Details
| Original language | English |
|---|---|
| Article number | 107127 |
| Number of pages | 11 |
| Journal | International Journal of Electrical Power and Energy Systems |
| Volume | 131 |
| Early online date | 2 May 2021 |
| Publication status | Published - Oct 2021 |
Abstract
Voltage instability is one of the main causes of power system blackouts. This paper focuses on finding the shortest path to the boundary of the singularity-induced voltage instability problem. Instead of using the Euclidean distance, we propose to use the arc length of the path on the network constraint manifold. This formulation is further converted into an optimal control framework to solve for the shortest path on the manifold. We rigorously show that the global solution of the proposed problem formulation always ends on the correct singular boundary. However, the traditional Euclidean distance formulation does not achieve this crucial topological property, thus, can lead to a wrong voltage collapse direction and/or a very conservative estimation of the stability margin. Numerical simulations are firstly performed on a low-dimensional example to fully visualize the algebraic manifold, the singular submanifold, and the optima for both problem formulations. Then, a larger 39-bus example is investigated in three different cases for both formulations. The results validate our theoretical statements that our proposed formulation always identifies the shortest path towards the correct voltage instability boundary. A broad range of potential applications using the proposed method are further discussed.
Keywords
- Algebraic manifold, Euclidean distance, Manifold distance, Singular submanifold, Voltage instability
ASJC Scopus subject areas
- Energy(all)
- Energy Engineering and Power Technology
- Engineering(all)
- Electrical and Electronic Engineering
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In: International Journal of Electrical Power and Energy Systems, Vol. 131, 107127, 10.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Searching for the shortest path to voltage instability boundary
T2 - From Euclidean space to algebraic manifold
AU - Wu, Dan
AU - Wolter, Franz Erich
AU - Wang, Bin
AU - Xie, Le
N1 - Publisher Copyright: © 2021 Elsevier Ltd
PY - 2021/10
Y1 - 2021/10
N2 - Voltage instability is one of the main causes of power system blackouts. This paper focuses on finding the shortest path to the boundary of the singularity-induced voltage instability problem. Instead of using the Euclidean distance, we propose to use the arc length of the path on the network constraint manifold. This formulation is further converted into an optimal control framework to solve for the shortest path on the manifold. We rigorously show that the global solution of the proposed problem formulation always ends on the correct singular boundary. However, the traditional Euclidean distance formulation does not achieve this crucial topological property, thus, can lead to a wrong voltage collapse direction and/or a very conservative estimation of the stability margin. Numerical simulations are firstly performed on a low-dimensional example to fully visualize the algebraic manifold, the singular submanifold, and the optima for both problem formulations. Then, a larger 39-bus example is investigated in three different cases for both formulations. The results validate our theoretical statements that our proposed formulation always identifies the shortest path towards the correct voltage instability boundary. A broad range of potential applications using the proposed method are further discussed.
AB - Voltage instability is one of the main causes of power system blackouts. This paper focuses on finding the shortest path to the boundary of the singularity-induced voltage instability problem. Instead of using the Euclidean distance, we propose to use the arc length of the path on the network constraint manifold. This formulation is further converted into an optimal control framework to solve for the shortest path on the manifold. We rigorously show that the global solution of the proposed problem formulation always ends on the correct singular boundary. However, the traditional Euclidean distance formulation does not achieve this crucial topological property, thus, can lead to a wrong voltage collapse direction and/or a very conservative estimation of the stability margin. Numerical simulations are firstly performed on a low-dimensional example to fully visualize the algebraic manifold, the singular submanifold, and the optima for both problem formulations. Then, a larger 39-bus example is investigated in three different cases for both formulations. The results validate our theoretical statements that our proposed formulation always identifies the shortest path towards the correct voltage instability boundary. A broad range of potential applications using the proposed method are further discussed.
KW - Algebraic manifold
KW - Euclidean distance
KW - Manifold distance
KW - Singular submanifold
KW - Voltage instability
UR - http://www.scopus.com/inward/record.url?scp=85104971461&partnerID=8YFLogxK
U2 - 10.1016/j.ijepes.2021.107127
DO - 10.1016/j.ijepes.2021.107127
M3 - Article
AN - SCOPUS:85104971461
VL - 131
JO - International Journal of Electrical Power and Energy Systems
JF - International Journal of Electrical Power and Energy Systems
SN - 0142-0615
M1 - 107127
ER -