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1 Transformer Equivalent Circuit

Transformer Model

Timothy Vismor
January 23, 2015
Abstract

This document describes a transformer model that is useful for the analysis of large scale electric power systems. It defines a balanced transformer representation primarily intended for use with analytical techniques that are based on the complex nodal admittance matrix. Particular attention is paid to the integration with ”fast decoupled load flow” (FDLF) algorithms.

Copyright © 1990-2015 Timothy Vismor

Contents:
  • 1 Transformer Equivalent Circuit
  • 2 Transformer Parameters
    • 2.1 Leakage Impedance
    • 2.2 Voltage Transformation
      • 2.2.1 Transformation Ratio
      • 2.2.2 Phase Shift
    • 2.3 Voltage Regulation
  • 3 Transformer Admittance Model
  • 4 Computing Admittances
    • 4.1 Self Admittances
      • 4.1.1 Primary Admittance
      • 4.1.2 Secondary Admittance
    • 4.2 Transfer Admittances
      • 4.2.1 Primary to Secondary
      • 4.2.2 Secondary to Primary
      • 4.2.3 Observations on Computational Sequence
  • 5 TCUL Devices
    • 5.1 Computing Tap Adjustments
    • 5.2 Error Feedback Formulation
    • 5.3 Controlled Bus Sensitivity
    • 5.4 Physical Constraints on Tap Settings
  • 6 Transformers in the Nodal Admittance Matrix
  • 7 The Nodal Admittance Matrix during TCUL
  • 8 Integrating TCUL into FDLF
  • References
List of Tables:
  • 1 Per Unit to Ohm Conversion Constants
  • 2 Transformer Phase Shifts
  • 3 Common Transformer Tap Parameters
  • 4 Ybus Maintenance Costs
List of Figures:
  • 1 Transformer Equivalent Circuit Diagram

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Revised: Mon, 22 Jun 2020

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