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Ammonia storage and slip under steady and transient state in close-coupled SCR 被引量:2
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作者 Shiyu Liu Zhaohuan Zhang +4 位作者 Zexian Guo Boyuan Wang Buyu Wang Xiao Ma Shijin Shuai 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2024年第4期470-481,共12页
The close-coupled selective catalytic reduction(cc-SCR)catalyst is an effective technology to reduce tailpipe NOx emission during cold start.This paper investigated the optimal ammonia storage under steady and transie... The close-coupled selective catalytic reduction(cc-SCR)catalyst is an effective technology to reduce tailpipe NOx emission during cold start.This paper investigated the optimal ammonia storage under steady and transient state in the cc-SCR.The study showed that a trade-off between NOx conversion efficiency and ammonia slip is observed on the pareto solutions under steady state,and the optimal ammonia storage is calculated with ammonia slip less than 10μL/L based on the ChinaⅥemission legislation.The rapid temperature increase will lead to severe ammonia slip in the transient test cycle.A simplified 0-D calculation method on ammonia slip under transient state is proposed based on kinetic model of ammonia adsorption and desorption.In addition,the effect of ammonia storage,catalyst temperature and temperature increasing rate on ammonia slip are analyzed.The optimal ammonia storage is calculated with maximum ammonia slip less than 100μL/L according to the oxidation efficiency of ammonia slip catalyst(ASC)downstream cc-SCR.It was found that the optimal ammonia storage under transient state is much lower than that under steady state in cc-SCR at lower temperature,and a phase diagram is established to analyze the influence of temperature and temperature increasing rate on optimal ammonia storage. 展开更多
关键词 Close-coupled SCR Ammonia storage and slip Steady and transient state Generic algorithm
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Transient state model of actin-based motility
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作者 Li-miao Bai and Yuan Lin~(a)) Department of Mechanical Engineering,The University of Hong Kong,Hong Kong SAR,China 《Theoretical & Applied Mechanics Letters》 CAS 2011年第1期73-76,共4页
We developed a transient model for actin-based motility.Diffusion of actin monomers was included in the formulation and its influence on the speed of actin-driven cargos was examined in detail.Our results clearly demo... We developed a transient model for actin-based motility.Diffusion of actin monomers was included in the formulation and its influence on the speed of actin-driven cargos was examined in detail.Our results clearly demonstrated how actin polymerization accelerates cargos that are initially stationary,as well as how steady-state is eventually reached.We also found that,due to polymerization and diffusion,actin monomer concentration near the load surface can be significantly lower than that in the rest of the comet tail,suggesting that many previous models may not be very accurate. 展开更多
关键词 actin-based motility POLYMERIZATION DIFFUSION transient state
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Identification of Steady State and Transient State
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作者 于生 李向舜 《Journal of Shanghai Jiaotong university(Science)》 EI 2024年第2期261-270,共10页
Identification of steady state and transient state plays an important role in modeling,control,optimiza-tion,and fault detection of industrial processes.Many existing methods for state identification are not satisfact... Identification of steady state and transient state plays an important role in modeling,control,optimiza-tion,and fault detection of industrial processes.Many existing methods for state identification are not satisfactory in practical applications due to problems of ideal hypothesis,too many parameters,and poor robustness.In this paper,a novel state identification approach is proposed.The problem of state identification is transformed into finding the noise band of differential signal.For practical application,automatic selection of noise band amplitude is proposed to make the method convenient to be used.Problems of gross errors,low signal-to-noise ratio and online identification are considered.And comparison with other two methods shows that the proposed method has better identification performance.Simulations and experiments also prove the effectiveness and practicability of the proposed method. 展开更多
