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The imperfection of theoretical and methodological approaches to regulate the jump process transition when combining differentiated energy resources is a pressing issue. The goal of this paper is to develop a theory and a method to regulate the integration-balancing processes of combining diversified resources. The concept of combining integration and balancing models has been substantiated by methods of transforming multidimensional space and approximating generalized functions that represent jump-like processes. Theoretical and operational-regulatory models of economic sustainability have been developed, substantiating new concepts, patterns, properties, dependencies and indicators of the dynamics of the processes of combination; the optimality conditions for the number of approximations of generalized functions, interpreting the effects of control functions of combining resources, are thus determined. New methods for solving problems have been developed: the organization of the energy technology complex of facilities for enhanced resource diversification and the Sustainable Development Center, improving the quality of managing dynamic processes in terms of combining and diversifying resources. Emphasis is placed on four elements: theoretical and methodological approaches to regulate the jump process transition when combining differentiated energy resources is a pressing issue; the goal of this paper is to develop a theory and a method to regulate the integration-balancing processes of combining diversified resources; the concept of combining integration and balancing models has been substantiated by methods of transforming multidimensional space and approximating generalized functions that represent jump-like processes.

Modeling Regulation of Economic Sustainability in Energy Systems with Diversified Resources