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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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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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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
关键词 英文摘要 内容介绍 编辑工作 期刊
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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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Novel extended C-m models of flow stress for accurate mechanical and metallurgical calculations and comparison with traditional flow models
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作者 Man Soo Joun Mohd Kaswandee Razali +2 位作者 Jae Dong Yoo Min Cheol Kim Jeong Muk Choi 《Journal of Magnesium and Alloys》 SCIE EI CAS CSCD 2022年第9期2516-2533,共18页
Here,we developed novel extended piecewise bilinear power law(C-m)models to describe flow stresses under broad ranges of strain,strain rate,and temperature for mechanical and metallurgical calculations during metal fo... Here,we developed novel extended piecewise bilinear power law(C-m)models to describe flow stresses under broad ranges of strain,strain rate,and temperature for mechanical and metallurgical calculations during metal forming at elevated temperatures.The traditional C-m model is improved upon by formulating the material parameters C and m,defined at sample strains and temperatures as functions of the strain rate.The coefficients are described as a linear combination of the basis functions defined in piecewise patches of the sample strain and temperature domain.A comparison with traditional closed-form function flow models revealed that our approach using the extended piecewise bilinear C-m model is superior in terms of accuracy,ease of use,and adaptability;additionally,the extended C-m model was applicable to numerical analysis of mechanical,metallurgical,and microstructural problems.Moreover,metallurgy-related values can be calculated directly from the flow stress information.Although the proposed model was developed for materials at elevated temperatures,it can be applied over a broad temperature range. 展开更多
关键词 Flow stress power law model Piecewise bilinear function Numerical analysis Microstructural prediction Peak strain
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On Impulse Switching Functions of Inverters as an Orthogonal System
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作者 B. Dobrucky M. Pokomy M. Benova 《Journal of Mathematics and System Science》 2014年第12期743-749,共7页
The paper deals with impulse switching function which are used as exciting functions of one- and multidimensional state-space models of power electronic converters. Obviously, these functions are harmonic but using po... The paper deals with impulse switching function which are used as exciting functions of one- and multidimensional state-space models of power electronic converters. Obviously, these functions are harmonic but using power converters they can be strongly non-harmonic, sometimes piecewise constants with zero spaces between them. Then, one deals with power series of time pulses. The impulse switching functions which are orthogonal ones can be derived from these series. The new impulse switching functions are created using Z-transform, inverse Z-transform and numerical series/sequences. The impulse switching functions created this way can be used for both steady- and transient state investigation of converters. 展开更多
关键词 power converter impulse switching function Z-TRANSFORM inverse Z-transform modelling and simulation steady stateoperation
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Short-pulse high-power microwave breakdown at high pressures
