Dissertations / Theses on the topic 'CURRENT CONTROL SCHEMES'

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1

Ghahderijani, Mohammad Moradi. "Dynamic modelling and control schemes for current-source resonant converters." Doctoral thesis, Universitat Politècnica de Catalunya, 2018. http://hdl.handle.net/10803/481978.

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This thesis focuses on the control methods applied to current source resonant converters, especially in two different applications of switching power supplies and wire-less power transfer systems. In fact, the existing applications are mostly working with voltage source resonant converters. For voltage-source resonant converters, many control strategies have been analyzed and investigated, turning this into a mature technology nowadays. The current-source resonant converter is an alternative solution as they offer well-known advantages such as non-pulsating input current, low stress for switches, simple driving circuitry, and short circuit protection capabilities. However, there is an obvious lack of control methods applicable to current-source resonant converters. In addition, obtaining an appropriate dynamic model to be used in control design is the other challenging issue in this field. Hence, the objectives of this thesis are used to fill these gaps. The proposed control schemes are: - Frequency modulation control scheme applied to a DC/DC current-source parallel resonant converter. - Sliding mode control scheme with amplitude modulation applied to a DC/DC current-source parallel resonant converter. - A control scheme for a multiple-output DC/DC current-source parallel resonant converter. - A communication-less control scheme for a variable air-gap wireless energy transfer system using a current-source resonant converter.
Esta tesis doctoral está centrada en los métodos de control aplicados a los convertidores resonantes con fuente de corriente, especialmente en dos aplicaciones distintas como son fuentes de alimentación conmutadas y sistemas de transferencia de energía sin hilos. De hecho, las aplicaciones existentes trabajan principalmente con convertidores alimentados mediante fuentes de tensión. Para los convertidores resonantes con fuente de tensión, se han analizado muchas estrategias de control en la literatura, lo que hace hoy en día que esta sea una tecnología madura. El convertidor resonante con fuente de corriente es una solución alternativa, que ofrece ventajas conocidas como corriente de entrada no pulsante, baja tensión para interruptores, circuitos de conducción sencillos y capacidades de protección contra cortocircuitos. Sin embargo, existe una falta evidente de métodos de control aplicables a los convertidores resonantes con fuente de corriente. Además, otro desafío en este tema es la obtención de modelos dinámicos apropiados para el diseño del control. Por lo tanto, los objetivos de esta tesis se utilizan para llenar estos vacíos. Los esquemas de control propuestos son: - Esquema de control en frecuencia aplicado a un convertidor resonante paralelo con fuente de corriente para reguladores de tensión en continua - Esquema de control en modo de deslizamiento con modulación de amplitud aplicado a un convertidor resonante paralelo con fuente de corriente para reguladores de tensión en continua. - Esquema de control para un convertidor resonante paralelo con fuente de corriente para la regulación de tensión en continua de varias salidas. - Esquema de control sin comunicaciones para un sistema de transferencia de energía sin hilos con un transformador con entrehierro variable basado en un convertidor resonante con fuente de corriente.
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2

Pal, Subarna. "Simulation of current mode control schemes for power factor correction circuits." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape17/PQDD_0008/MQ36162.pdf.

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3

Jassim, Bassim M. H. "Active current sharing control schemes for parallel connected AC/DC/AC converters." Thesis, University of Newcastle upon Tyne, 2014. http://hdl.handle.net/10443/3086.

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The parallel operation of voltage fed converters can be used in many applications, such as aircraft, aerospace, and wind turbines, to increase the current handling capability, system efficiency, flexibility, and reliability through providing redundancy. Also, the maintenance of low power parallel connected units is lower than one high power unit. Significant performance improvement can be attained with parallel converters employing interleaving techniques where small passive components can be used due to harmonic cancellation. In spite of the advantages offered by parallel connected converters, the circulating current problem is still a major concern. The term circulating current describes the uneven current sharing between the units. This circulating current leads to: current distortion, unbalanced operation, which possibly damages the converters, and a reduction in overall system performance. Therefore, current sharing control methods become necessary to limit the circulating current in a parallel connected converter system. The work in this thesis proposes four active current sharing control schemes for two equally rated, directly paralleled, AC/DC/AC converters. The first scheme is referred to as a “time sharing approach,” and it divides the operation time between the converters. Accordingly, in the scheme inter-module reactors become unnecessary, as these are normally employed at the output of each converter. However, this approach can only be used with a limited number of parallel connected units. To avoid this limitation, three other current sharing control schemes are proposed. Moreover, these three schemes can be adopted with any pulse width modulation (PWM) strategy and can be easily extended to three or more parallel connected units since they employ a modular architecture. The proposed current sharing control methods are employed in two applications: a current controller for three-phase RL load and an open loop V/f speed control for a three-phase induction motor. The performance of the proposed methods is verified in both transient and steady state conditions using numerical simulation and experimental testing.
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4

Liu, Pei-Hsin. "Advanced Control Schemes for High-Bandwidth Multiphase Voltage Regulators." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/52275.

