Using Geospatial Data to Generate One-line Diagrams of Electrical Power Systems

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Using Geospatial Data to Generate One-line
Diagrams of Electrical Power Systems

• Lia Toledo Moreira Mota, Alexandre de Assis Mota,
  Wu, Shin-Ting
• School of Electrical and Computer Engineering
• State University of Campinas

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Topics

• Power transmission and distribution systems

• One-line diagrams

• State-of-the-art

• Objective

• Proposal

• Results

• Concluding remarks

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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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Power transmission systems

• Networks connecting generators and load centers

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Power transmission systems
(110 or 220 V)
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Power transmission systems
Complex geographically dispersed network
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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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One-line diagrams

• Power Network

Three-phase network
One-phase network One-line diagram
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One-line diagrams two models

• Monticelli, 1999
• Bus section/switching device model
• switching devices-oriented representation for
  supporting decision-makings in fault conditions
  or maintenance situations
• Bus/branch model
• a simplified representation of the bus
  section/switching device model

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One-line diagrams two models
widely used for studies and analyses
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One-line diagrams graph

• Bus/Branch model Graph
• Nodes buses
• Arcs branches

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Power transmission systems
Complex geographically dispersed network
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Connectivity information -gt readable one-line
diagram?
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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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State-of-the-art

• CAD systems
• Problem the layout is up to users
• One-line dedicated drawing algorithms (Ong et
  al., 2000 add-on package ArcGIS, 2005?)
• Problem unsuitable for cyclic graphs
• Motas algorithm (Mota and Morelato, 2004)
• Problem the initial node placement configuration
  is up to users.

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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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Objective

• General context to provide an algorithm for
  generating readable one-line diagrams from
  connectivity information

• Specifically to improve the algorithm proposed
  by Mota et al.

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Motas algorithm

• Mota et al., 2004
• Given the comfortable length KL, and the
  connectivity between the buses and branches
• N1 N2 N2 N3
• N3 N1

• Output coordinates
• xc, yc of each bus

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Motas algorithm
Principle to use physically-based approach for
placing the buses in an iterative way.

• Buses

Braches
Positively charged particles
Springs
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Motas algorithm Example

• 30 Buses
• 40 Branches

Power systems test case archive
www.ee.washington.edu/research/pstca/
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Motas algorithm Problem
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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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Proposal

• One-line diagram

Graph Mota et al., 2004
Geospatial Graph
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Proposal
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Proposal

• Step 1 Obtain the topology (connections
  relations) of the power systems elements (buses
  and branches).
• Step 2 Add to this topological information,
  geospatial data related with the network elements
  
• Step 3 Generate an estimate of the positions of
  the buses on the basis of the geospatial data.
• Step 4 Apply the physically-based algorithm
  proposed by Mota et al. to generate a
  crossing-free one-line diagram.

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Proposal
Step 1
Step 2
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Proposal
Step 4
Step 3
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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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Results IEEE 30 Test Case

• 30 Buses
• 40 Branches

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Results Hypothetical geospatial data
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Results
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Results Brazilian subsystem

• 58 buses
• 64 branches

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Results Motas algorithm
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Results Available geospatial data
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Results First configuration
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Results Improved algorithm
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Topics

• Power transmission and distribution systems
• One-line diagrams
• State-of-the-art
• Objective
• Proposal
• Results
• Concluding remarks

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Concluding remarks

• Using geospatial data for estimating the first
  configuration of the buses may reduce the branch
  crossings in Motas algorithm.
• The most important feature of the enhanced
  algorithm is that incomplete geospatial data
  suffice in most cases. It is useful for
  generating one-line diagrams of equivalent
  circuits, both for studies and analyses.
• As further work,
• to apply the algorithm for visualizing the
  electrical network for distinct purposes
  (planning, monitoring, etc.).
• to combine the algorithm with the map
  simplification algorithm proposed by Adler and Wu
  to visualize geo-spatial one-line diagram.

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• Thank You!

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Motas algorithm

• Electrical forces (Coulombs Law)
• FCkmf(dkm2)

• Mass-spring forces (Hookes Law)
• FHkmg(dkm-KL)

(Branch natural length)