NDLI: DistFlow ODE: Modeling, analyzing and controlling long distribution feeder

Content Provider	IEEE Xplore Digital Library
Author	Danhua Wang Turitsyn, K. Chertkov, M.
Copyright Year	2012
Description	Author affiliation: Theory Division & Center for Nonlinear Studies at LANL, NM 87545, USA (Chertkov, M.) \|\| Department of Mathematics of SMU, Dallas, TX 75275, USA (Danhua Wang) \|\| Department of Mechanical Engineering at MIT, 77 Massachusetts Ave., Cambridge 02139, USA (Turitsyn, K.)
Abstract	We consider a linear feeder connecting multiple distributed loads and generators to the sub-station. Voltage is controlled directly at the sub-station, however, voltage down the line shifts up or down, in particular depending on if the feeder operates in the power export regime or power import regime. Starting from this finite element description of the feeder, assuming that the consumption/generation is distributed heterogeneously along the feeder, and following the asymptotic homogenization approach, we derive simple low-parametric ODE model of the feeder. We also explain how the homogeneous ODE modeling is generalized to account for other distributed effects, e.g. for inverter based and voltage dependent control of reactive power. The resulting system of the DistFlow-ODEs, relating homogenized voltage to flows of real and reactive power along the lines, admits computationally efficient analysis in terms of the minimal number of the feeder line “media” parameters, such as the ratio of the inductance-to-resistance densities. Exploring the space of the media and control parameters allows us to test and juxtapose different measures of the system performance, in particular expressed in terms of the voltage drop along the feeder, power import/export from the feeder line as the whole, power losses within the feeder, and critical (with respect to possible voltage collapse) length of the feeder. Our most surprising funding relates to performance of a feeder rich on PhotoVoltaic (PV) systems during a sunny day. We observe that if the feeder is sufficiently long the DistFlow-ODEs may have multiple stable solutions. The multiplicity may mean troubles for successful recovery of the feeder after a very short, few periods long, fault at the head of the line.
Starting Page	5613
Ending Page	5618
File Size	456164
Page Count	6
File Format	PDF
ISBN	9781467320658
ISSN	07431546
e-ISBN	9781467320665
e-ISBN	9781467320641
DOI	10.1109/CDC.2012.6426054
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Voltage control Reactive power Mathematical model Equations Standards Inverters Voltage measurement
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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DistFlow ODE: Modeling, Analyzing and Controlling Long Distribution Feeder

DistFlow ODE: modeling, analyzing and controlling long distribution feeder

Distflow ode: Modeling, analyzing and controlling long distribution feeder

DistFlow ODE: Modeling, analyzing and controlling long distribution feeder

DistFlow ODE: Modeling, Analyzing and Controlling Long Distribution Feeder

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