Analysis of robust transient stability of power systems using sum of squares programming

Izumi, Shinsaku; Somekawa, Hiroki; Xin, Xin; Yamasaki, Taiga

doi:10.1016/j.ijepes.2019.105401

Cited by 8 publications

(6 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The equilibrium point of the state variables is transferred to the origin through transformation x → x + x s . Then the polynomial expression of the dynamic model is obtained by Taylor series expansion through (17) and it is given by…”

Section: Case 1: Two-machine-infinite-bus Systemmentioning

confidence: 99%

“…When the iterative process progresses slowly, two algorithms are switched back and forth to improve the solution efficiency. In addition, the shape function in the LF level set approaches is a critical factor, which will affect the final estimation of ROA [17]. The literature [18] compares the estimation of ROA obtained by the V-s iteration method under different shape functions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

Xie

Zhang

Zhou

et al. 2023

IET Generation Trans & Dist

View full text Add to dashboard Cite

With large-scale wind farms connected to AC/DC network, the transient stability assessment (TSA) of the power system becomes more and more difficult. Among them, estimating the region of attraction (ROA) of the equilibrium point is a traditional but still challenging problem. Based on the Lyapunov stability theory, this paper proposes a new approach to obtain the enlarged estimation of the ROA. The optimization and updating strategy of shape function in the sum of squares (SOS) optimization problem are studied to reduce the conservatism of estimation result. In the proposed method, the gravitational search algorithm (GSA) is employed to optimize the coefficients of initial shape function to improve estimation performance. Based on the time-domain simulation (TDS) of expected faults, the fitness value for shape function optimization is calculated using the values of state variables at the fault clearing time and the system stability information. Furthermore, the optimal Lyapunov function is computed by introducing the update condition of shape function and adjusting the iteration strategy of the ROA estimation algorithm. Finally, the proposed method is applied to a two-machine-infinite-bus system and a more complex nine-bus AC/DC system with wind power. And the effectiveness of the proposed method is verified by comparing with the existing ROA estimation methods.

show abstract

Section: Case 1: Two-machine-infinite-bus Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

Xie

Zhang

Zhou

et al. 2023

IET Generation Trans & Dist

View full text Add to dashboard Cite

show abstract

“…In Reference 21, a polynomial approximation of the differential equations of the power system together with a sum of squares (SOS) optimization algorithm was employed to find a robust estimate for the critical compensation time. More recently, in Reference 22, the authors have analyzed the transient stability problem using a Lyapunov function constructed using an SOS optimization scheme. The main issue of the methods proposed in both papers is that every time a new uncertainty is included, the optimization problem must be executed from the beginning.…”

Section: Literature Reviewmentioning

confidence: 99%

A novel approach for transient stability using interval arithmetic and optimization methods

Fortulan

2021

Int Trans Electr Energ Syst

View full text Add to dashboard Cite

Summary In this article, a new approach is proposed to include parametric uncertainties in the analysis of the transient stability of power systems by using intervals. Two methodologies based on the interval uncertainties were developed and implemented: (i) a robust extension of the potential energy boundary surface method combined with interval arithmetic and (ii) an optimization formulation for the transient stability problem. The interval uncertainties enable one to obtain closed‐form expressions for stability assessment of uncertain systems, allowing a faster analysis. The results show that both methodologies can be used to find an accurate estimate of the critical clearing time for uncertain power systems more quickly than using the classical Monte Carlo approach.

show abstract

“…Starting from the concept of stability in power systems, it is important to consider the effect of inertia, which is associated with opposition to the change in movement of rotating elements such as synchronous generators [20]. The physical principle governing the oscillatory behavior of a synchronous generator is presented in (1):…”

Section: Inertia and Transient Response Of The Microgridmentioning

confidence: 99%

Optimal parameters of inverter-based microgrid to improve transient response

Pérez¹,

Candelo-Becerra²,

Hoyos³

2020

IJECE

View full text Add to dashboard Cite

The inertia issues in a microgrid can be improved by modifying the inverter control strategies to represent a virtual inertia simulation. This method employs the droop control strategy commonly used to share the power of a load among different power sources in the microgrid. This paper utilizes a modified droop control that represents this virtual inertia and applies an optimization algorithm to determine the optimal parameters and improve transient response. The results show better control when different variations are presented in the loads, leading the microgrid to have a better control of the operation. The optimization method applied in this research allows improvement to the transient response, thus avoiding unnecessary blackouts in the microgrid. : received his Bs. degree in Electrical Engineering and his Master in Electrical Engineering from the Universidad Nacional de Colombia, Sede Medellín. He has worked on projects related to design of electrical substations, electrical risk classification, and coordination of protections. He participated in the design of the electromechanical equipment for medium and high voltage substations and transient phenomena studies, obtaining experience in power system analysis. His research interests include: renewable energy, microgrid, energy storage, and power system protection and control.

show abstract

Analysis of robust transient stability of power systems using sum of squares programming

Cited by 8 publications

References 15 publications

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

A novel approach for transient stability using interval arithmetic and optimization methods

Optimal parameters of inverter-based microgrid to improve transient response

Contact Info

Product

Resources

About