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Advances in transistor-integration technology and multi-core technology of the latest microprocessors have driven transient requirements to become more and more stringent. Rather than relying on the bulky output capacitors as energy-storage devices, increasing the control bandwidth (BW) of the multiphase voltage regulator (VR) is a more cost-effective and space-saving approach. However, it is found that the stability margin of current-mode control in high-BW design is very sensitive to operating conditions and component tolerance, depending on the performance of the current-sensing techniques, modulation schemes, and interleaving approaches. The primary objective of this dissertation is to investigate an advanced multiphase current-mode control, which provides accurate current sensing, enhances the stability margin in high-BW design, and adaptively compensates the parameter variations. Firstly, an equivalent circuit model for generic current-mode controls using DCR current sensing is developed to analyze the impact of component tolerance in high-BW design. Then, the existing state-of-the-art auto-tuning method used to improve current-sensing accuracy is reviewed, and the deficiency of using this method in a multiphase VR is identified. After that, enlightened by the proposed model, a novel auto-tuning method is proposed. This novel method features better tuning performance, noise-insensitivity, and simpler implementation than the state-of-the-art method. Secondly, the current state-of-the-art adaptive current-mode control based on constant-frequency PWM is reviewed, and its inability to maintain adequate stability margin in high-BW design is recognized. Therefore, a new external ramp compensation technique is proposed to keep the stability margin insensitive to the operating conditions and component tolerance, so the proposed high-BW constant-frequency control can meet the transient requirement without the presence of bulky output capacitors. The control scheme is generic and can be used in various kinds of constant-frequency controls, such as peak-current-mode, valley-current-mode, and average-current-mode configurations. Thirdly, an interleaving technique incorporating an adaptive PLL loop is presented, which enables the variable-frequency control to push the BW higher than proposed constant-frequency control, and avoids the beat-frequency input ripple. A generic small-signal model of the PLL loop is derived to investigate the stability issue caused by the parameter variations. Then, based on the proposed model, a simple adaptive control is developed to allow the BW of the PLL loop to be anchored at the highest phase margin. The adaptive PLL structure is applicable to different types of variable-frequency control, including constant on-time control and ramp pulse modulation. Fourthly, a hybrid interleaving structure is explored to simplify the implementation of the adaptive PLL structure in an application with more phases. It combines the adaptive PLL loop with a pulse-distribution technique to take the advantage of the high-BW design and fast transient response without adding a burden to the controller implementation. As a conclusion, based on the proposed analytical models, effective control concepts, systematic optimization strategies, viable implementations are fully investigated for high-BW current-mode control using different modulation techniques. Moreover, all the modeling results and the system performance are verified through simulation with a practical output filter model and an advanced mixed-signal experimental platform based on the latest MHz VR design on the laptop motherboard. In consequence, the multiphase VRs in future computation systems can be scalable easier with proposed multiphase configurations, increase the system reliability with proposed adaptive loop compensation, and minimize the total system footprint of the VR with the superior transient performance.
Ph. D.
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5

Lee, Moonhyun. "Digital-Based Zero-Current Switching (ZCS) Control Schemes for Three-Level Boost Power-Factor Correction (PFC) Converter." Diss., Virginia Tech, 2020. http://hdl.handle.net/10919/99694.

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With the increasing demands on electronic loads (e.g. desktop, laptop, monitor, LED lighting and server) in modern technology-driven lives, performance of switched-mode power supply (SMPS) for electronics have been growing to prominence. As front-end converters in typical SMPS structure, ac-dc power-factor correction (PFC) circuits play a key role in regulations of input power factor, harmonics and dc output voltage, which has a decisive effect on entire power-supply performances. Universal ac-line and low-power system (90–264 Vrms, up to 300–400 W) is one of the most common power-supply specifications and boost-derived PFC topologies have been widely used for the purpose. In order to concurrently achieve high efficiency and low-cost system in the PFC stage, zero-current switching (ZCS) control schemes are highly employed in control principles. Representative schemes are discontinuous conduction mode (DCM) and critical conduction mode (CRM). Both modes can realize ZCS turn-on without diode reverse recovery so that low switching losses and low-cost diode utilizations are obtainable. Among various boost-family PFC topologies, three-level boost (TLB) converter has generated considerable research interest in high-voltage high-power applications. It is mainly due to the fact that the topology can have halved component voltage stresses, improved waveform qualities and electromagnetic interference (EMI) from phase interleaved continuous conduction mode (CCM) operations, compared to other two-level boost PFC converters. On the other hand, in the field of universal-line low-power applications, TLB PFC has been thoroughly out of focus since doubled component counts and increased control complexity than two-level topologies are practical burden for the low-cost systems. However, recent researches on TLB PFC with ZCS control schemes have found that cost-competitiveness of the topology is actually comparable to two-level boost PFC converters because the halved component voltage stresses enable usage of low voltage-rating components of which unit prices are cheaper than higher-rating ones. Based on the justification, researches on ZCS control schemes for TLB PFC have been conducted to get enhanced waveform qualities and performance factors. Following the research stream, a three-level current modulation scheme that can be adopted in both DCM and CRM is proposed in Chapter 2 of this dissertation. Main concept of the proposed current modulation is additional degree-of-freedom in current-slope shaping by differentiating on-times of two active switches, which cannot be found from any other single-phase boost-derived PFC topologies. Using the multilevel feature, proposed operations in one switching period consist of three steps: common-switch on-time, single-switch on-time and common-switch off-time. The single-switch on-time step is key design factor of the proposed modulation that can be utilized either in fixed or adjustable form depending on control purpose. Based on the basic modulation concept, three-level CRM control scheme, adjustable three-level DCM control scheme, and spread-spectrum frequency modulation (SSFM) with adjustable three-level DCM scheme are proposed in Chapter 3–5, respectively. In each chapter, implemented control scheme aims to improve different performance factors. In Chapter 3, the proposed three-level CRM scheme uses increased single-switch on-time period to reduce peak inductor current and magnitude of variable switching frequency. It is generally accepted fact that CRM operations suffer from high switching losses and poor efficiency at light load due to considerable increment of switching frequency. Thus, efficiency improvement effect by the proposed CRM scheme becomes remarkable as load condition goes lighter. In experimental verifications, maximum improvement is measured by 1.2% at light load (20%) and overall efficiency is increased by at least 0.4% all over the load range. In Chapter 4, three-level DCM control scheme adopts adjustable single-switch on-time period in fixed switching-frequency framework. The purpose of adjustable control scheme is to widen the length of non-zero inductor current period as much as possible so that discontinued current period and high peak current of DCM operations can be minimized. Experiment results show that, compared to conventional two-level DCM control, full-load peak inductor currents are reduced by 20.2% and 17.1% at 110 and 220 Vrms input voltage conditions, respectively. Moreover, due to turn-off switching energy decrements by the turn-off current reductions, efficiency is also improved by at least 0.4% regardless of input voltage and load conditions. In Chapter 5, a downward SSFM technique is developed first for DCM operations of boosting PFC converters including two-level topologies. This chapter aims to achieve significant reduction of high differential-mode (DM) EMI amplitudes from DCM operations, which is major drawback of DCM control. By using the simple linearized frequency modulation, peak DM EMI noise at full load condition is reduced by 12.7 dBμV than conventional fixed-frequency DCM control. On top of the proposed SSFM, the adjustable three-level DCM control scheme in Chapter 4 is adopted to get further reductions of EMI noises. Experimental results prove that the collaborations of SSFM and adjustable DCM scheme reduce the EMI amplitudes further by 2.5 dBμV than the result of SSFM itself. The reduced EMI amplitudes are helpful to design input EMI filter with higher cut-off frequency and smaller size. Different from two-level boosting PFC converters, TLB PFC topology has two output capacitors in series and inherently suffers from voltage unbalancing issue, which can be noted as topological trade-off. In Chapter 6, two simple but effective voltage balancing schemes are introduced. The balancing schemes can be easily built into the proposed ZCS control schemes in Chapter 3–5 and experimental results validate the effectiveness of the proposed balancing principles. For all the proposed control schemes in this dissertation, detailed operation principles, derivation process of key equations, comparative analyses, implementation method with digital controller and experimental verifications with TLB PFC prototype are provided.
Doctor of Philosophy
Electronic-based devices and loads have been essential parts of modern society founded on rapid advancements of information technologies. Along with the progress, power supplying and charging of electronic products become routinized in daily lives, but still remain critical requisites for reliable operations. In many power-electronics-based supplying systems, ac-dc power-factor correction (PFC) circuits are generally located at front-end to feed back-end loads from universal ac-line sources. Since PFC stages have a key role in regulating ac-side current quality and dc-side voltage control, the importance of PFC performances cannot be emphasized enough from entire system point of view. Thus, advanced control schemes for PFC converters have been developed in quantity to achieve efficient operations and competent power qualities such as high power factor, low harmonic distortions and low electromagnetic interferences (EMI) noises. In this dissertation, a sort of PFC topologies named three-level boost (TLB) converter is chosen for target topology. Based on inherent three-level waveform capability of the topology, multiple zero-current switching (ZCS) control schemes are proposed. Compared to many conventional two-level PFC topologies, TLB PFC can provide additional degree-of-freedom to current modulation. The increased control flexibility can realize improvements of various waveform qualities including peak current stress, switching frequency range, harmonics and EMI amplitude. From the experimental results in this dissertation, improvements of waveform qualities in TLB PFC with the proposed schemes are verified with comparison to two-level current control schemes; in terms of efficiency, the results show that TLB PFC with the proposed schemes can have similar converter efficiency with conventional two-level boost converter in spite of increased component counts in the topology. Further, the proposed three-level control schemes can be utilized in adjustable forms to accomplish different control objectives depending on system characteristics and applications. In each chapter of this dissertation, a novel control scheme is proposed and explained with details of operation principle, key equations and digital implementation method. All the effectiveness of proposals and analyses are validated by a proper set of experimental results with a TLB PFC prototype.
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6

