Journal
ELECTRIC POWER SYSTEMS RESEARCH
Volume 211, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.epsr.2022.108326
Keywords
Current injection power flow; Laurent series; Fixed-point iteration; Three-phase systems
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Funding
- Netherlands Enterprise Agency (RVO) - DEI+ project [120037]
- Sustainable Energy Authority of Ireland (SEAI) [RDD/00681]
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This paper proposes a new power flow formulation for electrical distribution systems and proves its superiority and effectiveness through numerical results comparisons.
This paper proposes a new power flow (PF) formulation for electrical distribution systems using the current injection method and applying the Laurent series expansion. Two solution algorithms are proposed: a Newton -like iterative procedure and a fixed-point iteration based on the successive approximation method (SAM). The convergence analysis of the SAM is proven via the Banach fixed-point theorem, ensuring numerical stability, the uniqueness of the solution, and independence on the initializing point. Numerical results are obtained for both proposed algorithms and compared to well-known PF formulations considering their rate of convergence, computational time, and numerical stability. Tests are performed for different branch R/X ratios, loading conditions, and initialization points in balanced and unbalanced networks with radial and weakly-meshed topologies. Results show that the SAM is computationally more efficient than the compared PFs, being more than ten times faster than the backward-forward sweep algorithm.
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