- Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer –...

54
Fluke Thermal Imaging Company Confidential 1 Thermal Imaging - Scanning for Hot Spots - Criteria for Response Presented by: Alex Johnson Fluke Corporation

Transcript of - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer –...

Page 1: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 1

Thermal Imaging - Scanning for Hot Spots - Criteria for Response

Presented by:

Alex Johnson

Fluke Corporation

Page 2: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 2

Agenda

• Thermography

– What, Why and Where

• Applications

• How a Thermal Imager works – How Does an Imager Measure Temperature

– Thermography Physics and Heat Transfer

– Resolving detail and capturing a good image

• Additional training & support

• Questions?

Page 3: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 3

What is Thermography?

• It is the science of “seeing” temperatures by measuring the radiation emitted from a given surface and converting this data to a corresponding digital, or visual image

• Infrared radiation is emitted by all objects based on their temperature

– The amount of radiation increases with temperature

• Thermal imagers measure apparent surface temperatures

Page 4: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 4

Why use Thermal Imaging?

• Hot or cold areas, or thermal anomalies, often are a strong indicator of equipment health.

• Allows maintenance personnel to work safely becoming more proactive and less reactive.

Page 5: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 6

What to look for?

• Perform preliminary scan prior to entry.

• Follow applicable safety guidelines: NFPA 70E, OSHA 1910.269

• Follow recommended procedures: NFPA 70B

• Transformers

– Bushings

– Elbows

– Cooling tubes, fans

– Connections

• Splices

• Breakers/fuses/clips

• Contacts

• Buss and stub connections

• Fan motors, pumps, belts

• Measure and document loading

Page 6: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 7

Possible causes

•Transformers and components overheat due to: – Loose or contaminated connections

– Unbalance

– Overloading

– Harmonic distortion

– Restricted oil flow in cooling tubes

– Failed cooling fans/pumps

– Insulation failure

Page 7: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 8

Document findings

• Create inspection routes

• Save images and track temperatures over time.

• Compare baseline images to later images.

• Validate corrective actions with additional scans.

Page 8: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 9

What represents a “red alert”?

• Equipment conditions posing safety risk receive priority

• Transformers operating above max. ambient temperature – Typical max. operating ambient temp is 40°C (104°F)

– Typical temp rise at full load: 80°C for dry type and 55°C for liquid-filled

– A 10°C (18°F) rise above max. operating temp reduces xfmr life by half

• NETA* guidelines on equipment and connections: – ∆T exceeding 15°C (27°F) should receive immediate attention

• For similar components and loading conditions

– ∆T between components and ambient air exceeding 40°C (72°F)

*InterNational Electrical Testing Association

Page 9: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 10

Suggested action guideline*

Temperature difference (ΔT)

between similar components

under similar loading.

Temperature difference (ΔT)

between component and

ambient air temperatures. Recommended Action

1°C - 3°C 1°C - 10°C Possible deficiency; warrants

investigation

4°C - 15°C 11°C - 20°C Indicates probable deficiency;

repair as time permits

------ 21°C - 40°C Monitor until corrective

measures can be

accomplished

>15°C >40°C Major discrepancy; repair

immediately

* Based on NETA guidelines

Page 10: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 11

T & D application examples

Page 11: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 12

Substation regulators

Note

temperature

difference

Page 12: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 13

Substation transformers

13

Page 13: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 14

Hot bushing

Page 14: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 15

Some cooling

tubes appear to

be plugged

Transformer Cooling

Page 15: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 16

Transformer elbows Note temp difference

~30 F

Page 16: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 17

Vault phase conductors

Page 17: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 18

Vault phase conductors

Page 18: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 19

Pad-mount transformers

Look for consistent

temperatures across

all elbows

Page 19: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 20

20

Transformers elbows

Look for problems in both internal and external

connections

Page 20: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 21

Vault fan motor

Internal motor temp is ~36 F hotter

Page 21: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 22

Pole transformer

Page 22: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 23

Transformer

problem easily

identified from a

distance using

telephoto lens

Pole transformer connection

Page 23: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 24

Utility Connection

Page 24: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 25

Electrical panels and circuits

• Overloaded systems or

excessive current

• Loose or corroded

connections

• Component failures

• Wiring mistakes

• Under-specified components

• Power quality problems like

phase unbalance, overload

or harmonic distortion

• Insulation failures

Image shown here is Picture-In-

Picture (PIP) mode where center ¼

of image is IR surrounded by ¾

visible

Page 25: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 26

Thermography helped distinguish between

loose connection and overloaded circuit

Overloaded

circuit fuse

hot on both

ends

Loose

connection,

fuse hot on

one end only

•Courtesy of Snell Infrared

Page 26: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 27

IR inspection windows

IR windows provide faster, safer equipment inspections

• High-voltage Switchgear

• Medium-voltage Switchgear

• Dry-Type Transformers

• Motor Control Centers

• Other areas where Arc Flash Hazard exists

Page 27: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 28

Infrared Radiation

• Infrared radiation is electromagnetic radiation with wavelengths longer than visible light but shorter than microwaves

