Global Parametric Polynomial Approximation of Static Voltage Stability Region Boundaries

Qiu, Yiwei; Wu, Hao; Zhou, Yongzhi; Song, Yonghua

doi:10.1109/tpwrs.2016.2597364

Cited by 41 publications

(18 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In many problems, the boundary is very useful to help us to distinguish the domains with different properties. For example, the static voltage stability region boundaries can be used to describe the critical condition of the static voltage stability [22]. In this section, two examples are introduced to show the applications of Galerkin method to the region boundary problems.…”

Section: Applications To the Region Boundary Problemsmentioning

confidence: 99%

Global optimal polynomial approximation for parametric problems in power systems

Zhou

et al. 2018

J. Mod. Power Syst. Clean Energy

Self Cite

View full text Add to dashboard Cite

The influence of parameters on system states for parametric problems in power systems is to be evaluated. These parameters could be renewable generation outputs, load factor, etc. Polynomial approximation has been applied to express the nonlinear relationship between system states and parameters, governed by the nonlinear and implicit equations. Usually, sampling-based methods are applied, e.g., data fitting methods and sensitivity methods, etc. However, the accuracy and stability of these methods are not guaranteed. This paper proposes an innovative method based on Galerkin method, providing global optimal approximation. Compared to traditional methods, this method enjoys high accuracy and stability. IEEE 9-bus system is used to illustrate its effectiveness, and two additional studies including a 1648-bus system are performed to show its applications to power system analysis.

show abstract

Section: Applications To the Region Boundary Problemsmentioning

confidence: 99%

Global optimal polynomial approximation for parametric problems in power systems

Zhou

et al. 2018

J. Mod. Power Syst. Clean Energy

Self Cite

View full text Add to dashboard Cite

show abstract

“…Yiwei Qiu et. al. proposed parametric polynomial approximation of static voltage stability region boundaries based on Galerkin method and, suggested real time determination of left and right eigen vectors associated with zero eigen value at the estimated saddlenode-bifurcation space for online monitoring and control of voltage stability [6].…”

Section: Introductionmentioning

confidence: 99%

Online monitoring of voltage stability margin using PMU measurements

Sahu

Verma

2020

IJECE

View full text Add to dashboard Cite

With the growing smart grid concept it becomes important to monitor health of the power system at regular intervals for its secure and reliable operation. Phasor Measurement Units (PMUs) may play a vital role in this regard. This paper presents voltage stability monitoring in real time framework using synchrophasor measurements obtained by PMUs. Proposed approach estimates real power loading margin as well as reactive power loading margin of most critical bus using PMU data. As system operating conditions keep on changing, loading margin as well as critical bus information is updated at regular intervals using fresh PMU measurements. Simulations have been carried out using Power System Analysis Toolbox (PSAT) software. Accuracy of proposed Wide Area Monitoring System (WAMS) based estimation of voltage stability margin has been tested by comparing results with loading margin obtained by continuation power flow method (an offline approach for accurate estimation of voltage stability margin) under same set of operating conditions. Case studies performed on IEEE 14-bus system, New England 39-bus system and a practical 246-bus Indian power system validate effectiveness of proposed approach of online monitoring of loading margin.

show abstract

“…At present, the parametric approximation (PA) method has been widely used in engineering, computer science, and other fields [19][20], and it has also been applied in power systems. In terms of SVS, the authors of [21] took the saddle-node bifurcation point condition as the judgement equation of the SVS region of power systems and used the Galerkin method in the PA method to obtain the polynomial approximate expression of the SVS region boundary, which improved the accuracy of the original method. Based on [21], the bound of the reactive power output of generators was further considered in [22], and a more accurate SVS region boundary was obtained.…”

Section: Introductionmentioning

confidence: 99%

“…In terms of SVS, the authors of [21] took the saddle-node bifurcation point condition as the judgement equation of the SVS region of power systems and used the Galerkin method in the PA method to obtain the polynomial approximate expression of the SVS region boundary, which improved the accuracy of the original method. Based on [21], the bound of the reactive power output of generators was further considered in [22], and a more accurate SVS region boundary was obtained. The PA method has also been applied in other power system analysis fields [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Multi-Objective Optimal Control Approach for Static Voltage Stability of Power System Considering Interval Uncertainty of the Wind Farm Output

et al. 2020

View full text Add to dashboard Cite

The static voltage stability margin (SVSM) of a power system considering the uncertain fluctuation range of wind farm (WF) output can be described as an interval value called the SVSM interval. A multi-objective optimal control model for SVS of a power system considering the interval uncertainty of WF output is proposed. The objective functions of the model are to increase the central value and reduce the fluctuation range of the SVSM interval, and the decision variables are the active power output and terminal voltage of generators and the switching capacity of shunt capacitors. Thus, it is a multi-layer optimization model. A parametric approximation (PA) method is used to obtain the approximate functional relationship between the optimal objective function values and the decision variables of the inner-layer and mid-layer optimization models and convert the optimization model into a single-layer bi-objective optimization model. A method for obtaining the continuous Pareto frontier of the bi-objective optimization model is proposed based on the normalized normal constraint and PA methods, and the compromise optimal solution calculated from the continuous Pareto frontier is used as the optimal control scheme. Two methods for improving the calculation efficiency of the PA method are also proposed. Finally, results from experimentation on the IEEE 39-bus system and an actual provincial power grid demonstrate the effectiveness of the proposed method.

show abstract

Global Parametric Polynomial Approximation of Static Voltage Stability Region Boundaries

Cited by 41 publications

References 18 publications

Global optimal polynomial approximation for parametric problems in power systems

Global optimal polynomial approximation for parametric problems in power systems

Online monitoring of voltage stability margin using PMU measurements

Multi-Objective Optimal Control Approach for Static Voltage Stability of Power System Considering Interval Uncertainty of the Wind Farm Output

Contact Info

Product

Resources

About