Generalized approach to the small signal modelling of DC-to-DCresonant converters

A generalized small-signal analysis approach that is based on both the Taylor's series expansion and the state-plane diagram is presented. A generalized discrete small-signal model for a double-ended DC-to-DC resonant converter operating in the continuous conduction mode is also given. Based on the model derived, the frequency responses for two transfer functions, namely, the line-to-output and the control-to-output transfer functions, are obtained. The technique is verified by applying it to the conventional series resonant converter whose small-signal analysis is known     

Analysis and prediction of regulation in a multiple-outputcurrent-mode controlled DC-to-DC converter

A technique is developed for predicting the closed-loop steady state output voltage regulation of a multiple-output current-mode controlled converter. The proposed model accounts for the current loop, the voltage loop, and the integrator in the compensation scheme. This method allows tradeoffs with respect to regulation between different components or feedback configurations to be evaluated during the design of a converter. Experimental verification on a three-output current-mode controlled push-pull converter with single output voltage feedback is provided     

基于DPS控制的双向全桥直流变换器的建模

为方便双向全桥直流变换器的稳定性分析以及闭环控制器的设计,利用广义状态空间平均法对工作在双重移相控制方式下的双向全桥直流变换器进行了建模研究,得到了系统的大信号模型,通过线性化处理,得到系统小信号模型,并根据小信号模型进行了控制器设计。利用Matlab仿真验证所建立模型的准确性以及闭环系统的稳定性,仿真结果表明,小信号模型能准确跟随系统输出,且闭环系统符合GJB 181B要求。     

Input-Filter Design for Switching Regulators

The interaction between the input filter and the control loop of switching regulators often results in detrimental effects, such as loop instability, transient response, and audio-signal-rejection rate, etc. A small-signal average model is derived to investigate these effects. Design constraints of an input-filter and switching-regulator system are formulated. An optimum low-pass and light-weight filter configuration is proposed.     

Dynamic modeling and controller design of flyback converter

The accurate dynamic modeling and quantitative controller design for an isolated converter with optocoupler isolation in its feedback loop are considered to be difficult issues, since the transfer characteristics of some blocks are highly nonlinear and difficult to be modeled analytically. First a current-mode controlled flyback converter with an optically isolated feedback path is designed. Then the equivalent control system block diagram is constructed, and its block transfer functions are found. To increase the accuracy, the dynamic models of some critical blocks are estimated from measurements. In order to facilitate the controller design, the model simplification is further made. Finally, based on the reduced dynamic model, a quantitative design procedure is derived to find the parameters of the voltage controller to meet the prescribed regulating specifications. Validity of the estimated dynamic model and the proposed controller design approach is demonstrated by some simulation and experimental results     

Controlled-Quantity Concept in Small-Signal Analysis of Switching Power Cells

The notion of a controlled quantity of a switching power cell leads to a set of six (characteristic) coefficients containing all the information on the small-signal, low-frequency behavior of any linearizable cell and defining a universal linear equivalent model of the cell. The result is a dramatic simplification of the small-signal analysis and systematization of the cells. As an illustration, three sets of characteristic coefficients of a boost cell are given: operating in heavy mode and with duty ratio, operating with maximum inductor current, and operating with the period of the switching frequency as the controlled quantity.     

Analysis of a PWM-resonant converter

When a parallel resonant tank is excited by a bipolar current pulse train a sinusoidal voltage develops across the tank whose amplitude depends on the duty cycle of the pulse train. An isolated secondary can be derived by applying the tank voltage to an isolation transformer whose magnetizing inductance acts as the resonant inductor of the tank circuit. A dc output voltage is obtained after rectification and filtering of the sinusoidal secondary voltage and regulation is achieved by controlling the duty cycle of the pulse train. The sinusoidal nature of the voltage across the isolation transformer alleviates some of the noise problem associated with parasitic capacitances of an isolation transformer when operated with square voltage waveform. In this work the dc and small-signal analysis of the converter is given and an equivalent small-signal circuit model is derived. Experimental results which confirm the validity of the model are presented.     

