With the growing integration of distributed generation (DG) and the transition toward decentralized power systems, conventional load flow techniques face increasing difficulty in accurately representing modern distribution networks (DNs). These challenges become even more pronounced when operating under predefined power exchange constraints. To address this limitation, this paper presents a novel zero-bus load flow method for radial distribution networks (RDNs) using a KCL-KVL-based approach integrated with matrix algebra. The proposed method effectively models and manages predefined power exchanges between the grid and the RDN. It utilizes simple KCL and KVL equations, which makes it well-suited for RDNs with high R/X ratios. It eliminates the need for matrix inversion or admittance matrix formation, thereby addressing the drawbacks of the existing Newton–Raphson (N-R) load flow method and Voltage-Sensitivity (V-S) load flow method with zero bus. A distinctive aspect of the proposed approach lies in converting the topology matrix into a conversion matrix through a logical OR operation. The current injection at the zero bus is calculated to ensure that the predefined power exchange with the main grid is maintained. The proposed method is tested on 33, 69, and 118-bus DNs with different load types to analyze their performance. For a 33-bus system, the proposed method achieves 64.8% and 87.7% faster convergence than the N-R and V-S methods, respectively. For a 69-bus system, the improvement of the proposed method is 83% and 92.4% compared to N-R and V-S methods, respectively. While in a 118-bus system, the enhancement of the proposed method reaches 89.9% and 97.2% compared to N-R and V-S methods, respectively. These results reveal that the proposed method is both robust and time-efficient when compared to existing zero-bus load flow methodologies in the literature. This demonstrates its effectiveness and potential to significantly improve load flow analysis in distribution networks.
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