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High Temperature Electrochemical Sensors for In-situ Corrosion Monitoring In Coal- Based Power Generation Boilers DOE Award DE-FE0031548 Xingbo Liu 1 , Tianliang Zhao 1 , Liang Ma 1 , Greg Collins 1 , Debangsu Bhattacharyya 1 , Brandon Rumberg 2 , Jared Custer 3 , Chad Hufnagel 3 1. West Virginia University; 2 Aspinity, 3, Longview Power April 12, 2019

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Page 1: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

High Temperature Electrochemical Sensors for In-situ Corrosion Monitoring In Coal-

Based Power Generation Boilers

DOE Award DE-FE0031548

Xingbo Liu1, Tianliang Zhao1, Liang Ma1, Greg Collins1, Debangsu Bhattacharyya1, Brandon Rumberg2, Jared Custer3, Chad Hufnagel3

1. West Virginia University; 2 Aspinity, 3, Longview Power

April 12, 2019

Page 2: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

OUTLINE

Technical Background Project Objectives Field Test Results Lab-Scale Sensor Optimization Corrosion Database Development Techno-Economical Analysis Progress Summary and Future Work

Page 3: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Coal Ash Corrosion Mechanism

Ash

Oxide Scale

Metal

Ash deposition

Molten Salt

Formation of molten alkali iron sulfates

(Na, K)3Fe(SO4)3 and fluxing away of protective

oxide film

Direct reaction betweenbare metal and reduced

sulphate species

Oxidation in Cr,Ni-rich regions

External Sulfidation in Cr,Ni-rich regions

Internal Sulfidation in Ni,Cr-rich regions

Page 4: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Self-Powered Wireless-Ready Electrochemical Sensor For In-Situ Corrosion Monitoring of Coal-Fired A-USC Boiler Tubes DoE Award No. DE- FE0005717 Funded by NETL – Coal Utilization Science Program (2010-2015) Team: WVU, Special Metals, International Zinc Association, Western

Research Institute

Page 5: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Oxygen and Sulfur Diffusion During Oxidation & Sulfidation Stages

Oxidation in Cr,Ni-rich regions

External Sulfidationin Cr,Ni-rich regions

Internal Sulfidation in Ni,Cr-rich regions

Page 6: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Evaluation of Corrosion Kinetics via EN Technique

Page 7: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

INCONEL 740 alloy + 850 °C + Thin coal ash + without /with SO2

Reproducibility of Potential and Current Signals During Oxidation and Sulfidation

Page 8: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

FIVE Typical Noise Signals Measured in the Coal Ash Hot Corrosion Process

The noise signature of a gradual potential continuously changing in thenegative region (Noise Signature I) corresponded with the Oxidation StageThe noise signature of quick potential continuously approaching morepositive values (Noise Signature II) correlated to the External Sulfidation Stage.The noise signature of positive potential fluctuating randomly in a narrowrange (Noise Signature III) corresponded with the Internal Sulfidation Stage

The noise pattern of the noise signature of current fluctuating with nosudden spike correlated to the Low Extent of Oxidation/Sulfidation (NoiseSignature IV).The noise pattern of sudden change in current values followed by slow or norecovery corresponded with the Accelerated Oxidation/Sulfidation (NoiseSignature V). These signatures can be seen clearly at 750 °C, in the flue gaswithout SO2 as well as deep coal ash.

Electrochemical Current Noise Signals

Electrochemical Potential Noise Signals

Page 9: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Corrosion sensor

Sensor Testing @ Prototype Boiler

Wireless Sensing System for Concurrent Potential and Current Signals Measurement

Technology Readiness Level - 5

Page 10: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Project Objectives

To validate the effectiveness of the Recipient’s lab-scaleelectrochemical sensor for high temperature (HT) corrosionin coal-based power generation boilers;

To optimize the Recipient’s HT sensor (currently attechnology readiness level TRL-5) to reach TRL-6;

To develop a pathway toward commercialization of suchtechnology.

