A Universal Formulation for Multilevel Selective Harmonic Elimination - PWM with Half-Wave Symmetry

Selective harmonic elimination - pulse width modulation (SHE-PWM) can be utilized to improve the efficiency of multilevel voltage source converters due to its ability to provide low switching frequency and tight control of low-order harmonics. In addition, SHE-PWM with half-wave (HW) symmetry provides a higher number of solutions than quarter-wave (QW) symmetry and therefore, the waveform design can be improved. This work proposes a universal formulation, which can be utilized with HW symmetry, that provides a unique system of equations valid for any possible multilevel waveform. Thereby, without using predefined waveforms, this formulation provides the ability to search simultaneously both the firing angles and the switching patterns, simplifying significantly the search process and providing a high number of solutions. With the aim of selecting the optimum sets of firing angles, the solutions provided by HW and QW symmetries are compared, based on several metrics of harmonic performance, for particular test cases. Experimental results also validate the universal formulation with HW symmetry.Eusko Jaurlaritza; Secretaria de Estado de Investigacion Desarrollo e Innovacio

Grid-Connected Single-Star Bridge-Cells Modular Multilevel Cascaded Converter with Selective Harmonic Elimination Techniques

Nowadays, Renewable Energy Sources (RESs) are receiving enormous attention due to the noticeable exhaustion of fossil fuel and its emission of greenhouse gases. DC-AC converters have attracted the attention of the researchers, as they are entailed to integrate RESs to the grid to comply with the grid frequency and voltage requirements. Due to the high penetration of RESs, especially with elevated power levels, high-power converters are needed, which necessitates higher voltage and current ratings of the semiconductor devices. The unavailability of high voltage semiconductor devices has directed the attention to the use of either series connection of semiconductor devices or Multilevel Inverters (MLIs). MLIs allow using several low rated semiconductors to hold the high output power of the inverter. The MLI output waveform is close to sinusoidal in nature, therefore it may require a small filter to enhance the output power quality. There are many types of MLIs, where the most common MLIs are Flying Capacitor, Diode Clamped, and Modular Multilevel Cascaded Converter (MMCC). The MMCC can be classified into three main formations, the Single-Star Bridge-Cells MMCC (SSBC-MMCC), the Double-Star Bridge-Cells MMCC (DSBC-MMCC), and the Double-Star Chopper-Cells MMCC (DSCC-MMCC). The main advantage of the MMCC is the modularity and scalability. In addition, the MMCC does not require any clamping diodes or flying capacitors for clamping the voltage across the switches. In this thesis, the MMCC will be used to integrate high-power RESs to Grid. Nevertheless, the high-power applications necessitate low switching frequency operations. One of the most common controlling techniques of MLI with low frequency operation is the Selective Harmonic Elimination (SHE). SHE insures also the output current Total Harmonic Distortion (THD) to be minimized. One disadvantage of the SHE method is that the complexity of the algorithm along with the equations used is increased by the increase of the MMCC number of levels. Therefore, other alternatives of SHE techniques will be studied in this work to overcome this complexity. This thesis focuses typically on MMCC, particularly the SSBC-MMCC. In this work, a high-power grid-connected SSBC-MMCC is controlled with three different SHE techniques, complying with low switching frequency operation limitation in high-power applications. In addition to the Conventional SHE (C-SHE) technique, Quasi-SHE (Q-SHE) and Asymmetrical-SHE (A-SHE) approaches are proposed and assessed. Q-SHE and A-SHE approaches are based on eliminating selected low order harmonics (for instance, eliminating the fifth and seventh order harmonics), irrelevant to the number of employed levels provided that the number of levels allows for the required harmonic elimination. Compared with the C-SHE approach, the Q-SHE and A-SHE require less computational burden in solving the required equation groups, especially when a high number of levels and/or multiple switching angles for each voltage level are needed, while maintaining the same dv/dt of the output voltage. A 5MW, 17-level, grid-connected SSBC-MMCC, controlled in the synchronous rotating reference frame, is employed for assessing the addressed SHE techniques. The assessment is validated through simulation results using Matlab/Simulink platform

Development of alternative pulse width modulation methods for conventional and multilevel voltage source inverters

This thesis was submitted for the award of Doctor of Philosophy and was awarded by Brunel University LondonMultilevel inverters have attracted wide interest in both the academic community and the industry for the past decades. Therefore, the investigation and development of modulation strategies in multilevel inverters emerges as a necessity for the industry and researchers. In this doctoral thesis, alternative modulation methods suitable for three-level conventional single-phase inverters and especially for cascade H-bridge multilevel inverters are discussed and proposed. The theory of Equal Areas is reformed and presented and its modifications are proposed. These modifications are compared with other well-known modulation schemes, such as carrier-based modulation schemes and programmed pulse width modulation techniques. The advantage of the modified Equal Areas Pulse Width Modulation (EAPWM) is its algorithmic simplicity due to simple algebraic relationships, which results in less computational effort. A fully mathematical formulation for the Equal Areas modulation is proposed for both conventional and multilevel inverters. The EAPWM is shown to produce well-formed switched output voltages that have low total harmonic distortion at even low switching frequencies. The importance of this thesis is complimented by the results, produced after the implementation of EAPWM in multilevel inverters, which can be used as a more accurate reference when compared with other modulation strategies. Moreover, this direct modulation strategy has been extended to work on higher amplitude modulation ratios, in a linear manner, while entering the over modulation region. In this context, modified algorithms have been developed using different criteria for the calculation of the pulses’ width and their placement inside the time interval. The equal areas method, implemented in conventional single-phase inverters, uses odd pulse numbers per half cycle, holding integer frequency ratios in contrast to its implementation in multilevel inverters, where non-integer frequency ratios occur due to the level-by-level application. The application of the method is verified by simulations together with experimental work using a full-scale prototype inverter

Modelling of power electronics controllers for harmonic analysis in power systems

The research work presented in this thesis is concerned with the modelling of this new generation of power electronics controllers with a view to conduct comprehensive power systems harmonic analyses. An issue of paramount importance in this research is the representation of the self-commutated valves used by the controllers addressed in this work. Such a representation is based on switching functions that enable the realization of flexible and comprehensive harmonic models. Modularity is another key issue of great importance in this research, and the model of the voltage source converter is used as the basic building block with which to assemble harmonic models of actual power systems controllers. In this research the complex Fourier series in the form of operational matrices was used to derive the harmonic models. Also, a novel methodology is presented in this thesis for conducting transient analysis of electric networks containing non-linearities and power electronic components. The methodology is termed the extended harmonic domain. This method is based on the use of time-dependent Fourier series, operational matrices, state-space representation and averaging methods. With this method, state-space equations for linear circuit, non-linear circuits, and power electronics controllers models are obtained. The state variables are the harmonic coefficients of x(t) instead of x(t) itself. The solution of the state-space equations gives the dynamic response of the harmonic coefficients of x(t). Moreover, a new harmonic power flow methodology, based on the instantaneous power flow balance concept, the harmonic domain, and Newton-Raphson method, is developed and explained in the thesis. This method is based on the instantaneous power balance as opposed to the active and reactive power balance, followed by traditional harmonic power flow methods. The power system and the power electronics controllers are modelled entirely in the harmonic domain