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A power function model for simulating creep mechanical properties of salt rock 认领 引用 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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Reserve evaluation of high pressure and ultra-high pressure reservoirs with power function material balance method 认领 引用 被引量:1
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作者 Sun Hedong Wang Hongyu +6 位作者 Zhu Songbai Nie Haifeng Liu Yang Li Yuanjie Li Songlin Cao Wen Chang Baohua 《Natural Gas Industry B》 2019年第5期509-516,共8页
It is difficult to determine the effective reservoir rock compressibility,aquifer volume and water influx of high pressure and ultra-high pressure gas reservoirs,so when the traditional apparent reservoir pressure and... It is difficult to determine the effective reservoir rock compressibility,aquifer volume and water influx of high pressure and ultra-high pressure gas reservoirs,so when the traditional apparent reservoir pressure and cumulative gas production curve extrapolation method and its modified version are used to calculate the initial gas in-place of such gas reservoirs,the calculation accuracy is lower.The material balance equation in the form of power function for such gas reservoirs was established based on Gonzalez method to improve the accuracy and reliability of reserve evaluation.Then,based on 20 high pressure and ultra-high pressure reservoirs that had been developed abroad,the empirical value of the power exponent was defined,and the influences of the depletion degree of apparent reservoir pressure and the degree of reserve recovery on the reliability of reserve calculation were analyzed.Besides,the critical value of the key parameter affecting the reliability of reserve evaluation(depletion degree of apparent reservoir pressure)was determined and compared with the critical value of the two-linear trends.Finally,an example calculation was carried out.And the following research results were obtained.First,the empirical value of the power exponent calculated using the material balance method in the form of power function is 1.02847,with an upper limit of 1.11567.Second,the depletion degree of apparent reservoir pressure corresponding to the inflection point of the classical two-linear trends ranges from 0.14 to 0.38 with an average of 0.23,while that corresponding to the extrapolation point of the second straight line is between 0.23 and 0.50 with an average of 0.33,and the corresponding degree of reserve recovery is in the range of 33%-65%with an average of 45%.Third,the reserves of such high pressure gas reservoirs calculated with this new method has an error rate less than 10%if the depletion degree of apparent reservoir pressure is greater than 0.33.In conclusion,for such high pressure gas reservoirs and the stress-sensitive fractured gas reservoirs,the material balance method in the form of power function proposed in this paper can avoid the uncertainty parameters(e.g.effective reservoir rock compressibility,aquifer volume and water influx)and it is advantageous with simple calculation process,better practicability and small error. 展开更多
关键词 High pressure and ultra-high pressure gas reservoir Reservoir Effective rock compressibility Depletion degree of apparent reservoir pressure Cu-mulative gas production Material balance method in the form of power function Initial gas in-place
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General solutions of plane problem for power function curved cracks 认领 引用 被引量:1
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作者 郭俊宏 袁泽帅 卢子兴 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第5期563-570,共8页
A new exact and universal conformal mapping is proposed. Using Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natu... A new exact and universal conformal mapping is proposed. Using Muskhelishvili's complex potential method, the plane elasticity problem of power function curved cracks is investigated with an arbitrary power of a natural number, and the general solutions of the stress intensity factors (SIFs) for mode I and mode II at the crack tip are obtained under the remotely uniform tensile loads. The present results can be reduced to the well-known solutions when the power of the function takes different natural numbers. Numerical examples are conducted to reveal the effects of the coefficient, the power, and the projected length along the x-axis of the power function curved crack on the SIFs for mode I and mode II. 展开更多
