Multilevel voltage source inverters where first introduced in the early 1980s. Since then, they have been continuously developed, offering a wide new research area in power electronics. The popularity of multilevel solutions come from the advantages that they offer: improved output quality, voltage sharing in high voltage applications, increased power density or reduction of filtering costs. Two completely new and innovative cross-connected topological families for advanced multilevel voltage source inverters are introduced in this thesis. The motivation for this work stems out from the need to generate multiple output levels while keeping the reliability as high as possible. The offered solutions are able to address the problematic, but of course they do not come without a price: A higher control complexity and more semiconductor blocking voltage capability are necessary in the design of such advanced converters. The Cross Connected Intermediate Level (CCIL) Voltage Source Inverter is the first of the two new topologies presented here. It is built as a cascade of stages using capacitors which are connected to each other by means of cross connected cell structures. The CCIL can be used in several configurations, like redundant or non-redundant switching state configurations for instance. A graphical model based on the physical properties of the inverter is proposed and an original fuzzy logic controller is designed for the balancing of the capacitor voltages and modulation of the inverter. The control algorithm is implemented and verified in simulations. The results are used to benchmark the topology against standard solutions and the conclusions are used to define what applications could benefit from such a converter structure. The Common Cross Connected Stage (CCCS) Voltage Source Inverter is the second original contribution of this work in terms of topology. It is built using the cross connected stage and its capacitor in a common configuration for the three phases of the inverter. Such a design allows to use only one stage per three phases. Because of the intrinsic three phased properties of this topology, a model based on space phasor representation is introduced. With the help of this model, a novel space phasor modulation strategy is derived and proposed. It allows to generate the three phased output voltages while using the available redundancies for balancing of the capacitor voltages. The resulting algorithm is first implemented and tested in simulation, and in a second step a test setup is built and the modulator is coded in VHDL. The simulation and experimental results obtained validate the topology and control concepts. A benchmarking of the CCCS solution is also done to understand what are the benefits and drawbacks of this solution. Analysis and comparison of the new topologies allow to evaluate in an objective way the contributions brought by this work. It is found that the newly proposed solutions cover an area of multilevel inverters where not so many solutions were available prior to this work: Generation of multiple output levels with reduced number of passive and active components (thus increasing the reliability). The drawback is a higher blocking voltage requirement. Conclusions and case study are proposed to help assess the expected performances and choose the most suitable solutions for given applications.