Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System

Wu, Dan; Wang, Bin

doi:10.1109/allerton.2019.8919649

Cited by 2 publications

(6 citation statements)

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, the singular surface 5 of algebraic constraints can also contribute to the dynamic instability phenomenon [41]- [43]. A comprehensive numerical study of singularity induced dynamic voltage instability can be found in [39], which is also confirmed in [40].…”

Section: A Dynamic Voltage Instabilitymentioning

confidence: 65%

“…By choosing the center-of-inertial (COI) reference frame, [40] showed that the dynamic stability boundary of this example coincides with the singular surface, suggesting that any transient instability is caused by the singularity.…”

Section: A 9-bus Dynamic Voltage Instability Example -Distance In Act...mentioning

confidence: 90%

“…[38] observed that some unstable equilibrium points (UEP) are responsible for voltage instability. [39], [40] showed that singular surface of algebraic constraints can also contribute to the dynamic voltage instability.…”

Section: Mechanisms Of Voltage Collapsementioning

confidence: 99%

“…According to the analysis in [6], [36]- [40], dynamic voltage instability can happen if 1) Eqt ( 3) is singular at the equilibrium point (central manifold occurs); 2) a trajectory is beyond the stable manifolds of some type-1 UEP; 3) a trajectory crosses the algebraic singular part of the stability boundary.…”

Section: A Dynamic Voltage Instabilitymentioning

confidence: 99%

“…Consider the modified 9-bus example, "case9mod1", in [40]. A one-line diagram is depicted in Figure 3.…”

Section: A 9-bus Dynamic Voltage Instability Example -Distance In Act...mentioning

confidence: 99%

See 4 more Smart Citations

Searching for the Shortest Path to the Point of Voltage Collapse on the Algebraic Manifold

Wu¹,

Wolter²,

Wang³

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

Voltage instability is one of the main causes of power system blackouts. Emerging technologies such as renewable energy integration, distributed energy resources and demand responses may introduce significant uncertainties in analyzing of system-wide voltage stability. This paper starts with summarizing different known voltage instability mechanisms, and then focuses on a class of voltage instability which is induced by the singular surface of the algebraic manifold. We argue and demonstrate that this class can include both dynamic and static voltage instabilities. To determine the minimum distance to the point of voltage collapse, a new formulation is proposed on the algebraic manifold. This formulation is further converted into an optimal control framework for identifying the path with minimum distance on the manifold. Comprehensive numerical studies are conducted on some manifolds of different power system test cases and demonstrate that the proposed method yields candidates for the local shortest paths to the singular surface on the manifold for both the dynamic model and the static model. Simulations show that the proposed method can identify shorter paths on the manifold than the paths associated with the minimum Euclidean distances. Furthermore, the proposed method always locates the right path ending at the correct singular surface which is responsible for the voltage instability; while the Euclidean distance formulation can mistakenly find solutions on the wrong singular surface. A broad range of potential applications using the proposed method are also discussed.

show abstract

Section: A Dynamic Voltage Instabilitymentioning

confidence: 65%

Section: A 9-bus Dynamic Voltage Instability Example -Distance In Act...mentioning

confidence: 90%

Section: Mechanisms Of Voltage Collapsementioning

confidence: 99%

Section: A Dynamic Voltage Instabilitymentioning

confidence: 99%

“…Consider the modified 9-bus example, "case9mod1", in [40]. A one-line diagram is depicted in Figure 3.…”

Section: A 9-bus Dynamic Voltage Instability Example -Distance In Act...mentioning

confidence: 99%

See 3 more Smart Citations

Searching for the Shortest Path to the Point of Voltage Collapse on the Algebraic Manifold

Wu¹,

Wolter²,

Wang³

et al. 2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks

Nadeem

Nugroho

Taha

2023

IEEE Trans. Power Syst.

View full text Add to dashboard Cite

This paper investigates the joint problems of dynamic state estimation of algebraic variables (voltage and phase angle) and generator states (rotor angle and frequency) of nonlinear differential algebraic equation (NDAE) power network models, under uncertainty. Traditionally, these two problems have been decoupled due to complexity of handling NDAE models. In particular, this paper offers the first attempt to solve the aforementioned problem in a coupled approach where the algebraic and generator states estimates are simultaneously computed. The proposed estimation algorithm herein is endowed with the following properties: (i) it is fairly simple to implement and based on well-understood Lyapunov theory; (ii) considers various sources of uncertainty from generator control inputs, loads, renewables, process and measurement noise; (iii) models phasor measurement unit installations at arbitrary buses; and (iv) is computationally less intensive than the decoupled approach in the literature.

show abstract

Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System

Cited by 2 publications

References 22 publications

Searching for the Shortest Path to the Point of Voltage Collapse on the Algebraic Manifold

Searching for the Shortest Path to the Point of Voltage Collapse on the Algebraic Manifold

Dynamic State Estimation of Nonlinear Differential Algebraic Equation Models of Power Networks

Contact Info

Product

Resources

About