关键词 power function curved crack conformal mapping Muskhelishvili's complex potential method stress intensity factor (SIF) plane problem
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The invariant of the stiffness filter function with the weight filter function of the power function form 认领 引用
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作者 Zhen Shang Yun-Kang Sui 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2012年第6期1617-1619,共3页
Based on the independent, continuous and map- ping (ICM) method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter f... Based on the independent, continuous and map- ping (ICM) method and homogenization method, a research model is constructed to propose and deduce a theorem and corollary from the invariant between the weight filter func- tion and the corresponding stiffness filter function of the form of power function. The efficiency in searching for op- timum solution will be raised via the choice of rational filter functions, so the above mentioned results are very important to the further study of structural topology optimization. 展开更多
关键词 ICM method Filter function Power function Invariant
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Asymptotic Expansion of Standardized χp(n) Distribution and Power Function of χp(n)-Test 认领 引用
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作者 HU Hongchang HU Minbo 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2023年第4期291-298,共8页
Suppose that Y follows a χp-distribution with n degrees of freedom, and Z is the standardized form of Y. Let f(z,n,p) and F(z,n,p) denote the density function and the distribution function of Z, respectively. In t... Suppose that Y follows a χp-distribution with n degrees of freedom, and Z is the standardized form of Y. Let f(z,n,p) and F(z,n,p) denote the density function and the distribution function of Z, respectively. In this paper, we obtain the asymptotic expansion for f(z,n,p) and F(z,n,p). The validity of these results is illuminated by some numerical examples. We also investigate the power function of χp-test by the asymptotic expansion. 展开更多
关键词 P-norm distribution χp-distribution asymptotic expansion χp-test power function
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Comments on “General solutions of plane problem for power function curved cracks” 认领 引用
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作者 陈宜周 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第8期1093-1094,共2页
An error has been found in Ref. [1]. In the case of n = 2, authors of Ref. [1] suggested the following conformal mapping function:
关键词 General solutions of plane problem for power function curved cracks Comments on
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Control Charts for the Shape Parameter of Power Function Distribution under Different Classical Estimators 认领 引用 被引量:2
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作者 Azam Zaka Ahmad Saeed Akhter +1 位作者 Riffat Jabeen Aamir Sanaullah 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第6期1201-1223,共23页
In practice,the control charts for monitoring of process mean are based on the normality assumption.But the performance of the control charts is seriously affected if the process of quality characteristics departs fro... In practice,the control charts for monitoring of process mean are based on the normality assumption.But the performance of the control charts is seriously affected if the process of quality characteristics departs from normality.For such situations,we have modified the already existing control charts such as Shewhart control chart,exponentially weighted moving average(EWMA)control chart and hybrid exponentially weighted moving average(HEWMA)control chart by assuming that the distribution of underlying process follows Power function distribution(PFD).By considering the situation that the parameters of PFD are unknown,we estimate them by using three classical estimation methods,i.e.,percentile estimator(P.E),maximum likelihood estimator(MLE)and modified maximum likelihood estimator(MMLE).We construct Shewhart,EWMA and HEWMA control charts based on P.E,MLE and MMLE.We have compared all these control charts using Monte Carlo simulation studies and concluded that HEWMA control chart under MLE is more sensitive to detect an early shift in the shape parameter when the distribution of the underlying process follows power function distribution. 展开更多
