The presentation was made at IEEE PES 2011 General Meeting Super Sessions in July, 2011. The presentation describes the overview, problem formulations, example and applications, remarks, and discussion. Analytically driven applications broaden the scope and scenarios under study. Practical considerations should be leveraged to reduce problem size and complexity (as well as facilitate acceptance of results). Each distribution circuit has its own properties / characteristics - with measurements, this can be quantified; hence, modeled. As a result, systematic, repeatable approaches to distribution circuit planning and operation can be realized and used as a guide for engineers.