Control design and closed-loop analysis of a switched-capacitorDC-to-DC converter

The theoretical and practical details involved in the control design and closed-loop analysis of a step-down switched-capacitor (SC) DC-to-DC converter are presented. The state-space averaging technique is applied to extract the small-signal dynamics of the power stage, and a graphical loop gain method is used to design the feedback compensation and analyze the closed-loop performance of an SC converter. The results of the control design and closed-loop analysis are substantiated by experiments using a prototype SC converter     

电压变化时Boost PFC变换器的混沌和分叉现象

利用小信号模型对开关电源控制器进行设计过程中常出现混沌分叉等不稳定现象。以工程设计的角度,建立了平均电流型BoostPFC的精确电路模型,分析了系统中存在的非线性现象,结合非线性分叉和混沌理论对这类非线性现象进行了详细的分析和推导。     

Simplified analysis of PWM converters using model of PWM switch.Continuous conduction mode

A circuit-oriented approach to the analysis of pulsewidth modulation (PWM) converters is presented. This method relies on the identification of a three-terminal nonlinear device, called the PWM switch, which consists of only the active and passive switches in a PWM converter. Once the invariant properties of the PWM switch are determined, its average equivalent circuit model can be derived. This model is versatile enough to easily account for storage-time modulation of bipolar junction transistor(s) (BJTs); the DC- and small-signal characteristics of a large class of PWM converters can then be contained by a simply replacing the PWM switch with its equivalent circuit model. The methodology is very similar to linear amplifier circuit analysis, whereby the transistor is replaced by its equivalent circuit model     

General rules for signal flow graph modeling and analysis of dc-dc converters

Signal flow graph (SFG) nonlinear modeling approach is well known for modeling dc-dc converters. However, all possible SFGs of a given dc-dc converter system will not yield the generalized graph. A systematic procedure and guidelines for developing unified flow graph models of the dc-dc boost converters, from which complete behavior can be determined is presented. Usefulness of the proposed method is demonstrated through examples. As an illustration a 2-cell cascade boost and interleaved boost converter systems are taken as examples. Derivation of large, small-signal and steady-state models from generalized flow graph is also demonstrated. Large-signal model is developed and programmed in TUTSIM simulator. Large-signal, responses against supply and load disturbances are obtained. Experimental observations are provided to validate the proposed algorithm.     

DFIG在微电网中的电压控制策略与小干扰电压稳定性分析研究

为增强微电网小干扰电压稳定性,针对含双馈感应风力发电机(DFIG)的风光柴微电网,DFIG无功控制采用V-Q下垂控制并引入积分逻辑环节,同时计算变风速情况下DFIG有功功率对应的无功功率极限,对V-Q下垂控制与积分环节进行限幅。通过小干扰分析法找出了一对反映微电网电压响应特性的典型特征值,分析DFIG无功下垂系数取不同值时对典型特征值分布轨迹的影响。为了解决无功下垂系数取较大和较小值时带来的问题,经过参数改进后既促进了DFIG参与微电网调压的效果,又使微电网拥有更好的小干扰电压稳定性。最后在DIgSILENT/Power Factory仿真软件中搭建微电网模型,通过动态时域仿真验证了所提策略和方法对促进微电网调压以及提高微电网小干扰电压稳定性的有效性。     

CIECA: Application to Current Programmed Switching Dc-Dc Converters

Sundstrand Advanced Technology Corporation The current injection equivalent circuit approach (CIECA) to modeling switching converter power stages is extended to model the current programmed converter power stages operating in fixed frequency, continuous inductor conduction mode. To demonstrate the method, modeling is carried out for the buck, boost, and buckboost converters to obtain small-signal linear equivalent circuit models which represent both input and output properties. The results of these analyses are presented in the form of linear equivalent circuit models as well as transfer functions. Though current programmed converters exhibit single-pole response, the addition of artificial ramp changes converters to exhibit well damped two-pole response. This has been investigated for the first time using CIECA. The results of these analyses are presented in the form of linear equivalent circuit models as well as transfer functions.     

Large-Signal Transient Responses of a Switching Regulator

Analytical and experimental considerations of the large-signal transient responses of the buck-type switching regulator are described. The dynamic behavior under the large-signal condition is different from the small-signal operation because of the saturation characteristics of the pulsewidth modulator feedback controller. The effect of this nonlinearity is analyzed by dividing its operation into three modes. As a result the peak values of the inrush current and output voltage are obtained analytically both for the start-up and for the step change of the load condition.     

