Fuzzy Arithmetic for the DC Load Flow
Abstract
The consideration of uncertainties in the future
system operation is a key aspect in current planning methodologies.
In this context, load flow studies based on probabilistic theory,
fuzzy numbers, and Monte Carlo simulations have been proposed
in the literature. This work analyzes in a novel way the application
of fuzzy number arithmetic for the DC load flow problem. In this
sense, fuzzy sets theory is reviewed and is showed that there are
two alternative and valid procedures to perform a subtraction.
A key aspect for the right selection of one of these procedures is
the independency or dependency among the involved variables.
Assuming input data as independent variables, this work is focused
on analyzing the fuzzy subtraction between dependent state
variables of the system, such as voltage phase angle. Accordingly,
two new valid alternative methodologies are proposed and applied
to case studies. Results are compared to previous related works
showing the consistency of the proposed methodologies. Future
research will be focused on the consideration of ohmic losses and
AC network modeling in the field of expansion planning studies.
Identifier
URI: https://repositorio.uchile.cl/handle/2250/125409
DOI: DOI 10.1109/TPWRS.2009.2030350
Quote Item
IEEE TRANSACTIONS ON POWER SYSTEMS, VOL. 25, NO. 1, FEBRUARY 2010
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