• Infrared radiation is radiated heat that cannot be seen by our eyes but can be sensed by our skin

• All objects, whatever their temperature, emit infrared radiation

• The intensity of infrared radiation depends on the temperature and a surface property termed “emissivity”

• When an object reaches approximately 644 C(1200 F) visible light is emitted

Page 28: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 29

Infrared spectrum

IR atmospheric transmission bands

Long-wave 8-14µ Mid-wave 2-6µ

Infrared µwave Radio Ultra-

violet X-rays

Gamma-

rays

Visible light

Page 29: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 30

Three Modes of Heat Transfer

• Radiation is the transmission of electromagnetic rays through space

– Each material that has a temperature above absolute zero (-460°F) emits infrared radiation,

• Conduction is direct heat flow through matter

– Fun fact: Notice how metal feels cold? We perceive this as “cold” as the metal takes energy away from your hand.

• Convection is the transport of heat within a gas or liquid

– Cold air drops so A/C vents are high

– Warm air rises so heating vents are usually down low

Page 30: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 31

Reflection, Absorption and Transmission

•What happens when IR radiation strikes a surface?

Page 31: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 32

Reflection, Absorption and Transmission

• When IR radiation strikes an object surface only three things can happen

– Some can be reflected ( )

– Some can be absorbed as heat ( )

– Some can pass through the object ( )

• From 1st Law of Thermodynamics

+ + = 1

• From Kirchhoff’s Law: emissivity ( ) = absorptivity ( ) Therefore + + = 1, for opaque surfaces = 0

ρ

Page 32: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 33

Radiometric measurements Radiosity

• Radiation can be transmitted through a surface

– Our IR camera lens, for example

– Does not change the temperature of the surface!

• Radiation can be reflected off a surface – Remember our glass window example?

– Does not change the temperature of the surface!

• Radiation can be absorbed and re-emitted – Amount of energy absorbed = re-emitted

– This is what we measure with our IR camera!

• Reflected + Absorbed + Transmitted = 1 – Known as the RAT law

– Can also say R+E+T=1 Reflected

Transmitted

Absorbed

Re-emitted

Page 33: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 34

Radiometric measurements

0.03 Reflected

0.97 Re-Emitted

T=0

0.60 Reflected

0.40 Re-Emitted

T=0

• The camera sensor detects infrared radiation

• Only the emitted radiation tells us about surface temperature.

• Different surfaces absorb and emit radiation differently – this is called “emissivity”

• Adjusting emissivity value and background temp improves accuracy.

Page 34: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 35

Emissivity (ε )

•Pronunciation: "Em`is*siv"i*ty ”

•Definition: scientific measurement of the ability for absorbed heat energy to radiate (leave) an object as compared to a black body at the same temperature

– a true black body radiates 100% of its absorbed energy (nothing is reflected or transmitted) so the ε = 1

– A perfect reflector would have an ε = 0

•Materials that are not black bodies only radiate a fraction of the radiation as a black body at the same temperature and wave length so the ε is <1

Page 35: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 36

Selecting the Correct Emissivity Value

• Rules of thumb – Use 0.95 for all painted target surface independent of color

– If unpainted or un-corroded metal use 0.2 or lower

– Reliable measurements when emissivity is > 0.6

– Known or controlled background temperature

– Apply tape or paint to increase emissivity

• Values for common materials are found in the imager owners manual, in the PC software, internet sources and on some Imagers

• If the target emissivity is unknown use the Imager to measure it

– Use the tape method

Page 36: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 37

Emissivity of Target Surfaces

Emissivity Values (samples)

Aluminum, polished 0.05 Platinum 0.08

Brick 0.85 Rubber 0.95

Bronze, polished 0.10 Snow 0.80

Bronze, porous 0.55 Steel, galvanized 0.28

Copper, oxidized 0.65 Steel, rolled 0.24

Copper, oxidized to black 0.88 Steel, rough 0.96

Skin 0.98 Tin 0.05

Nickel 0.05 Tungsten 0.05

Paint 0.94 Water 0.98

Paint, silver finish 0.31 Zinc, sheet 0.20

Page 37: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 38

Thermal Capacitance

• The amount of energy an object needs to absorb or release in order to change temperature

– Water heats and cools slowly because of its high heat capacity

– Air heats and cools rapidly because of its low heat capacity

• How quickly this change takes place depends on thermal capacitance and thermal conductivity – not time.