Kotecha, Ramchandra M. "Analysis and Comparison of Popular Models for Current-Mode Control of Switch Mode Power Supplies." Wright State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1300211710.

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7

Jimenez, Carrizosa Miguel. "Hierarchical control scheme for multi-terminal high voltage direct current power networks." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112039/document.

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Cette thèse traite de la commande hiérarchique de réseaux à courant continu multi-terminaux à haute tension (MT-HVDC) intégrant des sources d'énergie renouvelables à grande échelle. Le schéma de contrôle proposé est composé de quatre ‘couches’ : le contrôle local où se trouvent les convertisseurs de puissance, avec une échelle de temps de l’ordre de la milliseconde ; le contrôle primaire qui est décentralisé et appliqué à plusieurs terminaux avec une échelle du temps de l’ordre de la seconde ; un niveau de commande où la communication est prise en compte et où l’approche de Modèle du Commande Prédictive (MPC) assure la planification de la tension et de la puissance à leur état d'équilibre, pour l'ensemble du système; enfin, le contrôleur de niveau supérieur, qui est principalement basé sur les techniques d'optimisation, où les aspects économiques sont pris en compte (il s’agit du réglage dit tertiaire).Au niveau des convertisseurs, un accent particulier est mis sur les convertisseurs bidirectionnels DC/DC. Dans cette thèse, trois topologies différentes sont étudiées en profondeur: deux phases Dual Active Bridge (DAB), trois phases DAB, et l’utilisation de la technologie Modular Multilevel converter (MMC) comme convertisseur DC/DC. Pour chaque topologie, une commande non-linéaire spécifique est discutée. D’autre part une nouvelle fonction pour le convertisseur DC/DC est étudiée. Il s’agit de son utilisation comme disjoncteur à courant continu (DC-CB). En ce qui concerne le contrôle primaire, qui permet de maintenir le niveau de tension continue dans le réseau, nous avons étudié trois philosophies de contrôle: celle de maître/esclave, celui du contrôle « voltage margin control » et celle de la commande du statisme (droop control). Enfin, nous avons choisi d'utiliser le droop control, entre autres, parce que la communication entre les nœuds n’est pas nécessaire. Concernant la commande secondaire, son principal objectif est de planifier le transfert de puissance entre les nœuds du réseau, qui fournissent la tension et la puissance de référence aux contrôleurs locaux et primaires, même lorsque des perturbations apparaissent. Dans cette partie, nous avons proposé une nouvelle approche pour résoudre les problèmes de flux de puissance (équations non-linéaires) basée sur le théorème du point fixe de l’application contractive. Ceci permet d'utiliser plus d'un slack bus, contrairement à l’approche classique basée sur la méthode de Newton-Raphson. Par ailleurs, le réglage secondaire joue un rôle très important dans les applications pratiques, en particulier lorsque les sources d'énergie renouvelables (variables dans le temps). Dans de tels cas, il est intéressant de considérer des dispositifs de stockage afin d'améliorer la stabilité de tout le système. Il est également possible d'envisager différents types de prévisions (météo, charge, ..) basées sur la gestion des réserves de stockage. Toutes ces caractéristiques ont suggéré l'utilisation d'une approche MPC. Dans ce contexte, plusieurs critères d'optimisation ont été considérés, en particulier la minimisation des pertes de transmission ou des congestions dans le réseau.La tâche principale de réglage tertiaire est de d'atteindre l'optimisation économique de l'ensemble du réseau. Dans cette thèse, nous avons pu maximiser le profit économique du système en agissant sur le marché réel, et en optimisant l'utilisation des périphériques de stockage. Dans le but de mettre en œuvre la philosophie de contrôle hiérarchique présentée dans cette thèse, nous avons construit un banc d'essai expérimental. Cette plate-forme dispose de quatre terminaux reliés entre eux par l'intermédiaire d'un réseau à courant continu, et connectés au réseau principal de courant alternatif. Ce réseau DC peut fonctionner à un maximum de 400 V, et avec une courant maximal de 15 A
This thesis focuses on the hierarchical control for a multi-terminal high voltage direct current (MT-HVDC) grid suitable for the integration of large scale renewable energy sources. The proposed control scheme is composed of 4 layers, from the low local control at the power converters in the time scale of units of ms; through distributed droop control (primary control) applied in several terminals in the scale of unit of seconds; and then to communication based Model Predictive Control (MPC) that assures the load flow and the steady state voltage/power plan for the whole system, manage large scale storage and include weather forecast (secondary control); finally reaching the higher level controller that is mostly based on optimization techniques, where economic aspects are considered in the same time as longer timespan weather forecast (tertiary control).Concerning the converters' level, special emphasis is placed on DC/DC bidirectional converters. In this thesis, three different topologies are studied in depth: two phases dual active bridge (DAB), the three phases DAB, and the use of the Modular Multilevel Converter (MMC) technology as DC/DC converter. For each topology a specific non-linear control is presented and discussed. In addition, the DC/DC converter can provide other important services as its use as a direct current circuit breaker (DC-CB). Several operation strategies are studied for these topologies used as DC-CB.With respect to primary control, which is the responsible to maintain the DC voltage control of the grid, we have studied several control philosophies: master/slave, voltage margin control and droop control. Finally we have chosen to use droop control, among other reasons, because the communication between nodes is not required. Relative to the secondary control, its main goal is to schedule power transfer between the network nodes providing voltage and power references to local and primary controllers, providing steady state response to disturbances and managing power reserves. In this part we have proposed a new approach to solve the power flow problem (non-linear equations) based on the contraction mapping theorem, which gives the possibility to use more than one bus for the power balance (slack bus) instead of the classic approach based on the Newton-Raphson method. Secondary control plays a very important role in practical applications, in particular when including time varying power sources, as renewable ones. In such cases, it is interesting to consider storage devices in order to improve the stability and the efficiency of the whole system. Due to the sample time of secondary control is on the order of minutes, it is also possible to consider different kinds of forecast (weather, load,..) and to achieve additional control objectives, based on managing storage reserves. All these characteristics encourage the use of a model predictive control (MPC) approach to design this task. In this context, several possibilities of optimization objective were considered, like to minimize transmission losses or to avoid power network congestions.The main task of tertiary control is to manage the load flow of the whole HVDC grid in order to achieve economical optimization. This control level provides power references to the secondary controller. In this thesis we were able to maximize the economic profit of the system by acting on the spot market, and by optimizing the use of storage devices. In this level it is again used the MPC approach.With the aim of implementing the hierarchical control philosophy explained in this thesis, we have built an experimental test bench. This platform has 4 terminals interconnected via a DC grid, and connected to the main AC grid through VSC power converters. This DC grid can work at a maximum of 400 V, and with a maximum allowed current of 15 A
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Du, Le. "Control of Pseudo-Sinusoidal Switched Reluctance Motor with Zero Torque Ripple and Damped Input Current Ripple." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/23215.

