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Global, European and Slovenian energy industries have been facing challenges of transitioning to a carbon-free future. The transition into a sustainable power system will play a key role in maintaining the global warming under the +1.5°C IPCC (Intergovernmental Panel on Climate Change) scenario in the next few years. The paper addresses a combination of the renewable energy and nuclear sources to fill the gap between the growing power consumption and production from the existing and planned conventional sources while abandoning the use of coal in Slovenia. The results, supported by an optimization of the Slovenian power system on an hourly level, show that using an optimal combination of the conventional and new power production technologies, Slovenia can reach the goal of a carbon-free power system by 2037, when a new nuclear unit is planned to be built. Flexible power sources and sinks combined with daily and seasonal electricity storages will be able to provide a balance to the intermittent renewable power generation. To evaluate the feasibility of the proposed development scenario of the Slovenian power system, three key criteria are used: (1) decarbonization of the Slovenian power system, (2) moderate import and export dependence of the Slovenian power system on the hourly level and (3) rate of the Slovenian power system self-sufficiency. [ABSTRACT FROM AUTHOR]