MULTILEVEL inverters are the preferred choice of converters for electronic power conversion for high power applications. They are gaining popularity in variety of industrial applications including electric motor drives, transportation, energy management, transmission and distribution of power. A large portion of energy conversion systems comprises of multilevel inverter fed induction motor drives. The multilevel inverters are ideal for such applications, since the switching frequency of the devices can be kept low. In conventional two level inverters, to get nearly sinusoidal phase current waveform, the switching frequency of the inverter is increased and the harmonics in the currents are pushed higher in the frequency spectrum to reduce the size and cost of the filters. But higher switching frequency has its own drawbacks – in particular for medium voltage, high power applications. They cause large dv_/ dt stresses on the motor terminals and the switching devices, leading to increased electromagnetic interference (EMI) problems and higher switching losses. Harmonics in the motor currents can further be minimized by adopting dodecagonal voltage space vector (SV) switching (12-sided polygon). In case of dodecagonal SV switching, the fifth and seventh order (6n , 1, n = odd) harmonics are completely eliminated for the full modulation range including over modulation and twelve step operation in the motor phase voltages and currents. In addition to low order harmonic current suppression, the linear modulation range for dodecagonal SV switching is also more by 6% when compared to that of the conventional hexagonal SV switching. The dodecagonal voltage SV structure is made possible by connecting two inverters with DC-link voltages Vd and 0:366Vd on either side of an open-end winding induction motor. The dodecagonal space vector switching can be used to produce better quality phase voltage and current waveforms and overcome the problem of low order fifth and seventh harmonic currents and to improve the range for linear modulation while reducing the switching frequency of the inverters when compared to that of the conventional hexagonal space vector based inverters. This thesis focuses on three aspects of multilevel dodecagonal space vector structures (i) Two new power circuit topologies that generate a multilevel dodecagonal voltage space vector structure with symmetric triangles, (ii) A multilevel dodecagonal SV structure with nineteen concentric dodecagons, (iii) Pulse width modulation (PWM) timing calculation methods for a general N-level dodecagonal SV structure. (i) Two new power circuit topologies capable of generating multilevel dodecagonal voltage space vector structure with symmetric triangles with minimum number of DC link power supplies and floating capacitor H-bridges are proposed. The first power topology is composed of two hybrid cascaded five level inverters connected to either side of an open end winding induction machine. Each inverter consists of a three level neutral point clamped (NPC) inverter, cascaded with an isolated capacitor fed H-bridge making it a five level inverter. The second topology is a hybrid topology for a normal induction motor (star or delta connected), where the power is fed to the motor only from one side. The proposed scheme retains all the advantages of multilevel topologies as well the advantages of the dodecagonal voltage space vector structure. Both topologies have inherent capacitor balancing for floating H-bridges for all modulation indices including transient operations. The proposed topologies do not require any pre-charging circuitry for startup. PWM timing calculation method for space vector modulation is also explored in this chapter. Due to the symmetric arrangement of congruent triangles within the voltage space vector structure, the timing computation requires only the sampled reference values and does not require any iterative searching, off-line computation, look-up tables or angle estimation. Experimental results for steady state operation and transient operation are also presented to validate the proposed concept. (ii) A multilevel dodecagonal voltage space vector structure with nineteen concentric do-decagons is proposed for the first time. This space vector structure is achieved by connecting two sets of asymmetric hybrid five level inverters on either side of an open-end winding induction motor. The dodecagonal structure is made possible by proper selection of DC-link voltages and switching states of the inverters. In addition to that, a generic and simple method for calculation of PWM timings using only sampled reference values (v and v ) is proposed. This enables the scheme to be used for any closed loop application like vector control. Also, a new switching technique is proposed which ensures minimum switching while eliminating the fifth