关键词 state identification steady state transient state noise band differential signal
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Bottleneck Identification and Prediction of Wafer Fabrication Systems in Transient States 被引量:1
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作者 周炳海 殷萌 孙超 《Journal of Donghua University(English Edition)》 EI CAS 2015年第4期549-553,558,共6页
According to theory of constraints( TOCs), the performance of a complex manufacturing system,such as a wafer fabrication system,is mainly determined by its bottleneck machine.A method of the identification and predict... According to theory of constraints( TOCs), the performance of a complex manufacturing system,such as a wafer fabrication system,is mainly determined by its bottleneck machine.A method of the identification and prediction of the bottleneck machine was proposed in transient states of a system. Firstly,the bottleneck index was formulated based on the workloads and the variability in wafer fabrication systems. Secondly, main factors causing the variability and their influences on the bottleneck machine in transient states of the system were analyzed and discussed. An effective bottleneck identification and prediction model was presented,which incorporated the variability and queuing theory,and took machine breakdowns and setups into considerations.Finally,the proposed bottleneck prediction method was verified by simulation experiments. Results indicate that the proposed bottleneck prediction method is feasible and effective. 展开更多
关键词 WAFER fabrications transient stateS BOTTLENECK PREDICTION
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Influence of the initial transient state of plasma and hydrogen pre-treatment on the interface properties of a silicon heterojunction fabricated by PECVD 被引量:2
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作者 武春波 周玉琴 +1 位作者 李国荣 刘丰珍 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2011年第9期147-150,共4页
Amorphous/crystalline silicon heterojunctions(a-Si:H/c-Si SHJ) were prepared by plasma-enhanced chemical vapor deposition(PECVD).The influence of the initial transient state of the plasma and the hydrogen pre-tre... Amorphous/crystalline silicon heterojunctions(a-Si:H/c-Si SHJ) were prepared by plasma-enhanced chemical vapor deposition(PECVD).The influence of the initial transient state of the plasma and the hydrogen pre-treatment on the interfacial properties of the heteroj unctions was studied.Experimental results indicate that: (1) The instability of plasma in the initial stage will damage the surface of c-Si.Using a shutter to shield the substrate for 100 s from the starting discharge can prevent the influence of the instable plasma process on the Si surface and also the interface between a-Si and c-Si.(2) The effect of hydrogen pre-treatment on interfacial passivation is constrained by the extent of hydrogen plasma bombardment and the optimal time for hydrogen pre-treatment is about 60 s. 展开更多
关键词 silicon heterojunction PECVD interface properties initial transient state of plasma hydrogen plasma pre-treatment
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TRANSIENT-STATE RESPONSE OF WAVE PROPAGATION IN MAGNETO-ELECTRO-ELASTIC SQUARE COLUMN 被引量:2
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作者 Jianping Wei Xianyue Su 《Acta Mechanica Solida Sinica》 SCIE EI 2008年第6期491-499,共9页
