A novel and fast single-phase three-wire power flow solution for a modern home premises wiring systems

Single-phase 2-wire (1φ2w) and single-phase 3-wire (1φ3w) circuit layouts are commonly adopted in premises wiring systems. Compared with 1φ2w circuits, the arrangements of 1φ3w circuits have some advantages such as reduced voltage drop, reduced line loss, and fewer conductors. Currently, more detailed power flow solutions of premises wiring systems are required because they can be used in more applications, such as power loss analysis, conservation voltage regulation (CVR), load balancing, and network reconfiguration especially in the design and operation of modern home energy management systems (HEMSs). This paper presents a novel approach to solve the power flow problem of a 1φ3w premises wiring system. The proposed approach is based on the loop frame of reference rather than the conventional approach, which is normally based on the bus frame of reference. Because the proposed approach is mainly based on graph theory, feeders and branch circuits of a premises wiring system are represented in a more detailed fashion than in previous corresponding mathematical models. In addition, the proposed approach provides an efficient and simple way to help engineers build a performance equation and full-scale system model of a premises wiring system. The simulation results of the proposed approach are verified through the OpenDSS software package and field testing. The proposed approach and implementation technique are of value to engineers and technicians in the design and operation of premises wiring system for dwelling units or smart buildings and may be implemented in HEMSs.