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    Cost & Complexity Trade-offs inPrognostics

    Dr. Ir. M. Sabri, MT

    Condition Base Maintenance

    (CBM)

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    The Opportunity

    Condition BasedMaintenance (CBM)

    promises to deliverimproved maintainabilityand operational availabilityof naval systems whilereducing life-cycle costs

    The Challenge

    Prognostics is the Achilles heel of CBM systems - predicting thetime to failure of critical machines requires new and innovativemethodologies that will effectively integrate diagnostic results with

    maintenance scheduling practices

    Condition-Based Maintenance

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    Prognostics

    Objective Determine time window over which maintenance must be

    performed without compromising the systems operationalintegrity

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    The CBM Architecture

    5. FeatureExtraction

    5. FeatureExtraction

    4. FeatureExtraction

    4. FeatureExtraction

    Hardware Chiller Sensors DAQ

    Hardware Engine Sensors DAQ

    3. ModeEstimator /

    Usage Pattern Identification

    3. ModeEstimator /

    Usage Pattern Identification

    Central DB Event Dispatch

    Event Dispatch

    DatabaseManagement

    DatabaseManagement

    DWNN

    Virtual Sensor (WNN)

    CPNN

    failure dimension

    6. Prognostics

    Classifier (WNN)

    Classifier (WNN)

    Classifier (Fuzzy)

    Classifier (Fuzzy)

    5. Diagnostics

    PEDS Software System Architecture

    2. DataPreprocessing

    2. DataPreprocessing

    1. DDL

    1. DDL Interface

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    The CBM Architecture (continued)

    Diagnostic Models: Fuzzy Logic Based Wavelet Neural Network Model Rough Set Theory based NN Model

    Prognostic Models: Dynamic Wavelet Neural Network Model Confidence Prediction Neural Network Model

    Physical Models of Failure Mechanisms

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    Objec t Oriented HybridSystem Models

    Diagnostic Algorithms

    Prognostic Algorithms

    Static and DynamicCase Library

    S o

    f t w a r e

    R e p o s i

    t o r y

    System (FMTV, PLS,

    etc.)

    Sensors DAQ/CPU

    H a r d w a r e

    Interface

    Army Vehicle Systems

    Assessment Module

    Maintainer

    Designer

    Statistics Optimization Performance

    Prescription Maintenance

    Plan

    Communityof Agents Multiagent System

    M ul t i a g e n t S y s t e m

    Intelligent SelectionLayer

    Decision Support Layer

    Interface

    Layer

    I n t e l l i g e n t A g e n t

    Preliminary Diagnostics

    Online

    Offline

    /Components

    Model-Based CBM Architecture

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    Centralized Control & KBArchitectures

    UUT

    A Generic Central Control and Knowledge Base Framework

    Diagnostic

    Algorithm

    Prognostic Algorithm

    Control

    KnowledgeBase

    Diagnosis

    PrognosisSensors

    Events

    Preprocessing

    Data-mining

    FeatureExtraction

    UUTSensors

    Events

    UUTSensors

    Events

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    Distributed Control & KBArchitectures

    U U T

    UUT

    U U T

    Distributed Control and KnowledgeBase Framework

    Diagnosis

    Prognosis

    Diagnostic Algorithms

    Prognostic Algorithms

    CentralControl

    CentralKnowledge

    Base

    LocalDiagnostic Algorithms

    LocalPrognostic Algorithms

    LocalControl

    LocalKB

    L o c a l D

    i a g n o s t i c

    A l g o r i t h

    m s

    L o c a l P

    r o g n o s

    t i c A l g o r

    i t h m s

    L o c a l C

    o n t r o l

    L o c a l K

    B

    Lo c a l D i a g n o s t i c Al g o r i t h m s Lo c a l P r o g n o s t i c Al g o r i t h m s

    Lo c a l C o n t r o l

    Lo c a l K B

    Sensors

    Events

    S e n s o r s E v e n t s

    S e n s o r s

    E v e n t s

    Knowledge

    Fusion

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    Case-Based Reasoning &Learning

    CBR - an episodic memory of past experiences CBR - initial cases by examples CBR Methodology:

    Indexing (generate indices for classification and categorization)Retrieval (retrieve the best past cases from the memory)

    Adaptation (modify old solution to conform to new situation)Testing (did the proposed solution work)

    Learning (explain failed & store successful solutions)

    Case LibraryFailure Mode i

    SymptomsCase #

    S1 S2 SmTests Prescription

    123

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    On-board/Off-board Diagnostics

