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(1)

Transformer Inrush Current

Reduction

(2)

Overview

What is Inrush Current?

Electromagnetic Phenomenon

Magnetic Properties

Causes of Inrush

Thesis Work

Problem Statement

Experimental Measurements

Pre-fluxing

(3)

Inrush Current

Occurs when energizing

transformers

5-6 times normal

operating current

Stresses insulation

Thermal Stress

Physical Stress

Causes Protection/Power

(4)

Faraday's Law

Magnetic Flux

Density

Magnetic Field

Intensity

Vp Np

d

t

d

B

Acore

H

Np IP

MPL

(5)

Magnetic Hysteresis

B

0

r

H

Source: http://hyperphysics.phy-astr.gsu.edu/Hbase/Solids/hyst.html

(6)

Normal Transformer Operation

(7)

Inrush Current Causes

Based on two main factors:

Residual Flux

Energizing (or Switching) Instant

Ideally switch when prospective flux equals residual

flux

(8)

Inrush – Incorrect Switching Time

(9)

No Inrush – Proper Switching Time

(10)

Ideal Single Phase Switching – Demagnetized Case

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1

System Voltage

Winding Voltage - Demagnetized Case

Time (s) Vo lt ag e (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1

Prospective Flux

Transformer Flux - Demagnetized Case

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Residual Flux Prospective Flux

Transformer Flux - Demagnetized Case

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - Demagnetized Case

Time (s) Vo lt ag e (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Transient Flux Prospective Flux

Transformer Flux - Demagnetized Case

(11)

Ideal Single Phase Switching – Demagnetized Case 2

0.01 0 0.01 0.02 0.03 0.04

1.5 1 0.5 0.5 1 Transient Flux Prospective Flux

Transformer Flux - Demagnetized Case

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - Demagnetized Case

(12)

Ideal Single Phase Switching – Magnetized Case

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Transient Flux Prospective Flux

Transformer Flux - Magnetized Case

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - Magnetized Case

Time (s) Vo lt ag e (p u)

0.01 0 0.01 0.02 0.03 0.04

2 1 1

Transient Flux Prospective Flux

Transformer Flux - Magnetized Case

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - Magnetized Case

(13)

Worst Case Single Phase Switching

0.01

 0 0.01 0.02 0.03 0.04 1  1 2 3 Transient Flux Prospective Flux

Transformer Flux - Magnetized Case

Time (s) F lu x (p u) 0.01

 0 0.01 0.02 0.03 0.04

1  0.5  0.5 1 Winding Voltage System Voltage

Winding Voltage - Magnetized Case

(14)

0.01 0.005 0 0.005 0.01 0.015

1 0.5 0.5 1

Winding Voltage - Phase A System Voltage - Phase A Winding Voltage - Phase B System Voltage - Phase B Winding Voltage - Phase C System Voltage - Phase C

Winding Voltage Time (s) Vo lt ag e (p u)

0.01 0.005 0 0.005 0.01 0.015

1 0.5 0.5 1

Transient Flux - A Phase Prospective Flux - A Phase Transient Flux - B Phase Prospective Flux - B Phase Transient Flux - C Phase Prospective Flux - C Phase

Transformer Flux Time (s) F lu x (p u)

Ideal Three Phase, Three Pole Switching

Φ

r

=87% of Φ

max
(15)

Problem Statement

Set Residual Flux in Single-Phase Transformer

‘Pre-fluxing’

Set as high as possible

Controlled Energization

(16)

Experimental Setup

55 kVA Transfomer

Primary/Secondary

Winding – 230 V

Tertiary Winding – 25 V

LabVIEW

Computer-based

Measurement Software

Measure Flux

Precision Switch

Allows Controlled

(17)
(18)

Experimental Hysteresis

Measurements

Nominal Winding Voltage - 25 V

Sequence of plots

(19)

Hysteresis Loop Family

(20)

Tertiary Winding at 8.5 Vrms

Flux

(21)

Tertiary Winding at 17 Vrms

Flux

(22)

Tertiary Winding at 19.5 Vrms

Flux

(23)

Tertiary Winding at Rated 25 Vrms

Flux

Magnetizing Current

B

r_max

= 0.95 T

(24)

Inrush Current – Demagnetized

Case

Case 1: Unloaded Steady-State Operation

Case 2: Proper Switching – No Inrush

Case 3: Worst Case Switching – Maximum

(25)

Unloaded Steady-State Operation (230 V Winding)

Voltage

(26)

Demagnetized – Proper Switching Time (~90 deg)

Voltage

(27)

Demagnetized – Proper Switching Time (~90 deg)

Voltage

(28)

Demagnetized – Improper Switching Time (0 deg)

Voltage

(29)

Demagnetized – Improper Switching Time (0 deg)

Voltage

(30)

Demagnetized – Improper Switching Time (0 deg)

Voltage

(31)

Prefluxing

Send a pulse of energy to the transformer

Circuit Used

Series capacitor and diode

(32)
(33)

Pre-Flux 9 mWb (75% of Φ

r_max

)

Flux

Voltage

(34)

Pre-fluxed – Proper Switching Time (124 deg)

Voltage

(35)

Pre-fluxed – Proper Switching Time (124 deg)

Voltage

(36)

Future Work

Sensitivity Testing

Non-Ideal Pre-Fluxing

Non-Ideal Switching

(37)

0.01 0.005 0 0.005 0.01 0.015

1 0.5 0.5 1

Winding Voltage - Phase A System Voltage - Phase A Winding Voltage - Phase B System Voltage - Phase B Winding Voltage - Phase C System Voltage - Phase C

Winding Voltage Time (s) Vo lt ag e (p u)

0.01 0.005 0 0.005 0.01 0.015

1 0.5 0.5 1

Transient Flux - A Phase Prospective Flux - A Phase Transient Flux - B Phase Prospective Flux - B Phase Transient Flux - C Phase Prospective Flux - C Phase

Transformer Flux Time (s) F lu x (p u)

Ideal Three Phase, Three Pole Switching

Φ

r

=87% of Φ

max
(38)

Non-Ideal Pre-Fluxing

0.01 0 0.01 0.02 0.03 0.04

2 1 1

Transient Flux Prospective Flux

Flux - 3 Phase Case (190 deg)

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - 3 Phase Case (190 Deg)

Time (s) Vo lt ag e (p u)

0.01 0 0.01 0.02 0.03 0.04

2 1 1

Transient Flux Prospective Flux

Flux - 3 Phase Case (210 deg)

Time (s) F lu x (p u)

0.01 0 0.01 0.02 0.03 0.04

1 0.5 0.5 1 Winding Voltage System Voltage

Winding Voltage - 3 Phase Case (210 Deg)

Time (s) Vo lt ag e (p u)

Non-Ideal Pre-Fluxing/

Switching

(39)

Non-Ideal Switching– Demagnetized (114°, 24° error)

Voltage

(40)

Pre-fluxed – Proper Switching Time (124 deg)

Voltage

(41)

Future Work (Con’t)

Device Sizing

(42)

Referensi

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