Computing the Singular Solution of Power Flow System

2013 ◽  
Vol 392 ◽  
pp. 660-664
Author(s):  
Zhen Yi Ji ◽  
Wen Yuan Wu ◽  
Yi Li ◽  
Yong Feng
Keyword(s):  
Singular Solution ◽  
Power Flow ◽  
Quadratic Convergence ◽  
Jacobian Matrix ◽  
Flow System ◽  
Null Space ◽  
Full Rank ◽  
High Accuracy ◽  
Newton Iteration ◽  
Initial Value

The purpose of this paper is to compute the singular solution of the nonlinear equations arising in power flow system. Based on the approximate null space of the Jacobian matrix, more equations are introduced to the origin system. Meanwhile, the Jacobian matrix of augmented equations at initial value is full rank, then the algorithm recovers quadratic convergence of Newtons iteration. The algorithm in this paper leads to higher accuracy of the singular solution and less iteration steps. In addition, two power flow systems are studied in this paper and the results show this new method has high accuracy and efficiency compared with traditional Newton iteration

Optical Analysis of the UPQC using PI Controller in Power flow System

2021 ◽  
Author(s):  
Mamidala Vijay Karthik ◽  
M.Kalyan Chakravarthi ◽  
Lis M Yapanto ◽  
D Selvapandian ◽  
R. Harish ◽  
...  
Keyword(s):  
Power Flow ◽  
Flow System ◽  
Pi Controller ◽  
Optical Analysis

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.

scholarly journals Structural Condition for Controllable Power Flow System Containing Controllable and Fluctuating Power Devices

Energies ◽  
2020 ◽  
Vol 13 (7) ◽  
pp. 1627 ◽  
Author(s):  
Saher Javaid ◽  
Mineo Kaneko ◽  
Yasuo Tan
Keyword(s):  
Power System ◽  
Flow Control ◽  
Power Flow ◽  
Flow System ◽  
Power Balance ◽  
Power Demand ◽  
Power Devices ◽  
Power Sources ◽  
Power Flow Control ◽  
Power Fluctuations

This paper discusses a structural property for a power system to continue a safe operation under power fluctuation caused by fluctuating power sources and loads. Concerns over global climate change and gas emissions have motivated development and integration of renewable energy sources such as wind and solar to fulfill power demand. The energy generated from these sources exhibits fluctuations and uncertainty which is uncontrollable. In addition, the power fluctuations caused by power loads also have the same consequences on power system. To mitigate the effects of uncontrollable power fluctuations, a power flow control is presented which allocates power levels for controllable power sources and loads and connections between power devices. One basic function for the power flow control is to balance the generated power with the power demand. However, due to the structural limitations, i.e., the power level limitations of controllable sources and loads and the limitation of power flow channels, the power balance may not be achieved. This paper proposes two theorems about the structural conditions for a power system to have a feasible solution which achieves the power balance between power sources and power loads. The discussions in this paper will provide a solid theoretical background for designing a power flow system which proves robustness against fluctuations caused by fluctuating power devices.

Analysis of Active Joint Failure in Parallel Robot Manipulators

2004 ◽  
Vol 126 (6) ◽  
pp. 959-968 ◽  
Author(s):  
Mahir Hassan ◽  
Leila Notash
Keyword(s):  
Jacobian Matrix ◽  
Null Space ◽  
Robot Manipulators ◽  
Parallel Manipulators ◽  
Parallel Robot ◽  
Task Space ◽  
Active Joint ◽  
Joint Failure ◽  
Space Vectors ◽  
Six Degree Of Freedom

In this study, the effect of active joint failure on the mobility, velocity, and static force of parallel robot manipulators is investigated. Two catastrophic active joint failure types are considered: joint jam and actuator force loss. To investigate the effect of failure on mobility, the Gru¨bler’s mobility equation is modified to take into account the kinematic constraints imposed by various branches in the manipulator. In the case of joint jam, the manipulator loses the ability to move and apply force in a specific portion of its task space; while in the case of actuator force loss, the manipulator gains an unconstrained motion in a specific portion of the task space in which an externally applied force cannot be resisted by the actuator forces. The effect of joint jam and actuator force loss on the velocity and on the force capabilities of parallel manipulators is investigated by examining the change in the Jacobian matrix, its inverse, and transposes. It is shown that the reduced velocity and force capabilities after joint jam and loss of actuator force could be determined using the null space vectors of the transpose of the Jacobian matrix and its inverse. Computer simulation is conducted to demonstrate the application of the developed methodology in determining the post-failure trajectory of a 3-3 six-degree-of-freedom Stewart-Gough manipulator, when encountering active joint jam and actuator force loss.

Artificial Neural Network Approach for Solving Power Flow Problem: A Case Study of Ayede 132 KV Power System, Nigeria

2011 ◽  
Vol 367 ◽  
pp. 133-141
Author(s):  
P.B. Osofisan ◽  
J.O. Ilevbare
Keyword(s):  
Neural Network ◽  
Power System ◽  
Test Data ◽  
Power Flow ◽  
Flow Problem ◽  
High Accuracy ◽  
Voltage Phase ◽  
Phase Angles ◽  
Very High ◽  
Power Flow Problem

The main objective of this research work was to use Artificial Neural Network (ANN) based method for solving Power Flow Problem for a power system in Nigeria. This was achieved using the Backpropagation (multilayered feed-forward) Neural Network model. Two Backpropagation neural networks were designed and trained; one for computing voltage magnitudes on all buses and the other for computing voltage phase angles on all PV and PQ buses for different load and generation conditions for a 7-bus 132 kV power system in South-West Nigeria (Ayede). Due to unavailability of historical field records, data representing different scenarios of loading and/or generation conditions had to be generated using Newton-Raphson non-linear iterative method. A total of 250 scenarios were generated out of which 50% were used to train the ANNs, 25% were used for validation and the remaining 25% were used as test data for the ANNs. The test data results showed very high accuracy for the ANN used for computing voltage magnitudes for all test data with a Mean Square Error (MSE) of less than 10-6. Also, the ANN used for computing voltage phase angles showed very high accuracy in about 80% of the test data and acceptable results in about 97% of the test data. The MSE for all the test data results for the ANN computing voltage phase angles was less than 10-2.

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