A state estimation method for a heat supply network in a steady state based on a bilateral equivalent model is provided. The method includes: establishing the bilateral equivalent model based on a mass flow rate in each supply branch of the heating network, a mass flow rate in each return branch of the heating network, a mass flow rate in each connecting branch of the heating network, a pressure and a temperature of each node in the heating network, wherein each heat source is configured as a connecting branch and each heat load is configured as a connecting branch; and repeatedly performing a state estimation on the heating network based on the bilateral equivalent model, until a coverage state estimation result is acquired.

A state estimation method for a heat supply network in a steady state based on a bilateral equivalent model is provided. The method includes: establishing the bilateral equivalent model based on a mass flow rate in each supply branch of the heating network, a mass flow rate in each return branch of the heating network, a mass flow rate in each connecting branch of the heating network, a pressure and a temperature of each node in the heating network, wherein each heat source is configured as a connecting branch and each heat load is configured as a connecting branch; and repeatedly performing a state estimation on the heating network based on the bilateral equivalent model, until a coverage state estimation result is acquired.

Apparatus and methods for designing a system that measures deflection at multiple points and in various axes and how it relates to flow measurement are described. A system for continuously measuring the mass flow of a media includes one or more cartridges, one or more displacement sensing devices, and a processor. The one or more cartridges are connected serially between an inflow and outflow media pipe. The one or more displacement-sensing devices is configured to detect displacement changes of the one or more cartridges at two or more separate points on the cartridge(s) when the media flows through the cartridge(s). The processor is configured to calculate the flow of the media based on the detected displacement changes of the one or more cartridges at the one or more separate points.

Apparatus and methods for designing a system that measures deflection at multiple points and in various axes and how it relates to flow measurement are described. A system for continuously measuring the mass flow of a media includes one or more cartridges, one or more displacement sensing devices, and a processor. The one or more cartridges are connected serially between an inflow and outflow media pipe. The one or more displacement-sensing devices is configured to detect displacement changes of the one or more cartridges at two or more separate points on the cartridge(s) when the media flows through the cartridge(s). The processor is configured to calculate the flow of the media based on the detected displacement changes of the one or more cartridges at the one or more separate points.

A method for operating a heater system including a resistive heating element having a material with a non-monotonic resistivity vs. temperature profile is provided. The method includes heating the resistive heating element to within a limited temperature range in which the resistive heating element exhibits a negative dR/dT characteristic, operating the resistive heating element within an operating temperature range that at least partially overlaps the limited temperature range, and determining a temperature of the resistive heating element such that the resistive heating element functions as both a heater and a temperature sensor. The resistive heating element can function as a temperature sensor in a temperature range between about 500° C. and about 800° C., and the non-monotonic resistivity vs. temperature profile for the material of the resistive heating element can have a local maximum and a local minimum.

A method for operating a heater system including a resistive heating element having a material with a non-monotonic resistivity vs. temperature profile is provided. The method includes heating the resistive heating element to within a limited temperature range in which the resistive heating element exhibits a negative dR/dT characteristic, operating the resistive heating element within an operating temperature range that at least partially overlaps the limited temperature range, and determining a temperature of the resistive heating element such that the resistive heating element functions as both a heater and a temperature sensor. The resistive heating element can function as a temperature sensor in a temperature range between about 500° C. and about 800° C., and the non-monotonic resistivity vs. temperature profile for the material of the resistive heating element can have a local maximum and a local minimum.

Techniques for detecting and correcting for discrepancy events in a fluid pipeline are presented. The techniques can include obtaining a plurality of empirical temperature and pressure measurements at a plurality of locations within the pipeline; simulating, using a pipeline model, a plurality of simulated temperature and pressure measurements for the plurality of locations within the pipeline; detecting, by a discrepancy event detector, at least one discrepancy event representing a discrepancy between the empirical temperature and pressure measurements and the simulated temperature and pressure measurements; outputting to a user an indication that the at least one discrepancy event has been detected; accounting for the at least one discrepancy; determining, after the accounting and using an estimator applied to the pipeline model, a corrected branch flow rate for the pipeline; and outputting the corrected branch flow rate for the pipeline to the user.

Techniques for detecting and correcting for discrepancy events in a fluid pipeline are presented. The techniques can include obtaining a plurality of empirical temperature and pressure measurements at a plurality of locations within the pipeline; simulating, using a pipeline model, a plurality of simulated temperature and pressure measurements for the plurality of locations within the pipeline; detecting, by a discrepancy event detector, at least one discrepancy event representing a discrepancy between the empirical temperature and pressure measurements and the simulated temperature and pressure measurements; outputting to a user an indication that the at least one discrepancy event has been detected; accounting for the at least one discrepancy; determining, after the accounting and using an estimator applied to the pipeline model, a corrected branch flow rate for the pipeline; and outputting the corrected branch flow rate for the pipeline to the user.

The present disclosure describes a method including: receiving input data from a gas and oil separation plant (GOSP), wherein: one or more demulsifiers is being injected into an emulsion to achieve a separation, a plurality of flow rates of water and the one or more demulsifiers are being measured inside the GOSP, the input data comprises the plurality of flow rates as well as temperatures corresponding to the plurality of flow rates, and determining, for each of the one or more demulsifiers, efficiencies of the separation based on the flow rates measured at corresponding temperatures; grouping respective efficiencies of separation according to a set of temperature ranges; and generating, for at least one temperature range, a histogram for the at least one temperature range; ranking the one or more demulsifiers according to the histogram; and providing a feedback to indicate a ranked order of the one or more demulsifiers.

The present disclosure describes a method including: receiving input data from a gas and oil separation plant (GOSP), wherein: one or more demulsifiers is being injected into an emulsion to achieve a separation, a plurality of flow rates of water and the one or more demulsifiers are being measured inside the GOSP, the input data comprises the plurality of flow rates as well as temperatures corresponding to the plurality of flow rates, and determining, for each of the one or more demulsifiers, efficiencies of the separation based on the flow rates measured at corresponding temperatures; grouping respective efficiencies of separation according to a set of temperature ranges; and generating, for at least one temperature range, a histogram for the at least one temperature range; ranking the one or more demulsifiers according to the histogram; and providing a feedback to indicate a ranked order of the one or more demulsifiers.