This is a continued work in studying the wave propagation in a magneto-electroelastic square column (MEESC). Based on the analytic dispersive equation, group velocity equation and steady-state response obtained in o... This is a continued work in studying the wave propagation in a magneto-electroelastic square column (MEESC). Based on the analytic dispersive equation, group velocity equation and steady-state response obtained in our previous paper 'Steady-state response of the wave propagation in a magneto-electro-elastic square column' published in CME, the dynamical behavior of MEESC was studied in this paper. The unlimited column is an open system. The transientstate response in the open system subjected by arbitrary external fields was derived when the propagating wave pursuing method was introduced. 展开更多
关键词 magneto-electro-elastic square column open system transient-state response propagating wave pursuing method
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Impact of Typical Steady-state Conditions and Transient Conditions on Flow Ripple and Its Test Accuracy for Axial Piston Pump 被引量:15
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作者 XU Bing HU Min ZHANG Junhui 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第5期1012-1022,共11页
The current research about the flow ripple of axial piston pump mainly focuses on the effect of the structure of parts on the flow ripple. Therein, the structure of parts are usually designed and optimized at rated wo... The current research about the flow ripple of axial piston pump mainly focuses on the effect of the structure of parts on the flow ripple. Therein, the structure of parts are usually designed and optimized at rated working conditions. However, the pump usually has to work in large-scale and time-variant working conditions. Therefore, the flow ripple characteristics of pump and analysis for its test accuracy with respect to variant steady-state conditions and transient conditions in a wide range of operating parameters are focused in this paper. First, a simulation model has been constructed, which takes the kinematics of oil film within friction pairs into account for higher accuracy. Afterwards, a test bed which adopts Secondary Source Method is built to verify the model. The simulation and tests results show that the angular position of the piston, corresponding to the position where the peak flow ripple is produced, varies with the different pressure. The pulsating amplitude and pulsation rate of flow ripple increase with the rise of pressure and the variation rate of pressure. For the pump working at a constant speed, the flow pulsation rate decreases dramatically with the increasing speed when the speed is less than 27.78% of the maximum speed, subsequently presents a small decrease tendency with the speed further increasing. With the rise of the variation rate of speed, the pulsating amplitude and pulsation rate of flow ripple increase. As the swash plate angle augments, the pulsating amplitude of flow ripple increases, nevertheless the flow pulsation rate decreases. In contrast with the effect of the variation of pressure, the test accuracy of flow ripple is more sensitive to the variation of speed. It makes the test accuracy above 96.20% available for the pulsating amplitude of pressure deviating within a range of ~6% from the mean pressure. However, with a variation of speed deviating within a range of ±2% from the mean speed, the attainable test accuracy of flow ripple is above 93.07%. The model constructed in this research proposes a method to determine the flow ripple characteristics of pump and its attainable test accuracy under the large-scale and time-variant working conditions. Meanwhile, a discussion about the variation of flow ripple and its obtainable test accuracy with the conditions of the pump working in wide operating ranges is given as well. 展开更多
关键词 axial piston pump flow ripple test accuracy steady-state condition transient condition wide operating ranges
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About the Features of Transient to Steady State Deformation of Solids