and seventh order harmonics and suppressing the eleventh and thirteenth harmonics, eliminating the need for bulky filters. The motor phase voltage is a 24-stepped waveform for the entire modulation range thereby reducing the number of switchings of the individual inverter modules. Experimental results for steady state operation, transient operation including start-up have been presented and the results of Fast Fourier Transform (FFT) analysis is also presented for validating the proposed concept. (iii) A method to obtain PWM timings for a general N-level dodecagonal voltage space vector structure using only sampled reference values is proposed. Typical methods that are used to find PWM timings for dodecagonal SV structures use modulation index and the reference vector angle, to get the timings T1 and T2 using trigonometric calculations. This method requires look-up tables and is difficult to implement in closed loop systems. The proposed method requires only two additions to compute these timings. For multilevel case, typical iterative methods need timing calculations (matrix multiplications) to be performed for each triangle. The proposed method is generic and can be extended to any number of levels with symmetric structures and does not require any iterative searching for locating the triangle in which the tip of the reference vector lies. The algorithm outputs the triangle number and the PWM timing values of T0, T1 and T2 which can be set as the compare values for any carrier based PWM module to obtain space vector PWM like switching sequences. Simulation and experimental results for steady state and transient conditions have been presented to validate the proposed method. A 3.7 kW, 415 V, 50 Hz, 4-pole open-end winding induction motor was used for the experimental studies. The semiconductor switches that were used to realize the power circuit for the experiment were 75 A, 1200 V insulated-gate bipolar transistor (IGBT) half-bridge modules (SKM75GB12T4). Opto-isolated gate drivers with desaturation protection (M57962L) were used to drive the IGBTs. For the speed control and PWM timing computation a digital signal processor (DSP-TMS320F28335) with a clock frequency of 150 MHz was used. For modulation frequencies 10 Hz and below, a constant sampling frequency of 1 kHz was used as the frequency modulation ratio is high. For modulation frequencies above 10 Hz, synchronous PWM strategy was used. The time duration Ts is the sampling interval for which the timings T1 , T2 and T0 are calculated. As in the case of any synchronous PWM method, the duration of sampling time (Ts) is a function of the fundamental frequency of the modulating signal. In this case, Ts = 1_.fm • 12n) sec. where fm is fundamental frequency in Hertz and ‘n’ is the number of samples per 30ý dodecagonal sector. The PWM timings and the triangle data (from the DSP) is fed to field programmable gate array (FPGA) (SPARTAN XC3S200) clocked at 50 MHz where the actual gating pulses are generated. The capacitor balancing algorithm and the dead-time modules were implemented within FPGA. No external hardware was used for generation of dead-time. The dead-time block generates a constant dead-time of 2 s for all the switches. Extensive testing was done for steady state operations and transient operations including quick acceleration and start-up to validate the proposed concepts. With the advantages like extension of linear modulation range, elimination of fifth and seventh harmonics in phase voltages and currents for the full modulation range, suppression of eleventh and thirteenth harmonics in phase voltages and currents, reduced device voltage ratings, lesser dv_dt stresses on devices and motor phase windings, lower switching frequency, inherent cascaded H-bridge (CHB) capacitor balancing, the proposed space vector structures, the inverter power circuit topologies, the switching techniques and the PWM timing calculation methods can be considered as viable schemes for medium voltage, high power motor drive applications.

This term paper deals about history, principle and use of photovoltaic panel. It describes their stucture and constantly improving properties of these panels. It outlines their gradual generational evolution from beginning to present. Then it describes the various systems involved on – grid and off – grid. It also describes and compares the photovoltaic panels and inverters from different global manufacturer. The end of this work deals about conditions of photovoltaic in the Czech republic and about Hady photovoltaic incubator, which belongs to the company Energ servis a.s. It presents a comparison of different local and the analysis of the impact of shading for the achievement of the photovoltaic panel. It makes mathematic models for calculation of the spacing range and calculation the power loss in a specific shade.

