Although the proportional current sharing has been widely studied

the heterogeneous characteristic of the different interfaced converters and power coupling terms among distributed generators (DGs) are rarely considered. Therefore

this paper proposes a secondary <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$ consensus method with a periodic dynamic event-driven scheme for dc microgrids with power coupling to accomplish the precise proportional current-sharing. It is useful for reducing carbon. First

a generalized converter is constructed through equivalent transformation between rectifier and boost converter. Moreover

the heterogeneous characteristic of the interfaced converters regarding different DGs

such as wind and solar generators

is embedded into controller design. Furthermore

the standard linear heterogeneous multi-agent system with power coupling term is built. On this basis

the problem of proportional current sharing is modified into the output consistency problem of multi-agent systems. Furthermore

the <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">$H_{\infty}$ consensus approach is proposed to accomplish the precise proportional current sharing. Meanwhile

to shorten communication bandwidth

the periodic dynamic event-driven communication strategy is designed. Compared with traditional event-driven communication schemes

a lower communication frequency has been obtained through the proposed communication scheme. In addition

this communication scheme not only avoids Zeno-behavior

but also acquires the smallest sampling time interval. Finally

effectiveness of the proposed approach is verified by two test systems.