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Research on Grid-Connected Control Strategy of Distributed Generator Based on Improved Linear Active Disturbance Rejection Control
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作者 Xin Mao Hongsheng Su Jingxiu Li 《Energy Engineering》 EI 2024年第12期3929-3951,共23页
The virtual synchronous generator(VSG)technology has been proposed to address the problem of system frequency and active power oscillation caused by grid-connected new energy power sources.However,the traditional volt... The virtual synchronous generator(VSG)technology has been proposed to address the problem of system frequency and active power oscillation caused by grid-connected new energy power sources.However,the traditional voltage-current double-closed-loop control used in VSG has the disadvantages of poor disturbance immunity and insufficient dynamic response.In light of the issues above,a virtual synchronous generator voltage outer-loop control strategy based on improved linear autonomous disturbance rejection control(ILADRC)is put forth for consideration.Firstly,an improved first-order linear self-immunity control structure is established for the characteristics of the voltage outer loop;then,the effects of two key control parameters-observer bandwidthω_(0)and controller bandwidthω_(c)on the control system are analyzed,and the key parameters of ILADRC are optimally tuned online using improved gray wolf optimizer-radial basis function(IGWO-RBF)neural network.A simulationmodel is developed using MATLAB to simulate,analyze,and compare the method introduced in this paper.Simulations are performed with the traditional control strategy for comparison,and the results demonstrate that the proposed control method offers superior anti-interference performance.It effectively addresses power and frequency oscillation issues and enhances the stability of the VSG during grid-connected operation. 展开更多
关键词 Virtual synchronous generator(VSG) active power improved linear active disturbance rejection control(ILADRC) radial basis function(RBF)neural networks improved gray wolf optimizer(IGWO)
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Design of a Transverse-flux Permanent-magnet Linear Generator and Controller for Use with a Free-piston Stirling Engine 被引量:2
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作者 ZHENG Jigui HUANG Yuping +1 位作者 WU Hongxing ZHENG Ping 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2016年第4期832-842,共11页
Transverse-flux with high efficiency has been applied in Stirling engine and permanent magnet synchronous linear generator system,however it is restricted for large application because of low and complex process.A nov... Transverse-flux with high efficiency has been applied in Stirling engine and permanent magnet synchronous linear generator system,however it is restricted for large application because of low and complex process.A novel type of cylindrical,non-overlapping,transverse-flux,and permanent-magnet linear motor(TFPLM) is investigated,furthermore,a high power factor and less process complexity structure research is developed.The impact of magnetic leakage factor on power factor is discussed,by using the Finite Element Analysis(FEA) model of stirling engine and TFPLM,an optimization method for electro-magnetic design of TFPLM is proposed based on magnetic leakage factor.The relation between power factor and structure parameter is investigated,and a structure parameter optimization method is proposed taking power factor maximum as a goal.At last,the test bench is founded,starting experimental and generating experimental are performed,and a good agreement of simulation and experimental is achieved.The power factor is improved and the process complexity is decreased.This research provides the instruction to design high-power factor permanent-magnet linear generator. 展开更多
关键词 permanent-magnet linear motor(TFPLM) stirling engine magnetic leakage factor power factor
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Identification and Estimation of Generalized Additive Partial Linear Models with Nonignorable Missing Response
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作者 Jierui Du Yuan Li Xia Cui 《Communications in Mathematics and Statistics》 SCIE CSCD 2024年第1期113-156,共44页
