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OSCILLATORY BEHAVIOUR OF A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS OF THIRD ORDER 被引量:10
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作者 A. Tiryaki Department of Mathematics, Gazi University Faculty of Arts and Sciences Teknik Okullar, 06500 Ankara, Turkey S. (Yaman) Pasinlio■u Department of Mathematics, Hacettepe University, 06532 Beytepe, Ankara, Turkey 《Acta Mathematica Scientia》 SCIE CSCD 2001年第2期182-188,共7页
This paper investigates the oscillatory and nonoscillatory behaviour of solu- tions of a class of third order nonlinear differential equations. Results extend and improve some known results in the literature.
关键词 oscillatory solution nonoscillatory solution behaviour of solution nonlinear differential equation
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OSCILLATORY AND ASYMPTOTIC BEHMIOUR OF A CLASS OF NONLINEAR DIFFERENTIALEQUATIONS OF THIRD ORDER 被引量:2
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作者 N. Parhi P. Das(Department of Mathematics, Berhampur University, Bechampur-760007, India) 《Acta Mathematica Scientia》 SCIE CSCD 1998年第1期95-106,共12页
This paper deals with oscillatory /nonoscillatory behaviour of solutions of thirdorder nonlinear differential equations of the formwhere a,b,c E C([a,oo),R) such that a(t) does not change sign, b(t) 5 0, c(t) > 0,f... This paper deals with oscillatory /nonoscillatory behaviour of solutions of thirdorder nonlinear differential equations of the formwhere a,b,c E C([a,oo),R) such that a(t) does not change sign, b(t) 5 0, c(t) > 0,f∈C(R, R) such that (f(y)/y) ≥ β > 0 for y ≠ 0 and γ > 0 is a quotient of odd integers.It has been shown, under certain conditions on coefficient functions, that a solution of (1)and (2) which Las a zero is oscillatory and the nonoscillatory solutions of these equationstend to zero as t → ∞. The motivation for this work came from the observation that thewhere al b, c are constants such that b≤ 0, c > 0, has an oscillatory solution if and only ifand all nonoscillatory solutions of (3) tend to zero if and only if the equation has anoscillatory solution. 展开更多
关键词 oscillatory solution nonoscillatory solution behaviour of solution nonlinear differential equation
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Oscillatory and anti-oscillatory motifs in genetic regulatory networks 被引量:1
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作者 叶纬明 张朝阳 +2 位作者 吕彬彬 狄增如 胡岗 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第6期10-18,共9页
Recently, self-sustained oscillatory genetic regulatory networks (GRNs) have attracted significant attention in the biological field. Given a GRN, it is important to anticipate whether the network could generate osc... Recently, self-sustained oscillatory genetic regulatory networks (GRNs) have attracted significant attention in the biological field. Given a GRN, it is important to anticipate whether the network could generate oscillation with proper parameters, and what the key ingredients for the oscillation are. In this paper the ranges of some function-related parameters which are favorable to sustained oscillations are considered. In particular, some oscillatory motifs appearing with high-frequency in most of the oscillatory GRNs are observed. Moreover, there are some anti-oscillatory motifs which have a strong oscillation repressing effect. Some conclusions analyzing these motif effects and constructing oscillatory GRNs are provided. 展开更多
关键词 genetic regulatory network oscillatory motif anti-oscillatory motif feedback loop
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Weighted L^p-boundedness of Multilinear Oscillatory Singular Integrals with Calderón-Zygmund Kernel
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作者 田东风 燕敦验 《Chinese Quarterly Journal of Mathematics》 CSCD 2002年第1期33-40,共8页
In this paper, weighted L p-boundedness is obtained for a class of multilinear oscillatory singular integrals with Calderón-Zygmund kernel.
