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Proceedings ArticleDOI

The harmonics impact study of a DC-DC buck converter through a power delivery network

TL;DR: In this article, a nonlinear distortion analysis of power delivery network and the impact of nonlinear characteristics of DC-DC converter on the PDN output have been analyzed The harmonic components for an equivalent PDN model have been estimated using Volterra series for 50 Hz input ripples.
Abstract: In this paper, a nonlinear distortion analysis of power delivery network and the impact of nonlinear characteristics of DC-DC converter on the PDN output have been analyzed The harmonic components for an equivalent PDN model have been estimated using Volterra series for 50 Hz input ripples The mean relative error between analytical and simulated results for the fundamental (H 1 (jω 1 )), the second (H 2 (jω 1 , jω 2 )) and the third harmonic (H 2 (jω 1 , jω 2 , jω 3 )) responses are 3%, 1% and 7%, respectively For input intercept points (IIP 2 and IIP 3 ), the difference between analytical and simulation results are 05 dB and 28 dB, respectively
References
More filters
Book
31 Jul 1997
TL;DR: Converters in Equilibrium, Steady-State Equivalent Circuit Modeling, Losses, and Efficiency, and Power and Harmonics in Nonsinusoidal Systems.
Abstract: Preface. 1. Introduction. I: Converters in Equilibrium. 2. Principles of Steady State Converter Analysis. 3. Steady-State Equivalent Circuit Modeling, Losses, and Efficiency. 4. Switch Realization. 5. The Discontinuous Conduction Mode. 6. Converter Circuits. II: Converter Dynamics and Control. 7. AC Equivalent Circuit Modeling. 8. Converter Transfer Functions. 9. Controller Design. 10. Input Filter Design. 11. AC and DC Equivalent Circuit Modeling of the Discontinuous Conduction Mode. 12. Current Programmed Control. III: Magnetics. 13. Basic Magnetics Theory. 14. Inductor Design. 15. Transformer Design. IV: Modern Rectifiers and Power System Harmonics. 16. Power and Harmonics in Nonsinusoidal Systems. 17. Line-Commutated Rectifiers. 18. Pulse-Width Modulated Rectifiers. V: Resonant Converters. 19. Resonant Conversion. 20. Soft Switching. Appendices: A. RMS Values of Commonly-Observed Converter Waveforms. B. Simulation of Converters. C. Middlebrook's Extra Element Theorem. D. Magnetics Design Tables. Index.

6,136 citations


"The harmonics impact study of a DC-..." refers background in this paper

  • ...The inductor (LVRM) and capacitor (CVRM) behave combinedly as a low pass filter....

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  • ...2 can be rewritten as: V 3in (H1(jω1)β1 +H2(jω1, jω2)β2 +H3(jω1, jω2, jω3)β3) +V 2in (H1(jω1)β2 +H2(jω1, jω2)β3) + VinH1(jω1)β3 = KPαV 3 in +KPβV 2 in −KP |Vth|Vin, (3) where, α0 = (α11Y0 + α11(Y1 + YA)− α10Y1) Y0 , (4) β1 = αKP (α11 + α11(YA + Y1)sL− α10Y1sL) , (5) β2 = βKP (α11 + α11(Y1 + YA)sL− α10Y1sL) , (6) β3 = α11 (−KP |Vth|+ (Y1 + YA)(1−KP |Vth|sL)) +α10Y1 (KP |Vth|sL− 1) , (7) α11 = α10α2 Y1 − α8YB α7Y1 − Y2 Y1 , α10 = α3 Y2 − α9Y3 Y2 , (8) α9 = Y3 α3 + α8Y2 α3α7 , α8 = α5 α4 − α6Y3 α4α3 , α7 = 1 + α6Y2 α4α3 , (9) α6 = YBY3 Y2 , α5 = Y2Y3 α3 + α3YB Y2 , α4 = α2 − Y 2 2 α3 , (10) α3 = Y2 + Y3, α2 = Y1 + Y2 + YB , (11) α1 = Y1 + YA + Y0, Y1 = 1 RB1 + sLB , YA = 1 sCVRM , (12) Y2 = sCB 1 + sRB2CB , Y0 = 1 ROP + sLVRM , (13) Y3 = ZC +RL ZCRL , ZC = Rpkg2 + sLpkg2 + 1 sCpkg , (14) YB = 1 Rpkg1 + sLpkg , KP = μPCox WP LP , (15) ROP = 1 KP (αVin 2 + βVin − |Vth...

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  • ...The desired output voltage ripples depend on the values of LVRM and CVRM [13]....

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  • ...A feedback connected pulse width modulator (PWM) circuitry is responsible for desired switching frequency (fsw) and constant duty-cycle (D) [13]....

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Book
01 Jan 1998
TL;DR: General techniques to suppress nonlinear behavior such as pre-distortion, linear and nonlinear feedback are explained in detail and illustrated with realistic examples to fill the gap between the theory of nonlinear systems and practical analog integrated circuits.
Abstract: From the Publisher: Distortion Analysis of Analog Integrated Circuits provides both qualitative and quantitative insight into the nonlinear behavior of analog integrated circuits at low and high frequencies. General techniques to suppress nonlinear behavior such as pre-distortion, linear and nonlinear feedback are explained in detail and illustrated with realistic examples. In this way the book fills the gap between the theory of nonlinear systems and practical analog integrated circuits. Distortion Analysis of Analog Integrated Circuits is essential reading for practicing analog and mixed-signal design engineers and researchers in the field. It is also suitable as a text for an advanced course on the subject.

