Modeling of DC–DC Buck Converters for Large-Signal Frequency Response and Limit Cycles

A zeroth-order-hold equivalent discrete-time model of the buck converter for computing its large-signal frequency response is developed and experimentally verified. It is shown that, with a dc bias and a sinusoidal variation of the input duty cycle, the frequency response of the output voltage from the converter shifts from underdamped behavior to damped behavior with increasing amplitude of the input sinusoid. It is observed that, with a given dc input bias and a given input amplitude beyond the range of the state-space linearized small-signal model, the converter behavior varies from exclusively continuous inductor current mode at low frequencies to behavior with continuous and discontinuous inductor current modes at high frequencies. The use of this sinusoidal input large-signal frequency response in predicting limit cycles induced by feedback of the output voltage using proportional and integral controllers for such converters is studied. Experimental results confirming the use of this large-signal frequency response are presented.     

Design optimization of single-stage single-switch input-currentshapers

Design considerations for a single-stage single-switch input-current shaper (S⁴ICS) which combines the boost-like front end with a continuous-conduction-mode DC/DC output stage are provided. A complete design-oriented mathematical model is derived for both discontinuous and continuous conduction modes of operation of the boost inductor. The design procedure is illustrated with the example of a 5-V/20-A universal line-voltage range S⁴ICS forward converter     

Resonant-boost-input three-phase power factor corrector

This paper presents a novel three-phase power factor corrector (PFC) circuit which uses two power switches working in zero-voltage-switching (ZVS) condition. The two switches along with a high-frequency inductor constitute a high-frequency current source which is responsible for the energy transfer in the circuit. The input current is partly continuous and partly discontinuous. The total harmonic distortion (THD) in the input current has a low value of 4.5%, and the output DC voltage is very close to the peak line voltage. The operation of the converter is explained by identifying the different switching modes, and the simulation and experimental waveforms are presented     

A unified analysis of PWM converters in discontinuous modes

Three discontinuous operating modes of PWM (pulsewidth modulated) converters are considered: the discontinuous inductor current mode (DICM), the discontinuous capacitor voltage mode (DCVM), and a previously unidentified mode called the discontinuous quasi-resonant mode (DQRM). DC and small-signal AC analyses are applicable to all basic PWM converter topologies. Any particular topology is taken into account via its DC conversion ratio in the continuous conduction mode. The small-signal model is of the same order as the state-space averaged model for the continuous mode, and it offers improved predictions of the low-frequency dynamics of PWM converters in the discontinuous modes. It is shown that converters in discontinuous modes exhibit lossless damping similar to the effect of the current-mode programming     

Technique for sensing inductor and DC output currents of PWM DC-DCconverter

The design, analysis and trade-offs of a novel method to sense the inductor and DC output currents of PWM converters are presented. By sensing and adding appropriately the currents in the transistor, rectifier and capacitors of a converter using current transformers, the waveforms of inductor and DC output currents can be reconstructed accurately while maintaining isolation. This method offers high bandwidth, clean waveform, practically zero power dissipation and simple circuit. The technique is applicable to all PWM converters in both continuous and discontinuous modes, and is most suitable for the implementation of current mode control schemes like hysteretic, PWM conductance control, and output current feedforward. This approach has been experimentally verified at a wide range of current levels, duty cycles, and switching frequencies up to 1.4 MHz     

A refined nonlinear averaged model for constant frequency currentmode controlled PWM converters

A refined, duo-mode model for current programmed buck power converters is presented. The refined model uses a form of the current mode control law which is truly invariant with respect to operating conditions. That is, it is valid for both transient and steady-state operating conditions regardless of the converter operating mode, which could be either continuous conduction mode (CCM) or discontinuous conduction mode (DCM). The large-signal transient response predicted using the refined average model is shown to be virtually indistinguishable, in an average sense, from that predicted using a pulse-by-pulse simulation. The refined model is shown to exhibit improved high-frequency accuracy in both time and frequency domains. The model has been implemented in SPICE 2G6 and runs with default analysis options     

Analysis of a ripple-free input-current boost converter withdiscontinuous conduction characteristics

Coupled inductor techniques supply a method to reduce the power converter size and weight and achieve ripple-free current. The boost power converter is a very popular topology in industry. However, the input-current ripple hinders efforts to meet electromagnetic interference (EMI) requirements. In particular, the input current becomes discontinuous and pulsating when the conventional boost power converter operates in the discontinuous inductor-current mode. This paper describes a boost power converter which has the same discontinuous properties as the conventional boost power converter. However, the proposed boost topology has continuous or ripple-free input current when it operates with discontinuous inductor-current. The proposed topology is compared with traditional converter topologies, such as the Sepic and Cuk power converters. Simulation results are presented. The prototype is built to demonstrate the theoretical prediction. The proposed boost topology is simple, with straightforward control [the same as pulse-width modulation (PWM)]     