Η παρούσα διπλωματική εργασία πραγματεύεται την μελέτη και κατασκευή ενός συστήματος ελέγχου για έναν κινητήρα μαγνητικής αντίδρασης (Reluctance). Η εργασία αυτή εκπονήθηκε στο Εργαστήριο Ηλεκτρομηχανικής Μετατροπής Ενέργειας του Τμήματος Ηλεκτρολόγων Μηχανικών της πολυτεχνικής σχολής του Πανεπιστημίου Πατρών. Σκοπός της εργασίας αυτής, είναι η μελέτη και η κατασκευή ενός τριφασικού αντιστροφέα πηγής τάσης, ο οποίος θα επιτρέπει την υλοποίηση βαθμωτού και διανυσματικού ελέγχου για έναν σύγχρονο κινητήρα μαγνητικής αντίδρασης χωρίς έκτυπους πόλους στο στάτη. Ο σύγχρονος κινητήρας μαγνητικής αντίδρασης χωρίς έκτυπους πόλους στο στάτη, όπως και οποιοσδήποτε άλλος κινητήρας μαγνητικής αντίδρασης, βασίζει τη λειτουργία του στη ροπή αντίδρασης, γεγονός από το οποίο προέρχεται και η ονομασία των κινητήρων αυτού του είδους (ReluctanceMotors). Το κύριο χαρακτηριστικό των κινητήρων μαγνητικής αντίδρασης είναι η έλλειψη οποιασδήποτε πηγής διέγερσης στο δρομέα. Τα τελευταία χρόνια έχει αναπτυχθεί έντονο επιστημονικό ενδιαφέρον σχετικά με τη βελτιστοποίηση της κατασκευής των σύγχρονων κινητήρων μαγνητικής αντίδρασης χωρίς έκτυπους πόλους στο στάτη, καθώς και των μεθόδων ελέγχου, που μπορούν να εφαρμοστούν για βελτιστοποίηση της λειτουργίας τους. Αρχικά μελετήθηκαν οι βασικές αρχές λειτουργίας των μηχανών εναλλασσόμενου ρεύματος και η ανάλυση επικεντρώθηκε στο σύγχρονο κινητήρα μαγνητικής αντίδρασης. Μελετήθηκαν τα κατασκευαστικά χαρακτηριστικά του σύγχρονου κινητήρα μαγνητικής αντίδρασης χωρίς έκτυπους πόλους στο στάτη, το μαθηματικό μοντέλο που περιγράφει τη λειτουργία του, συγκρίθηκε με άλλους τύπους κινητήρων εναλλασσόμενου ρεύματος και παρουσιάστηκαν οι μέθοδοι ελέγχου που μπορούν να εφαρμοστούν σε έναν σύγχρονο κινητήρα μαγνητικής αντίδρασης χωρίς έκτυπους πόλους στο στάτη. Επιπλέον μελετήθηκε ο τριφασικός αντιστροφέας πηγής τάσης, ο οποίος είναι απαραίτητος για την οδήγηση ενός σύγχρονου κινητήρα μαγνητικής αντίδρασης, καθώς και διάφορες τεχνικές για την παλμοδότησή του. Τέλος προσομοιώθηκε ο σύγχρονος κινητήρας μαγνητικής αντίδρασης με το πρόγραμμα προσομοίωσης Matlab/Simulink για διάφορες καταστάσεις λειτουργίας του, και ακολούθησε η κατασκευή του τριφασικού αντιστροφέα για την πειραματική διερεύνηση και επιβεβαίωση των αποτελεσμάτων της προσομοίωσης. / The present diploma thesis deals with the design and manufacture of a control system for a Reluctance Motor. This work was developed in the Laboratory of Electromechanical Energy Conversion at the Department of Electrical Engineering and Computer Technology of the School of Engineering in the University of Patras, Greece. The purpose of this thesis is the design and manufacture of a three-phase voltage source inverter for the control of the performance of a Synchronous Reluctance Motor by the implementation of Scalar and Vector control. The operation of Synchronous Reluctance Motor, like any other type of Reluctance Motors, is based on reluctance torque. The main characteristic of Reluctance Motors is that the rotor does not have any field winding. During the last years, a great interest has emerged around the Synchronous Reluctance Motor, which mainly focuses on the optimization of its construction and control. At first, an introduction to the operation principles of the AC motor is done, while the main interest is focused on Synchronous Reluctance Motor. The analysis of Synchronous Reluctance Motor covers many aspects, such as its construction characteristics, its dynamic model, its control strategies, as well as a comparison with other AC motors. Furthermore the three phase inverter is studied and its modulation techniques, since it is used for the driving of the motor. Finally the Synchronous Reluctance Motor is simulated in Matlab/Simulink for some operating conditions, and a three phase voltage source inverter is constructed for the experimental investigation and to see the relationship between the results of the simulation and the experiment.

