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Transmission-Distribution coordinated energy management (TDCEM) is recognizedas a promising solution to the challenge of high DER penetration, but there isa lack of a distributed computation method that universally and effectivelyworks for the TDCEM. To bridge this gap, a generalized mas-ter-slave-splitting(G-MSS) method is presented in this paper. This method is based on ageneral-purpose transmis-sion-distribution coordination model called G-TDCM,which thus enables the G-MSS to be applicable to most of the central functionsof the TDCEM. In this G-MSS method, a basic heter-ogenous decomposition (HGD)algorithm is first derived from the HGD of the coupling constraints in theoptimality conditions of the G-TDCM. Its optimality and convergence propertiesare then proved. Further, inspired by the conditions for conver-gence, amodified HGD algorithm that utilizes the subsystem's response function isdeveloped and thus converges faster. The distributed G-MSS method is thendemonstrated to successfully solve a series of central functions, e.g. powerflow, contingency analysis, voltage stability assessment, economic dispatch andoptimal power flow, of the TDCEM. The severe issues of over-voltage anderroneous assessment of the system security that are caused by DERs are thusresolved by the G-MSS method with modest computation cost.

Generalized Master-Slave-Splitting Method and Application to Transmission-Distribution Coordinated Energy Management