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作者 S. G.Psakhie A. YU.Smolin +1 位作者 E. V.Shilko S.Yu.Korostelev, A.I.Dmitriev and S. V.Alekseev (Institute of Strength Physics and Materials Science of the Russian Academy of Sciences,Siberian Branch 634055, Tomsk, Russia) 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 1997年第1期69-72,共4页
The features of transient to steady state deformation of solids are theoretically investigated.Modeling of various types of loading was carried out by the Movable Cellular Automata method.A stress state of material at... The features of transient to steady state deformation of solids are theoretically investigated.Modeling of various types of loading was carried out by the Movable Cellular Automata method.A stress state of material at the stage of transient to a steady state is shown to be essentially non-uniform, that may in its turn result in stable structures in velocity field of particles of the material. It may also influence development of deformation at the further stages. 展开更多
关键词 About the Features of transient to Steady state Deformation of Solids
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PHOTOCONDUCTIVE PROPERTIES OF PVK:Alq_3 BLEND FILMS STUDIED BY STEADY-STATE AND TIME-RESOLVED TRANSIENT PHOTOCURRENT SPECTRA
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作者 候延冰 《Chinese Journal of Polymer Science》 SCIE CAS CSCD 2008年第3期249-254,共6页
The carrier transport properties of the blends of the hole transport material poly(N-vinylcarbazole) (PVK) and the electron transport material tris (8-hydroxyquinolinolato) aluminumⅢ(Alq_3) are investigated at room t... The carrier transport properties of the blends of the hole transport material poly(N-vinylcarbazole) (PVK) and the electron transport material tris (8-hydroxyquinolinolato) aluminumⅢ(Alq_3) are investigated at room temperature using steady-state and time-resolved transient photocurrent measurements as a function of doping concentration of Alq_3.Due to lower LUMO and higher HOMO energy level of Alq_3 than those of PVK,Alq_3 molecules may act as carrier trap states in PVK films at low concentration.However,at... 展开更多
关键词 Steady-state photocurrent transient photocurrent Polymer
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STATE KEY LABORATORY OF TRANSIENT OPTICS
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《Bulletin of the Chinese Academy of Sciences》 1997年第4期354-354,共1页
The State Key Laboratory of Transient OpticsTechnology is attached to the Xi’an Institute ofOptics and Precision Mechanics of the CAS. The Laboratory is devoted to study of the theory and technology of transient opti... The State Key Laboratory of Transient OpticsTechnology is attached to the Xi’an Institute ofOptics and Precision Mechanics of the CAS. The Laboratory is devoted to study of the theory and technology of transient optics. Its research fields include concepts and technologies of ultrashort pulse generation, amplification, compression and measurement, ultrafast processes of interaction between light and matter, development, and application of measurement equipment of transient optics for scientific research and production. At present, its research activities are the following: 展开更多
关键词 CAS state KEY LABORATORY OF transient OPTICS
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Analysis of the Flow of a Molten Slag in an Open Channel Using Transient and Steady-State Solutions of the Saint-Venant Equations
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作者 Miguel A. Barron Joan Reyes Aristeo Garrido 《World Journal of Engineering and Technology》 2024年第4期976-986,共11页