670 citations


"The harmonics impact study of a DC-..." refers background or methods in this paper

  • ...The Harmonic Balance (HB) method and Volterra series are the two commonly used methods for distortion analysis of nonlinear systems [7], [8]....

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  • ...Hence, the IIP2h and IIP3h are defined as [7]:...

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  • ...Volterra series defines the mathematical inputoutput relationship for a weakly nonlinear system [7]....

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  • ...Harmonic Distortion quantities The second and the third harmonic distortions (HD2 and HD3) are the ratios of fundamental response (H1(jω1)) with second harmonic response (H2(jω1, jω2)) and third harmonic response (H3(jω1, jω2, jω3)), respectively [7]:...

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  • ...It is one of the reliable solutions for weakly nonlinear systems and easy for manual calculation [7]....

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Book
19 Nov 2007
TL;DR: This book's system-level focus and practical examples will make it indispensable for every student and professional concerned with power integrity, including electrical engineers, system designers, signal integrity engineers, and materials scientists.
Abstract: The First Comprehensive, Example-Rich Guide to Power Integrity ModelingProfessionals such as signal integrity engineers, package designers, and system architects need to thoroughly understand signal and power integrity issues in order to successfully design packages and boards for high speed systems Now, for the first time, there's a complete guide to power integrity modeling: everything you need to know, from the basics through the state of the artUsing realistic case studies and downloadable software examples, two leading experts demonstrate today's best techniques for designing and modeling interconnects to efficiently distribute power and minimize noiseThe authors carefully introduce the core concepts of power distribution design, systematically present and compare leading techniques for modeling noise, and link these techniques to specific applications Their many examples range from the simplest (using analytical equations to compute power supply noise) through complex system-level applicationsThe authors Introduce power delivery network components, analysis, high-frequency measurement, and modeling requirements Thoroughly explain modeling of power/ground planes, including plane behavior, lumped modeling, distributed circuit-based approaches, and much more Offer in-depth coverage of simultaneous switching noise, including modeling for return currents using time- and frequency-domain analysis Introduce several leading time-domain simulation methods, such as macromodeling, and discuss their advantages and disadvantages Present the application of the modeling methods on several advanced case studies that include high-speed servers, high-speed differential signaling, chip package analysis, materials characterization, embedded decoupling capacitors, and electromagnetic bandgap structures This book's system-level focus and practical examples will make it indispensable for every student and professional concerned with power integrity, including electrical engineers, system designers, signal integrity engineers, and materials scientists It will also be valuable to developers building software that helps to analyze high-speed systems

271 citations


"The harmonics impact study of a DC-..." refers background in this paper

  • ...A typical PDN is usually comprised of a voltage regulator module (VRM), printed circuit board (PCB), packages and decoupling capacitors [2]....

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Proceedings ArticleDOI
16 Apr 2007
TL;DR: A fine-grain, parameterizable model for power-delivery networks that allows system designers to study localized, on-chip supply fluctuations in high-performance microprocessors and finds that the activity of distinct cores in CMPs present several new design challenges when considering power supply noise.
Abstract: Recent efforts to address microprocessor power dissipation through aggressive supply voltage scaling and power management require that designers be increasingly cognizant of power supply variations. These variations, primarily due to fast changes in supply current, can be attributed to architectural gating events that reduce power dissipation. In order to study this problem, the authors propose a fine-grain, parameterizable model for power-delivery networks that allows system designers to study localized, on-chip supply fluctuations in high-performance microprocessors. Using this model, the authors analyze voltage variations in the context of next-generation chip-multiprocessor (CMP) architectures using both real applications and synthetic current traces. They find that the activity of distinct cores in CMPs present several new design challenges when considering power supply noise, and they describe potentially problematic activity sequences that are unique to CMP architectures

200 citations


"The harmonics impact study of a DC-..." refers background in this paper

  • ...TABLE I PARAMETERS VALUE FOR THE PDN MODEL [14]....

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Journal ArticleDOI
TL;DR: In this article, the power quality of a lowvoltage distribution or a stand-alone network with different grid connected power converter topologies was analyzed with respect to different grid and power electronic parameters.
Abstract: The aim of this paper is to analyze the power quality of a low-voltage distribution or a stand-alone network with different grid connected power converter topologies. Passive harmonic mitigation techniques are still attractive solutions in power converters. However, these solutions give different harmonic performances at a system level, where a large numbers of converter units are connected in parallel at a point of common coupling. This is due to harmonic cancellation within parallel converter at the system level, which depends on many different factors. Therefore, in this paper, the harmonic performance of a small grid system has been analyzed with respect to different grid and power electronic parameters. This paper also elaborates the importance of phase angle values of current harmonics in order to analyze the power quality of a grid. Harmonic performances of different three-phase power converter topologies have been compared individually. The analysis at the system level has been further extended by including single-phase converters in parallel with the three-phase power converters. A comprehensive modeling and simulation have been carried out in SABER and MATLAB/Simulink to verify the proposed analysis.

134 citations


"The harmonics impact study of a DC-..." refers background in this paper

  • ...Moreover, it is also essential for improvement of quality of the PDN and in harmonic mitigation techniques [5]....

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