The generalized additive partial linear models(GAPLM)have been widely used for flexiblemodeling of various types of response.In practice,missing data usually occurs in studies of economics,medicine,and public health.W... The generalized additive partial linear models(GAPLM)have been widely used for flexiblemodeling of various types of response.In practice,missing data usually occurs in studies of economics,medicine,and public health.We address the problem of identifying and estimating GAPLM when the response variable is nonignorably missing.Three types of monotone missing data mechanism are assumed,including logistic model,probit model and complementary log-log model.In this situation,likelihood based on observed data may not be identifiable.In this article,we show that the parameters of interest are identifiable under very mild conditions,and then construct the estimators of the unknown parameters and unknown functions based on a likelihood-based approach by expanding the unknown functions as a linear combination of polynomial spline functions.We establish asymptotic normality for the estimators of the parametric components.Simulation studies demonstrate that the proposed inference procedure performs well in many settings.We apply the proposed method to the household income dataset from the Chinese Household Income Project Survey 2013. 展开更多
关键词 generalized additive partial linear models Nonignorable missingness IDENTIFIABILITY Observed likelihood
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Bayesian and Non-Bayesian Analysis for the Sine Generalized Linear Exponential Model under Progressively Censored Data
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作者 Naif Alotaibi A.S.Al-Moisheer +2 位作者 Ibrahim Elbatal Mohammed Elgarhy Ehab M.Almetwally 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第9期2795-2823,共29页
This article introduces a novel variant of the generalized linear exponential(GLE)distribution,known as the sine generalized linear exponential(SGLE)distribution.The SGLE distribution utilizes the sine transformation ... This article introduces a novel variant of the generalized linear exponential(GLE)distribution,known as the sine generalized linear exponential(SGLE)distribution.The SGLE distribution utilizes the sine transformation to enhance its capabilities.The updated distribution is very adaptable and may be efficiently used in the modeling of survival data and dependability issues.The suggested model incorporates a hazard rate function(HRF)that may display a rising,J-shaped,or bathtub form,depending on its unique characteristics.This model includes many well-known lifespan distributions as separate sub-models.The suggested model is accompanied with a range of statistical features.The model parameters are examined using the techniques of maximum likelihood and Bayesian estimation using progressively censored data.In order to evaluate the effectiveness of these techniques,we provide a set of simulated data for testing purposes.The relevance of the newly presented model is shown via two real-world dataset applications,highlighting its superiority over other respected similar models. 展开更多
关键词 Sine G family generalized linear failure rate progressively censored data MOMENTS maximum likelihood estimation Bayesian estimation simulation
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Design, Construction and Ocean Testing of Wave Energy Conversion System with Permanent Magnet Tubular Linear Generator 被引量:2
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作者 陈中显 余海涛 +1 位作者 刘春元 洪立玮 《Transactions of Tianjin University》 EI CAS 2016年第1期72-76,共5页
In this paper, the design, construction and ocean testing of a wave energy conversion system are studied. Based on the motion characteristics of double buoys in ocean waves, a wave energy conversion system with perman... In this paper, the design, construction and ocean testing of a wave energy conversion system are studied. Based on the motion characteristics of double buoys in ocean waves, a wave energy conversion system with permanent magnet tubular linear generator (PMTLG) is proposed to convert ocean wave energy into electricity. The wave energy conversion system was installed in the Yellow Sea near Lianyungang, China. The ocean test re- suits indicate that it had dynamic and static performance, and obtained an expected amount of electricity. The calcu- lation result indicates the average output power was about 1 000 W, and the conversion efficiency from wave en- ergy into electricity was 1.4%. In addition, the wireless data communication, mechanics and oceanography were also discussed. 展开更多
关键词 ocean wave energy BUOY permanent magnet tubular linear generator ELECTRICITY
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Research on Coupling Transfer Characteristics of Vibration Energy of Free Piston Linear Generator 被引量:1
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作者 Jingyi Tian Huihua Feng +1 位作者 Yifan Chen Shuochun Wang 《Journal of Beijing Institute of Technology》 EI CAS 2020年第4期556-567,共12页
