Invensys Systems, Inc.

Aveva Software, LLC

David Bluck

Gang Xu

Ian H Boys

Prashant Karbhari

Wen-Jing Lin

David J Van Peursem

A method of modeling phase characteristics of thermodynamic systems utilizing pseudo-properties strategy and a reduced number of variables is disclosed herein. The method describes a means of determining the probability of phase splitting of mixtures of materials at a given temperature, pressure, and composition by characterizing the functions that describe the system via pseudo-properties, and also by describing the system in n&#x2212;1 or fewer variables, where n represents the number of components in the system of interest. In an embodiment, a multi-component system is characterized in one variable, thereby providing simplified thermodynamic models in a time-efficient manner. In addition, the information generated by this reduced-variable calculation can further be used as a starting point for calculations of equations of state.

Thermodynamic phase equilibrium analysis based on a reduced composition domain

A method of modeling a fermentation process comprises providing a first principles model of a fermentation process; determining the concentration of at least one substrate in a fermentation composition at a first time; and predicting the concentration of at least one component of the fermentation composition at a second time using the first principles model, wherein the second time is after the first time.

Simulated fermentation process

A system for thermodynamic modeling is provided. The system comprises a computer having a processor, a thermodynamic process simulation application, and a thermodynamic equation of state application. When executed by the processor, the thermodynamic equation of state application determines a density root based on a first and second point of departure from an equation of state and based on a first and a second extrapolation equation. The first departure point satisfies the equation The second departure point satisfies the equation The density root is determined as a pseudo-density in a phase two when the specified pressure is greater than the second departure point pressure and in a phase one when the specified pressure is less than the first departure point pressure. When executed by the processor, the thermodynamic process simulation application invokes the thermodynamic equation of state application to determine a result based on the density root.

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Yorba Linda, CA, United States of America

David Bluck