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Distribution System Modeling and Analysis
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Table of Contents

Introduction to Distribution Systems

Distribution System

Distribution Substations

Radial Feeders

Distribution Feeder Map

Distribution Feeder Electrical Characteristics


Nature of Loads

Definitions

Individual Customer Load

Distribution Transformer Loading

Feeder Load


Approximate Method of Analysis

Voltage Drop

Line Impedance

"K" Factors

Uniformly Distributed Loads

Lumping Loads in Geometric Configurations


Series Impedance of Overhead and Underground Lines

Series Impedance of Overhead Lines

Series Impedance of Underground Lines

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Shunt Admittance of Overhead and Underground Lines

General Voltage Drop Equation

Overhead Lines

Concentric Neutral Cable Underground Lines

Tape-Shielded Cable Underground Lines

Sequence Admittance

Shunt Admittance of Parallel Underground Lines

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Distribution System Line Models

Exact Line Segment Model

Modified Line Model

Approximate Line Segment Model

Modified "Ladder" Iterative Technique

General Matrices for Parallel Lines

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Voltage Regulation

Standard Voltage Ratings

Two-Winding Transformer Theory

Two-Winding Autotransformer

Step-Voltage Regulators

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Three-Phase Transformer Models

Introduction

Generalized Matrices

Delta-Grounded Wye Step-Down Connection

Delta-Grounded Wye Step-Up Connection

Ungrounded Wye-Delta Step-Down Connection

Ungrounded Wye-Delta Step-Up Connection

Grounded Wye-Delta Step-Down Connection

Open Wye-Open Delta

Grounded Wye-Grounded Wye Connection

Delta-Delta Connection

Open Delta-Open Delta

Thevenin Equivalent Circuit

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Load Models

Wye-Connected Loads

Delta-Connected Loads

Two-Phase and Single-Phase Loads

Shunt Capacitors

Three-Phase Induction Machine

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Distribution Feeder Analysis

Power-Flow Analysis

Short-Circuit Studies

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Center-Tapped Transformers and Secondaries

Center-Tapped Single-Phase Transformer Model

Ungrounded Wye-Delta Transformer Bank with a Center-Tapped Transformer

Leading Open Wye-Open Delta Transformer Connection

Lagging Open Wye-Open Delta Connection

Four-Wire Secondary

Putting It All Together

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Appendix A: Conductor Data

Appendix B: Underground Cable Data

About the Author

William H. Kersting received his BSEE from New Mexico State University (NMSU), Las Cruces, and his MSEE from the Illinois Institute of Technology. He joined the faculty at New Mexico State University in 1962 and served as professor of electrical engineering and director of the Electric Utility Management Program until his retirement in 2002. He is currently a consultant for Milsoft Utility Solutions. He is also a partner in WH Power Consultants, Las Cruces, New Mexico. Professor Kersting is a life fellow of the Institute of Electrical and Electronics Engineers. He received the Edison Electric Institute's Power Engineering Educator Award in 1979 and the NMSU Westhafter Award for Excellence in Teaching in 1977. Prior to joining NMSU, he was employed as a distribution engineer at El Paso Electric Company. Professor Kersting has been an active member of the IEEE Power Engineering Education Committee and the Distribution System Analysis Subcommittee.

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