基于MATLAB的单端反激式DC/DC变换器的仿真研究

阐述了单端反激式DC/DC变换器的工作原理,在此基础上研究了其在电流连续和断续工作情况下的电路运行模式,最后在MATLAB/Simulink中对理论分析进行了建模与仿真。仿真结果表明,电路在占空比和输出电阻发生改变时,单端反激式DC/DC变换器有可能从连续工作模式下变为断续工作模式。为实际电路的设计提供了方便。     

Operation Modes and Characteristics of the Z-Source Inverter With Small Inductance or Low Power Factor

The Z-source inverter, utilizing a unique LC network and previously forbidden shoot-through states, provides unique features, such as the ability to buck and boost voltage with a simple single-stage structure. The analysis and control methods provided in the literature are based on an assumption that the inductor current is relatively large, continuous, and has small ripple. This assumption becomes invalid when the load power factor is low or the inductance is small in order to minimize the inductor's size and weight for some applications where volume and weight are crucial. Under these conditions, the inductor current has high ripple or even becomes discontinuous. As a result, the Z-source inverter exhibits new operation modes that have not been discussed before. This paper analyzes these new operation modes and the associated circuit characteristics.     

A unified SPICE compatible average model of PWM converters

A simple, unified, and topology-independent model of basic pulse-width modulated (PWM) power converters is developed using the switched inductor approach presented by S. Ben-Yaakov (1989). The model is compatible with SPICE or other similar general-purpose electronic circuit simulators. It can be used to simulate DC, small signal, and transient behavior of PWM converters operating in both discontinuous conduction mode (DCM) and continuous conduction mode (CCM). During simulation, the model automatically follows the CCM and DCM operation, with fewer convergence problems compared to previous simulation models. An effective measurement technique using the HP3562A dynamic signal analyzer (DSA) is presented and applied to compare simulation runs with experimental data. The two were found to be in good agreement     

Analysis and modeling of peak-current-mode-controlled buckconverter in DICM

This paper presents a unified method to obtain both small- and large-signal models for a peak-current-mode-controlled buck converter which accurately predict its behavior. The models show that the peak-current-mode transfer functions are effectively of first order, as can be expected due to the heavy bounding of inductor current. The large-signal behavior can be accurately predicted by using a simple algebraic equation including the mode limit of basic-switching-frequency operation as well as the input-output relations. It is also pointed out that a buck converter can have stable open-loop as well as closed-loop operation modes at basic switching frequency and at its even and odd harmonics. The subharmonic modes are, however, not controllable in a conventional way     

一种新的用于电流模式DC-DC Boost变换器SPICE模型

提出了一种高精度的电流控制模式DC-DC Boost(升压)变换器SPICE模型.适用于CCM(连续电感电流模式).考虑了功率开关管的导通电阻、二极管的正向压降和电阻等重要参数,可以在HSPICE或Spectre仿真器上进行小信号分析,解决了在仿真器上开关电感的存在而无法进行交流和稳定性分析的问题.通过仿真波特图可以对系统的稳定性做出定量和定性判断,为开关电源的设计提供了一种快速准确的方法.     

State-space models and order reduction for DC-DC switchingconverters in discontinuous modes

The state-space modeling and related order reduction problems of switching DC-DC converters operating in discontinuous (D) mode are treated in this paper. A unified discrete-time full-order model is proposed assuming the discontinuous current and voltage mode (DCVM) as a general operation mode from which the discontinuous current mode (DCM), the discontinuous voltage mode (DVM), and continuous made (CM) derive as special cases. Such a model permits a straightforward study of the control-to-output response, in each operation mode. The order reduction of the transfer function is carried out by means of the principal component analysis considering the joint controllability and observability properties of the circuit. It is shown that a proper order reduction can be gained not only in DC mode, as expected, but also in DV and DCV modes. A substantial difference between DC and DV modes is also evidenced in terms of controllability. The frequency analysis and state-space model order reduction for a Cuk converter are proposed to show that the method is free of the limitations affecting other methods of analysis and that its predictions fit experimental measurements     

Floating inductance,FDNR and capacitance simulation circuit employing only grounded passive elements

A circuit for realizing floating inductance, grounded to a floating admittance converter, floating frequency dependent negative resistance (FDNR) and floating capacitance simulators depending on the passive element selection is presented. The proposed circuit employs only grounded passive elements and second-generation current conveyors (CCIIs) but it requires single passive component matching. Replacing second-generation current controlled conveyors (CCCIIs) instead of the CCIIs in the developed circuit, an electronically tunable floating inductor with bias currents can be obtained. Also, replacing dual X second-generation current conveyors (DXCCIIs) instead of the CCIIs in the introduced circuit, an electronically tunable floating inductor with bias voltages can be obtained. Under non-ideality conditions, the proposed circuit can realize a lossless floating inductor and a capacitor depending on the passive element choice. Simulation results using SPICE program are given to verify the theory.     