关键词 multilinear oscillatory integrals Calderón-Zygmund kernel A p-weight
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A LIPSCHITZ ESTIMATE FOR MULTILINEAR OSCILLATORY SINGULAR INTEGRALS WITH ROUGH KERNELS 被引量:2
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作者 伍火熊 《Acta Mathematica Scientia》 SCIE CSCD 2005年第4期761-770,共10页
In this paper, for the multilinear oscillatory singular integral operators TA1,A2,...Ar defined by TA1,A2,...,Arf(x) = p.v.∫R^n ^e^iP(x,y)Ω(x - y)/|x - y|^n+M r∏s=1 Rms+1(As;x,y)f(y)dy, n≥2 where P... In this paper, for the multilinear oscillatory singular integral operators TA1,A2,...Ar defined by TA1,A2,...,Arf(x) = p.v.∫R^n ^e^iP(x,y)Ω(x - y)/|x - y|^n+M r∏s=1 Rms+1(As;x,y)f(y)dy, n≥2 where P(x,y) is a nontrivial and real-valued polynomial defined on R^n×R^n,Ω(x) is homogeneous of degree zero on R^n, As(x) has derivatives of order ms in ∧βs (0〈βs〈 1), Rms+1 (As;x, y) denotes the (ms+1)-st remainder of the Taylor series of As at x expended about y (s = 1, 2, ..., r), M = ∑s^r =1 ms, the author proves that if 0 〈=β1=∑s^r=1 βs〈1,and Ω∈L^q(S^n-1) for some q 〉 1/(1 -β), then for any p∈(1, ∞), and some appropriate 0 〈β〈 1, TA1,A2,...,Ar, is bounded on L^P(R^n). 展开更多
关键词 Multilinear operator oscillatory singular integral Lipschitz spaces rough kernel
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Controlling spiral wave with target wave in oscillatory systems 被引量:1
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作者 刘富成 王晓菲 +1 位作者 李雪辰 董丽芳 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第9期2640-2643,共4页
Spiral waves have been controlled by generating target waves with a localized inhomogeneity in the oscillatory medium. The competition between the spiral waves and target waves is discussed. The effect of the localize... Spiral waves have been controlled by generating target waves with a localized inhomogeneity in the oscillatory medium. The competition between the spiral waves and target waves is discussed. The effect of the localized inhomogeneity size has also been studied. 展开更多
关键词 target wave spiral wave localized inhomogeneity oscillatory system
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Mechanochemical model for myosinⅡdimer that can explain the spontaneous oscillatory contraction of muscle 被引量:1
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作者 Wei Sun Xiao-Yang Zhao +2 位作者 Jun-Ping Zhang Tala Wei-Sheng Guo 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第11期641-648,共8页
The spontaneous oscillatory contraction(SPOC) of myofibrils is the essential property inherent to the contractile system of muscle. Muscle contraction results from cyclic interactions between actin filament and myos... The spontaneous oscillatory contraction(SPOC) of myofibrils is the essential property inherent to the contractile system of muscle. Muscle contraction results from cyclic interactions between actin filament and myosin II which is a dimeric motor protein with two heads. Taking the two heads of myosin II as an indivisible element and considering the effects of cooperative behavior between the two heads on rate constants in the mechanochemical cycle, the present work proposes the tenstate mechanochemical cycle model for myosin II dimer. The simulations of this model show that the proportion of myosin II in different states periodically changes with time, which results in the sustained oscillations of contractive tension, and serves as the primary factor for SPOC. The good fit of this model to experimental results suggests that the cooperative interaction between the two heads of myosin II dimer may be one of the underlying mechanisms for muscle contraction. 展开更多
关键词 muscle contraction spontaneous oscillatory contraction (SPOC) mechanochemical cycle cooperative behavior
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Oscillatory and Chaotic Buoyant-Thermocapillary Convection in the Large-Scale Liquid Bridge 被引量:1
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作者 王佳 段俐 康琦 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第7期138-141,共4页
