In order to study the primary resonance and primary parametric resonance of current-carrying conductor subjected to harmonic excitation and ampere force, the Mathieu-equation of the system is derived first.
研究受简谐激励的二长直电流间载流导线的主共振主参数共振问题，应用动力学方法建立载流导线受外部激励和安培力的Mathieau方程。
And the traditional passive filter`s function is also limited for avoiding the resonance and harmonic enlarging. The auto-compensator and harmonics shielding converter transformer can be used to solve these problems, which is based on the principle of the winding ampere and turn`s balance. This paper elaborates this kind of transformer filter mechanism. In the view of the HVDC system, a new winding connection plan is proposed, and the filter optimization model is created.
作者基于自耦补偿与谐波屏蔽的换流变压器，针对某实际的HVDC模拟系统，提出了与该变压器配套的滤波装置的接线方案，并将外罚函数法和遗传算法相结合，对上述滤波装置进行优化设计，建立了以初期投资最小为优化目标、满足系统无功需求的滤波器优化配置的数学模型。
This paper describes the formation of the harmonic current in trolley wire and the developing process of the harmonic resonance, also the analysis of the transmission equation of the harmonic current.
本文叙述了接触网牵引电流谐波的产生及谐振过程，分析了谐波电流的传输方程。
What's more, this solution technique is available to obtain the potential subharmonic resonance and it overcame difficulties of traditional analytic Harmonic Balance Method based on the describing functions in resolving superharmonic and subharmonic response.
克服了传统的解析谐波平衡法基于描述函数进行而难以求解一般周期响应和次谐波响应的缺点。
Based on resonance Raman spectra, by on-body measuring the second harmonic of stretching vibration of carbon-carbon conjugated double bond in lycopene and β-carotene, the content of lycopene and β-carotene can be obtained according to the integrated intensity of each component calculated by software.
利用共振拉曼光谱技术，通过在体测量番茄中的番茄红素和β-胡萝卜素 C≡C 碳碳共轭双键伸缩振动的二次谐波，用软件获得每种成分光谱的积分强度而得到番茄红素和β-胡萝卜素的含量，为在体检测同种基团成分含量提供一种方法。
While working, the whole ultrasonic oscillation transmission is in state of resonance, and does harmonic oscillation.
工作过程中的超声振动系统整体处于谐振状态，超声传递系统做简谐振动。
To solve the above problems, a novel resonance injection type hybrid active power filter is presented, it allows the energy exchange between the DC-side capacitor and grid, DC-side voltage will be stabilized after the proposed control method base on the regulation of reactive current is adapted. On the other hand, a new current control method is proposed which is based on the control of error between injection current and harmonic current compensated by passive power filter using recursive PI.
在此基础上结合提出的基于基波无功电流闭环调节的直流侧电压控制方法，保证了直流侧电压的稳定；提出了采用递推积分将无源滤波器作用后电网谐波电流与注入支路补偿电流进行闭环比较控制以获得参考电流的方法，减小了误差，提高了系统的控制精度。
The invention relates to a control method for series compound active electric filter with a base wave by-pass channel, which is used to control the inverter, has no base wave current passing by in the series compound active electric filter in spite of if the electric network and the load are balanced or not, it avoids from the resonance between the base wave by-pass channels and the inverter when it restrains the harmonic wave, thus the capacitance of the inverter and the cost of the machine are decreased, the efficiency of the inverter is upgraded.
带基波旁路通道的串联混合有源电力滤波器控制方法，是要解决不管电网及负载平衡与否，均控制带基波旁路通道的串联混合有源电力滤波器中的逆变器不流过基波电流，在抑制谐波的同时避免基波旁路通道和逆变器发生谐振，从而降低逆变器容量和整机的成本，提高逆变器效率。
The Gnuplot software is introduced in the teaching of power electronics, the harmonic component waveform and their composition waveform are plotted by using this software so that students have a clear understand on basic harmonic concept; impedance diagram also is plotted so that it is easy to find the resonance point and to analyse the resonance.
在掌握傅立叶级数数学表达式的基础上，结合直观的谐波波形，可以较好地促使学生理解和掌握谐波的基本概念。1 Gnuplot软件介绍Gnuplot是一个功能强大的绘图软件包，可在Windows，Linux及Dos环境下使用，有png，gif，TeX，ps，pdf等多种输出格式。
It is important to study the super-harmonic resonance s of the system in the engineering.
