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Dynamic Operability Analysis

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Architecting Networked Engineered Systems

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Abstract

In Chap. 2, we presented the DFDM framework for the design of Networked Manufacturing Systems (NMS).

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Abbreviations

\( t_{f}^{d} \) :

Desired response time

\( t_{f} \) :

Response time

\( t_{f}^{*} \) :

Shortest desired response time

\( y_{sp} \) :

Change in the requirements

d :

Change in disturbance

u :

Input points of AOS

y :

Output points of DOS

\( F_{i - 1} \) :

Feed flow rate

\( F_{i} \) :

Flow rate

\( V_{i} \) :

Volume

t:

Time

\( C_{Ai} \) :

Concertation of A

\( C_{Ai - 1} \) :

Feed concertation of A

\( k_{i} \) :

Reaction rate constant

\( \rho \) :

Density of A

\( c_{p} \) :

Heat capacity of A

\( T_{i} \) :

Reactor temperature

\( T_{i - 1} \) :

Feed temperature

\( \Delta H \) :

Heat of reaction

U :

Overall heat-transfer coefficient

\( T_{Ci} \) :

Jacket temperature

\( T_{C0} \) :

Coolant feed temperature

\( A_{i} \) :

Heat-transfer area

\( \rho_{C} \) :

Density of coolant

\( c_{pC} \) :

Heat capacity of coolant

\( V_{Ci} \) :

Volume of the jacket

\( F_{Ci} \) :

Coolant flow rate

E :

Activation energy

R :

Reference or nominal value

\( A_{si} \) :

Side heat-transfer area

\( A_{bi} \) :

Bottom heat-transfer area

\( A_{si}^{R} \) :

Reference side heat-transfer area

\( V_{i}^{R} \) :

Reference volume

\( x_{1i} \) :

Normalized reactor holdup

\( x_{2i} \) :

Concentration of reactor A

\( x_{3i} \) :

Reactor temperature

\( x_{4i} \) :

Coolant temperature

\( x_{4i} \) :

Coolant temperature

\( q_{i} \) :

Normalized flow rate

\( q_{Ci} \) :

Normalized coolant flow rate

\( \alpha_{i} \) :

Ratio of coolant flow rate and flow rate and

\( \mu_{i} \) :

Ratio of flow rate and coolant flow rate

\( \delta_{si} \) :

Thickness of side heat-transfer area

\( \delta_{bi} \) :

Thickness of bottom heat-transfer area

\( k_{0} \) :

Arrhenius constant

\( \Delta H \) :

Heat of reaction

ODF = 1:

Overdesign factor in the reactor volume obtain DIS

\( T_{i} \) :

Strong constraint

\( F_{Ci} \) :

Assumption

\( k \) :

Reactor rate constant at reactor temperature

\( Q_{\hbox{max} } /Q \) :

Controllability index of Luyben

\( \Delta T \) :

Temperature difference between jacket and reactor

\( \uplambda_{\text{ij}} \) :

The jth eigenvalue of ith reactor (i is omitted for single reactors)

i:

Reactor number

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Author information

Authors and Affiliations

  1. Systems Realization Laboratory, Division of Industrial Design, University of Liverpool, Liverpool, UK

    Jelena Milisavljevic-Syed

  2. Systems Realization Laboratory, School of Industrial and Systems Engineering, University of Oklahoma, Norman, OK, USA

    Janet K. Allen

  3. Department of Electrical and Biomedical Engineering, University of Nevada, Reno, NV, USA

    Sesh Commuri

  4. Systems Realization Laboratory, School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, OK, USA

    Farrokh Mistree

Authors
  1. Jelena Milisavljevic-Syed
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  2. Janet K. Allen
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  3. Sesh Commuri
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  4. Farrokh Mistree
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Corresponding author

Correspondence to Jelena Milisavljevic-Syed .

Glossary

ACRONES

Adaptable Concurrent Realization of Networked Engineering System

AIS

Achieved Input Space

AOS

Achieved Output Space

cDSP

Compromise Decision Support Problem

CSTR

Continuous single tank reactor

DAIS

Dynamic Available Input Space

DAOS

Dynamic Achieved Output Space

DDOS

Dynamic Desired Output Space

DFDM

Design for Dynamic Management

DIS

Desired Input Space

Disturbance Space

Space where system can be functional in the presence of disturbance

DOI

Dynamic Operability Index

DOM

Dynamic Operability Model

DOS

Desired Output Space

EDS

Excepted Disturbance Space

FI

Flexibility index

Functional System

System that is operable

MIMO

Multiple input multiple output

MTCP

Minimum Time Control Problem

NMS

Networked Manufacturing Systems

Operability Space

Space where system can be functional

Original System Design

New system design without existing specifications

RGA

Relative Gain Array

RHP

Right-half-plane

SISO

Single input single output

SSOM

Steady-State Operability Model

Variant System Design

System design with existing specifications

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Milisavljevic-Syed, J., Allen, J.K., Commuri, S., Mistree, F. (2020). Dynamic Operability Analysis. In: Architecting Networked Engineered Systems . Springer, Cham. https://doi.org/10.1007/978-3-030-38610-8_5

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  • DOI: https://doi.org/10.1007/978-3-030-38610-8_5

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  • Print ISBN: 978-3-030-38609-2

  • Online ISBN: 978-3-030-38610-8

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