In order to clarify the mechanism and main influencing factors of the vibration energy coupling transmission with a dual-piston structure,a thermodynamic and dynamic coupling model of the free piston linear generator(... In order to clarify the mechanism and main influencing factors of the vibration energy coupling transmission with a dual-piston structure,a thermodynamic and dynamic coupling model of the free piston linear generator(FPLG)was established.The system energy conversion,vibration energy coupling transmission,and influencing factors were studied in detail.The coupling transmission paths and the secondary influence mechanism from in-cylinder combustion on vibration energy transmission were obtained.In addition,the influence of the movement characteristics of the dual-piston on the vibration energy transmission was studied,and the typical parameter variation law was obtained,which provides theoretical guidance for the subsequent vibration reduction design of the FPLG. 展开更多
关键词 free piston linear generator(FPLG) coupled motion of dual-piston vibration energy transfer mechanism analysis of influencing factors
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Generating Electricity from Mechanical Vibrations:Optimization of Linear a Generator 被引量:2
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作者 MAA KARUNARATHNA KAM DHANURANGA 《Instrumentation》 2021年第2期34-39,共6页
Energy preservation is one of the key components in developing eco-friendly machines.In industry,the majority of machines lose a considerable amount of energy through mechanical vibrations.However,the wasted energy th... Energy preservation is one of the key components in developing eco-friendly machines.In industry,the majority of machines lose a considerable amount of energy through mechanical vibrations.However,the wasted energy through vibration can be utilized as a renewable energy source to compensate for the overall energy loss.The research work presented in this paper discusses the ability to design a linear power generator utilizing Nd Fe-B magnets,which can generate energy through mechanical vibrations.A pilot model was developed and simulated to understand the efficiency and limitation.The results showed that the model could reduce 14% rotor bulk with a marginal impact on the current generation. 展开更多
关键词 Mechanical Vibrations linear generator Sustainable Energy Energy Production
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Starting Control of Free Piston Stirling Linear Generator System Based on FOC
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作者 Qiaoling Yang Kechun Zhang +2 位作者 Shenghui Guo Boliang Song Xiaoyu Zhang 《CES Transactions on Electrical Machines and Systems》 CSCD 2022年第2期195-200,共6页
Aiming at the problem of poor system dynamic performance caused by low parameter matching in the coordinated control of Stirling engine and linear generator in the starting stage control of free piston Stirling linear... Aiming at the problem of poor system dynamic performance caused by low parameter matching in the coordinated control of Stirling engine and linear generator in the starting stage control of free piston Stirling linear generator system,a joint control method of free piston Stirling permanent magnet synchronous linear generator system based on field orientation control is proposed,based on the theoretical derivation of the mathematical model of the system and the principle of controller parameters setting,the simulation experiments of the system starting stage under several Stirling engine working conditions are carried out under simulation.The experimental results show that the stability and rapidity of the system are improved,and the dynamic response speed of generator parameters under different working conditions is accelerated,what fully verifies the correctness and effectiveness of the method.It provides an effective way to improve the control performance of the system and stabilize the power generation operation. 展开更多
关键词 Parameter setting Field orientation control Double closed loop Permanent magnet synchronous linear generator
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Linear Generator Used in Hybrid System Solar Biomass
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作者 Angelo Jose Junqueira Rezek Carlos Rocha +6 位作者 Wladimir Cobas Electo E. S. Lora Paulo S. P. Correa Jr.t Osvaldo J. Venturini Rubenildo Andrade Jose C. Escobar Marcelo Pirani 《Journal of Mechanics Engineering and Automation》 2015年第6期382-385,共4页
The aim of this paper is to present the linear generator (Stirling solar dish) in the context of a HSSB (hybrid system solar biomass), project P & D (research and development P & D 0041, in cooperation and part... The aim of this paper is to present the linear generator (Stirling solar dish) in the context of a HSSB (hybrid system solar biomass), project P & D (research and development P & D 0041, in cooperation and partnership with CPFL--LIght and Force Paulista Company-Campinas, Piratininga, S.P. Brazil). The other components of the system will be the solar ORC (organic Rankine cycle), the rotary Stifling and the biomass gasifier. The integration of the complete system will be described in the paper, and is projected to be hydraulic one. 展开更多
关键词 linear generator Stirling solar dish electric-hydraulic integration.
