A method and system is proposed for the physical trading of electricity, which is characterized by continuous Dynamic Advanced Prices formation and propagation over a single price period that is a few seconds long. The Node and Branch price equations are applied to the power flows and to the corresponding costs incurred at measure points, as well as to the system-wide costs allocated equitably by means of a Price Designator, Price Announcers, Price Transmuters and Intelligent Meters and by other devices, all of which function together in a sequential and repetitive process of preliminary bidding, clearing, adjustment and dispatching, followed by price designation, confirmation and conversion in a way that takes into account congestion and security costs and the compensation of involuntary deviations. The method provides a common electricity trade environment that allows every market participant, especially every consumer, to respond adequately to last minute price changes.