The approximate expression of power flow jacobian matrix and analysis

2009 ◽  
Author(s):  
Zhiyou Xu ◽  
Qingquan Jia ◽  
Liu Li
Keyword(s):  
Power Flow ◽  
Jacobian Matrix ◽  
Approximate Expression

A Method of Static Security Analysis Based on Section Topology Relation

2012 ◽  
Vol 614-615 ◽  
pp. 900-906
Author(s):  
Jun Liu ◽  
Ling Ling Pan ◽  
Yi Jun Yu ◽  
Shu Hai Feng ◽  
Feng Li ◽  
...  
Keyword(s):  
Power Flow ◽  
Jacobian Matrix ◽  
Topological Analysis ◽  
Security Analysis ◽  
Current Data ◽  
Data Section ◽  
Dc Power ◽  
Topology Changes ◽  
Static Security ◽  
Partial Factor

In this paper, a calculation method of static security analysis based on section topology relation is proposed. When topological structure of current data section is the same as that of the basecase section, it fully utilizes the factor tables of Jacobian matrix, and inverse matrix information of the basecase data section in rapid filtration of DC power flow. On the contrary, If topology changes compared with the basecase section, it adopts substation partial topological analysis technology as well as the method of partial factor table correction to increase the speed of calculation. Case studies with a practical power system indicate that the proposed method is correct and reasonable.

An Approach to Re-dispatch Generators Based on the Modified Power Flow Jacobian Matrix

2007 ◽  
Author(s):  
R. C. Leme ◽  
A. C. Zambroni de Souza ◽  
R. S. Salgado ◽  
B. Isaias L. Lopes ◽  
O. A. S. Carpinteiro
Keyword(s):  
Power Flow ◽  
Jacobian Matrix

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.

scholarly journals Static analysis of voltage stability with DFIG

2016 ◽  
Vol 19 (3) ◽  
pp. 5-12
Author(s):  
Binh Thi Thanh Phan ◽  
Thao Thi Thu Huynh ◽  
Au Ngoc Nguyen
Keyword(s):  
Stability Analysis ◽  
Modal Analysis ◽  
Static Analysis ◽  
Power Flow ◽  
Voltage Stability ◽  
Jacobian Matrix ◽  
Wind Generation ◽  
Power Network ◽  
Power Flow Calculation ◽  
Static Voltage Stability

The static voltage stability analysis is carried out by V-Q sensitivity or Q-V modal analysis. These analyses are based on the Jacobian matrix of power flow calculation. This is regarded as load bus stability analysis. With DFIG of PQ mode, the wind generation bus is considered as the PQ bus. Due to the limits of converters, these PQ buses became very special and this influences on the voltage stability examining. This paper also examines the penetration level and the location of wind generation injection based on voltage stability. The reliability of the algorithm is illustrated in a study of 14 buses power network.

Power Flow Method for Distribution Systems Based on the Current Network Equation

2014 ◽  
Vol 1070-1072 ◽  
pp. 839-842
Author(s):  
Xiao Xiao Ye ◽  
Xiong Xie ◽  
Fang Zong Wang
Keyword(s):  
Newton Method ◽  
Radial Distribution ◽  
Constant Coefficient ◽  
Power Flow ◽  
Distribution Systems ◽  
Jacobian Matrix ◽  
Coefficient Matrix ◽  
General Distribution ◽  
Flow Equations ◽  
Flow Algorithm

Proposed general distribution power flow algorithm based on the current network equation. The power flow equations of the algorithm based on the node current balance, and the Jacobian matrix is a constant coefficient matrix compared to the conventional Newton method. It has the characteristics of easy programming, and the method has universality at the same time. It can be used for radial distribution network and systems with loops. The example shows that the method is superior to conventional Newton method on speed and convergence.

Multiple Regression Analysis Model on Power Dispatch

2012 ◽  
Vol 512-515 ◽  
pp. 953-956 ◽  
Author(s):  
Hua Ren Zhou ◽  
Yue Hong Qian ◽  
Xi Qiang Liu ◽  
Ou Wu
Keyword(s):  
Power Flow ◽  
Approximate Expression ◽  
Simple Calculation ◽  
Active Power ◽  
Linear Regression Method ◽  
Analysis Model ◽  
Congestion Cost ◽  
Multiple Linear Regression Method ◽  
Active Power Flow ◽  
Unit Output

The multiple linear regression method is used, the method of calculating the active power flow and the unit output is discussed , a simple approximate expression is designed, and the corresponding error value is given. a simple calculation rules of congestion cost is given, calculation rules for the actual cost minus the theoretical costs and requirements of the actual costs is as low as possible to avoid blocking; Block can not be avoided, then try to avoid the wind up.

scholarly journals Negative Reactance Impacts on the Eigenvalues of the Jacobian Matrix in Power Flow and Type-1 Low-Voltage Power-Flow Solutions

2017 ◽  
Vol 32 (5) ◽  
pp. 3471-3481 ◽  
Author(s):  
Tao Ding ◽  
Cheng Li ◽  
Yongheng Yang ◽  
Rui Bo ◽  
Frede Blaabjerg
Keyword(s):  
Power Flow ◽  
Jacobian Matrix ◽  
Low Voltage
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