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Prediction of the Inductance in a Synchronous Linear Permanent Magnet Generator
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作者 Boel Ekergard Rafael Waters Mats Leijon 《Journal of Electromagnetic Analysis and Applications》 2011年第5期155-159,共5页
This paper presents calculations of the varying inductances profile for a synchronous linear surface mounted permanent magnet generator in an ABC reference system. Calculations are performed by utilizing the reluctanc... This paper presents calculations of the varying inductances profile for a synchronous linear surface mounted permanent magnet generator in an ABC reference system. Calculations are performed by utilizing the reluctance term, known from analytic calculations and finite element method simulations. With the inductance term identified, the voltage difference between the generator’s no load and load voltage can be calculated and an external circuit can be designed for optimal use of the generator. Two different operation intervals of the linear generator are considered and the results are discussed. The result indicates that time costly finite element simulations can be replaced with simple analytical calculations for a surface mounted permanent magnet linear generator. 展开更多
关键词 Wave Power Synchronous linear Permanent Magnet generator Varying Inductance ABC of Frame Reference
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Time Series-, Time-Frequency- and Spectral Analyses of Sensor Measurements in an Offshore Wave Energy Converter Based on Linear Generator Technology
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作者 Erland Stromstedt Andrej Savin +1 位作者 Olle Svensson Mats Leijon 《Energy and Power Engineering》 2013年第1期70-91,共22页
Inside the second experimental wave energy converter (WEC) launched at the Lysekil research site on the Swedish west coast in March 2009 a number of sensor systems were installed for measuring the mechanical performan... Inside the second experimental wave energy converter (WEC) launched at the Lysekil research site on the Swedish west coast in March 2009 a number of sensor systems were installed for measuring the mechanical performance of the WEC and its mechanical subsystems. One of the measurement systems was a set-up of 7 laser triangulation sensors for measuring relative displacement of the piston rod mechanical lead-through transmission in the direct drive. Two measurement periods, separated by 2.5 month, are presented in this paper. One measurement is made two weeks after launch and another 3 months after launch. Comparisons and correlations are made between different sensors measuring simultaneously. Noise levels are investigated. Filtering is discussed for further refinement of the laser triangulation sensor signals in order to separate noise from actual physical displacement and vibration. Measurements are presented from the relative displacement of the piston rod mechanical lead-through, from magnetic flux in the air gap, mechanical strain in the WEC structure, translator position and piston rod axial displacement and active AC power. Investigation into the measurements in the time domain with close-ups, in the frequency domain with Fast Fourier transform (FFT) and with time-frequency analysis with short time Fourier transform (STFT) is carried out to map the spectral content in the measurements. End stop impact is clearly visible in the time-frequency analysis. The FFT magnitude spectra are investigated for identifying the cogging bandwidth among other vibrations. Generator cogging, fluctuations in the damping force and in the Lorenz forces in the stator are distinguished and varies depending on translator speed. Vibrations from cogging seem to be present in the early measurement period while not so prominent in the late measurement period. Vibration frequencies due to wear are recognized by comparing with the noise at generator standstill and the vibration sources in the generator. It is concluded that a moving average is a sufficient filter in the time domain for further analysis of the relative displacement of the piston rod mechanical lead-through transmission. 展开更多
关键词 Wave Power Wave Energy Converter linear generator Sensor Measurements Spectral Analysis COGGING Filtering Laser Triangulation Sensor Draw-Wire Sensor Force Transducer Strain Gauges Search Coil Power generation
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Generalized linear joint PP-PS inversion based on two constraints 被引量:1
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作者 方圆 张丰麒 王彦春 《Applied Geophysics》 SCIE CSCD 2016年第1期103-115,220,共14页