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Switched reluctance motor(SRM)drives are favored in many industrial applications because of their cost advantage and ruggedness. However, the torque ripple and bus current ripple of SRM restrict its application range  compared with traditional AC and DC motors due to the doubly salient pole structure and the highly non-linear coupling between torque, rotor position and phase current. As a result of the torque ripple on the shaft, unwilling large acoustic noises are generated. The large current ripple at the DC bus input requires large electrolytic capacitors for attenuation. However, electrolytic capacitors are of low reliability, which will reduce the duration of the control system. Because of these disadvantages, the acceptance of SRM by the industry, especially in servo-type applications which require stationary torque at low speed, is quite slow. In order to obtain high quality control, there have been many efforts in developing techniques for torque ripple attenuation. Primarily, two approaches are used to give a smooth torque. One is to improve the magnetic design, the other is to use sophisticated control techniques. Some torque control techniques have been proved to obtain a relatively good performance by simulations and experimental results. This thesis gives an alternative torque ripple minimization technique. Simulations and Experiments are conducted to show the effectiveness of this new control scheme. Under this new control scheme, the current controller are much easier to be designed under high speed application, which could be an advantage of it.

First, the SRM operating principle is presented. The torque of SRM is produced by the tendency of its moveable part shifting to a position where the inductance of the exited winding is maximized. The torque ripple origin is discussed in terms of both magnetization and control. The torque ripple is produced during phase commutation interval because the phase current cannot rise from zero to the nominal value instantaneously due to the existence of the phase inductance.

Second, a new torque control scheme is proposed. The new torque control of SRM is split into two cascade sub-tasks. At first, a current reference for ripple free torque is determined. Then a current controller is designed to regulate the current in the stator winding to reference value. Simulations are conducted to verify the effective of this torque control scheme in both ideal `sinusoidal\' SRM and a `Pseudo-Sinusoidal\' SRM.

Finally, a motor drive control system is built to implement the new control scheme. The motor is tested under different speeds to see the torque ripple produced in different speed ranges.

As a conclusion, the new control algorithm for constant torque and damped input bus current ripple is investigated. The advantages of this new torque control method are listed in the paper. Simulation and experimental results show the effectiveness of this new control method.

Master of Science
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9

Hadjikypris, Melios. "Supervisory control scheme for FACTS and HVDC based damping of inter-area power oscillations in hybrid AC-DC power systems." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/supervisory-control-scheme-for-facts-and-hvdc-based-damping-of-interarea-power-oscillations-in-hybrid-acdc-power-systems(cc03b44a-97f9-44ec-839f-5dcbcf2801f1).html.