Este trabalho apresenta um estudo de medições e simulações de fluxo harmônico na Usina Solar Fotovoltaica do Estádio Mineirão em Belo Horizonte/MG. O objetivo foi verificar o comportamento dos inversores solares fotovoltaicos na geração de harmônicos e a atenuação ocorrida pela agregação de múltiplos inversores. Para isso, foram realizadas medições em seis pontos estratégicos da usina investigada, por meio de analisadores de qualidade de energia, o que possibilitou a verificação do comportamento da usina em horários distintos e condições climáticas diversas. Foi avaliada a injeção de harmônicos no sistema elétrico pelos inversores e comparados os valores com os limites previstos em normas, procedimentos e recomendações vigentes. Além disso, o modelo completo da usina foi desenvolvido e simulado utilizando os softwares OpenDSS, ANAH e PowerFactory para análise harmônica e sua validação com os dados de medição. Os resultados obtidos indicam boa conformidade das medições e adequações dos modelos desenvolvidos. / This work presents a study of harmonic measurements and flow simulations in Photovoltaic Solar Plant of the Mineirao Stadium in Belo Horizonte/MG. The objective was to verify the behavior of photovoltaic solar inverters in the generation of harmonics and the attenuation occurred by the aggregation of multiple inverters. For this, measurements were performed on six strategic points of the investigated plant through power quality analyzers, allowing the verification of the plant's behavior at different times and different climates. It was evaluated the injection of harmonics in the electrical system for inverters and compared the values with the limits laid down in standards, procedures and current recommendations. In addition, the complete model of the plant was developed and simulated using the OpenDSS, ANAH and PowerFactory softwares to harmonic analysis and its validation with the data measurement data. The results indicate good agreement between measurement and developed models.

No Brasil, a necessidade crescente por sistemas de geração solar fotovoltaica conectados à rede de distribuição levou ao desenvolvimento de normas brasileiras para a conformidade de inversores. Assim, de forma a atender a população em geral, foi publicada a Portaria 357, de 01 de agosto de 2014, do Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO), que inclui inversores para conexão à rede de potência nominal até 10 kW no Programa Brasileiro de Etiquetagem (PBE). Por possuir os equipamentos necessários para a realização dos ensaios de conformidade com a portaria 357, o Laboratório de Sistemas Fotovoltaicos (LSF) do Instituto de Energia e Ambiente da Universidade de São Paulo passa então a ser o primeiro laboratório acreditado pelo INMETRO para a realização desses ensaios. Este trabalho tem como objetivo resumir as experiências de aplicação das normas brasileiras no ensaio de inversores para o PBE no LSF, sendo levantados os resultados obtidos no ensaio de 15 inversores ao longo de três anos de operação da bancada de ensaio para sistemas conectados à rede. A partir deste levantamento conclui-se que, embora as normas brasileiras exijam rigor em seus requisitos, existem inversores capazes de atender aos requisitos normativos brasileiros, assim como existem inversores que necessitam de implementações nos respectivos firmware de controle para conseguirem atender todos os requisitos. Uma vez que as normas brasileiras são recentes, este trabalho também destaca pontos das normas que se beneficiariam de adequações no corpo do texto, a fim de melhorar as rotinas de ensaios em inversores e critérios de conformidade. / In Brazil, the increasing demand for grid-tie photovoltaic systems lead to the development of the Brazilian standards for inverter quality and evaluation. In order to meet the general population demand, the National Institute for Metrology, Quality and Technology (INMETRO) published the normative nº 357 01/08/2014 to include inverters up to 10 kW in the Brazilian Labeling Program (PBE). For having all the equipment needed for inverter conformity evaluation in accordance with the normative nº 357, the Laboratory of Photovoltaic Systems (LSF) of the Institute of Energy and Environment of the University of Sao Paulo becomes the first INMETRO accredited laboratory for conducting the inverter evaluation in Brazil. This works main goal is to summarize the experience acquired for the appliance of the Brazilian standards for inverter testing in the LSF. The results obtained for the test of 15 different inverters during the first three years operating the inverter test bench are showed. Using the data shown this work concludes that, although the Brazilian standards are rigorous on its criteria, there are inverters capable of complying with the standards requirements and there are inverters that need further software and hardware development in order to comply with all the requirements. Since the Brazilian standards are in its first version, this work also aims to point out aspects of the standard that would benefit from text revising in order to improve the test conditions and conformity criteria.

