A generalization of the mathematical description of the charging of energy storage devices in autonomous electrical systems

Controlled charging in an autonomous DC system with limited resources is analysed for static and dynamic energy storage devices. Using the variational calculus relations between the main variables are obtained (subject to the duration of the charging for the least level of consumed power or for the minimum total energy losses). Generalized functional relations which should be taken into account when designing controllable converters with power supplies and when using energy storage units of various types are given in dimensionless form.