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Modern interconnected power systems are becoming highly complex and sophisticated, while increasing energy penetrations through congested inter-tie lines causing the operating point approaching stability margins. This as a result, exposes the overall system to potential low frequency power oscillation phenomena following disturbances. This in turn can lead to cascading events and blackouts. Recent approaches to counteract this phenomenon are based on utilization of wide area monitoring systems (WAMS) and power electronics based devices, such as flexible AC transmission systems (FACTS) and HVDC links for advanced power oscillation damping provision. The rise of hybrid AC-DC power systems is therefore sought as a viable solution in overcoming this challenge and securing wide-area stability. If multiple FACTS devices and HVDC links are integrated in a scheme with no supervising control actions considered amongst them, the overall system response might not be optimal. Each device might attempt to individually damp power oscillations ignoring the control status of the rest. This introduces an increasing chance of destabilizing interactions taking place between them, leading to under-utilized performance, increased costs and system wide-area stability deterioration. This research investigates the development of a novel supervisory control scheme that optimally coordinates a parallel operation of multiple FACTS devices and an HVDC link distributed across a power system. The control system is based on Linear Quadratic Gaussian (LQG) modern optimal control theory. The proposed new control scheme provides coordinating control signals to WAMS based FACTS devices and HVDC link, to optimally and coherently counteract inter-area modes of low frequency power oscillations inherent in the system. The thesis makes a thorough review of the existing and well-established improved stability practises a power system benefits from through the implementation of a single FACTS device or HVDC link, and compares the case –and hence raises the issue–when all active components are integrated simultaneously and uncoordinatedly. System identification approaches are also in the core of this research, serving as means of reaching a linear state space model representative of the non-linear power system, which is a pre-requisite for LQG control design methodology.
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Nguyen, Ngac Ky. "Approches neuromimétiques pour l'identification et la commande des systèmes électriques : application au filtrage actif et aux actionneurs synchrones." Phd thesis, Université de Haute Alsace - Mulhouse, 2010. http://tel.archives-ouvertes.fr/tel-00615491.

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Cette thèse propose des approches neuromimétiques d'identification et de commande avec des applications directes au Filtre Actif Parallèle (FAP) et au Moteur Synchrone à Aiment Permanent (MSAP). Une structure neuronale complète a été développée pour réaliser toutes les fonctionnalités d'un FAP pour compenser des harmoniques de courant. La phase instantanée et les composantes symétriques d'un système triphasé de tensions ou de courants ont été estimées avec une boucle à verrouillage de phase neuronale. L'identification des harmoniques de courant a été réalisée avec des réseaux de neurones de type Adaline opérant dans les différents repères. Plusieurs schémas de commande ont été développés pour réinjecter les courants de compensation à l'aide d'un onduleur. Ils sont basés sur des techniques neuromimétiques, sur la logique floue, ou sur leur association. Une approche neuronale a été développée pour commander une MSAP à distribution quelconque avec des contraintes prédéterminées réduisant les ondulations du couple. Elle consiste en des schémas de commande directe en couple ou en vitesse pour obtenir les courants statoriques optimaux qui donnent exactement le couple électromagnétique (ou la vitesse) désiré et qui réduisent au maximum les pertes par effet Joule. Ces commandes intègrent deux blocs neuronaux, l'un dédié au calcul des courants optimaux et l'autre pour assurer leur génération à travers un onduleur de tension. Toutes les approches neuromimétiques ont été validées par des tests de simulation et des essais expérimentaux. Des comparaisons avec les méthodes de commande classique démontrent des caractéristiques supérieures en termes de performance et de robustesse.
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SHARMA, SHOBHIT R. K. "COMPARISON OF CURRENT CONTROL SCHEMES FOR SINGLE-PHASE GRID-CONNECTED PV INVERTER WITH MPPT." Thesis, 2020. http://dspace.dtu.ac.in:8080/jspui/handle/repository/18091.

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This project analyze and compares four current control schemes for a single-phase grid-connected PV inverter. The first two methods discussed are Synchronous Reference Frame (d-q) and Proportional Resonant (PR) based controllers. Both are linear regulators which uses Pulse Width Modulation (PWM) for the generation of the control signals. The PR controller provides high gain at a chosen frequency (also known as resonant frequency), due to which it is able to subdue the steady state error. Therefore, it can be successfully applied to the circuits where the controlled parameter is sinusoidal in nature with frequency of operation equal to that of resonant frequency. Whereas a PI controller suffers from steady state error and high sensitivity towards disturbance when used with sinusoidal input. To counteract this limitation of PI, the d-q transform is used to convert sinusoidal signals in stationary frame to DC signals in rotatory frame. This way the PI controller is able to bring the steady state error to zero. The other two methods described are Fuzzy logic control (FLC) and Model predictive control (MPC). These are advanced control techniques which takes into account the non-linearity of power converters. FLC also works on DC parameters and therefore the controller structure is similar to that of d-q controller except that instead of PI, a fuzzy inference system (FIS) is used to do the job. MPC on the other hand uses the state space model of the system for predicting the future value of the controlled variables. This predicted value is utilized by the controller to find the required switching state, which is in accordance with a predefined cost function. The four schemes designed are compared based on their mathematical modeling, working principle, dynamic response to disturbances, and the ease of implementation. v The modeled system consists of PV, single phase H-bridge inverter, LCL-filter and an AC grid. Compared to the L and LC filter, the LCL filter has higher harmonic attenuation at the switching frequency and better decoupling from the grid impedance. However, it suffers from inherent resonance which may introduce instability in the system. To overcome this problem, a proper damping method is required to suppress the oscillations and this is achieved using either passive damping or active damping. The often used passive damping method is to connect a resistance in series with the filter capacitor. This method has been used so as to keep the control system simple and reduce sensor circuitry. However, it reduces efficiency of the overall system. The PWM technique which has been used is Bipolar Sinusoidal Pulse Width Modulation (SPWM). This is because as compared to Unipolar SPWM, it reduces the ground leakage current and thus provide galvanic isolation to the PV system from the AC grid. The outer voltage control loop consists of a PI controller whose output acts as a reference for the inner current control loop. The outer loop regulates the PV voltage by comparing DC link capacitor voltage with the Perturb & Observe (P&O) MPPT algorithm to obtain maximum power from the modules. The effectiveness of the developed methods has been confirmed with the help of the simulation results. A 5 kVA grid-connected PV inverter is designed for this research on MATLAB/Simulink. A hardware implementation of a single phase H-bridge inverter with an LC filter is also presented. It consists of H-bridge IGBT inverter, driver circuit, level shifter circuit, auxiliary power supply, and a micro-controller. A basic open loop operation is performed and validated with the simulation results.
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12

Chen, Tzu-Feng, and 陳志豐. "For Lithium Battery Charger with Variable Charging Current and Automatic Voltage Compensation Control Schemes." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/66ynx6.

