Pull-In Time and Range of Any Order Generalized PLL

The general pull-in range and pull-in time expressions are derived versus the relevant system parameters and the initial detuning for any order loop with any type of phase detector by the quasistationary approach. Even though the pull-in time expression becomes more accurate as the loop's order becomes larger, it is correct also for second-and third-order loops provided that the initial detuning, supposed large, is approaching the pull-in range value.     

Improved Phase-Locked Loop Performance with Adaptive Phase Comparators

A major problem in phase-locked loop (PLL) design is to meet the requirements of both fast signal acquisition and good synchronous mode performance. This relation is reviewed for different types of phase comparators. As a result a new phase-and-frequency comparator is proposed. This comparator is based on an up-down counter principle and can be considered as an adaptive acquisition control circuit. The analysis of a PLL with the proposed phase comparator is based on an exact calculation method for the pull-in time. It is shown that fast signal acquisition is possible without affecting the filtering properties of the loop. Experimental results are given of the acquisition behavior of a second-order type-2 loop which show a good correspondence with the theoretical analysis.     

Phase Locked Loop Acquisition for a Noisy FM Signal

A method based upon the quasi-linearization technique of evaluating the pull-in characteristics of a phase locked loop for an angle modulated signal corrupted with Gaussian noise is presented. Experimental results along with formulas for calculating the locking range and locking time are also presented and they are in good agreement with the theoretical results. Some new findings regarding the dependence of the locking range and locking time on the modulating frequency are also incorporated.     

GPS频标比对系统的研制

应用GPS技术研制频标比对系统可对野外环境条件下的通信设备快速地进行时间频率校准.本文详细描述了系统中GPS频率标准源以及比相法、时差法频标比对单元的设计方案和软件设计思路,并给出了设计方案中关键技术解决的途径.该系统经校准完全能够满足要求,并在计量技术机构范围中得到应用.     

求解循环对称结构的伪单元法

 对于循环对称结构的求解,在引入循环对称条件时,需对有限元总刚进行行变换和列变换,这将改变总刚的带宽和非零元素的位置。本文提出了求解循环对称结构的伪单元法,用三种伪单元实现上述各变换项的改变量,无需形成完整的总刚矩阵,从而大大地提高了计算机的解题能力。文中用算例进行了说明。     

静电驱动悬臂梁式微开关的动态特性分析

通过建立静电驱动悬臂梁式微开关的非线性动力学简化模型,利用数值方法求解出系统的动态响应特性,得到了动态吸合电压和开关吸合时间的关系,并详细分析了其动态响应中的非线性现象以及动态特性和静态特性的不同。计算结果表明,动态吸合电压并不是唯一的;随着动态吸合电压的增大,吸合时间逐渐变小;微悬臂梁的动态响应周期随着驱动电压的增大而增大;动态临界电压低于静态临界电压,这些动态特性与静态特性有着明显的不同。     

微扑翼飞行器驱动机构的设计与动态特性研究

微扑翼飞行器是一种新概念的飞行器,在应用技术上它超出了传统的飞机设计和气动力的研究范畴,同时开创了微机电系统技术(MEMS)在航空领域的应用。微扑翼驱动机构的设计、制作及其动态特性研究是飞行器设计中的关键环节。本文的研究对象是一个静电驱动的胸腔式微扑翼机构,由于这种结构存在着强烈的静电和机械两个物理场的非线性耦合,因此系统的动态特性是非常复杂的。本文从理论上分析了系统奇点的存在与稳定性;在相空间中分析了无阻尼及有阻尼系统的非线性动态特性;研究了初始条件和阻尼对临界拉入电压的影响;最后分析了在不同激励电压信号下系统的响应。所得研究结论对微扑翼驱动机构的设计、制作和应用提供了一定的理论依据。      

Symmetric Mach reflection configuration with asymmetric unsteady solution

Symmetric Mach reflection in steady supersonic flow has been usually studied by solving a half-plane problem with the symmetric line treated as reflecting surface, thus losing the opportunity to discover antisymmetric flow structures. Here in this paper we treat this problem as an entire-plane problem. Using an unsteady numerical approach, we find that the two sliplines exhibit antisymmetric unsteadiness if the Mach stem height is small while the flow remains symmetric if the Mach stem height is large. The mechanism by which disturbance, generated in the downstream of the flow duct between the two sliplines, propagates upstream is identified and it is also shown that the interaction between the transmitted expansion waves and the sliplines increases the amplitude of the unstable modes. The present study suggests a new type of compressible jet that deserves further studies.     

