harmonic differential equation
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The stress was the study of the new methods of calculation the harmonic voltage and the harmonic current, and a new concept of filter ratio to evaluate the actual effect of single harmonic filter was raised considering the background harmonics. As well, the calculation mode of the single harmonic filter was also given based on the concept of filter ratio; it can offer effect data to evaluate the actual filter ratio of the single harmonic filter. At the same time, a method of designing the single harmonic filter was given, too, considering the background harmonics of the power system. In this paper, both the computer analysis and the proven had been done. And the result was shown to be that the voltage aberration and the harmonic current were decreased, and that the actual filter ratio of single harmonic filter was raised. The reason that we must consider the background harmonics when designing a single harmonic filter was also expatiated in this paper.
重点研究了考虑电网背景谐波下谐波电压、电流的计算方法,提出了用滤波率来评价单调谐滤波器安装容量利用率的概念,基于滤波率,分别给出了不考虑、考虑电网背景谐波时,单调谐滤波器的计算模型,为定量分析和评价单调谐滤波器的实际补偿效果提供了依据:并以此提出了考虑电网背景谐波的单调谐滤波器计算机辅助优化设计方法,并经计算机仿真分析、论证,减少了负载母线谐波电压畸变率和注入系统的谐波电流,有效地提高了单调谐滤波器的滤波效果,阐述了单调谐滤波器的设计过程中要考虑电网背景谐波的理论和实际意义。
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Harmonic Drive Technical Dynamic League Group Co., Ltd. is consisted of Beijing Feida CTKM Harmonic Drive Technology Innovation Co., Ltd., Beijing CTKM Harmonic Drive Co., Ltd. and other units. The group company is home to many experts, professors and researchers, who have been in the field of harmonic drive for years, and have had a number of key results of harmonic drive technology, including series harmonic drive products with 8 different structures. The group has the strongest capability in harmonic drive technology innovation, and has made important contributions to the development of China's harmonic drive technology.
由北京飞达克美谐波传动技术创新有限公司和北京中技克美谐波传动有限责任公司等单位组成的动态联盟集团公司集中了我国多年来从事谐波传动技术研究的专家,教授及科技人员,曾主持完成我国多项谐波传动技术成果,开发出八个不同结构的谐波传动系列产品,具有最强的谐波传动技术创新能力,为我国的谐波传动技术的发展做出了重大贡献。
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In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.
本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究,得出了许多有价值的结论,主要概括如下: 1、阐述了目前针对超声电机压电振子的主要建模方法,对压电振子动态特性的研究意义和必要性进行了论述,突出了本文研究内容的迫切性; 2、以压电陶瓷诱发弹性体发生弯曲变形为例,分析了压电陶瓷通过诱发应变来实现机电能量转换的机理;对基于纵弯模式的压电振子的运动及动力传递机理进行了分析; 3、基于模态假定,利用分析动力学的Hamilton原理,建立了面向直线超声电机压电振子的机电耦合动力学模型,并据此建立了压电振子的等效电路模型,导出了电参量与动力学特性参量的耦合方程,为压电振子与驱动电路的匹配提供了依据; 4、从压电陶瓷的本构方程出发,综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程,采用虚位移原理,建立了压电振子动态问题机电耦合场求解的有限元控制方程,为研究其大功率驱动下的非线性本构模型奠定了基础; 5、界定压电振子的动力学特性指标,对压电振子的机电耦合动力学模型参数进行计算及变参数仿真;依据等效电路模型,对压电振子的电学特性进行了仿真分析;通过有限元数值实验,对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析,找出了实现模态简并的激振频率;利用有限元控制方程,通过编程计算,对压电振子的力电耦合场参数进行了详细计算,得出了一些有价值的结论。
- 更多网络解释 与harmonic differential equation相关的网络解释 [注:此内容来源于网络,仅供参考]
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harmonic differential equation:低微分方程
harmonic curve 低曲线 | harmonic differential equation 低微分方程 | harmonic division 低分割
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quasi harmonic differential equation:拟低微分方程
quasi geodesic 拟测地线 | quasi harmonic differential equation 拟低微分方程 | quasi homeomorphic space 拟同胚空间