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Recursive power flow calculation based on polar coordinates holomorphic embedding method
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DOI：10.1016/j.ijepes.2026.111729.png)
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Abstract
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• A novel Polar-HEM is proposed for power flow calculation for the first time. • The polar-coordinate formulation eliminates trigonometric terms via angle addition expansion, enabling an analytically tractable holomorphic embedding framework. • The proposed method derives a recursive power flow solution directly in voltage magnitude and phase angle variables, avoiding dependence on initial guesses. A unified recursive formulation is developed for both PQ and PV buses, reducing model dimensionality and simplifying derivation compared with classical rectangular HE methods. • Extensive simulations on IEEE benchmark systems verify the method’s accuracy, linear convergence, and robustness under heavy-load conditions, outperforming traditional Newton–Raphson and rectangular-coordinate HE methods.
Keywords:
Power flow calculation
Holomorphic embedding method
Polar coordinates
Recursive computation
Convergence improvement
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