    OperationalPerformanceMonitoring

    PeriodicHealthCheck

    Operator

    Embedded Diagnostics

    Maintainer Pre-Diagnostic

    Session

    Diagnostic Session

    Post-DiagnosticSession

    AbnormalPerformance

    Detection

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    DiagnosticsManager

    Platform FamilyCase Library

    Platform Data

    Platform HistoricalRecords Database

    Current DiagnosticsSession Database

    Case BasedDiagnostics Reasoner

    Knowledge FusionModule

    Case-Based Reasoning Architecture

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    Sensor

    Pressure Sensor

    Thermocouple

    Current Shunt

    Fuel

    Subsystem

    Starter

    Battery

    EmbeddedDiagnostics Processor

    EmbeddedDiagnostics

    Interface

    Etc..Etc..

    Etc.. J-1708 1553

    1939 DCA

    PortableDiagnostics &Maintenance

    Aid

    SPORT

    MSD

    Support AreaDatabase

    Army CentralDatabase

    EmbeddedDiagnostics

    Interface

    EmbeddedDiagnostics

    Data Collector

    DiagnosticTest

    Updates (brief case model)

    ?

    * *

    *

    *

    Platform

    Legend: ( Unless OtherwiseAnnotated )

    Has

    Is

    * 1 or more

    ? 0 or more

    Interfaces

    Selects

    Uses

    Controls

    CAN

    InteractiveElectronic

    Technical Manual(GUI)

    Feeds

    Displays *

    MIMOSA

    DiagnosticsDatabase

    Updates

    DiagnosticsManager

    Platform FamilyCase Library

    Case BasedDiagnostics Reasoner Knowledge Fusion

    Module

    Feeds

    UsesUses

    Uses

    Uses

    At Platform Diagnostics SessionTopology (Legacy)

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    Performance Measures(How to Compare and )

    Measures

    Precision for Prognosis a measure of the narrowness of an interval in which the remaining lifefalls

    Reliability how the system responds to individual component failures

    Extensibility or Scalability how the system can be extended if new components are added

    Robustness how the system tolerates uncertainty

    Reuse or Portability how easy or hard it is to use this system in another problem domain

    Accuracy how an agent improves true positives and true negatives as a result of

    learning, self-organization, and active diagnosis Entropy a measure of how the system learns and organizes over time.

    Decreasing entropy signifies increasing order in a multi-agent system,resulting in more accurate and timely diagnoses

    Network Activity how much network related activity results if the framework isimplemented for distributed systems

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    Implementation IssuesEmbedded Distributed Diagnostic Platform (EDDP)

    Hardware: Modular I/O (e.g. NIs FieldPoint System, or MAX -IO). Embedded PC (e.g. MPC - Matchbox PC of TIQIT or MAX-

    PC of Strategic-Test).

    Network (e.g. Ethernet, PROFIBUS, CAN).

    Software: Windows CE, Linux, QNX, VxWorks, or OsX operating

    systems. Embedded databases (like Polyhedra). RAD tools (like eMbedded Visual Studio of Microsoft).

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    A Possible Agent Node

    Sensors Sensors Sensors

    Distributed I/O System(FieldPoint)

    Network (Ethernet, CAN, Profibus)

    A Small PC(MPC, MAX-PC)

    An Operator Interface(LCD Display)

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    PM1 PM2 PM3

    Algorithm #1 * * *

    Algorithm #2 * * *

    Algorithm #3 * * *

    Performance

    Assessment Matrix:

    CBM Performance Assessment

    Objective: To assess the technical and economic feasibility of various

    prognostic algorithms

    Technical Measures:

    Accuracy, Speed, Complexity, Scalability Overall Performance Measure:

    w1Accuracy + w 2Complexity + w 3Speed + (w i - weighting factors)

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    computation timetime to failure

    p d

    pf

    t t complexity E E

    t

    Overall Performance = w 1accuracy + w 2complexity + w 3cost + .

    Complexity/Cost-benefit Analysis

    Complexity Measure

    Cost/Benefit Analysis frequency of maintenance downtime for maintenance dollar cost

    etc. Overall Performance

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    Cost/Benefit Analysis

    Establish Baseline Condition - estimate cost of breakdown or time-based preventive maintenance frommaintenance logs

    A good percentage of Breakdown Maintenance costs

    may be counted as CBM benefits If preventive maintenance is practiced, estimate how

    many of these maintenance events may be avoided.The cost of such avoided maintenance events is countedas benefit to CBM.