No Brasil, a necessidade crescente por sistemas de geração solar fotovoltaica conectados à rede de distribuição levou ao desenvolvimento de normas brasileiras para a conformidade de inversores. Assim, de forma a atender a população em geral, foi publicada a Portaria 357, de 01 de agosto de 2014, do Instituto Nacional de Metrologia, Qualidade e Tecnologia (INMETRO), que inclui inversores para conexão à rede de potência nominal até 10 kW no Programa Brasileiro de Etiquetagem (PBE). Por possuir os equipamentos necessários para a realização dos ensaios de conformidade com a portaria 357, o Laboratório de Sistemas Fotovoltaicos (LSF) do Instituto de Energia e Ambiente da Universidade de São Paulo passa então a ser o primeiro laboratório acreditado pelo INMETRO para a realização desses ensaios. Este trabalho tem como objetivo resumir as experiências de aplicação das normas brasileiras no ensaio de inversores para o PBE no LSF, sendo levantados os resultados obtidos no ensaio de 15 inversores ao longo de três anos de operação da bancada de ensaio para sistemas conectados à rede. A partir deste levantamento conclui-se que, embora as normas brasileiras exijam rigor em seus requisitos, existem inversores capazes de atender aos requisitos normativos brasileiros, assim como existem inversores que necessitam de implementações nos respectivos firmware de controle para conseguirem atender todos os requisitos. Uma vez que as normas brasileiras são recentes, este trabalho também destaca pontos das normas que se beneficiariam de adequações no corpo do texto, a fim de melhorar as rotinas de ensaios em inversores e critérios de conformidade. / In Brazil, the increasing demand for grid-tie photovoltaic systems lead to the development of the Brazilian standards for inverter quality and evaluation. In order to meet the general population demand, the National Institute for Metrology, Quality and Technology (INMETRO) published the normative nº 357 01/08/2014 to include inverters up to 10 kW in the Brazilian Labeling Program (PBE). For having all the equipment needed for inverter conformity evaluation in accordance with the normative nº 357, the Laboratory of Photovoltaic Systems (LSF) of the Institute of Energy and Environment of the University of Sao Paulo becomes the first INMETRO accredited laboratory for conducting the inverter evaluation in Brazil. This works main goal is to summarize the experience acquired for the appliance of the Brazilian standards for inverter testing in the LSF. The results obtained for the test of 15 different inverters during the first three years operating the inverter test bench are showed. Using the data shown this work concludes that, although the Brazilian standards are rigorous on its criteria, there are inverters capable of complying with the standards requirements and there are inverters that need further software and hardware development in order to comply with all the requirements. Since the Brazilian standards are in its first version, this work also aims to point out aspects of the standard that would benefit from text revising in order to improve the test conditions and conformity criteria.

With the advent of power electronics, inverter-driven induction motor are finding increased use in industries because of applications that demand variable speed operations and because of the potential savings in energy usage. However, these drives sometimes produce unacceptably high levels in vibration and acoustic noise. A literature survey has revealed that while there has been intensive research on the design of inverters to minimize acoustic noise radiation from these drives, the vibro-acoustic behaviour of an induction motor structure has received relatively little attention. The primary objective of this research project, therefore, is to develop a general strategy/algorithm for estimating the acoustic noise radiated from inverter-driven induction motors. By using a three-phase, 2.2 kW induction motor, the vibration modes due to various structural components (such as the rotor, the stator/casing, the endshields and the base plate) of the motor structure were analysed by experimental modal testing. Results indicate that the vibration modes due to the rotor are only important at low frequencies. It has been found that the power injection method gives more accurate measurement of the damping of a motor structure than the modal testing and the time decay methods. If a point force excitation is used, then it is more accurate to measure the sound radiation efficiency than the power conversion efficiency for motor structures. The effect of three different inverter designs (an ideal ???almost sinusoidal??? controller and two commercially available PWM inverters) on the radiated acoustic power were assessed for both no-load and load conditions using sound intensity