DOE Award DE-FE0031548

Page 11: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

11

Planned Tasks & Deliverables

Y1-Q1, finish updating PMP Y1-Q4, demonstrate the high temperature corrosion sensor can withstand the harsh environment in Longview’s A-USC boiler. Y2-Q2, complete the NPV model and uncertainty analysis Y2-Q4, complete the electrochemical and corrosion database and model construction Y3-Q2, complete the NEMS model and economic analysis

ID Task Year 1 Year 2 Year 3

Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 Q1 Q2 Q3 Q4 1 Project management

2 Sensor development & optimization 2.1 Design & construct sensors 2.2 Sensor packaging 3 Signal processing & communication instruments

4 Corrosion sensor testing @ Longview Power’s boiler 4.1 Sensor placement and installation

4.2 Sensor testing

4.3 Post-mortem analyses

5 Corrosion monitoring software & database development 5.1 Lab-scale sensor optimization 5.2 Electrochemical and corrosion monitoring validation 5.3 Post-mortem analysis 5.4 Database and predictive model development 5.5 Software development 6 Tech-transfer & commercialization 6.1 NPV model & uncertainty analysis 6.2 NEMS model and economic analysis 6.3 Commercialization pathway development

Page 12: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Testing @ Longview PowerLocation Monongalia County

near Maidsville, WVStatus OperationalCommission date 2011Owner(s) Longview Power

Thermal power stationPrimary fuel Coal and natural gasType Steam turbine

Power generationNameplate capacity 700 MW

• Officially a "zero discharge" power plant in WV• Includes a new air pollution control system that results in emissions that

are Among the lowest in the nation for coal plants.• Emits less CO2 than most other coal plants because of its fuel efficiency

Page 13: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Testing Locations

1

2

Fire sideWaterwall

Superheater

①Superheater/Reheater tubes:High Temperature and Pressure,Deposit-induced molten salt corrosion,Made of nickel, inconel alloys or fire-resistantstainless steel.②Waterwall tubes:Relatively low temperature,Mainly made of carbon steel,High corrosion rate but low maintenance cost;

Page 14: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Passive Sensor Design

Page 15: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Placing and Installation-Passive Sensor

Bolt-like passive sensor installed on the membrane between tubes for both the waterwall and superheater.

Page 16: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

ECN Corrosion Sensor Design

WE1WE2WE3

RE

WE1

Potential noise

WE2

RE

Current noise

WE1

Signal recording

Air flow

Air flow

Compressed air

Air cooling system designed tocontrol the sensor temperature

Page 17: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Packaging

Corrosion sensor installed at the superheater/reheater

Page 18: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Placing and Installation-ECN Sensor

ECN sensor system installed through the observation port near superheater (11th floor of the boiler). The temperature was controlled at around 548 , which is the temperature of superheater fireside.

Page 19: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Predictive Model Development-Calculations of Corrosion Kinetics①Electrochemical Noise:as the main method to monitor the corrosion rate.

corrp

AVR

= vn

i

R σσ

=0

lim vsn f

i

PSDRPSD→

=or

②Electric Resistance (ER): as the method to verify the results of ECN.

( ) ( )corrf t V h tΩ = → =③Passive Sensor (Weight Loss): as the method to calibrate the results of ECN.

0

T

corr corrH V dt= ∫④Surface analysis: SEM, EDX, 3D OM, et al. to verify the corrosion behavior and mechanism.

Determined by Stern coefficient

Page 20: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Field Measurement Results-PDP curves

The potentiodynamic polarization curves measuredat the waterwall place (400ºC) and the superheaterplace (548ºC).

Locations Anodic tafel slope,α(mV/decade)

Cathodic tafel slope, β(mV/decade)

Stern-Geary coefficient, B (mV)

Waterwall 1034.40±224.51

145.30±3.25

127.40

Superheater 810.08±159.98

200.49±17.72

160.71

10-9 10-8 10-7 10-6 10-5 10-4-1.0

-0.5

0.0

0.5

1.0

1.5

2.0

2.5

E (V

)

i (A⋅cm-2)

Waterwall, 400°C Superheater, 548°C

3.27 ,corrp n n

A A B MV BR R n R

αβρ α β× ×

= ≈ = =× × +

For Fe→Fe3+, n=3, ρ=7.8 g/cm3, M=56 g/mol

Page 21: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Field Measurement Results-ECN Data

-1000

-500

0

500

1000

0 2 4 40 50 60 70 80 90 100-150-120-90-60-30

0306090

Sensor breakdownBoiler downtime

E (m

V)

Data missing

i (µA

⋅cm

-2)

Elapsed time (days)

The electrochemical noises measured at thewaterwall place (400ºC) since Nov. 19th 2018.

The electrochemical noises measured at thesuperheater place (548ºC) since Nov. 19th 2018.

Typical sharp transient peaks indicate the quick occurrence andrecovery of pitting corrosion.