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    Cost/Benefit Analysis (contd)

    Intangible benefits - Assign severity index to impact ofBM on system operations

    Estimate the projected cost of CBM, i.e. $ cost ofinstrumentation, computing, etc.

    Aggregate life-cycle costs and benefits from theinformation detailed above

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    CINCLANTFLT Study

    Question: What is the value of prognostics?

    Summary of findings:(1) Notional Development and Implementation for Predictive CBM Based on

    CINFCLANTFLT I&D Maintenance Cost Savings(2) Assumptions

    CINCLANTFLT Annual $2.6B [FY96$] I&D Maintenance Cost Fully Integrated CBM yields 30% reduction Full Realization Occurs in 2017, S&T sunk cost included Full Implementation Costs 1% of Asset Acquisition Cost IT 21 or Equivalent in place Prior to CBM Technology

    (3) Financial Factors Inflation rate: 4% Investment Hurdle Rate: 10% Technology Maintenance Cost: 10% Installed Cost

    (4) Financial Metrics: 15 year 20 year NPV $337M $1,306M IRR 22% 30%

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    Concluding Remarks

    CBM/PHM are relatively new technologies - sufficienthistorical data are not available

    CBM benefits currently based on avoided costs Cost of on-board embedded diagnostics primarily

    associated with computing requirements Advances in prognostic technologies (embedded

    diagnostics, distributed architectures, etc.) and lowerhardware costs (sensors, computing, interfacing, etc.)

    promise to bring CBM system costs within 1-2% of atypical Army platform cost

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    The Dynamic Case-BasedReasoning Architecture

    Model-based reasoner

    New case constructor

    Failure driven learning

    Indexing rules

    Phase matching evaluator

    Feature interpretation(static, dynamic, composite)

    Case indexing

    AS path PD path

    Case retrieval

    Case adaptation

    Test/evaluation

    Propagation evaluator

    Indexing path selection

    Case memoryactive inactive

    Model base

    Analytical Models and algorithms

    Sensory data

    Case similarity calculation

    Remembrance calculation

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    )exp()( R y DC accuracy real

    predictedreal

    lower bound

    upper bound

    time pt f t

    predictedreal

    DC

    R

    Accuracy

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    An Example

    A defective bearing with a crack causes the machine tovibrate abnormally

    Vibrations can be caught with accelerometers whichtranslate mechanical movement into electrical signals

    Bearing crack faults may be prognosed by examining and predicting their vibration signals

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    An Experimental Setup

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    0 100 200 300 400 500 600 700 800 900 1000-0.6

    -0.4

    -0.2

    0

    0.2

    0.4Figure 1 Original signals: normal & defective

    0 100 200 300 400 500 600 700 800 900 1000-4

    -2

    0

    2

    4

    6

    0 20 40 60 80 100 120 1400

    0.05

    0.1

    0.15

    0.2Figure 2 Spectra: good & defective

    0 20 40 60 80 100 120 1400

    2

    4

    6

    8

    10

    Vibration Signals from a good and a defective bearing PSDs of the vibration signals

    Vibration Signals Power Spectrum Densities

    Bearing Vibration Data

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    Growth of bearing crack fault

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    0 20 40 60 80 1000

    1

    2

    3

    4

    5

    6

    Time Window

    P S D

    0 20 40 60 80 1000

    1

    2

    3

    4

    5

    6

    7

    Time Window

    P S D

    Small variations are added

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    80 85 90 95 100 1050

    1

    2

    3

    4

    5

    6

    Time Window

    P S D

    80 85 90 95 100

    0

    1

    2

    3

    4

    5

    6

    Time Window

    P S D

    Prediction by AR Prediction by WNN

    Prediction

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    Table: Performances of the AR predictor and the WNN predictor

    Performance Measures

    TTF Error Rate

    Dynamic Error

    Time Dynamic

    Error

    Similarity Error

    Output Error

    Total Error

    Scaling Factor

    1.0 100.00 1.0 0.1 1.0 N/A

    Weighting Coefficients

    0.20 0.20 0.20 0.20 0.20 1.0

    AR Performance

    0.4275 0.5200 0.4074 0.3448 0.3200 2.0197

    WNN Performance 0.1855 0.5500 0.2684 0.2857 0.3200 1.6096

    Overall Performance Error:

    ---- 2.0197 for the AR predictor

    ---- 1.6096 for the WNN predictor

    Thus, the WNN outperforms the AR in this case

    Performance