measurements conducted in an anechoic room. The results indicate that although the sound power level due to aerodynamic and mechanical noise increases at a rate of 12 dB per doubling of the motor speed, the electromagnetic noise dominates at low motor speeds and is still a significant noise source even at high motor speeds. For inverters with low switching frequencies, the radiated sound power level is almost 15 dB higher than the ideal case at low speeds and is relatively insensitive to the motor speed. For inverters that implement the random modulation technique, the change in the total sound power level with the level of the random modulation is very small but the tonal nature of the noise is greatly reduced. The vibration behaviour of a motor structure was modeled using the finite element method (FEM) and validated using the experimental modal testing results. It has been found that it is essential to model the laminated stator as an orthotropic structure. While the details of other structural components (such as the endshields, the teeth in the stator and the windings) are not so important, it is essential that they are incorporated into the structural model as simplified structures to account for their mass, stiffness and boundary conditions imposed on the motor structure. Based on this structural model, the radiated acoustic power for various operating conditions has been predicated using the boundary element (BEM) and the electromagnetic force calculated from an electromagnetic finite element model. The predicted results agree reasonably well with experimental measurements. Despite the success of the FEM/BEM approaches, they can be prohibitively expensive (in terms of computer resources required) to apply to large motors and high frequencies. Thus the feasibility of using a statistical method, namely, the statistical energy analysis (SEA), to estimate the radiated acoustic sound power from an inverter-driven induction motor has been examined. In order to carry out this analysis, analytical expressions for calculating the natural frequencies and radiation efficiency of finite length circular cylindrical shells (which are simplified models of the stator and casing of a motor structure) were firstly derived. The internal loss factors and coupling loss factors of the motor structure were determined experimentally using the power injection method. Then by introducing an equivalent surface mobility of circular cylindrical shells for the electromagnetic force, the vibration response and the acoustic noise radiated from each part of the motor structure were estimated. Results indicate that SEA method is potentially an efficient and effective tool in estimating the noise radiated from inverter-driven induction motors.

University of Macau / Faculty of Science and Technology / Department of Electrical and Electronics Engineering

Harmonic distortions are inevitably caused by a rectifier and an inverter due to their inherent nonlinearities. An AC-DC-AC converter, configured by the series connection of a rectifier, DC link, and an inverter, induces harmonic distortions at both AC sides and at the DC link. These harmonics can nonlinearly interact or modulate the fundamental frequencies at the AC sides to cause interharmonic distortions. Harmonic and interharmonic distortions can seriously hamper the normal operation of the power system by means of side effects such as excitation of undesirable electrical and/or mechanical resonances, misoperation of control devices, and so forth. This dissertation presents effective methodologies to mitigate harmonic and interharmonic distortions by applying dithered pulse-width modulated (PWM) signals to a voltage-sourced inverter (VSI) type adjustable speed drive (ASD). The proposed methods are also efficient because the dithering applications are performed on control signals without the need for additional devices. By the help of dithering, the rejection bandwidth of a harmonic filter can be relaxed, which enables a lower-order configuration of harmonic filters. First, this dissertation provides a dithering application on gating signals of a sinusoidal PWM (SPWM) inverter in the simulated VSI-ASD model. The dithering is implemented by adding intentional noise into the SPWM process to randomize rising and falling edges of each pulse in a PWM waveform. As a result of the randomized edges, the periodicity of each pulse is varied, which result in mitigated harmonic tones. This mitigation of PWM harmonics also reduces associated interharmonic distortions at the source side of the ASD. The spectral densities at harmonic and interharmonic frequencies are quanti fied by Fourier analysis. It demonstrates approximately up to 10 dB mitigation of harmonic and interharmonic distortions. The nonlinear relationship between the mitigated interharmonics