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Abstract:
碩士
國立臺北科技大學
電機工程研究所
105
This thesis presents a lithium battery charger with variable charging current and automatic voltage compensation control schemes. A digital signal processor (DSP) is used as the core of control to monitor the voltage and current of two battery packs to control the charging current and depending on the internal resistance of battery pack to do automatic voltage compensation to achieve battery pack balance and fast charging. In order to improve the charging efficiency of the charger, the lithium battery pack is adopted with 4S2P (4 series 2 parallel) connections for charging. There are three charging modes:trickle current mode - constant current mode - constant voltage mode. In this thesis, a DSP TMS320F28035 is produced by Texas Instruments is used. The system voltage is 19.5V, the switching frequency is 60 KHz, using the lithium batterie cell of Panasonic UR14650R (1000 mAh). The lithium battery pack is adopted with 4S2P (4 series 2 parallel) connections for charging application. The experimental results have verified the feasibility of the proposed architecture.
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13

Binoj, Kumar A. C. "Experimental Studies on Acoustic Noise Emitted by Induction Motor Drives Operated with Different Pulse-Width Modulation Schemes." Thesis, 2015. http://etd.iisc.ac.in/handle/2005/3960.

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Voltage source inverter (VSI) fed induction motors are increasingly used in industrial and transportation applications as variable speed drives. However, VSIs generate non-sinusoidal voltages and hence result in harmonic distortion in motor current, motor heating, torque pulsations and increased acoustic noise. Most of these undesirable effects can be reduced by increasing the switching frequency of the inverter. This is not necessarily true for acoustic noise. Acoustic noise does not decrease monotonically with increase in switching frequency since the noise emitted depends on the proximity of harmonic frequencies to the motor resonant frequencies. Also there are practical limitations on the inverter switching frequency on account of device rating and losses. The switching frequency of many inverters often falls in the range 2 kHz - 6 kHz where the human ear is highly sensitive. Hence, the acoustic noise emission from the motor drive is of utmost important. Further, the acoustic noise emitted by the motor drive is known to depend on the waveform quality of the voltage applied. Hence, the acoustic performance varies with the pulse width modulation (PWM) technique used to modulate the inverter, even at the same modulation index. Therefore a comprehensive study on the acoustic noise aspects of induction motor drive is required. The acoustic noise study of the motor drive poses multifaceted challenges. A simple motor model is sufficient for calculation of total harmonic distortion (THD). A more detailed model is required for torque pulsation studies. But the motor acoustic noise is affected by many other factors such as stator winding distribution, space harmonics, geometry of stator and rotor slots, motor irregularities, structural issues controlling the resonant frequency and environmental factors. Hence an accurate model for acoustic noise would have to be very detailed and would span different domains such as electromagnetic fields, structural engineering, vibration and acoustics. Motor designers employ such detailed models along with details of the materials used and geometry to predict the acoustic noise that would be emitted by a motor and also to design a low-noise motor. However such detailed motor model for acoustic noise purposes and the necessary material and constructional details of the motor are usually not available to the user. Also, certain factors influencing the acoustic noise change due to wear and tear during the operational life of the motor. Hence this thesis takes up an experimental approach to study the acoustic noise performance of an inverter-fed induction motor at any stage of its operating life. A 10 kVA insulated gate bipolar transistor (IGBT) based inverter is built to feed the induction motor; a 6 kW and 2.3 kW induction motors are used as experimental motors. A low-cost acoustic noise measurement system is also developed as per relevant standards for measurement and spectral analysis of the acoustic noise emitted. For each PWM scheme, the current and acoustic noise measurements are carried out extensively at different carrier frequencies over a range of fundamental frequencies. The main cause of acoustic noise of electromagnetic origin is the stator core vibration, which is caused by the interaction of air-gap fluxes produced by fundamental current and harmonic currents. In this thesis, an experimental procedure is suggested for the acoustic noise characterization of an induction motor inclusive of determination of resonant frequencies. Further, based on current and acoustic noise measurements, a vibration model is proposed for the stator structure. This model is used to predict the acoustic noise pertaining to time harmonic currents with reasonable accuracy. Literature on motor acoustic noise mainly focuses on sinusoidal PWM (SPWM), conventional space vector PWM (CSVPWM) and random PWM (RPWM). In this thesis, acoustic noise pertaining to two bus-clamping PWM (BCPWM) schemes and an advanced bus-clamping PWM (ABCPWM) scheme is investigated. BCPWM schemes are mainly used to reduce the switching loss of the inverter by clamping any of the three phases to DC rail for 120◦ duration of the fundamental cycle. Experimental results show that these BCPWM schemes reduce the amplitude of the tonal component of noise at the carrier frequency, compared to CSVPWM. Experimental results with ABCPWM show that the overall acoustic noise produced by the motor drive is reduced at low and medium speeds if the switching frequency is above 3 kHz. Certain spread in the frequency spectrum of noise is also seen with both BCPWM and ABCPWM. To spread the acoustic noise spectrum further, many variable-frequency PWM schemes have been suggested by researchers. But these schemes, by and large, increase the current total harmonic distortion (THD) compared to CSVPWM. Thus, a novel variable-frequency PWM (VFPWM) method is proposed, which offers reduced current THD in addition to uniformly spread noise spectrum. Experimental results also show spread in the acoustic noise spectrum and reduction in the dominant noise components with the proposed VFPWM. Also, the current THD is reduced at high speeds of the motor drive with the proposed method.
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14

Binoj, Kumar A. C. "Experimental Studies on Acoustic Noise Emitted by Induction Motor Drives Operated with Different Pulse-Width Modulation Schemes." Thesis, 2015. http://etd.iisc.ernet.in/2005/3960.

