Voltage Stability Margin in DC Grids With CPLs: A Recursive Newton-Raphson Approximation

This express brief addresses the voltage collapse problem in direct-current (dc) networks by using a recursive heuristic search algorithm based on the Newton-Raphson method. The determinant of the Jacobian matrix in the Newton-Raphson method is used as a sensitivity index to determine the maximum po...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2020-02, Vol.67 (2), p.300-304
Main Authors: Montoya, Oscar Danilo, Gil-Gonzalez, Walter, Garrido, V. M.
Format: Article
Language:English
Subjects:
Computer simulation
Direct current networks
Indexes
Jacobi matrix method
Jacobian matrices
Jacobian matrix
Mathematical model
Maximum power
Newton-Raphson method
Newton–Raphson power flow
Optimization
Power consumption
Power flow
Power system stability
Programming environments
pure-algorithmic methodology
Recursive methods
Search algorithms
Sensitivity
sensitivity index
Solvers
Stability criteria
Voltage collapse
Voltage stability
voltage stability margin
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Summary:This express brief addresses the voltage collapse problem in direct-current (dc) networks by using a recursive heuristic search algorithm based on the Newton-Raphson method. The determinant of the Jacobian matrix in the Newton-Raphson method is used as a sensitivity index to determine the maximum power consumption of the dc network. The recursive solution approach corresponds to a sequential power flow approach by incrementing all values of the power consumptions uniformly. Simulation results validate the efficiency of the proposed method in comparison to the large-scale nonlinear solvers available in the general algebraic modeling system optimization package. The MATLAB programming environment was employed for implementing the proposed recursive Newton-Raphson method.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2019.2904211