To cooperate with Chinese TG-2 space experiment project, the transition process from steady to regular oscillatory flow, and finally to chaos is experimentally studied in buoyant-thermocapillary convection. The onset ... To cooperate with Chinese TG-2 space experiment project, the transition process from steady to regular oscillatory flow, and finally to chaos is experimentally studied in buoyant-thermocapillary convection. The onset of oscillation and further transitional convective behavior are detected by measuring the temperature in large-scale liquid bridge of 2eSt silicone oil To identify the various dynamical regimes, the Fourier transform and fractal theory are used to reveal the frequency and amplitude characteristics of the flow motion. The experimental results indicate the co-existence of quasi-periodic and the Feigenbaum bifurcation in chaos. 展开更多
关键词 oscillatory and Chaotic Buoyant-Thermocapillary Convection in the Large-Scale Liquid Bridge
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A novel strategy of smart manipulation by micro-scale oscillatory networks of the reactionary zones for enhanced extreme thrust control of the next-generation solid propulsion systems
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作者 Alexander N.Lukin 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2018年第5期635-642,共8页
The main aim of this research is to get a better knowledge and understanding of the micro-scale oscillatory networks behavior in the solid propellants reactionary zones. Fundamental understanding of the micro-and nano... The main aim of this research is to get a better knowledge and understanding of the micro-scale oscillatory networks behavior in the solid propellants reactionary zones. Fundamental understanding of the micro-and nano-scale combustion mechanisms is essential to the development and further improvement of the next-generation technologies for extreme control of the solid propellant thrust. Both experiments and theory confirm that the micro-and nano-scale oscillatory networks excitation in the solid propellants reactionary zones is a rather universal phenomenon. In accordance with our concept,the micro-and nano-scale structures form both the fractal and self-organized wave patterns in the solid propellants reactionary zones. Control by the shape, the sizes and spacial orientation of the wave patterns allows manipulate by the energy exchange and release in the reactionary zones. A novel strategy for enhanced extreme thrust control in solid propulsion systems are based on manipulation by selforganization of the micro-and nano-scale oscillatory networks and self-organized patterns formation in the reactionary zones with use of the system of acoustic waves and electro-magnetic fields, generated by special kind of ring-shaped electric discharges along with resonance laser radiation. Application of special kind of the ring-shaped electric discharges demands the minimum expenses of energy and opens prospects for almost inertia-free control by combustion processes. Nano-sized additives will enhance self-organizing and self-synchronization of the micro-and nano-scale oscillatory networks on the nanometer scale. Suggested novel strategy opens the door for completely new ways for enhanced extreme thrust control of the solid propulsion systems. 展开更多
关键词 Solid propulsion systems EXTREME thrust control Reactionary ZONES MICRO-SCALE oscillatory NETWORKS Self-organized wave patterns Energy-releasing areas
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Oscillatory Failure Detection for Flight Control System Using Voting and Comparing Monitors
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作者 XUE Ying YAO Zhenqiang 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2019年第5期817-827,共11页
