Universität zu Köln

Ronellenfitsch, Henrik, Timme, Marc ORCID: 0000-0002-5956-3137 and Witthaut, Dirk ORCID: 0000-0002-3623-5341 (2017). A Dual Method for Computing Power Transfer Distribution Factors. IEEE Trans. Power Syst., 32 (2). S. 1007 - 1016. PISCATAWAY: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC. ISSN 1558-0679

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Abstract

Power Transfer Distribution Factors (PTDFs) play a crucial role in power grid security analysis, planning, and redispatch. Fast calculation of the PTDFs is therefore of great importance. In this paper, we present a non-approximative dual method of computing PTDFs. It uses power flows along topological cycles of the network but still relies on simple matrix algebra. At the core, our method changes the size of the matrix that needs to be inverted to calculate the PTDFs from N x N, where N is the number of buses, to (L - N + 1) x (L - N + 1), where L is the number of lines and L - N + 1 is the number of independent cycles (closed loops) in the network while remaining mathematically fully equivalent. For power grids containing a relatively small number of cycles, the method can offer a speedup of numerical calculations.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Ronellenfitsch, Henrik UNSPECIFIED UNSPECIFIED UNSPECIFIED Timme, Marc UNSPECIFIED orcid.org/0000-0002-5956-3137 UNSPECIFIED Witthaut, Dirk UNSPECIFIED orcid.org/0000-0002-3623-5341 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-239021
DOI:	10.1109/TPWRS.2016.2589464
Journal or Publication Title:	IEEE Trans. Power Syst.
Volume:	32
Number:	2
Page Range:	S. 1007 - 1016
Date:	2017
Publisher:	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Place of Publication:	PISCATAWAY
ISSN:	1558-0679
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LINE; CONGESTION; SYSTEM; FLOW Multiple languages Engineering, Electrical & Electronic Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/23902