Stability analysis of parallel DC-DC converters

We develop analytic methodologies for stability analyses (using nonlinear and linear methodologies) of parallel dc-dc converters (under unsaturated and saturated operating conditions) using their switching model, discrete model (based on nonlinear map), and averaged model. We describe the approach for investigating the behavior of the stable and unstable equilibrium solutions of a parallel dc-dc converter under parametric variations and illustrate the methodology using a load-sharing dc-dc buck converter. For unsaturated operating condition, using bifurcation analysis and Floquet theory, we predict the stability boundary of the nominal solution, determine its postinstability dynamics, and investigate the dependence of the converter dynamics on its initial conditions. Subsequently, we demonstrate the differences in the predictions of the instabilities and instability boundaries using (conventional) linearized averaged (small-signal) and discrete and switching models.     

基于DDS和DFT的水声换能器小信号阻抗测量

针对水声测量中换能器阻抗和功率放大器的匹配问题,以及换能器老化状况诊断的实际问题,利用DDS(直接数字合成)和DFT(离散傅里叶变换)技术,研究了使用小信号下换能器在不同频率点上的频率响应情况,通过执行多次测量,确定换能器的幅频响应特性曲线,以此分析换能器的老化情况,同时可以对功率放大器输出匹配电路设计提供参考.通过相...     

Robust controller design for a series resonant converter

Because of their reduced switching losses, allowing a higher operating frequency, dc-to-dc resonant converters have been used extensively in the design of smaller size and lighter weight power supplies. The steady state and dynamic behavior of both the conventional series and parallel resonant converters have been thoroughly analyzed and small-signal models around given nominal operating points have been obtained. These models have been used in the past to design controllers that attempted to keep the output voltage constant in the presence of input perturbations. However, these controllers did not take into account either load or components variations, and this could lead to instability in the face of component or load changes. Moreover, prediction of the frequency range for stability was done a posteriori, either experimentally or by a trial and error approach In this paper we use μ-synthesis to design a robust controller for a series resonant converter (SRC). In addition to robust stability the design objectives include rejection of disturbances at the converter input while keeping the control input and the settling time within values compatible with a practical implementation     

直升机后缘襟翼驱动器迟滞现象仿真与抑制

直升机后缘襟翼多采用压电驱动器作为驱动元件，但是在使用过程中压电驱动器迟滞会对其振动控制性能产生不利影响，因此针对压电驱动器迟滞开展了迟滞建模与抑制研究。通过实验研究了压电驱动器在不同驱动频率下的迟滞特性，采用Bouc-Wen模型对驱动器迟滞现象进行了建模，并采用粒子群算法（PSO）辨识模型参数，与实际测量迟滞曲线进行了对比，在10~60 Hz范围内所建立的迟滞模型能够较为精确地描述压电驱动器迟滞现象。建立了基于Bouc-Wen逆模型的前馈补偿控制与PID反馈控制相结合的复合控制策略，实验结果显示该控制策略能够在10~60 Hz较宽的频率范围内有效抑制该压电驱动器迟滞现象。建立了考虑驱动器迟滞的主动控制后缘襟翼振动控制动力学模型，并对中等速度稳态前飞条件下后缘襟翼振动控制性能进行了仿真，仿真结果显示驱动器迟滞会在一定程度上削弱振动控制性能，而采用复合控制可以提高后缘襟翼旋翼振动控制性能。     

高超声速飞行器俯冲段制导控制一体化设计方法

针对高超声速飞行器高速俯冲飞行段制导控制系统设计问题,建立了俯冲飞行段制导控制一体化低阶设计模型,提出了一种新颖的六自由度(6DoF)制导控制系统设计方法。基于目标-飞行器三维空间相对运动模型和坐标系转移关系建立了三维全耦合俯冲相对运动模型,推导得到了飞行器加速度在弹道坐标系三轴的分量与飞行器三通道角速率间的解析模型,进而结合飞行器绕质心动力学模型建立了以气动舵偏角为控制输入的俯冲飞行段制导控制一体化低阶设计模型。该制导控制一体化低阶设计模型降低了俯冲飞行段制导控制系统的模型阶数,减少了六自由度制导控制系统的设计参数,省略了传统设计方法中根据期望过载反求气动欧拉角的过程;同时利用解析模型替代了传统方法中姿态控制环路的跟踪控制过程,简化了制导控制系统的设计流程,为制导控制一体化设计提供了一种新的分析思路。数值仿真结果验证了本文提出的制导控制一体化设计方法的有效性和鲁棒性。