Oscillatory failure cases(OFC)detection in the fly-by-wire(FBW)flight control system for civil aircraft is addressed in this paper.First,OFC is ranked four levels:Handling quality,static load,global structure fatigue ... Oscillatory failure cases(OFC)detection in the fly-by-wire(FBW)flight control system for civil aircraft is addressed in this paper.First,OFC is ranked four levels:Handling quality,static load,global structure fatigue and local fatigue,according to their respect impact on aircraft.Second,we present voting and comparing monitors based on un-similarity redundancy commands to detect OFC.Third,the associated performances,the thresholds and the counters of the monitors are calculated by the high fidelity nonlinear aircraft models.Finally,the monitors of OFC are verified by the Iron Bird Platform with real parameters of the flight control system.The results show that our approach can detect OFC rapidly. 展开更多
关键词 oscillatory failure FLY-BY-WIRE FLIGHT control system MONITOR VOTING
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Oscillatory-Plus-Transient Signal Decomposition Using TQWT and MCA
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作者 G. Ravi Shankar Reddy Rameshwar Rao 《Journal of Electronic Science and Technology》 CAS CSCD 2019年第2期135-151,共17页
This paper describes a method for decomposing a signal into the sum of an oscillatory component and a transient component. The process uses the tunable Q-factor wavelet transform (TQWT): The oscillatory component is m... This paper describes a method for decomposing a signal into the sum of an oscillatory component and a transient component. The process uses the tunable Q-factor wavelet transform (TQWT): The oscillatory component is modeled as a signal that can be sparsely denoted by high Q-factor TQWT;similarly, the transient component is modeled as a piecewise smooth signal that can be sparsely denoted using low Q-factor TQWT. Since the low and high Q-factor TQWT has low coherence, the morphological component analysis (MCA) can effectively decompose the signal into oscillatory and transient components. The corresponding optimization problem of MCA is resolved by the split augmented Lagrangian shrinkage algorithm (SALSA). The applications of the proposed method to speech, electroencephalo-graph (EEG), and electrocardiograph (ECG) signals are included. 展开更多
关键词 Morphological COMPONENT analysis (MCA) oscillatory COMPONENT split AUGMENTED LAGRANGIAN shrinkage algorithm (SALSA) transient COMPONENT tunable Q-factor wavelet transform (TQWT)
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The spin-one Duffin Kemmer Petiau equation in the presence of pseudo-harmonic oscillatory ring-shaped potential
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作者 H.Hassanabadi M.Kamali Physics 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第10期107-111,共5页
The Duffin-Kemmer-Petiau equation (DKP) is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in (1 + 3)-dimensional space-time for spin-one particles. The exact energy eigenvalues and... The Duffin-Kemmer-Petiau equation (DKP) is studied in the presence of a pseudo-harmonic oscillatory ring-shaped potential in (1 + 3)-dimensional space-time for spin-one particles. The exact energy eigenvalues and the eigenfunctions are obtained using the Nikiforov-Uvarov method. 展开更多
关键词 DKP equation pseudo-harmonic oscillatory ring-shaped potential Nikiforov-Uvarov method en-ergy eigenvalues eigenfunctions
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Asymptotic Behavior of Oscillatory Solutions of Forced Nonlinear Neutral Delay Differential Equations
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作者 罗交晚 侯振挺 贺春田 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第2期31-35, ,共5页
The aim of this paper is to study the asymptotic behavior of the oscillatory solutions of forced nonlinear neutral equations of the form[x(t)-∑mi=1p i(t)x(t-τ i)]′+∑nj=1q j(t)f(x(t-σ j))=r(t),t≥t 0,where p i,q ... The aim of this paper is to study the asymptotic behavior of the oscillatory solutions of forced nonlinear neutral equations of the form[x(t)-∑mi=1p i(t)x(t-τ i)]′+∑nj=1q j(t)f(x(t-σ j))=r(t),t≥t 0,where p i,q j,r∈C([t 0,∞),R),τ i,σ j≥0,i=1,2,…,m,j=1,2,…,n,f∈C(R,R),xf(x)>0 for x≠0. The results obtained here extend and improve some of the results of Ladas and Sficas [3] and J.R.Yan [5]. 展开更多