In recent years, metallurgical slags have been increasingly used as materials for the manufacture of cement, pavement and filling material. The transport of the molten slag to the receiving pots is carried out through... In recent years, metallurgical slags have been increasingly used as materials for the manufacture of cement, pavement and filling material. The transport of the molten slag to the receiving pots is carried out through open channels. The transient and steady-state flow of a molten slag in a rectangular open channel is numerically analyzed here. For the transient flow, the Saint-Venant equations were numerically solved. For the steady-state flow, the derivatives in time and space in the Saint-Venant equations were set equal to zero and a polynomial of degree 3 is obtained whose roots are the slag height values. It was assumed that the viscosity of the slag has an Arrhenius-type behavior with temperature. Four values of temperature values, namely 1723.15, 1773.15, 1823.15, 18873.15 ˚K, and five values of the angle of inclination of the channel, namely 1, 2, 3, 4, 5 degrees, are considered. Numerical results show that the steady-state values of the height and velocity of the molten slag depend strongly on the temperature of the slag and the angle of inclination of the channel. As the slag temperature and channel angle increase, the value of the steady-state slag height decreases. The value of the steady-state slag velocity increases as the slag temperature and channel inclination angle increase. 展开更多
关键词 Molten Slag Open Channel Phase-Portrait Saint-Venant Equations Steady state transient Solution
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考虑换模操作的双臂组合设备终止暂态调度
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作者 罗亚波 巫琳 张峰 《工业工程》 2026年第1期120-132,共13页
自动化组合设备在单片晶圆加工技术的应用有效提升了晶圆的生产效率。为了进一步提高组合设备的利用率,本文在不违背晶圆驻留约束的前提下,考虑双臂组合设备在终止暂态中的晶圆加工与腔室换模并行操作的可行性调度。提出基于虚拟晶圆策... 自动化组合设备在单片晶圆加工技术的应用有效提升了晶圆的生产效率。为了进一步提高组合设备的利用率,本文在不违背晶圆驻留约束的前提下,考虑双臂组合设备在终止暂态中的晶圆加工与腔室换模并行操作的可行性调度。提出基于虚拟晶圆策略的终止暂态的新调度策略,建立新策略下终止暂态的Petri网模型,并提出避免死锁和控制系统运行的变迁触发条件。根据工艺要求和时间特性,考虑不同的调度情形对暂态中的等待时间进行再分配,并编写算法输出暂态中的换模时间和TR的活动序列。通过两个算例验证策略的可行性,实验结果表明,与现场先加工再换模的原加工过程相比,本调度方案在不影响设备终止暂态结束时间的前提下,可有效减少双臂组合设备的单产品晶圆批次切换时间,即最小化换模时间。 展开更多
关键词 晶圆制造 双臂组合设备 PETRI网 掩膜版更换 终止暂态
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新型电力系统下电力二次系统的分析方法和仿真技术实现
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作者 何瑞文 杨长鑫 +2 位作者 谢海骏 杨盛辉 MOHAMMAD Shahidehpour 《上海交通大学学报》 北大核心 2026年第2期175-185,I0001,I0002,共13页
电力二次系统运行的随机动态行为不透明且难以具象化描述,这显然不利于掌控新型电力系统对信息及通信技术强依赖所带来的不确定性.本文首次提出电力二次系统的稳态分析方法、静态安全分析方法和暂态分析方法.首先,以功能描述复杂的智能... 电力二次系统运行的随机动态行为不透明且难以具象化描述,这显然不利于掌控新型电力系统对信息及通信技术强依赖所带来的不确定性.本文首次提出电力二次系统的稳态分析方法、静态安全分析方法和暂态分析方法.首先,以功能描述复杂的智能变电站二次系统为研究对象,通过仿真技术开发,创建集成通用网络仿真软件的智能变电站二次系统仿真工具,保真模拟数字信息在二次系统中传递、流动和处理的全流程;然后,结合本文所提设备级的仿真测试仪、系统级的路径追踪和时延刻录技术、场景级的动作特性展示技术与仿真加速技术,以智能变电站实际工程项目为案例,实现网络传输稳态场景、部分元件失效场景、断路器失灵场景下的电力二次系统的稳态分析、静态安全分析和暂态分析. 展开更多
关键词 新型电力系统 电力二次系统 稳态分析 静态安全分析 暂态分析
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THE CLASSIFICATION AND PERIOD OF STATES FOR MARKOV CHAIN IN RANDOM ENVIRONMENT 被引量:11
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作者 胡迪鹤 《Acta Mathematica Scientia》 SCIE CSCD 2005年第1期23-29,共7页
This paper is a continuation of [8]. In Section 1, three kinds of communication are introdnced for two states and the relations among them are investigated. In Section 2, two kinds of period of a state are introdnced ... This paper is a continuation of [8]. In Section 1, three kinds of communication are introdnced for two states and the relations among them are investigated. In Section 2, two kinds of period of a state are introdnced and it is obtained that the period is a 'class property',i.e. two states x and y belong to same class implies the period of x is equal to the period of y. 展开更多
关键词 Markov chain in random environment recurrent state transient state PERIOD
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基于流热固耦合仿真的航空发动机暖机特性及其对推力的影响
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作者 邵发宁 杨超 +4 位作者 陈娉婷 王飞龙 赵伟辰 宁博 毛军逵 《航空学报》 北大核心 2026年第2期32-49,共18页
航空发动机在起飞前需要在地面保持较高转速进行暖机,否则将造成起飞过程中的推力下降。针对上述问题,以小涵道比涡扇发动机核心机为对象,结合发动机流体域一维模型和固体域二维轴对称有限元模型,开发了一种流热固耦合计算方法,实现了... 航空发动机在起飞前需要在地面保持较高转速进行暖机,否则将造成起飞过程中的推力下降。针对上述问题,以小涵道比涡扇发动机核心机为对象,结合发动机流体域一维模型和固体域二维轴对称有限元模型,开发了一种流热固耦合计算方法,实现了发动机主流道、空气系统和多部件热分析及变形分析的跨尺度耦合仿真。仿真结果表明:叶尖间隙大于设计值是造成起飞阶段发动机推力下降的主要原因。暖机能够减小起飞过程中的叶尖间隙,高压涡轮效率提升0.85%,压气机效率提升0.5%,进而促使高压转速最大提升0.51%,增大了核心机流量,降低了发动机的涵道比,最终导致发动机起飞阶段的最小推力上升2.4%。研究结果进一步表明,增加暖机时间或增加暖机转速均可提升起飞推力,但暖机转速小于0.75时无法通过增加转速减小高压涡轮叶尖间隙。最后基于序列二次规划算法,构建了以推力需求为约束条件的暖机参数优化模型,实现了不同工况下最短暖机时间与转速的优化。 展开更多
