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Analyzing Distribution System Load Flow Through Linearization of Non-Holomorphic Functions

Ibrahim Habiballah, Wasiu Sulaimon, Fahad Al-Ismail

Abstract

This letter presents a novel non-iterative power flow solution for radial distribution systems. In the pursuit of a linear power flow solution that seamlessly integrates into other power system operations, an approximate solution via complex linearization of non-holomorphic functions, making no assumptions about the network's parameters was developed. This approach can be readily adapted to different load models, and its accuracy is comparable to other established conventional radial load flow analysis tools.

Analyzing Distribution System Load Flow Through Linearization of Non-Holomorphic Functions

Abstract

This letter presents a novel non-iterative power flow solution for radial distribution systems. In the pursuit of a linear power flow solution that seamlessly integrates into other power system operations, an approximate solution via complex linearization of non-holomorphic functions, making no assumptions about the network's parameters was developed. This approach can be readily adapted to different load models, and its accuracy is comparable to other established conventional radial load flow analysis tools.
Paper Structure (12 sections, 20 equations, 3 figures, 2 tables)

This paper contains 12 sections, 20 equations, 3 figures, 2 tables.

Table of Contents

  1. Introduction
  2. Methodology
  3. Problem Formulation
  4. ZIP Load Formulation
  5. Constant Power Load
  6. Constant Impedance Load
  7. Constant Current Load
  8. ZIP Linearized Formulation
  9. Results
  10. Case 1
  11. Case 2
  12. Conclusion

Figures (3)

  • Figure 1: A generic distribution system radial feeder network.
  • Figure 2: Error between the forward-backward sweep and the proposed method
  • Figure 3: LUVR comparison between the forward-backward sweep and the proposed method