Experimental study of the aerodynamics of a wing with various configurations of wingtip triangular extension

In this paper, we discuss the main ways of improving the aircraft aerodynamics. The results of a physical experiment are presented that is aimed to verify the theoretical results obtained earlier on the possible improvement in a seaplane wing model lift-to-drag ratio, by using a deflectable triangular extension along the wing leading edge near the wingtip. We confirm the slight effectiveness of using the wingtip leading edge triangular extensions on the nature of flow around the wing.     

K-Band Tracking System for Domestic Satellite Communication System

System design and operational results of a tracking system for a K-band Earth station antenna with a diameter of 11.5 m are discussed. Monopulse tracking technique using higher order waveguide modes is utilized. An investigation was conducted to clarify the rainfall effect and the effect of oscillator phase noise on the tracking receiver. An autotrack system is to be manufactured on the basis of these studies. Experiments were performed using the medium capacity communications satellite. No cross coupling was seen in the pull-in patterns. Sufficiently good results were obtained in tracking accuracy: less than 0.005° (peak value) under normal conditions, and less than 0.01° under an average wind velocity of more than 20 m/s.     

Generic functional modelling of multi-pulse auto-transformer rectifier units for more-electric aircraft applications

The Auto-Transformer Rectifier Unit (ATRU) is one preferred solution for high-power AC/DC power conversion in aircraft. This is mainly due to its simple structure, high reliability and reduced kVA ratings. Indeed, the ATRU has become a preferred AC/DC solution to supply power to the electric environment control system on-board future aircraft. In this paper, a general modelling method for ATRUs is introduced. The developed model is based on the fact that the DC voltage and current are strongly related to the voltage and current vectors at the AC terminals of ATRUs. In this paper, we carry on our research in modelling symmetric 18-pulse ATRUs and develop a generic modelling technique. The developed generic model can study not only symmetric but also asymmetric ATRUs. An 18-pulse asymmetric ATRU is used to demonstrate the accuracy and efficiency of the developed model by comparing with corresponding detailed switching SABER models provided by our industrial partner. The functional models also allow accelerated and accurate simulations and thus enable whole-scale more-electric aircraft electrical power system studies in the future.     

Biphase Sequence Generation with Low Sidelobe Autocorrelation Function

Since Barker-like sequences could not be found for sequence lengths greater than 13, radar system designers have been searching for biphase sequences with discrimination (ratio of the magnitude of the mainlobe to the magnitude of the peak sidelobe of the autocorrelation function of the sequence) greater than 13. We present new results on biphase Legendre sequences for all prime lengths. The results of the paper are as follows. 1) Two lemmas on the symmetric properties of the Legendre sequences are stated and using these lemmas and simple rules of modulo arithmetic, a method is suggested for generating long sequences which does not require multiplications and divisions. 2) From the properties of autocorrelation function of the cyclically shifted Legendre sequence (LS) for prime lengths, a computationally efficient method is evolved for carrying out systematic search for sequences with discrimination greater than 13. The proposed method reduces the computational load by a factor of approximately 16. Using these techniques, we generated codes up to length 1019. In each case we searched for the code which gives the maximum discrimination for that length.     

Performance measure for Markovian switching systems using best-fitting Gaussian distributions

This paper considers the theoretical posterior Cramer-Rao lower bound (PCRLB) for the case of tracking a manoeuvring target with Markovian switching dynamics. In a recent article [2] it was proposed to calculate the PCRLB conditional on the manoeuvre sequence and then determine the bound as a weighted average, giving an unconditional PCRLB. However, we demonstrate that this approach can produce an overly optimistic lower bound, because the sequence of manoeuvres is implicitly assumed known. Motivated by this, we develop a general approach and derive a closed-form estimate of the PCRLB in the case of Markovian switching systems. The basis of the approach is to, at each time step, replace the multi-modal prior target probability density function (pdf) with a best-fitting Gaussian (BFG) approximation. We present a recursive formula for calculating the mean and covariance of this Gaussian distribution, and demonstrate how the covariance increases as a result of the potential manoeuvres. We are then able to calculate the PCRLB for this BFG model using an existing Riccati-like recursion. Because of the BFG approximation, we are no longer guaranteed a bound and so we refer to our estimate as an "error performance measure" rather than a bound. The presented approach is applied both to filtering and smoothing cases. The simulation results indicate a very close agreement between the proposed performance measure and the error performance of an interacting multiple model estimator.     

