Harmonic balance method with alternating frequency/time domain technique for nonlinear dynamical system with fractional exponential

Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time(HB-AFT) domain technique has some advantages in dealing with nonlinear problems of fractional exponential models. By the HB-AFT method, a rigid rotor supported by ball bearings with nonlinearity of Hertz contact and ball passage vibrations is considered. With the aid of the Floquet theory, the movement characteristics of interval stability are deeply studied. Besides, a simple strategy to determine the monodromy matrix is proposed for the stability analysis.

Comparison of delay compensation methods for real-time hybrid simulation using frequency-domain evaluation index

The delay compensation method plays an essential role in maintaining the stability and achieving accurate real-time hybrid simulation results.The effectiveness of various compensation methods in different test scenarios,however,needs to be quantitatively evaluated.In this study,four compensation methods(i.e.,the polynomial extrapolation,the linear acceleration extrapolation,the inverse compensation and the adaptive inverse compensation)are selected and compared experimentally using a frequency evaluation index(FEI)method.The effectiveness of the FEI method is first verified through comparison with the discrete transfer function approach for compensation methods assuming constant delay.Incomparable advantage is further demonstrated for the FEI method when applied to adaptive compensation methods,where the discrete transfer function approach is difficult to implement.Both numerical simulation and laboratory tests with predefined displacements are conducted using sinusoidal signals and random signals as inputs.Findings from numerical simulation and experimental results demonstrate that the FEI method is an efficient and effective approach to compare the performance of different compensation methods,especially for those requiring adaptation of compensation parameters.

A Krylov Space-Based Finite Element Time Domain Method for Broadband Frequency Domain Solutions

A Krylov space based time domain method for wave propagation problems is introduced. The proposed method uses the Arnoldi algorithm to obtain broad-band frequency domain solutions. This method is especially advantageous in cases where slow convergence is observed when using traditional time domain methods. The efficiency of the method is examined in several test cases to show its fast convergence in such problems.

Frequency-time Domain Shielding Effectiveness of Materials and Their Strong Electromagnetic Field Test

To describe the shielding ability of materials accurately and comprehensively,the frequency-domain and time-domain shielding effectiveness(SE) of material is investigated.The relevance between them was analyzed based on the minimum phase method,and the time-domain SE can be derived from frequency-domain SE.The SE of an energy selective surface(ESS) made of a novel material is investigated,and the relationship between SE and radiation field intensity are analyzed.The results show that not only material,but also the intensity of radiation electric field shows influence on SE in its frequency; for some materials,the dependence of SE on radiation electric field intensity needs to be considered.Therefore,it is necessary to research on the SE of shielding material in high-intensity electromagnetic environment.

Finite difference time domain method forward simulation of complex geoelectricity ground penetrating radar model

The ground penetrating radar(GPR) forward simulation all aims at the singular and regular models, such as sandwich model, round cavity, square cavity, and so on, which are comparably simple. But as to the forward of curl interface underground or “v” figure complex model, it is difficult to realize. So it is important to forward the complex geoelectricity model. This paper takes two Maxwell’s vorticity equations as departure point, makes use of the principles of Yee’s space grid model theory and the basic principle finite difference time domain method, and deduces a GPR forward system of equation of two dimensional spaces. The Mur super absorbed boundary condition is adopted to solve the super strong reflection on the interceptive boundary when there is the forward simulation. And a self-made program is used to process forward simulation to two typical geoelectricity model.

THE STUDY ON MEASURING TECHNIQUE OF PARTIAL DISCHARGE IN GAS INSULATED SWITCHGEAR USING ULTRA HIGH FREQUENCY METHOD WITH EXTERNAL SENSORS

Objective In order to find early latent faults and prevent catastrophic failures, diagnosis of insulation condition by measuring technique of partial discharge(PD) in gas insulated switchgear (GIS) is applied in this paper, which is one of the most basic ways for diagnosis of insulation condition. Methods Ultra high frequency(UHF) PD detection method by using internal sensors has been proved efficient, because it may avoid the disturbance of corona, but the sensor installation of this method will be limited by the structure and operation condition of GIS. There are some of electromagnetic (E-M) waves leak from the place of insulation spacer, therefore, the external sensors UHF measuring PD technique is applied, which isn’t limited by the operation condition of GIS. Results This paper analyzes propagated electromagnetic (E-M) waves of partial discharge pulse excited by using the finite-difference time-domain (FDTD) method. The signal collected at the outer point is more complex than that of the inner point, and the signals’ amplitude of outer is about half of the inner, because it propagates through spacer and insulation slot. Set up UHF PD measuring system. The typical PD in 252kV GIS bus bar was measured using PD detection UHF technique with external sensors. Finally, compare the results of UHF measuring technique using external sensors with the results of FDTD method simulation and the traditional IEC60270 method detection. Conclusion The results of experiment shows that the UHF technique can realize the diagnosis of insulation condition, the results of FDTD method simulation and the result UHF method detection can demonstrate each other, which gives references to further researches and application for UHF PD measuring technique.