Full text
Abstract:
Voltage source inverter (VSI) fed induction motors are increasingly used in industrial and transportation applications as variable speed drives. However, VSIs generate non-sinusoidal voltages and hence result in harmonic distortion in motor current, motor heating, torque pulsations and increased acoustic noise. Most of these undesirable effects can be reduced by increasing the switching frequency of the inverter. This is not necessarily true for acoustic noise. Acoustic noise does not decrease monotonically with increase in switching frequency since the noise emitted depends on the proximity of harmonic frequencies to the motor resonant frequencies. Also there are practical limitations on the inverter switching frequency on account of device rating and losses. The switching frequency of many inverters often falls in the range 2 kHz - 6 kHz where the human ear is highly sensitive. Hence, the acoustic noise emission from the motor drive is of utmost important. Further, the acoustic noise emitted by the motor drive is known to depend on the waveform quality of the voltage applied. Hence, the acoustic performance varies with the pulse width modulation (PWM) technique used to modulate the inverter, even at the same modulation index. Therefore a comprehensive study on the acoustic noise aspects of induction motor drive is required. The acoustic noise study of the motor drive poses multifaceted challenges. A simple motor model is sufficient for calculation of total harmonic distortion (THD). A more detailed model is required for torque pulsation studies. But the motor acoustic noise is affected by many other factors such as stator winding distribution, space harmonics, geometry of stator and rotor slots, motor irregularities, structural issues controlling the resonant frequency and environmental factors. Hence an accurate model for acoustic noise would have to be very detailed and would span different domains such as electromagnetic fields, structural engineering, vibration and acoustics. Motor designers employ such detailed models along with details of the materials used and geometry to predict the acoustic noise that would be emitted by a motor and also to design a low-noise motor. However such detailed motor model for acoustic noise purposes and the necessary material and constructional details of the motor are usually not available to the user. Also, certain factors influencing the acoustic noise change due to wear and tear during the operational life of the motor. Hence this thesis takes up an experimental approach to study the acoustic noise performance of an inverter-fed induction motor at any stage of its operating life. A 10 kVA insulated gate bipolar transistor (IGBT) based inverter is built to feed the induction motor; a 6 kW and 2.3 kW induction motors are used as experimental motors. A low-cost acoustic noise measurement system is also developed as per relevant standards for measurement and spectral analysis of the acoustic noise emitted. For each PWM scheme, the current and acoustic noise measurements are carried out extensively at different carrier frequencies over a range of fundamental frequencies. The main cause of acoustic noise of electromagnetic origin is the stator core vibration, which is caused by the interaction of air-gap fluxes produced by fundamental current and harmonic currents. In this thesis, an experimental procedure is suggested for the acoustic noise characterization of an induction motor inclusive of determination of resonant frequencies. Further, based on current and acoustic noise measurements, a vibration model is proposed for the stator structure. This model is used to predict the acoustic noise pertaining to time harmonic currents with reasonable accuracy. Literature on motor acoustic noise mainly focuses on sinusoidal PWM (SPWM), conventional space vector PWM (CSVPWM) and random PWM (RPWM). In this thesis, acoustic noise pertaining to two bus-clamping PWM (BCPWM) schemes and an advanced bus-clamping PWM (ABCPWM) scheme is investigated. BCPWM schemes are mainly used to reduce the switching loss of the inverter by clamping any of the three phases to DC rail for 120◦ duration of the fundamental cycle. Experimental results show that these BCPWM schemes reduce the amplitude of the tonal component of noise at the carrier frequency, compared to CSVPWM. Experimental results with ABCPWM show that the overall acoustic noise produced by the motor drive is reduced at low and medium speeds if the switching frequency is above 3 kHz. Certain spread in the frequency spectrum of noise is also seen with both BCPWM and ABCPWM. To spread the acoustic noise spectrum further, many variable-frequency PWM schemes have been suggested by researchers. But these schemes, by and large, increase the current total harmonic distortion (THD) compared to CSVPWM. Thus, a novel variable-frequency PWM (VFPWM) method is proposed, which offers reduced current THD in addition to uniformly spread noise spectrum. Experimental results also show spread in the acoustic noise spectrum and reduction in the dominant noise components with the proposed VFPWM. Also, the current THD is reduced at high speeds of the motor drive with the proposed method.
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15

Wu, Cheng-Nan, and 吳政男. "Inductor Current Sensing Scheme for High-Precision Output Current Control." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/73034345241595751577.

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博士
國立臺灣大學
電機工程學研究所
103
Recently, the high brightness white light-emitted diode (LED) has become the best lighting source. A primary-side regulator (PSR) is widely used for the LED lighting application. However, the PSR often experiences the drawback of output current inaccuracy which will shorten the LED’s lift-time. The objective of this dissertation is to propose the inductor current sensing scheme (ICS2) which can be adopted to different circuit topologies to achieve high-precision output current. The proposed ICS2 senses the slope of inductor current to obtain the correct peak and valley values of inductor current. With the correct value and conduction time of the inductor current, the proposed ICS2 can achieve high-precision output current regulation. The operation principle and mathematic derivation of the proposed ICS2 are developed thoroughly. Four ICS2-based prototypes with small, middle and large power ratings for LED lighting application are built and tested. Computer simulations and experimental results are presented to confirm the performance of the proposed ICS2.
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16

Hsieh, Ying-Cheng, and 謝英成. "Adjustable Hysteresis Current Control Scheme for Induction Motor Drive." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/33810276516938647117.

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碩士
中華科技大學
機電光工程研究所碩士班
101
Abstract The traditional six-switch three-phase (6S3Ph) inverter is used to variable speed drive for AC motors and uninterruptible power systems over the years. However, The current control method in power electronic circuits play an important role, especially the PWM(Pulse Width Modulation) converter is widely used in AC motor drives and continuous AC power supply. The conventional methods including triangular wave or space-vector-based chopper control or hysteresis control, rather the former is a fixed switching frequency, the latter is a variables witching frequency. This thesis presents an adjustable hysteresis current control. The scheme is consisting of two single-phase switching voltage source to supply the three-phase induction machine drive. The technology is based on single-phase four-switch inverter hysteresis current controlled that can reduce the switching frequency and obtain lower harmonic performance to improved third-level phase variable voltage source with hysteresis of inverter. In this research, the output load torque and THD are used to adjust value of current waveform and hysteresis, respectively. The method could reduce the switching frequency and lose under the limit maximum THD value.ThePSimsofeware simulation and verified that the method is simple and effective.
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17

Wang, Bo-Xiang, and 王柏翔. "Current Sharing Control Scheme for Dual Interleave Boost Converter." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/7m4m4f.

