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We illustrate the application and advantages of the proposed approximation.
The proposed approximation is benchmarked against more rigorous methods, including time domain simulation.
Convergence analysis for the proposed approximation is established based on certain decay properties of the kernels.
We explore the behaviour and accuracy of the proposed approximation on three test cases.
Numerical simulation and experimental study are conducted to validate the accuracy of the proposed approximation method.
This proposed approximation shows reliable results eliminating the need to use complicated numerical models saving computational time and cost.
The studies indicate the proposed approximation provides a very accurate solution for systems with a good voltage profile.
The stabilities of the harmonic solutions are analyzed, and finally our proposed approximation is verified compared with the numerical results.
The extension to nonlinear systems is discussed as well the challenges in the implementation of the proposed approximation methods.
The proposed approximation function has been checked by numerical models, and its good accuracy has been proven.
Numerical examples are presented to illustrate the accuracy of the proposed approximation scheme and the efficiency of the proposed solver.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com