Evaluation Method of Voltage Stability Based on Minimum Singular Value

2014 ◽  
Vol 511-512 ◽  
pp. 1128-1132
Author(s):  
Bing Liu ◽  
Ying Wang ◽  
Zhen Yang ◽  
Yun Wei Li ◽  
Hua Zhi Xie ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Limit Point ◽  
Voltage Stability ◽  
Evaluation Method ◽  
Jacobian Matrix ◽  
Stability Limit ◽  
Singular Value ◽  
Static Voltage Stability ◽  
Stability Monitoring ◽  
Value Decomposition

When the system reaches the static voltage stability limit point, Jacobian matrix is singular. By checking if minimum singular value is zero, its very easy to determine whether or not Jacobian matrix is singular. So the minimum singular value of Jacobian matrix can reflects the degree of system voltage stability effectively. Firstly this paper introduces singular value decomposition, analyses load characteristic and excitation limits involved in this method and examples on PSD-FDS are demonstrated. At last, suggestion on voltage stability monitoring by minimum singular value is proposed.

scholarly journals Online Static Voltage Stability Monitoring for Power Systems Using PMU Data

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Jianhong Pan ◽  
Aidi Dong ◽  
Jiashu Fan ◽  
Yang Li
Keyword(s):  
Power Systems ◽  
Power Flow ◽  
Voltage Stability ◽  
Jacobian Matrix ◽  
Singular Values ◽  
Test System ◽  
Measurement Unit ◽  
Monitoring Method ◽  
Static Voltage Stability ◽  
Stability Monitoring

A new online static voltage stability monitoring method for power systems is proposed by using phasor measurement unit (PMU) data in this paper. This approach uses the real-time power, voltage, and phase angle data collected by the PMU to estimate the power flow Jacobian matrix of the system, and then the static voltage stability is monitored via the minimum singular values (MSVs) of the power flow Jacobian matrix. The novelty of the approach lies in the fact that it only utilizes PMU data for implementing online monitoring of the power system static voltage stability, independent of the physical model and its parameters. The application results on the IEEE 57-bus test system verify the effectiveness of the proposed approach.

Operation reliability evaluation of cutting tools based on singular value decomposition transform and support vector space

2018 ◽  
Vol 233 (2) ◽  
pp. 175-185
Author(s):  
Baojia Chen ◽  
Baoming Shen ◽  
Fajun Zhang ◽  
Wenrong Xiao ◽  
Fafa Chen ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Dimensionality Reduction ◽  
Vector Space ◽  
Evaluation Method ◽  
Cutting Tools ◽  
Reliability Evaluation ◽  
Singular Value ◽  
Relative Distance ◽  
Support Vector ◽  
Value Decomposition

The traditional reliability evaluation method based on large sample statistics is inefficient for a single or a small batch computer numerical control turning cutting tool due to the inadequate description of time, dynamic process, inaccurate model and individualization. To solve the problem, a new operation reliability evaluation method based on singular value decomposition transform and support vector space is proposed. In this new method, the singular value decomposition is used for the dimensionality reduction of high-dimensional feature data so as to reduce the computational complexity and the redundant components. The hypersphere space of the similar data is established based on the dimension reduction data. The relative distance between the sample points and the hypersphere is then calculated and used to describe the performance of the tool. The semi-normal function is introduced to define the mapping relationship of the relative distance and the operation reliability of the tool. Finally, two cutting tools in the experiment are taken as the research example to verify the effectiveness of the method. The result shows that this method can evaluate the operation reliability of the tool effectively and the singular value decomposition dimensionality reduction improves the accuracy of the evaluation. It provides a new theoretical and practical support for the reliability evaluation of small sample data.

scholarly journals Weakest Bus Identification Based on Modal Analysis and Singular Value Decomposition Techniques

2011 ◽  
Vol 7 (2) ◽  
pp. 157-162
Author(s):  
M. K. Jalboub ◽  
H. S. Rajamani ◽  
R.A. Abd-Alhameed ◽  
A. M. Ihbal
Keyword(s):  
Singular Value Decomposition ◽  
Power System ◽  
Modal Analysis ◽  
Voltage Stability ◽  
Singular Value ◽  
Test Results ◽  
Dynamic Voltage ◽  
Dynamic Voltage Stability ◽  
Value Decomposition ◽  
Planning And Operation

Voltage instability problems in power system is an important issue that should be taken into consideration during the planning and operation stages of modern power system networks. The system operators always need to know when and where the voltage stability problem can occur in order to apply suitable action to avoid unexpected results. In this paper, a study has been conducted to identify the weakest bus in the power system based on multi-variable control, modal analysis, and Singular Value Decomposition (SVD) techniques for both static and dynamic voltage stability analysis. A typical IEEE 3-machine, 9-bus test power system is used to validate these techniques, for which the test results are presented and discussed.

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