-200

-150

-100

-50

0

50

100

150

0 2 4 20 30 40 50 60 70 80 90 100-14-12-10

-8-6-4-202468

1012

E (m

V)

Data missing Boiler downtime

i (µA

⋅cm

-2)

Elapsed time (days)

Page 22: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Field Measurement Results-Data Processing

The ECN data were converted into corrosion indexes and corrosion rate by using Matlab. We hope that the data could be converted and displayed in real time.

Page 23: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Field Measurement Results

01x1052x1053x1054x1055x105

0.001

0.01

0.1

1

0 2 4 40 50 60 70 80 90 1000.00.51.01.52.02.53.0

R n (Ω

⋅cm

-2)

Data missingBoiler downtime

Uniform corrosion

Mixed corrosion PI

Localized corrosion

V cor

r (m

m/a

)

Elapsed time (days)

0.05.0x105

1.0x106

1.5x106

2.0x106

0.001

0.01

0.1

1

0 4 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96 1000123456

R n (Ω

⋅cm

-2)

Data missing Boiler downtime

Uniform corrosion

Mixed corrosionPI

Localized corrosion

V cor

r (m

m/a

)

Elapsed time (days)

Corrosion indexes calculated from theelectrochemical noises measured at the waterwallplace.

(Rn represents the corrosion resistance, PI represents the localized corrosion tendency, Vcorr represents the corrosion rate.)

Corrosion indexes calculated from theelectrochemical noises measured at the superheaterplace.

Some corrosion details can be seen from these corrosion indexes.

Page 24: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Field Measurement Results – Corrosion Rates

01234 40 50 60 70 80 90 1000.000

0.005

0.010

0.015

0.020

0.025

Boiler downtime

Cor

rosi

on d

epth

, D (m

m)

Elapsed time (days)

Data missing

Sensor breakdown

01234520 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100

0.00

0.02

0.04

0.06

0.08

0.10

0.12

Boiler downtime Cor

rosi

on d

epth

, D (m

m)

Elapsed time (days)

Data missing

Time dependence of the accumulated corrosiondepth calculated from the electrochemical noisesmeasured at the waterwall.

Time dependence of the accumulated corrosiondepth calculated from the electrochemical noisesmeasured at the superheater place.

Page 25: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Modified RE

347 SS Pt.Coal ash

0 1x103 2x103 3x103 4x103-10

-8

-6

-4

-2

0

2

4

6

8

10

900°C, 0 h

Pote

ntia

l (m

V)

Elapsed time (s)

0.0 2.0x103 4.0x103 6.0x103 8.0x103 1.0x104 1.2x104-10

-8

-6

-4

-2

0

2

4

6

8

10

900°C, 20 h

Pote

ntia

l

( mV

)

Elapsed time (s)

The potential difference between the two identical REs measured at the initial time

ΔE<10 mV

The potential difference between the two identical REs measured after 20 hours.

Lab-Scale Sensor Optimization

Page 26: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

-2.0x103 0.0 2.0x103 4.0x103 6.0x103 8.0x103 1.0x104 1.2x104 1.4x104

440

445

450

455

460

465

470

900°C

OC

P

( mV

vs.

Ag/

Ag 2

SO4)

Elapsed time (s)10-11 10-10 10-9 10-8 10-7 10-6 10-5 10-4

-500

0

500

1000

1500

2000

2500

3000 900°C, 0 h 900°C, 6 h

E (m

V v

s. A

g/A

g 2SO

4)

i (A⋅cm-2)

The OCP of 347 stainless steel measured with modified RE in coal ash

The PDP curves of 347 stainless steel measured with modified RE in coal ash

Tests verified that the custom-designed RE can be reliable.

Lab-Scale Sensor Optimization

Page 27: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

The new-made sensor using the modified RE and the ceramic casting powder works well during 72 hours at 1000 ºC. The durability still needs to be verified on site in the boiler.

0 10 20 30 40 50 60 70 80-6

-4

-2

0

2

4

E (V

)

Elapsed time (h)

1000°C for 72 h

25°C up to 1000°C 1000°C down to 25°C(a)

0 10 20 30 40 50 60 70 80

-0.1

0.0

0.1

0.2

0.3

0.4

1000°C down to 25°C25°C up to 1000°C

1000°C for 72 h

i (µ A

⋅cm

-2)

Elapsed time (h)

(b)After running for 72 h under 1000 with samples cooled down to 500

Lab-Scale Sensor Optimization

Page 28: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Techno-Economic Analysis - Motivation

• As per State of Reliability (SOR) report by North American Electric Reliability Council (NERC), waterwall failure accounts for about 6-7% of the production lost due to forced outages over past several years.