关键词 oscillatory solution nonlinear neutral equations forced term asymptotic behavior
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Boundedness of a Kind of Oscillatory Singular Integral Operators
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作者 ZHAO Kai WANG Lei 《Chinese Quarterly Journal of Mathematics》 CSCD 2009年第4期598-604,共7页
In this paper, we study a kind of oscillatory singular integral operator T with Calderon-Zygmund kernel, which had been studied by Ricci and Stein in [6], and extend their result. We get that T is bounded on L^P(R^... In this paper, we study a kind of oscillatory singular integral operator T with Calderon-Zygmund kernel, which had been studied by Ricci and Stein in [6], and extend their result. We get that T is bounded on L^P(R^n)(1〈p〈∞) when -1〈u〈 αd(1/2-|1/p-1/2). 展开更多
关键词 oscillatory singular integral operator Calderon-Zygmund kernel BOUNDEDNESS
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OSCILLATORY CRITERIA FOR A CLASS OF EVEN ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATION
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作者 Fu Xilin (Shandong Normal University) 《滨州学院学报》 1991年第4期22-23,共2页
In this paper we consider the following nth order nonlinear functional differential equation x<sup>n</sup>(t)+integral from n=1 to ∞p(t,ξ)f(x(t),x[g(t,ξ)])do(ξ)=0(n even,n≧2,b】a) (1) ... In this paper we consider the following nth order nonlinear functional differential equation x<sup>n</sup>(t)+integral from n=1 to ∞p(t,ξ)f(x(t),x[g(t,ξ)])do(ξ)=0(n even,n≧2,b】a) (1) Oscillations of this equation are studied.We make 展开更多
关键词 CLASS illation oscillatory DIFFERENTIABLE assume GRACE
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A transient stability assessment method for power systems incorporating residual networks and BiGRU-attention
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作者 Shan Cheng Qiping Xu +3 位作者 Haidong Wang Zihao Yu Rui Wang Tao Ran 《Global Energy Interconnection》 2025年第1期143-159,共17页
The traditional transient stability assessment(TSA)model for power systems has three disadvantages:capturing critical information during faults is difficult,aperiodic and oscillatory unstable conditions are not distin... The traditional transient stability assessment(TSA)model for power systems has three disadvantages:capturing critical information during faults is difficult,aperiodic and oscillatory unstable conditions are not distinguished,and poor generalizability is exhibited by systems with high renewable energy penetration.To address these issues,a novel ResGRU architecture for TSA is proposed in this study.First,a residual neural network(ResNet)is used for deep feature extraction of transient information.Second,a bidirectional gated recurrent unit combined with a multi-attention mechanism(BiGRU-Attention)is used to establish temporal feature dependencies.Their combination constitutes a TSA framework based on the ResGRU architecture.This method predicts three transient conditions:oscillatory instability,aperiodic instability,and stability.The model was trained offline using stochastic gradient descent with a thermal restart(SGDR)optimization algorithm in the offline training phase.This significantly improves the generalizability of the model.Finally,simulation tests on IEEE 145-bus and 39-bus systems confirmed that the proposed method has higher adaptability,accuracy,scalability,and rapidity than the conventional TSA approach.The proposed model also has superior robustness for PMU incomplete configurations,PMU noisy data,and packet loss. 展开更多
关键词 Transient stability assessment Aperiodic instability oscillatory instability ResGRU SGDR
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On the Oscillation of the Fourth Order Differential Equations
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作者 冯滨鲁 俞元洪 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第4期1-10, ,共10页
In the present paper sufficient conditions for oscillations and nonoscillations of a class of fourth order differential equations are obtained.