关键词 涡扇发动机 暖机 叶尖间隙 流热固耦合 过渡态
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高温矿井围岩隔热巷道非稳态温度场研究
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作者 游波 王思奇 +3 位作者 高科 唐明云 韩巧云 宋昱辰 《中国安全科学学报》 北大核心 2026年第1期81-87,共7页
为探究铺设泡沫浆体隔热层对高温矿井围岩温度场的影响,利用傅里叶定律建立围岩-隔热层-巷道非稳态传热微分方程及泡沫浆体隔热层-巷道二维非稳态传热微分方程,运用有限差分法离散求解微分方程,以探究铺设泡沫浆体隔热层后的围岩温度变... 为探究铺设泡沫浆体隔热层对高温矿井围岩温度场的影响,利用傅里叶定律建立围岩-隔热层-巷道非稳态传热微分方程及泡沫浆体隔热层-巷道二维非稳态传热微分方程,运用有限差分法离散求解微分方程,以探究铺设泡沫浆体隔热层后的围岩温度变化及初始温度对泡沫浆体隔热层的影响。结果表明:由于泡沫浆体隔热层导热系数小,随着时间的变化,温度易趋于稳定;与泡沫浆体隔热层相邻的岩层间的温度差值较大,且泡沫浆体隔热层厚度越大岩体温度越高,可见铺设泡沫浆体隔热层阻碍了一定热量向巷道传递,使岩体温度梯度增加;当泡沫浆体隔热层初始温度更接近风流温度时,泡沫浆体内部温度变化梯度较小,可在较短时间内达到稳态。 展开更多
关键词 高温矿井 围岩 隔热巷道 非稳态 温度场 泡沫浆体
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THE DECOMPOSITION OF STATE SPACE FOR MARKOV CHAIN IN RANDOM ENVIRONMENT 被引量:6
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作者 胡迪鹤 《Acta Mathematica Scientia》 SCIE CSCD 2005年第3期555-568,共14页
This paper is a continuation of [8] and [9]. The author obtains the decomposition of state space X of an Markov chain in random environment by making use of the results in [8] and [9], gives three examples, random wal... This paper is a continuation of [8] and [9]. The author obtains the decomposition of state space X of an Markov chain in random environment by making use of the results in [8] and [9], gives three examples, random walk in random environment, renewal process in random environment and queue process in random environment, and obtains the decompositions of the state spaces of these three special examples. 展开更多
关键词 Markov chain in random environment recurrent state transient state DECOMPOSITION
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一种基于间断Galerkin方法的随机电磁暂态仿真算法
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作者 王旭辉 张晓艳 +1 位作者 陈鹏伟 许昭 《中国电机工程学报》 北大核心 2026年第2期608-619,I0013,共13页
高比例可再生能源与高比例电力电子装备接入背景下,不确定性已成为电力系统发展的显著特征之一。为在电磁暂态时间尺度实现对多类型随机激励及相应系统动态过程的高效模拟,文中在分析随机电磁暂态模型基本特点与数值求解方法限制性的基... 高比例可再生能源与高比例电力电子装备接入背景下,不确定性已成为电力系统发展的显著特征之一。为在电磁暂态时间尺度实现对多类型随机激励及相应系统动态过程的高效模拟,文中在分析随机电磁暂态模型基本特点与数值求解方法限制性的基础上,引入仿真间隔概念,提出分段线性插值的伪Wiener过程构造方法和仿真间隔内参数随机迁移过程的ODE描述方式,实现Wiener过程大步长近似模拟和SDE低复杂度求解;其次,利用高阶收敛对仿真步长的松弛,设计采用Stratonovich型随机积分和间断Galerkin方法的大步长随机电磁暂态仿真算法;最后,以三相并网VSC电路与简单辐射状直流配电系统为测试对象,通过对比确定性和随机电磁暂态仿真轨迹、算法复杂度与仿真耗时,验证所提随机电磁暂态仿真算法在效率提升和精度保持方面的有效性。 展开更多
关键词 电磁暂态仿真 随机微分方程 伪Wiener过程 状态空间分析法 间断GALERKIN方法
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出风道性能优化对挡风玻璃除霜性能影响分析 被引量:1
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作者 孙城 李文超 《机械设计与制造》 北大核心 2026年第1期77-83,共7页
影响汽车挡风玻璃除霜性能的因素有很多,其中空调出风口处参数和结构是很重要因素,直接影响了除霜性能的好坏。这里以某款SUV汽车为研究对象,针对其原始风道除霜效果不达标的问题,提出了两种优化后的风道方案B和C,运用CFD仿真软件的STAR... 影响汽车挡风玻璃除霜性能的因素有很多,其中空调出风口处参数和结构是很重要因素,直接影响了除霜性能的好坏。这里以某款SUV汽车为研究对象,针对其原始风道除霜效果不达标的问题,提出了两种优化后的风道方案B和C,运用CFD仿真软件的STAR-CCM+对所提方案进行了仿真计算分析,稳态计算分析结果表明方案C的效果更好。在此基础上对方案C进行瞬态计算分析,模拟出方案C的除霜过程。然后对方案C的除霜效果进行试验验证,试验结果与仿真结果符合,表明所提方案确实优于原方案A,也说明所建计算仿真模型是合理和正确的。 展开更多
关键词 STAR-CCM+ 除霜性能 气流瞬态仿真 气流稳态仿真
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The Classification of States for Markov Chain in Random Environments and m-irreducible
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作者 WANG Weigang HU Dihe 《Wuhan University Journal of Natural Sciences》 CAS 2007年第3期402-406,共5页
First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is stu... First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is studied. We also give several conditions that can imply a state is recurrent and positive recurrent. And then the period of a state is discussed and we obtained that under the condition of m-irreducible, for any two states in x, they have the same period. 展开更多
关键词 Markov chain in random environment m-irreducible recurrent stat transient state positive recurrent
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