and harmonics is confirmed by cross bicoherence analysis of source- and DC-side current signals. Second, this dissertation proposes a dithered sigma-delta modulation (SDM) technique as an alternative to the PWM method. The dithering method spreads harmonic tones of the SD M bitstream into the noise level. The noise-shaping property of SDM induces lower noise density near the fundamental frequency. The SDM bitstream is then converted into SDM waveform after zero-order interpolation by which the noise-shaping property repeats at every sampling frequency of the bitstream. The advantages of SDM are assessed by comparing harmonic densities and the number of switching events with those of SPWMs. The dithered SD M waveform bounds harmonic and noise densities below approximately -30 dB with respect to the fundamental spectral density without increasing the number of switching events. Third, this dissertation provides additional validity of the proposed method via hardware experiments. For harmonic assessment, a commercial three-phase inverter module is supplied by a DC voltage source. Simulated PWM signals are converted into voltage waveforms to control the inverter. To evaluate interharmonic distortions, the experimental configuration is extended to a VSI-ASD model by connecting a three-phase rectifier to the inverter module via a DC link. The measured voltage and current waveforms are analyzed to demonstrate coincident properties with the simulation results in mitigating harmonics and interharmonics. The experimental results also provide the efficacy of the proposed methods; the dithered SPWM method effectively mitigates the fundamental frequency harmonics and associated interharmonics, and the dithered SDM reduces harmonics with the desired noise-shaping property. / text

Σκοπός της συγκεκριμένης διπλωματικής εργασίας είναι η εξομοίωση ενός φωτοβολταϊκού συστήματος διασυνδεδεμένου στο τριφασικό δίκτυο με σκοπό τη μελέτη της λειτουργίας του και του καλύτερου σχεδιασμού του. Το σύστημα περιλαμβάνει τη φωτοβολταϊκή γεννήτρια, ένα φίλτρο διασύνδεσης της γεννήτριας με τον αντιστροφέα και ένα απλοποιημένο μοντέλο του τριφασικού συστήματος. Για την εξομοίωση του κυκλώματος το οποίο είναι χρονικά μεταβαλλόμενο λόγω της διακοπτικής λειτουργίας του μετατροπέα αναπτύσσεται μια συστηματική και αποτελεσματική μέθοδος για την ανάλυση κυκλωμάτων που περιέχουν e-R-L, C κλάδους και ιδανικούς διακόπτες. Χρησιμοποιώντας την τοπολογία του κυκλώματος και κατάλληλες μήτρες μετασχηματισμού οι εξισώσεις που περιγράφουν το αγώγιμο και μη αγώγιμο τμήμα του κυκλώματος προκύπτουν αυτόματα. Οι χρησιμοποιούμενες μήτρες μετασχηματισμού προκύπτουν με απλό και συστηματικό τρόπο από τις θεμελιώδης μήτρες του κυκλώματος. Σε κάθε βήμα προκύπτουν τα ρεύματα όλων των κλάδων του κυκλώματος από την επίλυση του αγώγιμου τμήματος αυτού και οι τάσεις των βαλβίδων που δεν άγουν από την επίλυση του μη αγώγιμου τμήματός του. Η μέθοδος είναι γενική και μπορεί να εφαρμοστεί για την μελέτη τυχόντων σφαλμάτων σε οποιοδήποτε τμήμα του κυκλώματος. Παρουσιάζονται τα αποτελέσματα της εξομοίωσης για λειτουργία του μετατροπέα ως ανορθωτή, ως αντιστροφέα, ως αντιστροφέα με φωτοβολταϊκή γεννήτρια και ως αντιστροφέα με φωτοβολταϊκή γεννήτρια και με ανιχνευτή σημείου μέγιστης ισχύος. Το χρησιμοποιηθέν μοντέλο θα μπορούσε να βελτιωθεί αν στην θέση του τριφασικού συστήματος χρησιμοποιηθεί ακριβέστερη αναπαράσταση του τριφασικού δικτύου στην οποία να περιλαμβάνεται και ο τριφασικός μετασχηματιστής ισχύος που διασυνδέει το φωτοβολταϊκό σύστημα με το AC δίκτυο. / The objective of this “Diploma Thesis” is the simulation of a grid connected photovoltaic (PV) system and the study of its operation. The system consists of a PV generator, a DC filter and a simplified model of the three-phase system. The method which was used for the simulation of the circuit (which is a varying topology circuit due to the switching operation of the converter) is a systematic, efficient and conceptually simple method for the analysis of circuits consisting of linear e, R, L, C elements and ideal switches. On the basis of well known network topological concepts a suitable transformation tensor is constructed at every step. This tensor constitutes a flexible and powerful tool to assemble automatically the necessary on-switch current and off-switch voltage equations required for any conduction pattern. The method is general and can be applied for the study of any random faults in any part of the circuit. Results of the simulation for operation of the converter as rectifier, as inverter with battery, as inverter with PV generator and as inverter with PV generator and with MPPT are presented. The used model could be improved if the three-phase system is more precisely represented by a power three-phase transformer which connects the PV system with the AC network.