Variable-frequency predictive digital current mode control

A variable-frequency predictive digital control method for the inductor current in switched-mode converters is introduced in this letter. This method is predictive in nature because the transistor off-time required for achieving the target current is calculated ahead of time. The transistor on-time is kept constant, which results in variable switching frequency. The control laws for continuous and discontinuous modes of operation of the three basic converters are derived. Stability and robustness criteria are presented. The variable-frequency predictive control obviates the need for current-loop compensation and has the advantages of single-cycle response and relatively simple implementation. The control method is demonstrated in a digital signal processor (DSP) for a boost power factor corrector (PFC), which shows excellent current tracking and a very low harmonic distortion of the line current.     

Parasitic ringing and design issues of digitally controlled high power interleaved boost converters

High power boost converter has become the essential part of the distributed power system that enables energy to be fully utilized in fuel cell powered electric vehicles and stationary power systems. This paper presents analysis and design of a high-power multileg interleaved boost converter with a digital signal processor (DSP) based controller. A 20-kW converter was designed with coupled inductors to allow core-loss reduction and designed with high frequency switching to minimize the component size and eliminate the switching losses under discontinuous conducting mode operation. A dual-loop average current mode current control method implemented in DSP is employed to achieve the fast transient response. It was found through circuit analysis, simulation and experiment that the boost inductor interacted with the device parasitic capacitor and created unnecessary oscillating current whenever it reached zero current. Two high-power devices were used in both simulation and experiment to verify the analysis and design for a wide load range. Simulation and experiment results of the 20-kW boost converter under startup condition and load transient condition are also presented. Different anti-windup schemes for a typical PI-controller are evaluated. The results show that this typical controller with proper anti-windup scheme achieves better transient performance than without anti-windup scheme.     

连续导电模式下的单电感双输出开关变换器

文章系统地分析了单电感双输出DC—DC变换器结构,采用分时复用原理实现双路输出。由于电感共享,各输出支路间存在着严重的交叉影响。当输出支路严格工作在不连续导电模式（DCM）或伪连续导电模式（PCCM）下,可有效抑制交叉影响。文章首次提出了应用于连续导电模式工作的单电感双输出开关变换器的峰值电流-差模电压控制方法,在连续导电模式（CCM）下实现了几乎没有交叉影响的双路输出。     

Modeling of cross-regulation in converters containing coupledinductors

A general model of the multiple-winding coupled inductor is described, in which all parameters can be directly measured. The magnetics and the resulting cross-regulation models are employed in a tutorial explanation of the mechanisms by which leakage inductances and effective turns ratios affect cross regulation and discontinuous conduction mode boundaries in a multiple-output converter with arbitrary number of outputs. Analytical results are found for the discontinuous mode boundaries and for the steady-state characteristics when one of the outputs operates in discontinuous conduction mode. Three basic approaches to coupled-inductor design are compared: near-ideal coupling, practical moderate coupling, and the zero-ripple approach. It is shown that the best cross regulation can be obtained via the zero-ripple approach with relatively loose coupling in applications where there is at least one output whose load current variations are relatively small so that all windings can always operate in continuous conduction mode. The conclusions are supported by experimental results     

Integrated ZVS DC–DC converter with continuous input current and high voltage gain

An integrated zero-voltage-switching (ZVS) DC–DC converter with continuous input current and high voltage gain is proposed. The proposed converter can operate with soft switching, a continuous inductor current and fixed switching frequency. The voltage stress of the power switches is relatively low compared to the output voltage. Moreover, soft-switching characteristic of the proposed converter reduces switching loss of active power switches and raise the conversion efficiency. The reverse-recovery problem of output rectifiers is also alleviated by controlling the current changing rates of diodes with the use of the leakage inductance of a coupled inductor. The operation and performance of the proposed DC–DC converter were verified on an 115?W experimental prototype operating at 100?kHz.     

Dual sepic PWM switching-mode DC/DC power converter

A steady-state analysis and experimental results for a dual sepic pulse-width-modulated (PWM) DC/DC power converter for both continuous and discontinuous modes of operation are presented. The converter is dual to a sepic converter, but it can also be derived from a forward converter by replacing one of its rectifier diodes with a coupling capacitor. The circuit acts as a step-down or step-up converter, depending on the value of the ON switch duty cycle. The transformerless version of the converter has a positive DC/DC voltage transfer function. Therefore, the circuit is suitable for distributed power systems. Design equations for all circuit components are derived. Experimental results measured at 100 kHz were in good agreement with theoretical predictions