关键词 Average run length control chart percentile estimator power function distribution
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Study on Prediction Method of Structural Three-parameter Power Function P-S-N Curve 认领 引用
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作者 LIU Yujie DAI Zongmiao 《International Journal of Plant Engineering and Management》 2018年第2期65-70,共6页
This paper applies weighted least square method to estimate the three-parameter power function equation of the fatigue life curve, and uses comprehensive fatigue life coefficient to correct the equation, and at the sa... This paper applies weighted least square method to estimate the three-parameter power function equation of the fatigue life curve, and uses comprehensive fatigue life coefficient to correct the equation, and at the same time combines probability statistics method to bring out the prediction method of structure's three- parameter power function P-S-N curve, finally applies the prediction method to a ship's frame-type elevate, based on the fatigue test data of it's material-SA06 aluminium alloy, to obtain it's structure's three-parameter power function P-S-N curve. Compared with the conventional least square method, the presented method can give 展开更多
关键词 P-S-N curve comprehensive fatigue life coefficient three-parameter power function fatigue life
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On the Solutions of an Equation Involving the Smarandache Power Function SP(n) 认领 引用
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作者 PAN Xiao-wei 《Chinese Quarterly Journal of Mathematics》 北大核心 2008年第3期437-441,共5页
For any positive integer n, the famous Smarandache power function SP(n) is defined as the smallest positive integer m such that n|m^m, where m and n have the same prime divisors. The main purpose of this paper is u... For any positive integer n, the famous Smarandache power function SP(n) is defined as the smallest positive integer m such that n|m^m, where m and n have the same prime divisors. The main purpose of this paper is using the elementary methods to study the positive integer solutions of an equation involving the Smarandache power function SP(n) and obtain some interesting results. At the same time, we give an open problem about the related equation. 展开更多
关键词 Smarandache power function equation positive integer solutions
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Series Representation of Power Function 认领 引用
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作者 Petro Kolosov 《Applied Mathematics》 2016年第3期327-333,共7页
This paper presents the way to make expansion for the next form function: to the numerical series. The most widely used methods to solve this problem are Newtons Binomial Theorem and Fundamental Theorem of Calculus (t... This paper presents the way to make expansion for the next form function: to the numerical series. The most widely used methods to solve this problem are Newtons Binomial Theorem and Fundamental Theorem of Calculus (that is, derivative and integral are inverse operators). The paper provides the other kind of solution, except above described theorems. 展开更多
关键词 Series Expansion Series Representation Binomial Theorem Power Function Cube Number Number to Power
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Quantifying the short-term dynamics of soil organic carbon decomposition using a power function model 认领 引用
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作者 Weiping Zhou Jinhong He +1 位作者 Dafeng Hui Weijun Shen 《Ecological Processes》 SCIE EI 2017年第1期100-108,共9页
Introduction:Soil heterotrophic respiration(Rh,an indicator of soil organic carbon decomposition)is an important carbon efflux of terrestrial ecosystems.However,the dynamics of soil Rh and its empirical relations with... Introduction:Soil heterotrophic respiration(Rh,an indicator of soil organic carbon decomposition)is an important carbon efflux of terrestrial ecosystems.However,the dynamics of soil Rh and its empirical relations with climatic factors have not been well understood.Methods:We incubated soils of three subtropical forests at five temperatures(10,17,24,31,and 38°C)and five moistures(20,40,60,80,and 100%water holding capacity(WHC))over 90 days.Rh was measured throughout the course of the incubation.Three types of models(log-linear,exponential,and power model)were fitted to the measurements and evaluated based on the coefficient of determination(r2)and