达芬系统是自激系统的一个典型例子，研究多频激励下该系统的超谐共振在实际工程中很有现实意义。
The resonance occurring possibility of harmonic current with a harmonic frequency must be considered when reactive compensation was done under the condition of harmonic content less than the national standard permitting value because the resonance may great amplify harmonic current which will damage capacitor and load or even power network.
一般玻璃工厂在谐波含量没有超过国标的情况下做无功补偿时，应考虑谐波电流在某次谐波频率下发生谐振的可能性，因为谐振的发生会使谐波电流大幅度增大，不仅危害电容器，同时对负载和电网产生严重的损坏。
A great amount of shunt capacitor banks are running in power system. Because of their capacitive impedance and their interaction with power system harmonic, the shunt resonance or serial resonance harmonic is produced and the harmonic current enlarged. It will damage capacitors and electrical devices.
在电力系统中运行着大量的并联电容器组，由于电容器组的阻抗呈现容性，它与电力系统中的谐波容易产生相互影响，发生谐波的并联谐振或串联谐振和电容器对谐波电流的谐波放大，造成电容器和电气设备的损坏。
The approximate solution of unautonomous equation with different resonance response under harmonic excitation is obtained by the method of multiple scales, and the stability of main resonance stable state of motion is studied.
运用多尺度法求解谐波激励下非自治系统在几种不同共振响应下的近似解，同时分析了主振系统稳态运动的稳定性。
When the second-harmonic resonance occurs, the oscillation system can be excited into resonance by the external excitation whose frequency is far from the innate frequency of the system.
次谐共振是非线性振动系统特有的现象，在发生次谐共振时，系统可以被远大于或远小于固有频率的激振力激起强烈的共振。
Since a current not containing higher-harmonic components in a transition period flows as a VCM current that flows into the voice coil, vibromotive force can be easily suppressed by shifting a structural resonance point of the entire disk drive including the actuator assembly.
由于在过渡周期P2中，不包含高次谐波分量的电流作为流入音圈中的VCM电流流动，通过移动包括致动器组件的整个磁盘驱动器的结构谐振点，易于抑制起振力。
Them, it introduces Three Phase Ferromagnetic resonance circuit thoroughly and makes a further analysis of its generation of high harmonic, harmonic ferroresonance and the mathematical model of subharmonic.
然后详细地介绍了三相铁磁谐振电路，对其所产生的谐波谐振、基波谐振、分频谐波谐振建模，做了进一步的分析。
Language diagram: Normal vowels were characterized by sine harmonic wave, even and regular flow mark, clear first and second resonance peaks and little noise in high frequency area above 4000 Hz.
语图：正常元音语图特点为：谐波呈正弦，均匀，规律的波纹状，第1、2共振峰带明显而清楚，4 000 Hz以上的高频区噪声成分极少。
Further more, MSCR was used to analyze weak MIDC operation problems, for example, voltage stability, transient over-voltage, and harmonic resonance. It proved the indices were effective, and can make contribution to power system planning and operation.
最后，通过理论分析和算例仿真说明利用多馈入短路比指标判断电压稳定、动态过电压、谐波谐振的有效性，证明所提出指标的合理性及在电网规划和运行中的重要作用。
3 Superharmonic resonance of wire subjected to harmonic excitation in temperature field is studied.
研究输电线在温度场中谐扰力作用下的3次超谐共振问题，应用动力学方法建立温度场中受谐扰力作用输电线的非线性振动。
The distribution of gear's contact stress, root stress, and contact engagement line in the engagement situation of gear pairs, were obtained on the base of explicit integration method. 3. Adopting the method of system matrix, the torsional vibration differential equation of general shafting was gained. The simple harmonic forms of excitation torque under the normal combustion or piston flameout of in-line engine and v-type engine were analysed. The decoupled algorithm of free vibration and forced vibration and the solution to the vibration damper's energy of resistance and the off-resonance calculation were studied. The sensitivity formulations of the natural frequency and vibration mode to physical parameters of system were derived by solving the eigenvalue problem. These sensitivity formulations provided the theoretical base for the dynamic modification of structure.
运用系统矩阵法建立了轴系的扭振微分方程，并对直列和V型发动机在正常发火和气缸熄火工况下的激振力矩进行了详细的简谐分析；基于精确方法推导了自由振动和强迫振动的解耦算法，给出了能量法计算中的减振器阻尼功求解和非共振计算方法；并研究了曲轴系扭振非线性分析中的变惯量问题，得到了单缸转动惯量的精确求解公式以及变惯量和固有频率的关系式；最后，从特征方程和振型正交性出发，推导了固有频率和振型对轴系转动惯量和刚度等物理参数的灵敏度，为扭振系统的结构动力学修改提供了理论基础。