Applying a Step Approach Method in Solving the Multi-Frequency Radiation From a Complex Obstacle

In this paper,a step approach method in the time domain is developed to calculate the radiated waves from an arbitrary obstacle pulsating with multiple frequencies.The computing scheme is based on the Boundary Integral Equation and derived in the time domain;thus,the time-harmonic Neumann boundary condition can be imposed.By the present method,the values of the initial conditions are set to zero,and the approach process is carried forward in a loop from the first time step to the last.At each time step,the radiated pressure on each element is updated.After several loops,the correct radiated pressures can be obtained.A sphere pulsating with a monopole frequency in an infinite acoustic domain is calculated first.This result is compared with the analytical solution,and both of them are in good agreement.Then,a complex-shaped radiator is taken as the studied case.The pulsating frequency of this case is multiple,and the waves propagate in half space.It is shown that the present method can treat multiple-frequency pulsation well,even when the radiator is a complex shape,and a robust convergence can be attained quickly.

Periodic response analysis of a misaligned rotor system by harmonic balance method with alternating frequency/time domain technique

A dynamic model is established for an offset-disc rotor system with a mechanical gear coupling, which takes into consideration the nonlinear restoring force of rotor support and the effect of coupling misalignment. Periodic solutions are obtained through harmonic balance method with alternating frequency/time domain(HB-AFT) technique, and then compared with the results of numerical simulation. Good agreement confirms the feasibility of HB-AFT scheme. Moreover, the Floquet theory is adopted to analyze motion stability of the system when rotor runs at different speed intervals. A simple strategy to determine the monodromy matrix is introduced and two ways towards unstability are found for periodic solutions: the period doubling bifurcation and the secondary Hopf bifurcation. The results obtained will contribute to the global response analysis and dynamic optimal design of rotor systems.

Control of Virtual Synchronous Generator for Frequency Regulation Using a Coordinated Self-adaptive Method

Power inverter adopting virtual synchronous generator(VSG)control can provide inertia support for distributed generation systems.However,it cannot take into account the dynamic regulation characteristics of frequency.Thus,when the system encounters a sudden change in load or disturbance,the dynamic process of frequency regulation will be greatly influenced.In view of this issue,an improved VSG control strategy based on a coordinated self-adaptive(CSA)method is proposed.The time domain analysis method is used to study the influences of virtual inertia and damping parameter perturbation on the system steady and dynamic performances.Furthermore,in order to make the control strategy suitable for large load changes and suppress frequency variations beyond the limit,the secondary frequency modulation is introduced into the control loop.Through the coordinated adaptive control of virtual inertia,virtual damping and frequency modulation,the dynamic performance of vSG frequency regulation can be obviously improved.Simulation and experiment results have verified the effectiveness of the proposed CSA control strategy.

Harmonic Balance Methods:A Review and Recent Developments

The harmonic balance(HB)method is one of the most commonly used methods for solving periodic solutions of both weakly and strongly nonlinear dynamical systems.However,it is confined to low-order approximations due to complex symbolic operations.Many variants have been developed to improve the HB method,among which the time domain HB-like methods are regarded as crucial improvements because of their fast computation and simple derivation.So far,there are two problems remaining to be addressed.i)A dozen of different versions of HB-like methods,in frequency domain or time domain or in hybrid,have been developed;unfortunately,misclassification pervades among them due to the unclear borderlines of different methods.ii)The time domain HB-like methods suffer from non-physical solutions,which have been shown to be caused by aliasing(mixture of the high-order into the low-order harmonics).Although a series of dealiasing techniques have been developed over the past two decades,the mechanism of aliasing and the final solution to dealiasing are still not well known to the academic community.This paper aims to provide a comprehensive review of the development of HB-like methods and enunciate their principal differences.In particular,the time domain methods are emphasized with the famous aliasing phenomenon clearly addressed.

介质粗糙面与组合目标宽带电磁散射特性研究

文中对介质粗糙面和组合目标的宽带复合电磁散射特性进行研究,通过数值计算得到了复合散射系数频率响应曲线。分析结果显示,后向复合散射系数在宽频带范围内随着频率的变化而产生振荡,粗糙面的高度均方根、介电常数、组合目标尺度、目标介电常数等因素对复合散射系数有显著的影响,且影响规律较为复杂。相比之下,粗糙面的相关长度对复合散射系数的影响较为微弱。当目标是理想导体时,频率响应曲线近似呈现出准周期性的振荡形态。

基于同步提取变换的地空频率域电磁信号幅度提取方法

地空频率域电磁法探测信号为多频非平稳信号,为了解决应用传统傅里叶变换方法提取其幅度时分辨率较差的问题,本文提出了基于同步提取变换(SET)的地空频域电磁信号幅度提取方法。该方法对电磁数据进行SET,得到高分辨率时频图,并利用能量算子使电磁数据时频谱能量更为集中;采用贪心算法提取脊线,得到时频图的高能量带;通过自回归模型自适应地补充了脊线中的0值,解决了由窗函数引起的端点效应问题。根据脊线位置的时频图复数值,得到各频率分量幅度随时间的变化,研究了不同信噪比情况下基于SET的地空频率域电磁信号幅度提取结果的准确性。结果表明:当信噪比≥10 dB时,幅度提取结果的平均相对均方根误差均小于5%;当信噪比<10 dB时,幅度提取结果的平均相对均方根误差在10%以内。提取效果良好。将此方法应用于新疆霍拉山隧道工程地空频率域电磁法探测中,成功提取了多频电磁信号各频率分量的幅度,与采用傅里叶变换提取非平稳信号幅度的方法相比,该方法有效地提高了幅度提取结果的分辨率。

