Time domain modelling and stability analysis of an integral pulse frequency modulated DC to DC power converter

Iwens, R. P.; Yu, Yang; Triner, J. E.

doi:10.1109/pesc.1975.7085570

Cited by 24 publications

(16 citation statements)

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“…The inductor current, capacitor voltage, and output voltage waveforms were plotted for four different modulation frequencies, as shown in Figs. [6][7][8][9]. The jagged curve in all figures was determined by the actual circuit equations (1) and (2); the smoother continuous curve by the averaged equation (3).…”

Section: Comparison Of Simulation Resultsmentioning

confidence: 99%

“…Careful examination of Figs. [6][7][8][9] indicates that the ESR waVeforms consist of two modulation components: amplitude modulation and PWM; the former is due to the inductor-current-modulation effect, the latter is due to the filter capacitor ESR. There is an obvious phase difference between these two modulation components, as shown in parts (a) and (b) of Figs.…”

Section: Comparison Of Simulation Resultsmentioning

confidence: 99%

“…Examples of these techniques are CSMP [3], IMAG III [41, ECAP [5], SPICE 2 [19], and SCEPTRE [20]. Other numerical techniques use a computer-aided analysis employing a discrete time domain technique [6][7][8][9].…”

Section: A Numerical Techniquesmentioning

confidence: 99%

“…Since the clock signal initiates the turn-on time, the time instant tt, is equal to t', in (6). If the perturbed output voltage resulting from a small duty-cycle disturbance at the kth switching cycle can be computed after n cycles of propagation, a linearized discrete impulse response which describes the small-signal behavior of the power stage about its equilibrium state can be obtained.…”

Section: B Discrete Techniquementioning

confidence: 99%

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Improved Switching Converter Model Using Discrete and Averaging Techniques

Shortt

Lee

1983

IEEE Trans. Aerosp. Electron. Syst.

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The nonlinear modeling and analysis of dc-dc converters has been done by averaging and discrete-sampling techniques. The averaging technique is simple, but inaccurate, as the modulation frequencies approach the theoretical limit of one-half the switching frequency. The discrete technique is accurate even at high frequencies, but is very complex and cumbersome. An improved model is developed by combining the aforementioned techniques. This new model is easy to implement in circuit and state variable forms and is accurate to the theoretical limit.

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Section: Comparison Of Simulation Resultsmentioning

confidence: 99%

Section: Comparison Of Simulation Resultsmentioning

confidence: 99%

Section: A Numerical Techniquesmentioning

confidence: 99%

Section: B Discrete Techniquementioning

confidence: 99%

See 2 more Smart Citations

Improved Switching Converter Model Using Discrete and Averaging Techniques

Shortt

Lee

1983

IEEE Trans. Aerosp. Electron. Syst.

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“…and a constant freavailable a variety of mathematical analyses and _ quency controller. A third control law is then computer simulation techniques which enable detailed developed which employs the information contained in quantitative examinations of particular power inthe system state trajectories as the basis for verter and converter configurations [1][2][3][4][5][6][7][8][9][10][11][12]. In determining the transistor switching sequence.…”

Section: Introductionmentioning

confidence: 99%

State-plane trajectories used to observe and control the behavior of a voltage step-up DC-DC converter

Burns

Wilson

1976

1976 IEEE Power Electronics Specialists Conference

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A robust energy processing method for fuel cell systems supplying a time‐varying uncertain load

Ramírez

2022

Intl J of Energy Research

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Summary Robustness and performance are key properties that can contribute to the widespread dissemination of fuel cell systems (FCSs) as power sources, and a precise output voltage can serve as a reliable criterion to evaluate these properties. In this paper, we propose to utilize intentional time delays as part of controllers to achieve proper output voltage regulation in an FCS. In the past few years, there has been a growing interest toward designing controllers with intentional delays to render improved responses and better noise attenuation capabilities in various classes of systems and this investigation extends the use of delay‐based controllers to the application field of FCSs. A natural progression of this research, which to our knowledge has not been addressed, pertains to how such controllers perform in the presence of uncertainties, and whether or not these controllers can accommodate these uncertainties. In this research work, we present a solution to this open problem on a class of proportional integral retarded (PIR) controllers when controlling an FCS supplying a time‐varying uncertain load. Through stability theory, the safe operation of the PIR controlled FCS is systematically guaranteed in spite of uncertain loads and input voltages. Specifically, based on Lyapunov methods and L2‐gain analysis, we derive simple stability conditions to achieve robustness and H∞ performance. We show that utilizing only output voltage measurements the PIR controller can maintain the predictive features of a pure differentiator, but without its inherent noise amplification problems. Hence, low‐pass filtering of signals or reconstruction of the states can be obviated. Compared with published control schemes for FCSs, the PIR controller is structurally simpler and practically realizable, and it is able to maintain robustness against uncertain loads and H∞ performance under exogenous signals without relying on disturbance estimators. Numerical simulations confirm the superiority of the PIR controller over benchmark proportional integral and proportional integral derivative controllers in terms of robustness, performance and noise attenuation capabilities.

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Time domain modelling and stability analysis of an integral pulse frequency modulated DC to DC power converter

Cited by 24 publications

References 0 publications

Improved Switching Converter Model Using Discrete and Averaging Techniques

Improved Switching Converter Model Using Discrete and Averaging Techniques

State-plane trajectories used to observe and control the behavior of a voltage step-up DC-DC converter

A robust energy processing method for fuel cell systems supplying a time‐varying uncertain load

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