Mill Models

    Physics Models for Steel Operations

    Operations models are designed to give steel operations and research leaders a digital environment to explore how mills, products, and process limits interact — offline, without touching production.

    Expose bottlenecks and performance limits to guide engineering priorities
    Support capital decisions with your own mill's product mix
    Align R&D with measurable plant outcomes

    In development: a hot strip mill finishing-mill model is being implemented now

    What Is an Operations Model?

    First-Principles Physics, Built for Decisions

    An operations model is a first-principles physics model of a production unit, built and tuned for your mill's equipment, products, and data.

    Optimizing production

    Find what limits throughput for each product and test changes offline before they reach the floor.

    R&D and quality analysis

    Explore how grades, gauges, and temperatures interact with the limits of your equipment.

    Engineering and leadership decisions

    Give engineers and managers one physics-based view of what the mill can do.

    The Mill Model Family

    Models by Production Unit

    Models are grouped by the production unit they serve. Each one is built and tuned for the specific line it will describe.

    Hot Strip Mill

    • CapabilityIn development
    • ProductivityIn development
    • EfficiencyEarly development
    • Pacing In development
    • Finishing MillIn development
    • CoilingPlanned
    • FurnacePlanned

    Cold Mill

    • CapabilityEarly development
    • ProductivityIn development
    • SetupIn development

    Every operations model is built and tuned for a specific mill. Ask us which models fit your line and where development stands.

    Cold Mill Models

    A Cold Rolling Mill Model Library

    Our cold mill models share one set of physics, units, and interfaces, so setup, shape, and productivity studies all build on the same roll bite calculations. The models are verified against analytical solutions and have been validated against plant data from about ten plants.

    Roll bite

    Roll force, torque, and forward slip with roll flattening and elastic entry and exit zones, plus a non-circular arc model for thin hard strip, last stands, and temper rolling.

    Model adaptation

    Inverse models that back-calculate flow stress — and flow stress with friction — from measured roll force and forward slip.

    Tandem mill setup

    Stand reductions and interstand tensions that balance motor loads within force, unit force, and torque limits, with sheet and tin rolling modes.

    Strip shape and flatness

    Roll stack deflection with strip profile and flatness for 4-high and 6-high stands, including work and intermediate roll bending, roll shifting, and CVC rolls.

    Roll thermal crown

    Transient roll temperature and thermal crown, including heat exchange between rolls in the stack, feeding the shape model.

    Productivity

    Throughput for batch tandem, reversing, and continuous tandem mills, including weld slowdowns and entry section and accumulator limits.

    Inside the Application

    The Throughput Analysis Application

    Screenshots from the Mill Models throughput analysis for a hot strip mill, run on a synthetic example mill and product. Single-bar mode follows one bar through the finishing mill; range mode sweeps exit thickness to find peak throughput and the bottleneck at each gauge.

    Single-bar mode

    One product at one finishing gauge: throughput, the limiting area of the mill, the finishing mill speed curve, and stand-by-stand loads.

    Results Summary card showing the physics model throughput of 1340.4 tons per hour, with the finishing mill as the bottleneck and a 69.9 second cycle time
    Throughput, bottleneck, and cycle time for one bar.
    Mill Speed Curve chart of F7 exit speed in feet per minute over time in the finishing mill cycle, accelerating to a maximum speed hold and then decelerating
    Finishing mill speed curve over the bar cycle.
    Stand Data table for stands F1 to F7 listing exit gauge, roll force, motor power, torque, current, temperature rise, RMS current, roll speed, motor speed, exit temperature, and inter-stand cooling flow
    Stand-by-stand gauge, force, motor load, speed, and temperature.

    Range mode

    A sweep across finishing exit thickness: peak throughput, where it occurs, and which area of the mill limits each gauge.

    Peak Results card showing a peak of 1405.8 tons per hour at 0.130 inch, limited by coiler pace, with a 66.7 second cycle time
    Peak throughput across the range and its bottleneck.
    TPH Trendline chart of throughput against finishing mill exit thickness from 0.07 to 0.25 inch, finishing mill limited below about 0.13 inch and coiler limited above it, peaking at 1406 tons per hour
    Throughput by exit thickness, shaded by the limiting area of the mill.

    Screenshots from the in-development application on a synthetic example mill and product, not a customer's equipment or data. Results depend on each mill's equipment, products, and practices and are not a performance guarantee.

    A Different Kind of Model

    Operations Models vs. Traditional Setup Models

    Setup models run the mill. Operations models are built to study it.

    Operations models

    • Built for offline analysis
    • Made for operations, R&D, and engineering teams
    • High-volume capability and throughput testing
    • Throughput estimates by product, gauge, and temperature

    Traditional setup models

    • Built for online Level 1 / Level 2 production control
    • Process one or two products at a time
    • Few operations or capability features
    • Can't be slowed down by extra analysis functions

    What It's Built For

    Questions Operations Models Are Built to Answer

    Where is the bottleneck?

