控制(nonlinear modelpredictive control,NLMPC)方案的风场集群控制器。该控制器应用风场动态尾流模型,通过NLMPC统一调整风场内各机组转速以提升风场功率。在控制器设计中,使用有效风速预测误差校正对预测模型失配及超短期风速预测误差进行补偿,引入Laguerre函数降低滚动时域优化计算负担并分析了控制器对风速预测误差的鲁棒性能。仿真研究表明,集群控制器能够在不同风速条件下提升风场功率、降低优化计算负担,且对风速预测模型失配与风场自然风速预测误差具有鲁棒性。 展开更多
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K-power双线性系统基于Laguerre函数的保结构模型降阶方法 被引量:1
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作者 金辉 肖志华 祁振中 《应用数学》 北大核心 2023年第4期929-939,共11页
针对K-power双线性系统,提出一种基于Laguerre函数的保结构模型降阶方法.该方法首先将K-power双线性系统转化为一般的双线性系统,再利用矩阵指数函数的Laguerre函数展开,计算出双线性系统交叉Gram矩阵的近似低秩因子,从而构造K-power双... 针对K-power双线性系统,提出一种基于Laguerre函数的保结构模型降阶方法.该方法首先将K-power双线性系统转化为一般的双线性系统,再利用矩阵指数函数的Laguerre函数展开,计算出双线性系统交叉Gram矩阵的近似低秩因子,从而构造K-power双线性系统各子系统相应的投影变换,进而生成该系统的近似平衡系统.然后,通过截断较小的奇异值对应的状态,得到降阶模型.该降阶过程计算高效,且具有一定的自适应性.最后,数值实验验证了算法的有效性. 展开更多
关键词 模型降阶 K-power双线性系统 LAGUERRE函数 交叉Gram矩阵
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