关键词 fourth order differential equations oscillatory solutions nonoscillatory solutions
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Destabilising persistent coal froth using silicone oil
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作者 Shiqi Liu Xumeng Chen Yongjun Peng 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2021年第6期1023-1031,共9页
Persistent froth is becoming more and more common in coal and mineral flotation plants and presents safety and operational challenges.No effective method has been developed to destabilise persistent froth.As a new ini... Persistent froth is becoming more and more common in coal and mineral flotation plants and presents safety and operational challenges.No effective method has been developed to destabilise persistent froth.As a new initiative,this study examined the structural difference between persistent foam and coal froth,based on which a solution was developed to maximumly destabilise coal froth.Destabilisation test,oscillatory rheology measurement and scanning electron microscopy(SEM) analysis indicated that the coal froth was more stable than the foam due to the formation of thin capillaries and tightly arranged coal particles on bubble surfaces.Although 107 μm silicone oil droplet could completely destabilise the foam at 2 mmol/L concentration,it only destabilised less than 50% coal froth even at 6 mmol/L concentration.To maximumly destabilise the coal froth formed by-38 and-20 μm particles,24 and 18 μm silicone oil droplets were required to pass through the thin capillaries and enter the bubble films,respectively.However,smaller silicone oil droplets could not bridge the bubble films to destabilise coal froth and therefore a critical droplet size occurred depending on the size of particles stabilising the froth. 展开更多
关键词 Persistent froth Destabilisation Silicone oil Droplet size oscillatory rheology
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Electronic Structures and Giant Magnetoresistance of Co/Cu Superlattices with Different Orientations
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作者 尚家香 赵晓丹 《Chinese Physics Letters》 SCIE CAS CSCD 2006年第5期1282-1285,共4页
The electronic structures of Co3 Cu3 superlattices with the orientations of (100), (110) and (111) are calculated by the first-principle method within the framework of the density functional theory. It has been ... The electronic structures of Co3 Cu3 superlattices with the orientations of (100), (110) and (111) are calculated by the first-principle method within the framework of the density functional theory. It has been found that the spin-dependent scattering and charge transfers are prominent at interfaces compared to the interior layers for the three orientation superlattices. We also evaluate the magnetoresistance ratio by using the two-current model. The results show that the giant magnetoresistance ratio decreases in the order of (110), (100), (111) orientations for Co3Cu3 models (49.4%, 37. 7%, 29.3%, respectively). Further analysis shows that an expansion of average atomic volume would enhance the magnetic moment of Co, which is consistent with other calculation and experimental results. In addition, the giant magnetoresistance effect is analysed from the point of charge transfer. 展开更多
关键词 oscillatory EXCHANGE INTERACTION MULTILAYERS DEPENDENCE LAYERS
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Research on the energy consumption mechanism and characteristics of the gallium indium tin liquid metal arcing process
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作者 马亚光 高国强 +7 位作者 向宇 彭伟 董克亮 钱鹏宇 游炳妍 杨泽锋 魏文赋 吴广宁 《Plasma Science and Technology》 SCIE EI CAS CSCD 2023年第9期104-113,共10页
For high-voltage direct current(HVDC)power grid transmission with higher voltages,the energyconsuming branch of the DC circuit breaker is required to dissipate huge energies of more than megajoules in a short time in ... For high-voltage direct current(HVDC)power grid transmission with higher voltages,the energyconsuming branch of the DC circuit breaker is required to dissipate huge energies of more than megajoules in a short time in the case of a fault and short circuit.The requirements for huge volume and weight are difficult to meet with energy-consuming equipment based on ZnO.In this paper,a new energy consumption method is proposed based on gallium indium tin(GaInSn)liquid metal in the arcing process,and a test platform with adjustable short-circuit current is built.The mechanism triggering GaInSn liquid metal arcing energy consumption is studied.It is found that short-circuit current and channel aperture are the key parameters affecting the energy consumption of liquid metal arcing.The characteristics of GaInSn liquid metal energy consumption are investigated,and four stages of liquid metal energy consumption are found:oscillatory shrinkage,arc breakdown,arc burning phase change and arc extinction.The influence of short-circuit current and channel aperture on the energy consumption characteristics of GaInSn liquid metal is investigated.To further explore the physical mechanism of the above phenomena,a magneto-hydrodynamic model of energy consumption in the GaInSn liquid metal arcing process is established.The influence of short-circuit current and channel aperture on the temperature distribution of the liquid metal arc is analyzed.The mechanism of the effect of short-circuit current and channel aperture on peak arc temperature and the temperature diffusion rate is clarified.The research results provide theoretical support for this new liquid metal energy consumption mode DC circuit breaker. 展开更多
关键词 GaInSn liquid metal trigger mechanism oscillatory shrinkage arcing energy consumption temperature diffusion
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