• Revenue lost due to forced outages in larger power plants is significantly higher than the smaller ones. For example, the loss in revenue in 2015 in a 1000 MW power plants was about 5 times than that of a 300 MW plant (NERC GADS, 2016). Thus large power plants such as Longview is an ideal candidate.

Impacts of efficiency, availability and capital cost (Krulla et al. NETL Report, DOE/NETL-342/03082013, 2013)

Page 29: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Sensor Model Development

Estimator DevelopmentNEMS

Optimal Sensor Network Synthesis

Algorithm

NERCSOR

Report, VentyxVelocity Suite

Techno-EconomicMeasures

(Number of sensors and their locations,

NPV, etc.)

NEMS projects the production, consumption,

and prices of energy, subject to various

assumptions. The projection horizon is approximately 25

years into the future.

Provides historical data related to

performance and analysis of electric

generating equipment. (Data related to forced

outages and their causes)

Optimal filters that use the measurements from corrosion

sensors along with a corrosion rate model to estimate the spatial and temporal profile of corrosion in the

water wall section.

TEA - Approach

Page 30: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

Comparison of experimental vs model corrosion rates at different temperatures and partial pressures of SO2

Model developed using the experimental corrosion data for nickel in argon-sulphurdioxide atmosphere*

*Wootton, M. R. and Birks, N., “The Oxidation of Nickel in Atmospheres Containing Sulphur Dioxide “, Corrosion Science, 12, 829, (1972).

Region I Region II Region III475 – 580 oC 590 – 790 oC 800 – 900 oCThe reaction of Ni metal with SO2increases with the temperature, up to a maximum value. NiO, NiSO4 & Ni3S2 are corrosion products

Ni3S2 and Ni form aeutectic mixture. The presence of protective NiO and eutectic mixture slow down sulphidation. Hence, there is a drop in the corrosion rate.

Ni3S2 is no longer stable and melts. Cr present in metal is transported to surface. Cr oxidizes to form protective scale Cr2O3, hence no significant hot corrosion occurs.

TEA – Sensor Model Development

Page 31: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

TEA - Estimator Development

Filter estimate for noisy measurement data and missing measurements.

• Various optimal linear and nonlinear filtering algorithms have been developed for estimation in the face of missing and/or noisy measurements.

• Example results using a nonlinear estimator for a heat exchanger (representing a superheater) shows that even though there is high measurement noise, the estimation is were not available at certain time instants (5 of them).

Missing measurements

Page 32: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

TEA - Cost-Optimal Sensor Network Synthesis Algorithm

• A cost-Optimal sensor network synthesis algorithm is being developed.

• The objective function takes into account the capital cost of sensors including installation while considering the improvement in plant profitability due to the increased availability because of the installation of the corrosion sensors.

• The integer programming problem is solved by using a genetic algorithm.

Page 33: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

TEA - Future work

• Corrosion model will be validated with the recently obtained in-house experimental data.

• The estimator framework will be completed for corrosion for the water wall section.

• Optimal sensor network will be synthesized. To this end, information from the NEMS software will be extracted to obtain the cost of improved availability.

• Techno-economic analysis will be conducted for the optimal sensor network.

Page 34: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

SUMMARY & FUTURE WORK

Progress-to-date 1st generation sensors has been installed @ Longview Data obtained seems to be stable & reasonable Software to directly convert electrochemical signal to corrosion rates has

been developed. Real time corrosion monitoring realized Lab-scale RE development and corrosion database development are ongoing

Future work Continue optimizing the design and materials. Incorporate the new RE in the sensor. Install the sensor on the sites where corrosion occurs most severely. Design and fabricate a wireless communication set for the interface unit. Continuing database development.

Page 35: High Temperature Electrochemical Sensors for In-situ ... · Lab-Scale Sensor Optimization ... Situ Corrosion Monitoring of Coal-Fired A -USC Boiler Tubes DoE Award No. DE - FE0005717

AKNOWLEDGEMENT

DoE-NETL: • DE-FE5717: Bob Romanosky, Susan Maley, Chuck Miller, etc.• DE-FE 31548: Briggs White, Sydni Credle, Jessica Mullen, etc.

Collaborators and Partners: • WRI - Don Collins, Vijay Sethi • Special Metals - Jack deBarbadillo, Brian Baker, Gaylord Smith• ILZRO - Frank Goodwin• NETL-Albany - Paul Jablonski, Jeff Hawk, Gordon Holcomb, Dave

Alman etc.