Load-Flow in Multiphase Distribution Networks: Existence, Uniqueness, and Linear Models
Load-Flow in Multiphase Distribution Networks: Existence, Uniqueness, and Linear Models
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多相配电网中的潮流:存在性、唯一性和线性模型
DOI:
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发表时间:
2017
期刊:
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通讯作者:
Changhong Zhao
中科院分区:
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作者:
A. Bernstein;Cong Wang;E. Dall’Anese;J. L. Boudec;Changhong Zhao
This paper considers generic unbalanced and multiphase distribution systems and develops a load-flow algorithm based on a fixed-point interpretation of the AC power-flow equations. Explicit conditions for existence and uniqueness of load-flow solutions are presented. These conditions also guarantee convergence of the load-flow algorithm to the unique power-flow solution. The proposed methodology broadens the well-established Z-bus iterative method, and it is applicable to generic systems featuring (i) wye connections; (ii) ungrounded delta connections; (iii) a combination of wye-connected and delta-connected sources/loads; and, (iv) a combination of line-to-line and line-to-grounded-neutral devices at the secondary of distribution transformers. Linear load-flow models are then derived, and their approximation accuracy is analyzed. Theoretical results are corroborated through experiments on IEEE test feeders.