Dynamic behaviour and Z-transform stability analysis of DC/DC regulators with a non linear P.W.M. control loop

A power processing system is required to convert electrical energy from one voltage, current, or frequency to another with, ideally, 100-percent efficiency, together with adjustability of the conversion ratio. The allowable elements are switches, capacitors, and magnetic devices. Essential to the design is a knowledge of the transfer functions, and since the switching converter is nonlinear, a suitable modeling approach is needed. This paper discusses the state-space averaging method, which is an almost ideal compromise between accuracy and simplicity. The treatment here emphasizes the motivation and objectives of modeling by equivalent circuits based upon physical interpretation of state-space averaging, and is limited to pulse-width modulated dc-to-dc converters.

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“…Some alternative approaches are discussed in [25]- [30]. Simulation and computer-aided methods have also been employed [31]- [33].…”

Section: Discussionmentioning

confidence: 99%

Small-signal modeling of pulse-width modulated switched-mode power converters

Middlebrook

1988

Proc. IEEE

255

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“…The decomposition in elements compatible with a direct extraction from z-transform table gives dV e 1 /dt has been already derived in a previous study (1). We recall it:…”

Section: Calculation Of T 1 (Z1)mentioning

confidence: 90%

“…Let us take the numeric application corresponding to (1), and plot the equation The sampling frequency is kept constant and equal to 10 5 Hertz. Let us consider the influence of parameters Gc1 and Gc2.…”

Section: 3mentioning

confidence: 99%

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Stability analysis of A P.W.M. controlled DC/DC regulator with DC and AC feedback loops

Capel

Ferrante

Prajoux

1974

1974 IEEE Power Electronics Specialists Conference

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“…This is distinct from a conventional discrete-time system, in which the time intervals are determined externally. Even with this limitation, several authors have applied sampled data and discrete time methods to power converter control successfully [104]- [108]. In [106], relationships among state-space averaging, Laplacedomain analysis, and z-domain analysis are discussed in depth.…”

Section: B Discrete-time Detailed Modelingmentioning

confidence: 99%

A Tutorial and Review Discussion of Modulation, Control and Tuning of High-Performance DC-DC Converters Based on Small-Signal and Large-Signal Approaches

Kapat

Krein

2020

IEEE Open J. Power Electron.

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Many commercial controller implementations for dc-dc converters are based on pulse-width modulation (PWM) and small-signal analysis. Increasing switching frequencies, linked in part to wide bandgap devices, provide the opportunity to increase operating bandwidth and enhance performance. Fast processors and digital signal processing offer new computational techniques for power converter control. Conventional control techniques rarely make full use of operating capability. The objectives of this paper are to present an overview and link to literature on conventional modulation and control techniques for hard-switched dc-dc converters, identify performance limits associated with conventional small-signal-based design, discuss geometric control approaches, and compare strategies for control tuning. The discussion shows how current mode controls have alternative state feedback implementations, and describes unusual opportunities for large-signal control tuning. Considerations for minimum response time are described. Comparisons among tuning methods illustrate how geometric controls can achieve order of magnitude dynamic performance increases. The paper is intended as a baseline tutorial reference for future work on power converter control.

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Dynamic behaviour and Z-transform stability analysis of DC/DC regulators with a non linear P.W.M. control loop

Cited by 11 publications

References 0 publications

Small-signal modeling of pulse-width modulated switched-mode power converters

Small-signal modeling of pulse-width modulated switched-mode power converters

Stability analysis of A P.W.M. controlled DC/DC regulator with DC and AC feedback loops

A Tutorial and Review Discussion of Modulation, Control and Tuning of High-Performance DC-DC Converters Based on Small-Signal and Large-Signal Approaches

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