Boris Reznikov

A 4-level flying capacitor converter (FCC) operation is considered on a base of discrete state-space model. A transition matrix is obtained for a pulse width modulation (PWM) period for large normalised voltage command values [1/3, 1). The transition matrix elements are expanded into power series by small parameters. The matrix eigenvalues are pres...

A 4-level flying capacitor converter (FCC) operation is considered on a base of discrete state-space model. A transition matrix is obtained for a pulse width modulation (PWM) period for small normalised voltage command values [0, 1/3]. The transition matrix elements are expanded into power series by small parameters. The matrix eigenvalues are pres...

The paper considers a discrete state-space model for transients in a three-level flying capacitor DC–DC converter. A transition matrix is obtained for a pulse width modulation (PWM) period. The matrix elements are expanded into a power series using a selected small parameter. The matrix eigenvalues that determine the natural balancing dynamics tran...

Capacitor natural voltage balancing in multilevel converters is a potentially attractive feature because it does not require capacitor voltage measurement and balancing control effort. The paper addresses DC-DC step-down Flying Capacitor Converter average balanced capacitor voltages for inductance dominated LR-loads (or resistive LC-filtered ones)....

This paper addresses calculation of current Total Harmonic Distortion (THD) for a single-phase multilevel PWM inverter with LCL-filter. Analytical approach introduced in late 1980s for a 2-level inverter with inductance dominated load is generalized for a single-phase multilevel inverter with an arbitrary number of voltage levels accounting for the...

This paper addresses theoretical calculation of a single-phase multilevel pulsewidth modulation (PWM) inverter current total harmonic distortion (THD). Analytical approach introduced in late 1980s for a two-level inverter is generalized for an arbitrary level count for a single-phase inverter. Although the obtained closed-form piecewise analytical...

This paper addresses theoretical calculation of a single-phase multilevel PWM inverter current Total Harmonic Distortion (THD). Analytical approach introduced in late 1980s for a 2-level inverter is generalized for an arbitrary level count for a single-phase inverter. Though the obtained closed-form piece-wise analytical solutions assume (infinitel...

Flying capacitor converters (FCCs) are recently attracting considerable interest because of their inherent natural voltage balancing property. We develop a sampled‐data model for a single‐phase single‐leg three‐level FCC. This provides a closed‐form expression for the system dynamic behavior after each switching cycle. Analysis of this model provid...

Reported are the results of simple analytical comparison of natural voltage balancing mechanisms in three-level H-bridge flying capacitor and diode-clamped converters with carrier-based PWM strategies. While the optimal voltage quality of the nearest level switching is obtained for both of them, natural voltage balancing dynamic properties are esse...

The paper presents simple closed-form analytical expressions for a single-phase multilevel PWM converter voltage quality upper and lower bounds. Voltage ripple Normalized Mean Square is used as a converter voltage quality figure of merit. The accurate upper bound for synchronous switching is delivered by the asymptotic estimate that assumes infinit...

Flying capacitor converters (FCCs), as most multilevel converter topologies, require a balancing mechanism of the capacitor voltages. FCCs have the valuable property of natural voltage balancing when a special modulation technique is used. The classic methods, like Phase-Shifted Pulse Width Modulation (PS-PWM), result in very slow balancing for som...

Natural voltage balancing dynamics analysis for flying capacitor converter may be carried out in time domain using switched systems analysis technique based on stitching analytical solutions for consecutive switching subintervals. In conjunction with the small parameter assumption, it allows obtaining closed-form approximate analytical solutions. P...

Natural voltage balancing property is an attractive feature of a flying capacitor converter. In this paper, time domain approach based on stitching piece-wise analytical solutions for consecutive switching intervals is applied to a six-level single-leg flying capacitor converter. The small parameter approximation analysis yields physically meaningf...