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碩士
國立虎尾科技大學
車輛工程系碩士班
103
Current Sharing Control Scheme has been presented in this thesis and applied to a dual Interleave Boost Converter. This technique should be operated under power 100W. Using the interleave converter to make the output load be shared by two booster circuits. But all the parameters for both dual Interleave Boost Converters must be the same. For example, inductance, switches, various of power components , control components, and power consumption. Also the circuit board has to be the same as above-mentioned. It will be certain degree of difficulty in making circuit boards and mass production. Therefore, Current Sharing Control Scheme has added in this thesis, get the current from the output by using a Hall Sensor, through the comparator, differential amplifier, and negative feedback, and then send back each parameter to Dual Interleave Boost Converter Pulse Width Modulation (PWM). When sum up the total of two parameters, the two Dual Interleave Boost Converters will determine how much the Pulse Width Modulation need to reduce or increase. Under any load condition, each converter can share 50% of the load equally. Two sets of Dual Interleave Boost Converter with Current Sharing Control and parallel connected are developed. The output power of the proposed scheme is 140W. It has been confirmed its feasibility, and the experimental results are satisfactory.
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18

Wang, Jeng Jie, and 王政傑. "A Dimmable RGB LED Driver with Single-Inductor Multiple-Current Regulation Control Scheme." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/xy5aes.

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Abstract:
碩士
國立臺灣科技大學
電子工程系
105
Due to the advantages of long life span and small size, light-emitting diode (LED) has been a popular light source and widely used in electronic products. A dimmable RGB LED driver with single-inductor multiple-current regulation control is presented in this paper. By using single inductor multiple current output control, each LED string is controlled independently, so as to achieve current balance. In addition, no current regulation is used for preventing from additional power loss while high current accuracy can be achieved. The LED driver is implanted in TSMC 0.35μm 24PM CMOS process. The chip area including PADs is 1.47 ×1.32 mm2. The specifications of the LED driver are the input voltage range of 16~20V, output voltage of 7~10V, switch frequency of 500 kHz, LED current range of 150mA~350mA. When LED current is set as 350mA, the error rates of red, green, and blue LED strings are 0.03%, 0.02%, and 0.02%, respectively.
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19

Chiu, Chen-Hua, and 邱振華. "Beat-Frequency Oscillations in Multiphase Interleaved Voltage Regulators with High-Gain Peak-Current Control Scheme." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/45337837279462693246.

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碩士
臺灣大學
電機工程學研究所
98
Interleaved buck converters have been popularly used in the voltage regulators for powering the recent central processing units (CPUs) used in computer with energy-saving features. An interleaved power converter configuration features high efficiency, fast transient responses, distributed power dissipation, and easy modularity. Combining these features with the energy-saving measures adopted in recent CPUs such as dynamic loading and adaptive-voltage-position (AVP) really makes the whole computer system energy-efficient. However, the combination of an interleaved converter configuration and the dynamic CPU load may cause serious problems with phase current oscillating at beat frequency; i.e., the difference frequency of the converter switching frequency and the dynamic-load frequency. The focus of this thesis is to investigate such a problem in a recently reported High-Gain Peak Current Control (HGPCC) scheme. HGPCC is an attractive scheme for achieving AVP control which has been used in recent years to reduce the CPU losses in computers applications. In the thesis, a multi-frequency model of the pulse-width-modulator was used in the modeling of this converter to take into account the feedback control effects of side-band signal (i.e., the beat-frequency signal) into considerations. A review of the oscillation problems was given for the conventional voltage-mode and peak-current-control interleaved converters. The HGPCC configuration was then modeled in details. It was concluded from the modeling effort that the HGPCC scheme has no suppression effect on the beat-frequency oscillation. A modified HGPCC configuration was then proposed to mitigate this problem while retaining all the basic features of original HGPCC. Simulations and experimental results were presented at the end to verify the model and the validity of the proposed modified HGPCC. Future research directions were also pointed out at the end of the thesis.
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20

Chen, Yung-Jen, and 陳永任. "Modeling of a Constant On-Time Current-Mode Control Scheme with Offset-Correction and Adaptive Voltage Positioning Functions for Voltage Regulators." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/68013320994299716908.

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Abstract:
碩士
國立臺灣大學
電機工程學研究所
100
Voltage regulators have been widely used in many computer applications for powering the central processing units (CPU). Converter efficiency has always been a design priority but most emphasis had been placed on the efficiency under the heavy-load conditions until recent years. Considering the fact that most of the DC converters are operating under light-load or standby conditions most of the time, the total energy loss is significant especially considering the number of computers used today. To meet the challenges described above, constant on-time (COT) control scheme has received much attention by industry recently. COT control scheme features improved light-load efficiency while preserving heavy-load efficiency. There are various of constant on-time control schemes. The focus of the present thesis is on the current-mode COT scheme (COTCM) applied to a buck converter with adaptive voltage positioning (AVP) feature. Current mode control is considered because it features inherent channel current balancing. AVP is considered because that’s the feature imposed by computer chip maker INTEL Corp. for the purpose of energy saving. In this thesis, the focus of investigation is on the circuit feedback stability and the converter output impedance which is an important consideration to achieve AVP function. A small-signal model is developed based on describing-function approach which is complicated but necessary to uncover the inherent nature of this control scheme. Experimental results will be shown. A comparison with other COT control schemes will also be given.
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21

Zaman, Mohammad Shawkat. "A Current Re-distribution Scheme for Improved Energy Harvesting in Concentrating Photovoltaic Systems Using Fine-grained dc-dc Conversion." Thesis, 2013. http://hdl.handle.net/1807/35150.

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This thesis presents a distributed power-management architecture for concentrating photovoltaic (CPV) systems. Specifically, the Δ-conversion scheme with voltage equalization is analyzed and verified for the CPV system from Morgan Solar, Inc. This architecture uses inverting buck-boost converters, denoted Δ-converters, which equalize the voltages of neighbouring CPV cells in a series-connected string of cells and improve the systems tolerance to parameter variations. The power benefits of Δ-conversion and the Δ-converter current distributions are investigated using statistical simulations. The effectiveness of Δ-conversion in the presence of randomly distributed mismatches is demonstrated, and current cascading is identified as the main design challenge. The Δ-converter is modelled and compensated using Middlebrook's Extra Element Theorem. Analysis of measured data from a six-cell CPV system demonstrate the benefits of Δ-conversion under realistic scenarios. Experimental results from prototype systems show up to 31% power benefits in the presence of mismatches.
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