Akaike Information Criterion(AIC)of the model.Further regression analysis was used to derive the empirical relations between model parameters and the two climatic factors.Results:Among the three models,the power function model(Rh=R1 t−k)performed the best in fitting the descending trend of soil Rh with incubation time(r2>0.69 for 26 of 30 models).Both R1 and k generally increased linearly with soil temperature but varied quadratically with soil moisture in the three forest soils.Conclusions:This study demonstrated that the power function model was much more accurate than the exponential decay model in describing the decomposition dynamics of soil organic carbon(SOC)in mineral soils of subtropical forests.The empirical relations and parameter values derived from this incubation study may be incorporated into process-based ecosystem models to simulate Rh responses to climate changes. 展开更多
关键词 Soil respiration Subtropical forest Moisture Temperature Power function Climate change
The Analytic Solution of Schrdinger Equation with Potential Function Superposed by Six Terms with Positive-power and Inverse-power Potentials 认领 引用
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作者 HU Xian-Quan LUO Guang +2 位作者 CUI Li-Peng LI Fang-Yu NIU Lian-Bin 《Communications in Theoretical Physics》 SCIE CAS 2009年第3期419-423,共5页
The analytic solution of the radial Schrodinger equation is studied by using the tight coupling condition of several positive-power and inverse-power potential functions in this article. Furthermore, the precisely ana... The analytic solution of the radial Schrodinger equation is studied by using the tight coupling condition of several positive-power and inverse-power potential functions in this article. Furthermore, the precisely analytic solutions and the conditions that decide the existence of analytic solution have been searched when the potential of the radial Schrodinger equation is V(r) =α1r^8 +α2r^3 + α3r^2 +β3r^-1 +β2r^-3 +β1r6-4. Generally speaking, there is only an approximate solution, but not analytic solution for SchrSdinger equation with several potentials' superposition. However, the conditions that decide the existence of analytic solution have been found and the analytic solution and its energy level structure are obtained for the Schrodinger equation with the potential which is motioned above in this paper. According to the single-value, finite and continuous standard of wave function in a quantum system, the authors firstly solve the asymptotic solution through the radial coordinate r → ∞ and r →0; secondly, they make the asymptotic solutions combining with the series solutions nearby the neighborhood of irregular singularities; and then they compare the power series coefficients, deduce a series of analytic solutions of the stationary state wave function and corresponding energy level structure by tight coupling among the coefficients of potential functions for the radial SchrSdinger equation; and lastly, they discuss the solutions and make conclusions. 展开更多
关键词 power potential function radial wave function asymptotic solution analytic solution
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Analysis of Stability and Large Deflection Buckle of Rolled Strip by Third Power B-Spline Function Method 认领 引用
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作者 Bian Yuhong 《Journal of Iron and Steel Research International》 SCIE CAS 1997年第2期24-28,共5页
A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the bu... A new method——the third power B-spline function method is developed to analyse the stability and the buckle of rolled strip under residual stress.The large deflection theory of thin plate is used to calculate the buckle of rolled strip and criterion of critical buckle is given.The computed results tally with those of experiment well,which provides theoretical basis and method for developing the mathematical model of flatness control. 展开更多
关键词 flatness control large deflection buckle critical buckle third power B-spline function
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Modeling Distortion Signals of Power Grid Based on Wiener-G Functionals 认领 引用
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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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Polynomial Functions Composed of Terms with Non-Integer Powers 认领 引用
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作者 Serdar Beji 《Advances in Pure Mathematics》 2021年第10期791-806,共16页
Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases represent... Polynomial functions containing terms with non-integer powers are studied to disclose possible approaches for obtaining their roots as well as employing them for curve-fitting purposes. Several special cases representing equations from different categories are investigated for their roots. Curve-fitting applications to physically meaningful data by the use of fractional functions are worked out in detail. Relevance of this rarely worked subject to solutions of fractional differential equations is pointed out and existing potential in related future work is emphasized. 展开更多
关键词 Rational Irrational Imaginary and Transcendental Powers Roots of Functions with Variables of Non-Integer Powers Curve-Fitting by Functions Incorporating Terms with Rational Powers Fractional Differential Equations
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基于幂函数追踪的直流微电网稳定控制方法 认领 引用 被引量:1
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作者 董伟杰 杨凯同 +2 位作者 张雅静 胡丽娟 李晓鸣 《中国电机工程学报》 EI CSCD 北大核心 2026年第8期3225-3235,I0013,共11页
直流微电网中多源多负荷功率具有很强的非线性和随机性,对其电压质量和稳定性产生较大影响。针对上述问题,该文提出一种基于幂函数追踪的稳定控制方法,以应对直流微电网中多源多负荷非线性波动带来的挑战。首先,生成幂函数追踪曲线,通... 直流微电网中多源多负荷功率具有很强的非线性和随机性,对其电压质量和稳定性产生较大影响。针对上述问题,该文提出一种基于幂函数追踪的稳定控制方法,以应对直流微电网中多源多负荷非线性波动带来的挑战。首先,生成幂函数追踪曲线,通过分析幂函数追踪控制的工作特性和直流微电网运行平衡状态,确定多源多负荷的功率波动限值。并以波动限值为界,探讨并设计波动限值内外不同波动范围情况下的优化控制策略;其次,基于Matlab/Simulink平台,构建典型的直流微电网结构,结合多源多负荷不同的波动范围,对所提控制方法与传统下垂控制方法在6种工况下进行性能对比仿真;最后,通过半实物仿真系统对幂函数追踪控制方法、多源多负荷波动范围和优化控制策略进行实验验证。结果表明,所提控制方法和优化控制策略显著提升了直流微电网的动态响应能力和稳定性。 展开更多
关键词 直流微电网 多源多负荷 波动限值 幂函数追踪 稳定性分析
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多虚拟同步机并联系统的功频振荡建模与分析 认领 引用 被引量:1
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作者 黎俊铭 石荣亮 +2 位作者 李军徽 白馨元 赖振晖 《智慧电力》 EI CSCD 北大核心 2026年第5期98-105,共8页
多虚拟同步机(VSG)并联系统存在功率与频率振荡风险,威胁着系统运行的安全性和稳定性。现有小信号建模方法结构复杂,难以全面揭示系统在不同扰动下的功频响应特性。为此,首先基于机电比拟原理,在不同扰动条件下构建了多VSG并联系统的机... 多虚拟同步机(VSG)并联系统存在功率与频率振荡风险,威胁着系统运行的安全性和稳定性。现有小信号建模方法结构复杂,难以全面揭示系统在不同扰动下的功频响应特性。为此,首先基于机电比拟原理,在不同扰动条件下构建了多VSG并联系统的机械导纳模型,推导了系统功频响应的传递函数。其次,将基于该传递函数的频域响应结果与MATLAB/Simulink时域仿真结果进行对比分析,揭示并验证了多VSG并联系统在不同参数下的功频振荡特性及其变化规律。最后,通过2台100 kVA-VSG并联系统的实验,进一步验证了所建机械导纳模型和相关理论分析的正确性。 展开更多
关键词 多虚拟同步机并联系统 功频响应 机械导纳模型 传递函数 功频振荡
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基于图论的光伏系统多功率模块优化控制策略 认领 引用 被引量:1
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作者 王艳敏 宁佳铭 +1 位作者 张伟琦 王小永 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2026年第1期14-20,共7页
针对光伏系统多功率模块存在的功率分配不均、母线电压易扰动等问题,基于图论设计一种光伏系统多功率模块优化控制策略,改善了传统下垂控制对多分支光伏系统调控的局限性.首先基于图论中的跟踪同步和协调同步理论构建一致性算法并设计... 针对光伏系统多功率模块存在的功率分配不均、母线电压易扰动等问题,基于图论设计一种光伏系统多功率模块优化控制策略,改善了传统下垂控制对多分支光伏系统调控的局限性.首先基于图论中的跟踪同步和协调同步理论构建一致性算法并设计光伏系统二次优化控制器;然后利用李雅普诺夫函数证明了所设计控制器的有限时间收敛稳定性;最后以3台容量相同的功率模块并联运行为例,进行仿真分析和实验验证.实验结果表明:所提优化控制策略能够使光伏系统直流母线侧电压在负载变化时快速恢复到额定值±5%的误差范围内(较传统下垂控制提速3倍),且具有更小的尖峰,相比传统下垂控制策略使各功率模块的输出电流偏差极大的降低(小于2%),有效实现了系统各功率模块的均衡分配. 展开更多
关键词 光伏系统 图论 优化下垂控制策略 李雅普洛夫函数 功率分配
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星载GNSS-R全球海浪波周期估计的经验模型构建 认领 引用
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作者 布金伟 刘淑慧 +4 位作者 徐顺双 向彤粟 汪秋兰 籍超颖 左小清 《测绘学报》 EI CSCD 北大核心 2026年第4期684-697,共14页
波周期是海浪重要参数之一,通常由卫星高度计后向散射系数和有效波高获得。然而,由于重访周期长以及大雨期间信号衰减的问题,该方法难以满足动态变化的需求。星载GNSS-R为波周期估计提供了一种手段,但目前很少有研究关注波周期估算,复... 波周期是海浪重要参数之一,通常由卫星高度计后向散射系数和有效波高获得。然而,由于重访周期长以及大雨期间信号衰减的问题,该方法难以满足动态变化的需求。星载GNSS-R为波周期估计提供了一种手段,但目前很少有研究关注波周期估算,复杂海洋环境缺少可靠的估算模型。因此,本文在现有散射理论的基础上,通过系统梳理星载GNSS-R观测值与海浪有效波高及波周期之间的物理数学关系,提出一种星载GNSS-R波周期估计模型构建方法。利用低风速(10 m/s)海况条件下的星载GNSS-R数据、第五代再分析(ERA5)数据提出了波周期与有效波高和GNSS-R观测值之间的经验线性模型和幂函数模型。采用ERA5、第三代波浪模型、Jason-3和浮标波周期数据作为参考,验证所提模型估计波周期的性能。试验结果表明,归一化雷达散射截面观测值的波周期估计精度略优于前沿斜率观测值,且三参数幂函数模型稍优于线性模型和双参数幂函数模型。与现有模型相比,本文模型在均方根误差、相关系数和平均绝对百分比误差方面分别提高了16.44%、13.33%和12.65%。此外,在低风和高风条件下与不同验证数据对比均吻合良好,并且通过按比例划分验证和5折交叉验证对比分析表明,本文模型兼具良好的泛化能力与稳定的模型结构,这充分证明了该模型具有高度的可靠性。 展开更多
关键词 星载GNSS-R 有效波高 波周期 幂函数模型
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Unit 1 of Ling’ao Nuclear Power Plant phase II underwent hot functional test successfully 认领 引用
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作者 Liu Chunsheng 《Electricity》 2010年第2期
On February 25, the Unit 1 of Ling’ao Nuclear Power Plant phase II underwent a 41-day-long hot functional test successfully with its major systems satisfying the requirements for
关键词 II test ao Nuclear Power Plant phase II underwent hot functional test successfully Unit 1 of Ling
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