Flying Capacitor (FC) multilevel Pulse Width Modulated (PWM) converters are an attractive choice due to the natural balancing property of the capacitor voltages. The balancing can be studied in the time domain, which results in easy to interpret expressions regarding parameter influence. Time domain analysis is normally done by time averaging of th...

Voltage source converter Pulse Width Modulation common-mode voltages have an adverse affect of inducing motor shaft voltages and bearing currents that result in premature bearings failure. Common-mode voltage cancellation PWM strategies significantly compromise the optimal voltage quality of the nearest three space vector modulation. The paper pres...

Flying Capacitor (FC) multilevel Pulse Width Modulated (PWM) converters are an attractive choice due to the natural balancing property of the capacitor voltages. A single-leg flying capacitor converter voltage balance dynamics analytical solution may be obtained using switched systems time domain approach based on stitching of switching intervals p...

Presents a collection of slides covering the following topics: PWM multilevel power converters analysis; multilevel multiphase PWM converter voltage quality evaluation; flying capacitors average voltage balancing dynamics; flying capacitor converter natural voltage voltage balancing dynamics; asymptotic time domain evaluation; and time averaging an...

Voltage total harmonic distortion and related quadratic criteria are accepted as figures of merit of a multilevel PWM converter voltage quality. The dominating frequency domain voltage quality evaluation approach, in fact, is essentially numerical as it involves infinite double Fourier series expansion with Bessel function coefficients and requires...

The paper presents a comparison of phase-shifted and modified level-shifted carrier-based PWM strategies for a three-level H-bridge flying capacitor converter. While the optimal voltage quality of the nearest level switching may be obtained using both of them, natural voltage balancing dynamics is different. Using elementary circuit theory and swit...

The paper presents simple closed-form analytical expressions for PWM power converter ripple voltage Normalized Mean Square lower and upper bounds. These estimates obtained in time domain are asymptotic in the sense that switching-to-fundamental frequencies ratio is supposed infinitely large. Ripple voltage Normalized Mean Square in the first approx...

Flying Capacitor (FC) multilevel pulse width modulated (PWM) converters are an attractive choice due to the natural voltage balancing property. It was previously shown the natural balancing method is falling short for self-precharge of odd-level FC converters. In this paper, a new switching scheme is proposed implementing zero average output voltag...

Flying Capacitor (FC) multilevel Pulse Width Modulated (PWM) converters are an attractive choice due to the natural balancing property of the capacitor voltages. The balancing can be studied in the time domain, which results in easy to interpret expressions regarding parameter influence. Time domain analysis is normally done by time averaging of th...

The attractive feature of a flying capacitor converter is the natural voltage balance property. The reported voltage balance dynamics analytical research methods are based on heavy frequency domain transformations (Fourier transform, Bessel functions etc) and are rather algorithmic and difficult to use in an everyday engineering practice. Suggested...

A single-leg flying capacitor converter voltage balance dynamics analytical solution may be obtained using switched systems time domain approach based on stitching of switching intervals piece-wise analytical solutions in combination, for inductance dominated load, with a small parameter technique. In this paper, a symmetric four-level H-bridge fly...

Flying capacitor multilevel PWM converter with a natural voltage balance is an attractive multilevel converter choice because it requires no voltage balance control effort. Flying capacitor converter practically does not suffer from voltage balance imposed performance limitations as opposed to multiple point clamped converter. Voltage balance dynam...

Flying capacitor converters (FCCs) attract considerable interest because of their inherent natural voltage balancing property. Several researchers analyzed the voltage balance dynamics in FCCs using frequency domain methods. Recently, considerable research attention has been devoted to switched systems, i.e. systems com-posed of several subsystems,...

Time domain approach based on stitching analytical solutions for consecutive switching subintervals is applied to analysis of seven-level single-leg flying capacitor converter natural voltage balancing dynamics for Phase Shifted PWM. Expressions for voltage balancing dynamics frequencies and time constants reveal dependences on load parameters, car...