# US 2026/0099564 A1 · System and method for modeling and optimizing operation of non-linear process using quadratic polynomial equation with coefficients and economic load allocation > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 2026/0099564 A1 - Document ID: US20260099564A1 - Status: Published application - Kind: A1 - Application number: 18/906,975 - Filed: 2024-10-04 - Published: 2026-04-09 - Earliest claimed: 2024-10-04 - Assignees: Honeywell International Inc. - Applicants: Honeywell International Inc. - Inventors: Peter Hart; Avijit Das; Mandar Vartak; Shweta Ramakrishna Bhat - Web page: https://patentgrep.com/patent/US20260099564A1 ## CPC - G06F 17/11: for solving equations {, e.g. nonlinear equations, general mathematical optimization problems (optimization specially adapted for a specific administrative, business or logistic context G06Q10/04)} - G06F: ELECTRIC DIGITAL DATA PROCESSING (computer systems based on specific computational models G06N) ## Abstract A system comprises: processor(s); and memory(s) communicatively coupled to the processor(s), the memory(s) storing computer readable instructions that when executed by the processor(s) causes the processor(s) to: receive at least one user defined quadratic polynomial equation modeling a specific model for operation of a non-linear process; receive updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; perform an economic load allocation based on the updated coefficients and the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; derive optimized targets for at least one manipulated variable of the non-linear process based on the economic load allocation; and provide the optimized targets to hardware that adjusts the operation of the non-linear process. ## Claims ### Claim 1 A system, comprising: at least one processor; and at least one memory communicatively coupled to the at least one processor, the at least one memory storing computer readable instructions that when executed by the at least one processor causes the at least one processor to: receive at least one user defined quadratic polynomial equation modeling a specific model for operation of a non-linear process; receive updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; perform an economic load allocation based on the updated coefficients and the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; derive optimized targets for at least one manipulated variable of the non-linear process based on the economic load allocation; and provide the optimized targets to hardware that adjusts the operation of the non-linear process. ### Claim 2 (depends on 1) The system of claim 1, wherein the computer readable instructions, when executed by the at least one processor, causes the at least one processor to: receive the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by being configured to: receive a bulk update with the updated coefficients from a user. ### Claim 3 (depends on 1) The system of claim 1, further comprising: wherein the hardware includes a plurality of secondary process controllers; and wherein the computer readable instructions, when executed by the at least one processor, causes the at least one processor to: receive the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by being configured to: receive a bulk update with the updated coefficients from a user; and provide the optimized targets to the hardware that adjusts the operation of the non-linear process at least in part by being configured to: provide the optimized targets to the plurality of secondary process controllers to adjust the operation of the non-linear process across multiple sites. ### Claim 4 (depends on 1) The system of claim 1, wherein the computer readable instructions, when executed by the at least one processor, causes the at least one processor to: generate the updated coefficients based on real-time feedback from the non-linear process. ### Claim 5 (depends on 1) The system of claim 1, wherein the system comprises at least one of at least one plant wide optimizer or at least one process controller. ### Claim 6 (depends on 1) The system of claim 1, wherein the hardware includes at least one of a valve, a reactor, a pump, and a turbine. ### Claim 7 (depends on 1) The system of claim 1, wherein the hardware is remotely located from the at least one processor. ### Claim 8 (depends on 1) The system of claim 1, wherein the at least one user defined quadratic polynomial equation models the specific model for the operation of the non-linear process based on a least one of an oil to gas ratio, water, field reservoir pressure, gas re-injection, and well head pressure. ### Claim 9 A method comprising: receiving at least one user defined quadratic polynomial equation modeling a specific model for operation of a non-linear process; receiving updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; performing an economic load allocation based on the updated coefficients and the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; deriving optimized targets for at least one manipulated variable of the non-linear process based on the economic load allocation; and providing the optimized targets to hardware that adjusts the operation of the non-linear process. ### Claim 10 (depends on 9) The method of claim 9, wherein receiving the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by: receiving a bulk update with the updated coefficients from a user. ### Claim 11 (depends on 9) The method of claim 9, wherein: receiving the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by: receiving a bulk update with the updated coefficients from a user; and providing the optimized targets to the hardware that adjusts the operation of the non-linear process at least in part by: providing the optimized targets to a plurality of secondary process controllers to adjust the operation of the non-linear process across multiple sites. ### Claim 12 (depends on 9) The method of claim 9, further comprising: generating the updated coefficients based on real-time feedback from the non-linear process. ### Claim 13 (depends on 9) The method of claim 9, wherein the hardware includes at least one of a valve, a reactor, a pump, and a turbine. ### Claim 14 (depends on 9) The method of claim 9, wherein the hardware is remotely located from where the optimized targets are derived. ### Claim 15 A non-transitory computer-readable medium including a set of instructions that, when executed by at least one processor, cause the at least one processor to: receive at least one user defined quadratic polynomial equation modeling a specific model for operation of a non-linear process; receive updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; perform an economic load allocation based on the updated coefficients and the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process; derive optimized targets for at least one manipulated variable of the non-linear process based on the economic load allocation; and provide the optimized targets to hardware that adjusts the operation of the non-linear process. ### Claim 16 (depends on 15) The non-transitory computer-readable medium of claim 15, wherein the set of instructions, when executed by the at least one processor, causes the at least one processor to: receive the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by being configured to: receive a bulk update with the updated coefficients from a user. ### Claim 17 (depends on 15) The non-transitory computer-readable medium of claim 15, wherein the set of instructions, when executed by the at least one processor, causes the at least one processor to: receive the updated coefficients for the at least one user defined quadratic polynomial equation modeling the specific model for the operation of the non-linear process at least in part by being configured to: receive a bulk update with the updated coefficients from a user; and provide the optimized targets to the hardware that adjusts the operation of the non-linear process at least in part by being configured to: provide the optimized targets to a plurality of secondary process controllers to adjust the operation of the non-linear process across multiple sites. ### Claim 18 (depends on 15) The non-transitory computer-readable medium of claim 15, wherein the set of instructions, when executed by the at least one processor, causes the at least one processor to: generate the updated coefficients based on real-time feedback from the non-linear process. ### Claim 19 (depends on 15) The non-transitory computer-readable medium of claim 15, wherein the hardware includes at least one of a valve, a reactor, a pump, and a turbine. ### Claim 20 (depends on 15) The non-transitory computer-readable medium of claim 15, wherein the hardware is remotely located from the at least one processor.