Conventional joint PP-PS inversion is based on approximations of the Zoeppritz equations and assumes constant VP/VS;therefore,the inversion precision and stability cannot satisfy current exploration requirements.We pr... Conventional joint PP-PS inversion is based on approximations of the Zoeppritz equations and assumes constant VP/VS;therefore,the inversion precision and stability cannot satisfy current exploration requirements.We propose a joint PP-PS inversion method based on the exact Zoeppritz equations that combines Bayesian statistics and generalized linear inversion.A forward model based on the exact Zoeppritz equations is built to minimize the error of the approximations in the large-angle data,the prior distribution of the model parameters is added as a regularization item to decrease the ill-posed nature of the inversion,low-frequency constraints are introduced to stabilize the low-frequency data and improve robustness,and a fast algorithm is used to solve the objective function while minimizing the computational load.The proposed method has superior antinoising properties and well reproduces real data. 展开更多
关键词 joint PP-PS inversion Zoeppritz equations generalized linear inversion Bayesian statistics low-frequency constraints
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基于System Generator的宽带电力线脉冲噪声实现方法 被引量:10
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作者 王毅 田富公 +3 位作者 侯兴哲 郑可 叶君 李松浓 《电力系统自动化》 EI CSCD 北大核心 2017年第12期218-223,共6页
随机脉冲噪声是影响用电信息采集系统中宽带电力线载波(BPLC)通信的关键因素。目前的评估测试技术中缺乏标准化的宽带电力线噪声建模和实现方法。研究了经典的Middleton Class-A脉冲噪声模型,分析了二项分布逼近泊松分布的条件,从伯努... 随机脉冲噪声是影响用电信息采集系统中宽带电力线载波(BPLC)通信的关键因素。目前的评估测试技术中缺乏标准化的宽带电力线噪声建模和实现方法。研究了经典的Middleton Class-A脉冲噪声模型,分析了二项分布逼近泊松分布的条件,从伯努利实验模型出发,依据Middleton Class-A模型的脉冲指数设定满周期线性同余法生成伪随机序列的阈值,通过判定阈值以获取特定强度的泊松序列。该序列在加权因子部分进行数值运算,得到特定状态的噪声方差,利用乘法器与高斯白噪声序列相乘。所提Class-A脉冲噪声的System Generator模块化设计方法能够实现快速的算法验证,通过对比现场可编程门阵列(FPGA)输出与理论随机脉冲噪声的统计特性,证明了该实现方法的有效性与准确性。 展开更多
关键词 电力线载波通信 现场可编程门阵列 System generator Middleton Class-A 脉冲噪声 线性同余
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Equivalence of crossed product of linear categories and generalized Maschke theorem 被引量:1
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作者 鹿道伟 王栓宏 《Journal of Southeast University(English Edition)》 EI CAS 2016年第2期258-260,共3页
Some sufficient and necessary conditions are given for the equivalence between two crossed product actions of Hopf algebra H on the same linear category, and the Maschke theorem is generalized. Based on the result of ... Some sufficient and necessary conditions are given for the equivalence between two crossed product actions of Hopf algebra H on the same linear category, and the Maschke theorem is generalized. Based on the result of the crossed product in the classic Hopf algebra theory, first, let A be a k-linear category and H be a Hopf algebra, and the two crossed products A#_σH and A#'_σH are isomorphic under some conditions. Then, let A#_σH be a crossed product category for a finite dimensional and semisimple Hopf algebra H. If V is a left A#σH-module and WC V is a submodule such that W has a complement as a left A-module, then W has a complement as a A#_σH-module. 展开更多
关键词 linear category inner action crossed product generalized Maschke theorem
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MAOR method for the generalized—order linear complementarity problems
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作者 祝凤清 彭永清 周永华 《中国西部科技》 2009年第4期9-12,共4页
The modified AOR method for solving linear complementarity problem(LCP(M,p))was proposed in literature,with some convergence results.In this paper,we considered the MAOR method for generalized-order linear complementa... The modified AOR method for solving linear complementarity problem(LCP(M,p))was proposed in literature,with some convergence results.In this paper,we considered the MAOR method for generalized-order linear complementarity problem(ELCP(M,N,p,q)),where M,N are nonsingular matrices of the following form:M=[D11H1K1D2],N=[D12H2K2D22],D11,D12,D21 and D22 are square nonsingular diagonal matrices. 展开更多
关键词 Maor迭代算法 线性系统 矩阵 计算方法
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Numerical Simulation of a Spark Ignited Two-Stroke Free-Piston Engine Generator 被引量:13
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作者 毛金龙 左正兴 刘栋 《Journal of Beijing Institute of Technology》 EI CAS 2009年第3期283-287,共5页
A numerical program is built to simulate the performance of a spark ignited two-stroke free-piston engine coupled with a linear generator. The computational model combines a series of dynamic and thermodynamic equatio... A numerical program is built to simulate the performance of a spark ignited two-stroke free-piston engine coupled with a linear generator. The computational model combines a series of dynamic and thermodynamic equations that are solved simultaneously to predict the performances of the engines. The dynamic analysis performed consists of an evaluation of the frictional force and load force introduced by the generator. The thermodynamic analysis used a single zone model to describe the engine' s working cycle which includes intake, scavenging, compression, combustion and expansion, and to evaluate the effect of heat transfer based on the first law of thermodynamics and the ideal gas state equation. Because there is no crankshaft, a time based Wiebe equation was used to express the fraction of fuel burned in the combustion. The calculated results were validated by using the experimental data from another research group. The results indicate that the free-piston generator has some advantages over conventional engines. 展开更多
