Besides metering, a more transparent load with known power distribution is valuable to draft energy strategies, especially in a deregulated power market. So the usage-of-transmission can be properly considered. There are many papers published on the related subject [1]-[42], and every research tried to solve a particular part of the problem. There are three basic categories for discussing power distributions: (i) the real power distribution, (ii) the reactive power distribution, and (iii) the loss allocation. These categories were very often treated separately, while with mutual coupling terms, counter flows, and line charging largely neglected. But we know that these entities are non-separable. These are closely inter-related entities; the change of one entity is closely related to the change of every other entity. A good method should consider these entities altogether, while satisfying all electrical theories. In this paper, a method is developed to solve the above problem, where all electrical entities can be solved, and all electrical circuit theories are satisfied. With several matrix formulations, this method is capable of solving and tracing all electrical entities including the current flow, the real and reactive power, the counter flow, and the couplings between the active and reactive power. The algorithm can also allocate power distributions and loss among participants effectively. Besides, a line usage concept is proposed to allocate the loss to each generator where counter flows can be awarded. It can be integrated to the existent tariffs in a deregulated market.