直埋热水供热管道泄漏定位检测实验研究

选用傅里叶滤波法和小波阈值法进行了管道泄漏信号降噪和泄漏定位的对比研究。在DN300管路的实验直埋热水供热系统上进行了泄漏检测实验,采用小管径支管和调节阀模拟泄漏点、加速度传感器测量声波振动信号,依次选用2种滤波方法对直埋热水供热管道泄漏的声波振动信号进行数据降噪处理,讨论了泄漏信号降噪前后的信号频域特征和定位精度。在北京市某小区直埋供热管道进行了声波降噪泄漏检测工程验证,定位偏差不超过1.0 m。研究表明,傅里叶滤波法和小波阈值法对直埋热水供热管道泄漏定位的声波振动信号降噪处理效果显著,小波阈值法保持了全频段的信号特征,可获得更高的定位精度。

某广电发射塔风振响应分析

本文针对作用在广电发射塔的风荷载特点,采用线性滤波法(AR法)编制了风场模拟程序,合成了符合Davenport谱的风速时程曲线,可应用于高耸结构的脉动风荷载模拟。以某带平台广电发射塔为例,采用SAP2000建立有限元模型并计算结构的风振响应,对比不同计算方法下风振系数分布特点,可知对于质量刚度突变的高耸结构,采用时程分析与频域分析的风振系数吻合度非常好,说明在此类工程中可以直接采用考虑多振型计算的频域法计算风振响应。

基于ADI-FDTD法的探地雷达正演数值模拟及验证

探地雷达(GPR)是一种应用前景广泛、用于探测和定位地下物体的浅层地球物理方法。通过开展探地雷达正演模拟研究,可以获得复杂地下结构的探地雷达图像回波特征。时域有限差分(FDTD)法受到稳定性和收敛性条件的限制,导致效率和精度低。交替方向隐式-时域有限差分(ADI-FDTD)法克服FDTD法的稳定性限制,可以选择更大的时间步长来提高计算效率。从原理出发,对ADI-FDTD法进行公式推导,在基于ADI-FDTD法的基础上进行卷积完全匹配层(CPML)的结合。通过进行ADI-FDTD法的时间稳定性仿真和不同材质、不同填充介质的双管,沙槽正演模拟实验,结果表明,ADI-FDTD法可以保证时间无条件稳定性,相同情况下可采用更大的时间步长进行正演模拟,提高正演效率。对不同管线、不同材质情况下的正演剖面曲线特征进行解译分析,最后与沙槽实测进行对比,证明得到的探测解译结果与实际状况达到较好的吻合。

半潜式海洋平台疲劳影响因素分析

在海洋结构物疲劳评估时,频域谱分析法将交变应力峰值分布简单认为是窄带分布,不符合宽带海况特征,疲劳结果往往偏保守。全时域法虽然计算精度高,但整个过程过于耗时,很难应用在实际工程中。本文考虑到时域法和频域法在疲劳评估时各自的缺陷,给出一种时域-频域混合法,运用此方法对某半潜式海洋平台关键节点进行疲劳计算,并分析不同因素对疲劳损伤的影响。结果表明,不同浪向角和短期海况对半潜式海洋平台的疲劳损伤贡献度不同,贡献度大小与评估区域位置有关。所得结论为半潜式海洋平台的疲劳评估提供一定依据和参考。

基于微多普勒特征的直升机目标识别

微多普勒特征可为旋翼直升机的识别提供一种新的依据。现有针对旋翼直升机回波模型的研究仅限于矩形旋翼叶片尖端的微多普勒效应。首先,通过建立矩形尖端旋翼、锥形尖端旋翼以及抛物线扫掠尖端旋翼的全散射点回波模型,引入特征提取算子,设计“时频分析—归一化时频处理—频率‘投影压缩’—截断取模傅里叶变换”的方法,实现具有时移幅频不变特性的微动特征的提取。然后,基于交替方向乘子法,提出在目标分类中的压缩感知问题求解算法,并与传统的支持向量机方法进行对比分析,借助多个仿真实验验证所提出方法的有效性。

基于时频域分析的LSTM电力系统报警方法研究

为克服传统语音分析方法的局限性,文章采用基于时频域分析的长短时记忆网络模型,提出基于时频域分析的长短时记忆(Long Short-Term Memory,LSTM)电力系统报警方法。同时,在UrbanSound8K数据集上开展实验验证该方法的有效性。结果表明,该方法的准确性、精确度、召回率和F1分数等较高,表现出在正常和异常声音分类任务上的平衡性和稳定性。