The general non-symmetric, unbalanced star circuit

@article{Eggert2017TheGN,
  title={The general non-symmetric, unbalanced star circuit},
  author={Christian Eggert and Ralf G{\"a}er and Frank Klinker},
  journal={Mathematische Semesterberichte},
  year={2017},
  volume={64},
  pages={25-39}
}
We provide the general solution of problems concerning AC star circuits by turning them into geometric problems. We show that one problem is strongly related to the Fermat-point of a triangle. We present a solution that is well adapted to the practical application the problem is based on. Furthermore, we solve a generalization of the geometric situation and discuss the relation to non-symmetric, unbalanced AC star circuits. 

References

SHOWING 1-10 OF 16 REFERENCES
Analysis of a typical 3-phase star-connected circuit: A phasor diagram approach
  • T. Rathore, J. Rathore
  • Engineering
    2014 International Conference on Circuits, Systems, Communication and Information Technology Applications (CSCITA)
  • 2014
Analysis of a typical 3-phase star connected circuit through locus of the tip of any one of the phase voltages is given. Some very interesting properties are proved. With different values of the
The Fermat-Torricelli problem once more
Geometric Methods and Optimization Problems
I. Nonclassical Variational Calculus. II. Median Problems in Location Science. III. Minimum Convex Partitions of Polygonal Domains.
Advanced Electric Circuits
Electrical Circuits: An Introduction
TLDR
Theorems and techniques of linear circuit analysis are studied, as well as non-linear circuit analysis, which is concerned with two-port networks.
Geometric Problems on Maxima and Minima
Methods for Finding Geometric Extrema.- Selected Types of Geometric Extremum Problems.- Miscellaneous.- Hints and Solutions to the Exercises.
The Fermat-Steiner Problem
TLDR
The sum of the distances of any interior point M from the sides of an equilateral triangle equals the altitude of the triangle, and applying Viviani’s Theorem solves the problem.
...
...