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Per Unit Analysis for Single and Three Phase Systems
Rating: 4.7 out of 5(51 ratings)
362 students

Per Unit Analysis for Single and Three Phase Systems

"Per Unit Analysis", another tool to help analyze power systems and aid in understanding equipment specifications
Last updated 9/2018
English
English [Auto],

What you'll learn

  • In this course, you will learn exactly what Per Unit Analysis is and how manufacturers of equipment use it to rate their equipment.

Course content

1 section13 lectures6h 5m total length
  • 00 Intro (R1)5:54

    Explore per unit and per phase analysis to simplify three-phase power systems, using normalization, symmetrical components, and basic circuit theorems to handle transformer ratios and balanced versus unbalanced conditions.

  • 01 Per Phase Analysis (R1)33:33

    Apply per phase analysis to reduce a balanced three-phase system to a single phase, convert delta loads to y, and compute voltages, currents, and apparent powers.

  • 02 The Normalization Process50:29

    Master per unit analysis and the normalization process to simplify power system calculations by using base values, converting to per unit, and back to actual values, removing transformer turns ratios.

  • 03 A Single Phase PU Example (R1)10:18

    Demonstrates a 1-phase per unit analysis of a generator-load circuit, selecting base quantities, converting impedance and currents to per unit, and computing current, power, and voltage drops.

  • 04a Three Phase PU Analysis & Transformer Configurations (R1)51:53

    Explore three-phase per unit analysis, including line-to-line and line-to-neutral voltages, balance systems, and transformer configurations (star, delta) using per-phase and per-unit equivalents.

  • 04b Three Phase PU Analysis & Transformer Configurations (R1)44:01

    Explore three-phase per unit analysis and transformer configurations by examining star-delta transformers, phasor relations between primary and secondary voltages, and per phase and per unit equivalents.

  • 04c Three Phase PU Analysis & Transformer Configurations (R1)51:03

    Explore per unit analysis of delta-wye transformer configurations, focusing on a delta primary and y secondary, phase relationships, line-to-line versus line-to-neutral voltages, and the 30-degree phase shift.

  • 05a Change of Bases (R1)16:06

    Learn how to convert transformer and generator per-unit impedance when changing bases, using voltage and MVA bases and two equivalent methods with Z_base and Z_pu.

  • 05b System Circuit Analysis27:19

    Apply per unit normalization to balanced three-phase circuits, convert delta to wye, set base values, and solve for per unit currents and voltages before obtaining actual values.

  • 06 Three Phase PU Example18:30

    Explore a three-phase per-unit analysis by establishing base values, converting circuit quantities to per unit, and computing the generator current for a delta-to-wye transformer with an inductive load.

  • 07 A PU Example9:27

    Compute short-circuit currents for a Y-delta three-phase transformer bank, using per-unit analysis with primary 2200 V and secondary 220 V. Establish bases, reflect impedance, and perform balanced fault calculations.

  • 08 A PU Example22:10

    Perform a per-unit analysis of a three-phase system by selecting bases, converting line, generator, and transformer impedances to a common base, and applying delta-wye phase shifts.

  • 09 A PU Example24:21

    Perform a per-unit analysis of a three-phase system with three generators and three transformers, converting single-phase ratings to a three-phase bank and calculating impedances across Y and Delta connections.

Requirements

  • The student should have an understanding of the laws and theorems related to three phase electrical power systems.

Description

In the power systems analysis field of electrical engineering, a per-unit system is the expression of system quantities as fractions of a defined base unit quantity. Calculations are simplified because quantities expressed as per-unit do not change when they are referred from one side of a transformer to the other.

In this course you will learn exactly what Per Unit Analysis is, the main advantages of using it, how manufacturers of equipment use and rate their products and the technique of converting to and from the Per Unit system.

Several examples of working with Per Unit are demonstrated in this crisp clear presentation. When you finish you will have a though understanding of this subject.

It is important for all power engineers and technicians to be familiar with the concept of Per Unit as it is being used and referred to every day in power flow, short circuit evaluation and motor starting studies.

Who this course is for:

  • The targeted audience is Managers, Engineers, Technologists, Maintenance Personnel working in the electrical power protection industry.