Nonlinear Predictive Control for Gain-Inversion Reactor Stability

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Solution Overview

Problem

Conventional silver-based catalysts in alkylene oxide production exhibit lower efficiency and selectivity, with efficiency curves showing significant changes due to gas phase promoter concentration, leading to instability and inefficiency in processes with steady-state gain inversion.

Innovation Solution

A chemical system employing a nonlinear model predictive control (NMPC) device with an input disturbance model and state estimator to optimize process inputs, maintaining the process near optimal conditions despite disturbances, using a custom output measurement to adjust inputs and regulate the process effectively.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If conventional silver-based catalysts are used in epoxidation, then the process is simpler to operate, but the efficiency and selectivity are limited below 85.7%

Engineering Contradiction:
ImproveefficiencyVSAvoidcontrol system complexity
Core Design Contradiction:
ProductivityVSDevice complexity

Solution Approach 1:

The patent employs nonlinear model predictive control to dynamically adjust process parameters (temperature, promoter concentration, feed rates) to optimize catalyst performance. This allows high-selectivity catalysts to operate at their peak efficiency points, achieving selectivity above the conventional 85.7% limit while managing the complexity through systematic parameter optimization

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The control system continuously monitors process variables and uses feedback loops to maintain optimal operating conditions. This feedback mechanism compensates for the steep efficiency curves of high-selectivity catalysts, ensuring the process remains stable and efficient despite the increased control complexity

Inventive Principle:
Principle #23Feedback

2Productivity

If high selectivity catalysts are used, then efficiency increases, but the efficiency curve becomes steep and sensitive to promoter concentration changes

Engineering Contradiction:
ImproveselectivityVSAvoidprocess stability
Core Design Contradiction:
ProductivityVSStability of the object's composition

Solution Approach 1:

The NMPC system implements multiple feedback loops that continuously monitor promoter concentration, temperature, and efficiency metrics. When deviations from optimal conditions are detected, the system automatically adjusts control variables to return the process to the optimal operating point, thereby stabilizing the steep efficiency curve of high-selectivity catalysts

Inventive Principle:
Principle #23Feedback

Solution Approach 2:

The control system transitions from static to dynamic operation, continuously adapting promoter concentration and other parameters in real-time. This dynamic adjustment allows the system to track the optimal operating point along the steep efficiency curve, maintaining high selectivity while compensating for natural process variations and disturbances

Inventive Principle:
Principle #15Dynamics

3Manufacturing precision

If nonlinear relationships between variables are modeled, then manufacturing precision improves, but device complexity increases

Engineering Contradiction:
Improveprocess control precisionVSAvoidmodel complexity
Core Design Contradiction:
Manufacturing precisionVSDevice complexity

Solution Approach 1:

The patent transforms the complex nonlinear control problem into a series of manageable linear sub-problems through parameter transformations and operating point linearization. The NMPC controller uses a nonlinear process model to predict future behavior but solves linear optimization problems at each control interval, achieving high manufacturing precision while keeping computational complexity tractable

Inventive Principle:
Principle #35Parameter changes

Solution Approach 2:

The control strategy segments the complex nonlinear control task into discrete time intervals and manageable control loops. By dividing the control horizon into prediction intervals and solving optimization problems step-by-step, the system achieves precise control of nonlinear relationships without requiring a single monolithic complex model

Inventive Principle:
Principle #1Segmentation

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The NMPC device enhances alkylene oxide production efficiency by maintaining the process at optimal conditions, maximizing output variables with steady-state gain inversion, achieving improved selectivity and stability compared to conventional methods.

Implementation Method 1

a state estimator configured to utilize the custom output measurement to estimate the unmeasured disturbances entering the process and thereby predict a change in the process

Methodology Applied
Scientific EffectDisturbance estimation:

Implementation Method 2

A chemical system employing a nonlinear model predictive control (NMPC) device with an input disturbance model and state estimator to optimize process inputs, maintaining the process near optimal conditions despite disturbances

Methodology Applied
Scientific EffectNonlinear model predictive control:

Data Source

PatentUS11249446B2Nonlinear model predictive control of a process
Publication Date: 2022.02.15 DOW GLOBAL TECHNOLOGIES LLC
  • US11249446B2 patent drawing
  • US11249446B2 patent drawing
  • US11249446B2 patent drawing

AI summary

A chemical system for an operation exhibiting steady-state gain inversion is provided herein and includes a reactor configured to receive a feed stream and produce an outlet stream to form a process and a control device configured to control a process. The control device receives inputs indicative of an operational parameter and output variables and, in response to the inputs and output variables, provides a steady-state manipulated input configured to control or optimize the process. The control device includes an input disturbance model, a state estimator, a non-linear steady-state target calculator, and a regulator configured to provide a signal for adjustment of one or more inputs based on the steady-state manipulated input and associated output variables.