1. 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

2. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

3. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

4. Power transmission systems
Networks connecting generators and load centers
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Geoinfo 2005

5. Power transmission systems
(110 or 220 V)
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Geoinfo 2005

6. Power transmission systems
Complex geographically dispersed network
November 23
Geoinfo 2005

7. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

8. One-phase network = One-line diagram
One-line diagrams
Power Network
Three-phase network
One-phase network = One-line diagram
November 23
Geoinfo 2005

9. 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
November 23
Geoinfo 2005

10. One-line diagrams: two models
widely used for studies and analyses
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Geoinfo 2005

11. One-line diagrams: graph
Bus/Branch model = Graph
Nodes: buses
Arcs: branches
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Geoinfo 2005

12. Power transmission systems
Complex geographically dispersed network
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Geoinfo 2005

13. Connectivity information -> readable one-line diagram?
November 23
Geoinfo 2005

14. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

15. 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
Mota’s algorithm (Mota and Morelato, 2004)
Problem: the initial node placement configuration is up to users.
November 23
Geoinfo 2005

16. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

17. 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.
November 23
Geoinfo 2005

18. Mota’s algorithm [Mota et al., 2004]
Given: the comfortable length KL, and the connectivity between the buses and branches
N1 – N2; N2 – N3;
N3 – N1
Mota’s algorithm can derive from these connectivity data the geometrical coordinates, from which one may draw a one-line diagram.
Output: coordinates
{xc, yc} of each bus
November 23
Geoinfo 2005

19. Positively charged particles
Mota’s 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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Geoinfo 2005

20. Mota’s algorithm: Example
30 Buses
40 Branches
Power systems test case archive:
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Geoinfo 2005

21. Mota’s algorithm: Problem
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Geoinfo 2005

22. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

23. Proposal One-line diagram Graph [Mota et al., 2004] Geospatial Graph
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Geoinfo 2005

24. Proposal
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25. 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.
November 23
Geoinfo 2005

26. Proposal + 1 2 3 4 Node 1: Northwest Node 2: Southwest
Node 3: Southeast
Node 4: Southeast +
Nodes: 1,2,3 and 4
Branches: 1-2,
1-3 and 1-4
Step 1
Step 2
November 23
Geoinfo 2005

27. Proposal 2 3 4 1 1 2 3 4
Step 4
Step 3
November 23
Geoinfo 2005

28. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

29. Results: IEEE 30 Test Case
30 Buses
40 Branches
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30. Results: Hypothetical geospatial data
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31. Results
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32. Results: Brazilian subsystem
58 buses
64 branches
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33. Results: Mota’s algorithm
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34. Results: Available geospatial data
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35. Results: First configuration
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36. Results: Improved algorithm
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Geoinfo 2005

37. Topics Power transmission and distribution systems One-line diagrams
State-of-the-art
Objective
Proposal
Results
Concluding remarks
November 23
Geoinfo 2005

38. Concluding remarks
Using geospatial data for estimating the first configuration of the buses may reduce the branch crossings in Mota’s 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.
November 23
Geoinfo 2005

39. Thank You!
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Geoinfo 2005

40. Mota’s algorithm Electrical forces (Coulomb’s Law): FCkm=f(dkm2)
dkm < KL
FH < 0 (repulsion)
dkm > KL
FH > 0 (attraction)
Mass-spring forces (Hooke’s Law):
FHkm=g(dkm-KL) KL
(Branch natural length)
November 23
Geoinfo 2005