• Which has the highest thermal capacitance?

– Copper

– Steel

– Brick

– Wood

– Water

Page 38: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 39

Be aware: wind can effect temperature

85F 76F 72F

15 mph wind T = 13F

117F 95F 81F

No wind T = 36F

Page 39: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 41

Best practices for a good image

• Composition

• Focus

• Level and Span

• Palette

• Distance – IFOV/IFOVmeas

• System load

• Camera settings

• Calibration

Page 40: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 42

Qualitative vs. Quantitative Inspections

Qualitative

• You don’t need to know the temperature to see there is a problem

• Very intuitive

• Easy to see variations from the norm

Quantitative

• Requires radiometric (temperature reading)

• Ability to compare to established limits

• Track even slight variations

• Must measure under known loading conditions

•Courtesy of Snell Infrared

•Courtesy of Snell Infrared

Page 41: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 43

Focus is CRITICAL

• IR imager focus is less sharp than a visible camera

• Best focus is critical for accurate temperature measurements

• Anything but focus can be modified/optimized later with PC software

• Look for edges

• Use IR-Fusion

Page 42: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 44

Thermal imagers vs. Spot radiometer

It’s like having Thousands of infrared thermometers in one instrument

When a thermal imager captures an image, all the background data is also saved along with the picture allowing in-depth post processing analysis.

Page 43: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 45

IR thermometer Distance-to-Spot ratio

1’

30’

Distance-to-Spot Ratio (D:S) is distance from instrument to the object compared to the size of the spot being measured

30:1

Page 44: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 46

Imager IFOV or Spatial Resolution

• Smallest detail seen by imager.

• Determined by imager’s optics and detector.

• Specified in milliradians or mRad (1 mRad = 0.0573°)

• D:S = 1/IFoV (in radians)

Example: IFoV= 1.25 mRad (0.072°) per pixel

30’

0.45”

800:1

Page 45: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 47

FOV, IFOV, IFOVmeas

• 320x240 imager

Page 46: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 48

FOV, IFOV, IFOVmeas

• 160x120 imager

Page 47: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 49

Checking calibration

• Routinely check basic calibration before each scan.

• Here are a few simple test you can perform

– Check the tear duct of a work partner (recommend the same person)

– Check an ice bath to verify camera performance at 0º C

– Check boiling water to verify camera performance at 100º C

– Acquire a blackbody reference in one of your common temp ranges

Page 48: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 51

Choosing an IR Camera

•Where will it be used?

•How will it be used?

•Considerations: – Detector Size (Pixels)

– Thermal Sensitivity (NETD)

– Ease of Use

– Ruggedness & reliability

– IR Fusion Technology

– Screen Size & FOV

– Software

– Total Cost of Ownership

Page 49: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 52

Selecting the Detector Array Size Depends on the Application

•Target size needed in a single image

•Target distance

•Spatial resolution (spot size)

•Temperature measurement accuracy

•Budget

Page 50: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 53

What is IR-Fusion® ?

• IR-Fusion links the Thermal Image with the Visual Image

– Easier to understand what you are looking at

• See the context

• Read any markers/labels/text

– Easier to report findings to others

• No need to also take a picture with a normal camera

– Helps you focus the Thermal Imager better

• The Thermal Imager is focused correctly when the Thermal and Visual images are completely aligned

Page 51: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 54

Thermal Imagers for Industrial Applications

Performance

Ti32

Ti27

Ti29

Ti125

Ti110

Ti100 (160x120)

(240x180)

(320x240)

(280x210)

(160x120)

(160x120)

Pri

ce

$2k

$8k

Page 52: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 55

PC Software - SmartView

Software provides image:

– analysis

– enhancement

– annotation

– archiving

– report generation

Page 53: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 56

Additional training and information

• Fluke Thermal Imaging Training Center

– www.fluke.com/titraining

• Hands-On Seminars

• The Snell Group:

– Online Training

– Level 1, 2 & 3 Thermography Training

– Application Specific Training

– www.snellgroup.com

• Application Notes

Page 54: - Scanning for Hot Spots - Criteria for Response · – Thermography Physics and Heat Transfer – Resolving detail and capturing a good image ... Fluke Thermal Imaging Company Confidential

Fluke Thermal Imaging Company Confidential 57

Thanks for attending!

Questions?