关键词 free-piston engine linear generator numerical simulation TWO-STROKE spark ignited dynamic analysis thermodynamic analysis
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A NEW PERTURBATION THEOREM FOR MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS IN BANACH SPACES 被引量:3
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作者 王紫 王玉文 《Acta Mathematica Scientia》 SCIE CSCD 2017年第6期1619-1631,共13页
In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is "the generalized Neumann lemma"... In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is "the generalized Neumann lemma" which is quite different from the method in [12] where "the generalized Banach lemma" was used. By the method of the perturba- tion analysis of bounded linear operators, we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces. 展开更多
关键词 Banach space bounded linear operator metric projection generalized inverse perturbation analysis Moore-Penrose quasi-additive
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RESEARCH OF THE SWITCHED RELUCTANCE STARTER/GENERATOR SYSTEMS 被引量:2
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作者 李磊 朱学忠 曹志亮 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1999年第4期222-226,共5页
This paper focuses on the simulation and test of the switched reluctance starter/generator systems. Through the emulational analysis of the initial starting torque, the optimal turn-on section of the power switches is... This paper focuses on the simulation and test of the switched reluctance starter/generator systems. Through the emulational analysis of the initial starting torque, the optimal turn-on section of the power switches is discovered. The fundamental theory of the generating operation is analyzed with the linearity model, and a new method is presented based on voltage pulse width modulation for the generating mode control. Through the steady-state and optimized emulation of the output power and system efficiency, the optimizational control approach for the generating mode over a wide speed range is introduced. At last, the test of the 3KW prototype system shows that the dynamic and static performance of this system is fine. 展开更多
关键词 Electric generators linearIZATION Mathematical models Optimal control systems Pulse width modulation Reluctance motors STARTERS
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PROPER SPLITTINGS FOR RESTRICTED LINEAR EQUATIONS AND THE GENERALIZED INVERSE A_(T,S)~2 被引量:2
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作者 王国荣 魏益民 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1998年第1期1-13,共13页
This paper presents a proper splitting iterative method for comparing the general restricted linear euqations Ax=b, x ∈T (where, b ∈AT, and T is an arbitrary but fixed subspace of C<sup>m</sup>) and th... This paper presents a proper splitting iterative method for comparing the general restricted linear euqations Ax=b, x ∈T (where, b ∈AT, and T is an arbitrary but fixed subspace of C<sup>m</sup>) and the generalized in A<sub>T,S</sub> For the special case when b ∈AT and dim(T)=dim(AT), this splitting iterative methverse A<sub>T,S</sub> hod converges to A<sub>T,S</sub>b (the unique solution of the general restricted system Ax=bx ∈T). 展开更多
关键词 PROPER SPLITTING RESTRICTED linear equations the generalized inverse A2T S.
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Linear complexity of Ding generalized cyclotomic sequences 被引量:2
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作者 闫统江 陈智雄 肖国镇 《Journal of Shanghai University(English Edition)》 CAS 2007年第1期22-26,共5页
Minimal polynomials and linear complexity of binary Ding generalized cyclotomic sequences of order 2 with the two-prime residue ring Zpq are obtained by Bai in 2005. In this paper, we obtain linear complexity and mini... Minimal polynomials and linear complexity of binary Ding generalized cyclotomic sequences of order 2 with the two-prime residue ring Zpq are obtained by Bai in 2005. In this paper, we obtain linear complexity and minimal polynomials of all Ding generalized cyclotomic sequences. Our result shows that linear complexity of these sequences takes on the values pq and pq-1 on our necessary and sufficient condition with probability 1/4 and the lower bound (pq - 1)/2 with probability 1/8. This shows that most of these sequences are good. We also obtained that linear complexity and minimal polynomials of these sequences are independent of their orders. This makes it no more difficult in choosing proper p and q. 展开更多
关键词 stream cipher generalized cyclotomic sequence linear complexity minimal polynomial
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