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作者 赵朋程 廖成 冯菊 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第2期282-286,共5页
The fluid model is proposed to investigate the gas breakdown driven by a short-pulse(such as a Gaussian pulse) highpower microwave at high pressures.However,the fluid model requires specification of the electron ene... The fluid model is proposed to investigate the gas breakdown driven by a short-pulse(such as a Gaussian pulse) highpower microwave at high pressures.However,the fluid model requires specification of the electron energy distribution function(EEDF);the common assumption of a Maxwellian EEDF can result in the inaccurate breakdown prediction when the electrons are not in equilibrium.We confirm that the influence of the incident pulse shape on the EEDF is tiny at high pressures by using the particle-in-cell Monte Carlo collision(PIC-MCC) model.As a result,the EEDF for a rectangular microwave pulse directly derived from the Boltzmann equation solver Bolsig+ is introduced into the fluid model for predicting the breakdown threshold of the non-rectangular pulse over a wide range of pressures,and the obtained results are very well matched with those of the PIC-MCC simulations.The time evolution of a non-rectangular pulse breakdown in gas,obtained by the fluid model with the EEDF from Bolsig+,is presented and analyzed at different pressures.In addition,the effect of the incident pulse shape on the gas breakdown is discussed. 展开更多
关键词 fluid model electron energy distribution function gas breakdown short-pulse high-power microwave
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社会风险治理的中国式现代化适切与契洽——生态型秩序要素功能凝聚及模式建构 被引量:6
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作者 胡锐军 《上海大学学报(社会科学版)》 北大核心 2025年第2期108-123,共16页
日益凸显的社会风险复杂性对既有的治理理念和实践模式提出了新的挑战,契合中国式现代化的本质要求,建构社会风险治理的生态政治模式或将是一种创榛辟莽的新径。其逻辑基础在于历史所印、理论所证和实践所需。建构路径即根据社会秩序原... 日益凸显的社会风险复杂性对既有的治理理念和实践模式提出了新的挑战,契合中国式现代化的本质要求,建构社会风险治理的生态政治模式或将是一种创榛辟莽的新径。其逻辑基础在于历史所印、理论所证和实践所需。建构路径即根据社会秩序原理,借鉴生态法则所投射的自然法则,对社会秩序的构成要素加注生态性含量并实现其功能的凝聚:秩序载体上,建设生态型组织并提升其自我净化、自我修复功能;秩序规范上,增强生态型制度的韧性与弹性;秩序力上,强化生态型权力生长目标、生长路径和生长动力导引。 展开更多
关键词 社会风险 生态型 载体 规范 秩序力 功能凝聚 模式建构
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结合有限集模型预测的改进下垂功率均分策略 被引量:1
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作者 程勇 周江浩 杜光辉 《燕山大学学报》 北大核心 2025年第3期219-228,共10页
针对低压微电网中并联逆变器由于线路阻抗参数不匹配造成有功功率分配失衡,以及有限集模型预测控制多目标优化权重系数设计复杂问题,提出一种结合有限集模型预测的改进下垂控制策略。首先通过改进传统下垂控制,实现有功功率精确分配。... 针对低压微电网中并联逆变器由于线路阻抗参数不匹配造成有功功率分配失衡,以及有限集模型预测控制多目标优化权重系数设计复杂问题,提出一种结合有限集模型预测的改进下垂控制策略。首先通过改进传统下垂控制,实现有功功率精确分配。其次添加电压恢复机制补偿负载突变带来的电压降落。然后结合有限集模型预测控制,提高系统动态响应速度,并在成本函数中利用电压电流串行评估,消除权重系数配置。最后仿真和实验结果表明,所提策略能够实现有功功率精确分配,补偿了电压降落,实现了逆变器的稳定运行。 展开更多
关键词 并联逆变器 下垂控制 功率均分 模型预测控制 成本函数 权重系数
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广西钦州湾桐花树生物量模型构建与评价
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作者 欧芷阳 张继辉 +4 位作者 庞世龙 韦海航 杨景竣 梁萍 刘秀 《广西林业科学》 2025年第3期287-293,共7页
为快速、准确估算广西钦州湾桐花树(Aegiceras corniculatum)生物量,采用全株收获法获取桐花树树干、叶、根、地上和总生物量,以基径(D)和树高(H)2个因子及其衍生的多个组合变量为预测变量,构建桐花树各生物量幂函数和线性预测模型,并... 为快速、准确估算广西钦州湾桐花树(Aegiceras corniculatum)生物量,采用全株收获法获取桐花树树干、叶、根、地上和总生物量,以基径(D)和树高(H)2个因子及其衍生的多个组合变量为预测变量,构建桐花树各生物量幂函数和线性预测模型,并对模型拟合和预测效果进行评价。结果表明,在单变量预测模型中,树干、地上和总生物量与H的相关性均较强,以H为自变量的两种模型的决定系数(R^(2))和预估精度(P)均较高,模型平均相对误差(MRE)和相对均方根误差(RRMSE)均较低,表明H对上述生物量的拟合效果均较优;D对叶生物量的拟合效果优于H。组合变量预测模型的拟合效果优于单变量预测模型。DH^(2)与树干、根、地上和总生物量的相关性均较强;以DH^(2)为自变量的树干、根和总生物量线性模型的R^(2)和P均最高,MRE和RRMSE在同类模型中均较低,预测效果最佳;以DH^(2)为自变量的地上生物量幂函数模型的R^(2)和P均最高,MRE和RRMSE在同类模型中均较低,预测效果最佳。DH与叶生物量的相关性较强,以DH为自变量的叶生物量幂函数模型的R^(2)和P均最高,MRE和RRMSE均最低,预测效果最佳。结合R^(2)和3个评价指标,桐花树树干、根和总生物量最佳预测模型均为以DH^(2)为自变量的线性模型;桐花树地上生物量最佳预测模型为以DH^(2)为自变量的幂函数模型;桐花树叶生物量最佳预测模型为以DH为自变量的幂函数模型。 展开更多
关键词 生物量 线性模型 幂函数模型 桐花树
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