Abstract: Methods, systems, and apparatuses for developing linear process models to improve performance of components that make up operations in a plant are described herein. In some arrangements, a system may leverage one or more sensors and/or measurement devices to identify rates and compositions of feed and yield. The system may use one or more stoichiometric matrices and/or differential equations to identify molar and mass solutions for each feed component and predict the yield for reaction rates on a component-by-component basis. The system may further adjust the reaction rate coefficients to minimize the deviation between the yield results and the yield identified by system sensors and/or measuring devices. The resulting linear process models may be utilized to optimize plant processes in order to minimize reaction waste and maximize reaction yield.

Abstract: Methods, systems, and apparatuses for developing linear process models to improve performance of components that make up operations in a plant are described herein. In some arrangements, a system may leverage one or more sensors and/or measurement devices to identify rates and compositions of feed and yield. The system may use one or more stoichiometric matrices and/or differential equations to identify molar and mass solutions for each feed component and predict the yield for reaction rates on a component-by-component basis. The system may further adjust the reaction rate coefficients to minimize the deviation between the yield results and the yield identified by system sensors and/or measuring devices. The resulting linear process models may be utilized to optimize plant processes in order to minimize reaction waste and maximize reaction yield.