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The modeling of multi-energy systems (MES) is the basic task of analyzingenergy systems integration. The variable energy efficiencies of the energyconversion and storage components in MES introduce nonlinearity to the modeland thus complicate the analysis and optimization of MES. In this paper, wepropose a standardized matrix modeling approach to automatically model MES withvariable energy efficiencies based on the energy hub (EH) modeling framework.We use piecewise linearization to approximate the variable energy efficiencies;as a result, a component with variable efficiency is equivalent to severalparallel components with constant efficiencies. The nonlinear energy conversionand storage relationship in EH can thus be further modeled under a linearmodeling framework using matrices. Such matrix modeling approach makes themodeling of an arbitrary EH with nonlinear energy components highly automatedby computers. The proposed modeling approach can further facilitate theoperation and planning optimization of EH with variable efficiencies. Casestudies are presented to show how the nonlinear approximation accuracy andcalculation efficiency can be balanced using the proposed model in the optimaloperation of EH.

Matrix Modeling of Energy Hub with Variable Energy Efficiencies