Cycle slip performance of digitally implemented phase detectors onAWGN channel

Cycle slip performance of digitally implemented phase detectors on additive white Gaussian noise (AWGN) channel is investigated. The performance measure evaluated is the mean cycle slip time of a first-order phase-locked loop. An equivalent phase detector model with state-dependent loop noise is employed. It is shown that this working basis is vital to arrive at correct results. Numerical results for triangular and saw-tooth type phase detectors are reported and compared with those for the multiplier phase detector     

Interferences in Phase-Locked Loops

An analysis of the behavior of a second-order phase-locked loop is presented when an unwanted signal is added to the useful signal. Both signals are sinusoidal and unmodulated, and the analysis is made in the absence of additive noise. When the loop remains locked on the useful signal, a parasitic signal exists at the phase detector output. This signal produces a parasitic phase modulation of the VCO and a static phase error in the loop. The parasitic signal amplitude, the parasitic phase modulation index, and the static phase error are calculated. A necessary condition for the loop to remain in lock is derived. When the loop is initially unlocked, locking can occur either on the useful signal or on the unwanted signal, depending on the amplitude ratio and the frequency difference of the two signals. A formula allowing one to compute the pull-in time is obtained. When the loop locks on the useful signal, acquisition can be slower or faster than in the absence of an unwanted signal. The same phenomenon is observed when the loop locks on the unwanted signal.     

Signal-to-Noise Ratio of Arbitrary Power-Series Nonlinear Amplifier

A general analysis of the effect of an arbitrary power-series nonlinear amplifier followed by a coherent mixing device on signal-to-noise ratio (SNR) is performed. An expression is derived for the improvement factor which is defined as the logarithm of the ratio of the output SNR to the input SNR. This expression is applicable to the coherent amplitude detector and phase locked loop as well as noncoherent amplifier by appropriate selections of the detection angle. Moreover, the improvement factor can be obtained for noise with an arbitrary amplitude distribution. To demonstrate the applicability of this analysis, the improvement factors of the nonlinear amplifiers such as a power-law amplifier and a power-series amplifier with positive and negative discriminations are numerically calculated for the cases where the input noise amplitude distributions are Rician and triangular.     

Pull-In Behavior of Third-Order Generalized Phase-Locked Loops

This paper analyzes third-order phase-locked loops with an arbitrary phase-detector characteristic and imperfect integration by the quasi-stationary approach with a suitable linearization of the non-linear differential equation deseribing the loop behavior; ideal integration is also considered. The main feature of this technique is the use of an easy mathematical approach which allows a direct physical insight into acquisition behavior and the development of simple expressions for the time and pull-in range.     

Development of an efficient contact-friction model for high-fidelity cargo airdrop simulation

High-fidelity cargo airdrop simulation requires the contact dynamics between an aircraft and a cargo to be modeled accurately. This paper presents a general and efficient contact-friction model for simulation of aircraft-cargo coupling dynamics during airdrops. The proposed approach has the same essence as that of the finite element node-to-segment contact formulation, which leads to a flexible, straight forward, and efficient code implementation. The formulation is developed under an arbitrary moving frame with both the aircraft and the cargo being treated as general six-degree-of-freedom rigid bodies, and thus it eliminates the restrictions of lateral symmetric assumptions in most existing methods. Moreover, the aircraft-cargo coupling algorithm is discussed in detail, and some practical implementation details are presented. The accuracy and capability of the present method are demonstrated through three numerical examples with increasing complexity and fidelity.     

复杂外形的动态混合网格生成方法

本文将层推进方法、四分树方法和阵面推进法相结合,建立了二维复杂外形的动态混合网格生成方法.首先用层推进方法在运动物体附近生成贴体的四边形网格,然后用四分树方法在外场生成自适应的矩形网格,而中间由三角形网格过渡.三角形网格由阵面推进法生成,并由节点松弛和"对角线交换"方法进行优化.当物体运动时,贴体的四边形网格随物体运动而运动,而外场的矩形网格保持静止.中间过渡层的三角形网格随物体运动而变形.当物体运动位移较大导致出现质量较差的单元甚至导致网格相交时,则在局部重新生成网格.利用上述动态混合网格生成方法,生成了多种含相对运动的复杂外形的动态混合网格,网格质量令人满意.     

基于部件匹配技术的涡扇发动机起动过程数值模拟

为了克服通用部件特性模型计算不同的发动机起动过程带来的计算误差,本文发展了基于发动机部件匹配仿真原理的一维数学模型和软件,研究涡轮发动机的起动过程。并对某小型涡扇发动机起动过程进行了计算分析。从计算结果看出,本文发展的方法捕捉到了起动过程高压压气机出口压力在达到稳定之前出现的跳越现象,而且计算结果还表明,在起动的初始段,燃烧室存在富油燃烧现象。