    The finishing-mill model now in development is built to show whether the finishing mill, furnace pace, or coiler pace limits tons per hour for a given slab, grade, and target gauge — with predicted stand-by-stand roll force, roll speed, and motor load.

    What if we change the product?

    Designed to sweep exit gauge or entry temperature and show how predicted tons per hour change — offline, without touching production.

    Which furnace option makes more tons?

    Forecast tonnage for reheat furnace options using your mill's own historical product mix. We have used residence-time modeling to compare walking beam furnaces with a mill's existing furnaces.

    How do the hot and cold mills work together?

    Offered as a study

    Offered as an engineering study, not yet delivered for a mill: model a finishing mill and a tandem cold mill as one continuous unit to explore how hot-band gauge affects cold mill production and look for the gauge that maximizes combined tonnage.

    How many tons will this turn make?

    Bar-by-bar tonnage forecasts that show the limiting area for each bar, with predicted and actual tons side by side. We have built and maintained one for a hot strip mill.

    What about the whole production chain?

    Roadmap

    Linking unit models across a chain — such as hot strip mill, pickle line, and cold mill — to evaluate total output is a future direction on our roadmap, not a current offering.

    Featured Model

    Furnace Pacing Model

    A math model designed to set furnace pace on furnace-limited products, with configurable settings for bar temperature control and production when the furnace is the limit.

    In development: each model is tuned for your furnaces, then run side by side with your existing system before commissioning.

    Design goals

    More tons on furnace-limited products

    Fewer cobbles

    Less operator error

    More consistent bar temperatures

    What it is designed to provide

    • A math model designed to set pace on furnace-limited products
    • Configuration settings for controlling bar temperature and maximizing production when the furnace is the limit
    • Time- and bar-based logging with summary reporting

    Our furnace pacing experience

    We have done furnace pacing control work on site at an integrated steel producer's hot strip mill, including:

    • Closed-loop pacing control with improved pacing feedback
    • Pace targets set by heating practice, using Level 1 tracking data
    • Adaptive hold times that recover travel time lost between the furnace and the scale breaker
    • Time-loss analysis with new historian signals
    • Early development of a dynamic pacing model that calculates an ideal pace setpoint for each bar

    Model interaction & capability

    The pacing model is designed to work with a heat model and a production model. Closed-loop mode adds feedback, and the thermal modes add the heat and production models.

    Pacing Model

    Sets furnace pace

    Heat Model

    Adds thermal prediction

    Production Model

    Adds production forecasting

    Models used in each furnace pacing mode
    ModePacingHeatProduction
    Open LoopPacing math model––
    Closed LoopPacing plus feedback––
    ThermalHeat plus pacing model–
    Thermal ForecastPacing, heat, and production models

    Layering models is designed to enable

    Better prediction accuracyReusable modelsSwitching modes as conditions change

    Configuration tuning

    • Furnace pace settings
    • Temperature targets and tolerances
    • Operating mode by bar: soak, time, or heat mode

    Designed for real-world teams

    • Easy-to-use tools and configuration
    • Designed to reduce reliance on process specialists and programming expertise
    • Notification of program and process changes
    • Designed so your team keeps change control in-house

    Deployment

    Fits Your Plant and Your Systems

    Designed to run where you need it

    • Designed to run entirely on premise — cloud compute is not required
    • Optional on-premise and cloud hybrid

    Designed to connect to your tools

    • Model functions designed for access from Excel, SQL, and JSON REST APIs
    • Example technology options, scoped per project: .NET web applications, Ignition, and Logix controllers

    Controlled change

    • Staged change control
    • Approval chain
    • Change windows scheduled by authorized personnel

    How a Project Runs

    From Onsite Review to Go-Live

    1. 01

      Onsite Review

      Engineers come on site to review the existing system and gather engineering data and requirements.

    2. 02

      Functional Engineering

      A living document that describes the system in detail.

    3. 03

      Review

      Review the functional description together and fine-tune the details.

    4. 04

      Run

      Develop the math models, system interfaces, and final documentation.

    5. 05

      Shadow

      Run side by side and validate against the real-world system.

    6. 06

      Commission

      Go live.

    Getting Started

    Three Steps to a Model Built for Your Mill

    1. Mill Assessment

    An on-site preliminary engineering study of your line.

    • Product mix and equipment limits: motors, gear reducers, and drives
    • Line geometry and thermal capability: furnace distances, zones, and heating and cooling power
    • An initial model tuned to your operating data
    • A data-driven evaluation report with recommendations

    2. Model Development

    We develop and tune the models for your production unit.

    • Functional engineering reviewed with your team
    • Math models, system interfaces, and documentation
    • Shadow validation against the real mill before go-live

    3. Production Tools

    Put the model to work for operations, engineering, and R&D.

    • Dashboards
    • System interfaces
    • HMI screens
    • Security

    Explore What Your Mill Can Do

    Tell us about your production unit and the decisions in front of you. We'll tell you where an operations model can help — and where it can't.

    Request Consultation