The design and management of social and economic systems, which are not coordinated with the possibilities of the natural environment, its reproductive capacity and the laws of nature, have created such trends, the effects of which neither the planet nor its inhabitants can withstand for a long time. Without management and outside of management, it is fundamentally impossible to move into a new quality and ensure sustainable development in the long term, covering the system of cycles - crises of modern world civilization. The purpose of this article is to describe a multi-level model for designing (planning) and managing the sustainable development of socioeconomic objects in the invariant coordinates' system using power (energy) units of measures. The novelty of the approach lies in the fact that, based on the analysis of socioeconomic, technical and environmental factors that determine the sustainable development, natural science meters are determined, reduced to universal power unit of measurement in systems that are open at the input and output in terms of energy. Within the framework of the proposed design model, the data of the Central Statistical Office of the EU, the World Bank and the United Nations Organization database were used for calculations. The main results presented in the article were calculated and primary interpreted for Latvia. Latvia's situation in the period 2008-2019 can be characterized as unsustainable development, and if it continues, it would mean long-term stagnation and further degradation.