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On the Network Topology Dependent Solution Count of the Algebraic Load Flow Equations
- Source :
- IEEE Transactions on Power Systems. 33:1451-1460
- Publication Year :
- 2018
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2018.
-
Abstract
- A large amount of research activity in power systems areas has focused on developing computational methods to solve load flow equations where a key question is the maximum number of isolated solutions.Though several concrete upper bounds exist, recent studies have hinted that much sharper upper bounds that depend the topology of underlying power networks may exist. This paper establishes such a topology dependent solution bound which is actually the best possible bound in the sense that it is always attainable. We also develop a geometric construction called adjacency polytope which accurately captures the topology of the underlying power network and is immensely useful in the computation of the solution bound. Finally we highlight the significant implications of the development of such solution bound in solving load flow equations.<br />8 figures, 18 pages
- Subjects :
- Computer science
010102 general mathematics
Energy Engineering and Power Technology
Polytope
Topology (electrical circuits)
Systems and Control (eess.SY)
02 engineering and technology
Topology
Network topology
01 natural sciences
Upper and lower bounds
Electric power system
Development (topology)
Flow (mathematics)
Optimization and Control (math.OC)
FOS: Mathematics
FOS: Electrical engineering, electronic engineering, information engineering
0202 electrical engineering, electronic engineering, information engineering
Computer Science - Systems and Control
Adjacency list
020201 artificial intelligence & image processing
0101 mathematics
Electrical and Electronic Engineering
Mathematics - Optimization and Control
Subjects
Details
- ISSN :
- 15580679 and 08858950
- Volume :
- 33
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Power Systems
- Accession number :
- edsair.doi.dedup.....4241cd70c31a74a6b326bf0c26677d1e