The field of the disclosure relates generally to fluid conduit systems and, more particularly, to microwave-based fluid conduit heating systems.
At least some of known hydrocarbon fluid conduits include gas pipelines, e.g., subsea natural gas pipelines. Many of these known subsea natural gas pipelines extend long distances, i.e., in excess of five miles (8 kilometers) in low-temperature environments and such subsea pipelines are therefore susceptible to deposit buildups on the inside walls of the pipelines. Such deposits include hydrates, i.e., any compound containing water in the form of H2O molecules. Natural gas transported through such pipelines typically includes less than 5 mole percent (%) polar water molecules and over 95% methane molecules, and the gas is sometimes referred to as “wet gas”. These hydrates tend to freeze and restrict the natural gas flow through the pipeline. Other known deposits include wax, asphaltenes, i.e., molecular substances found in crude oil, and scale deposits. These other deposits may also restrict flow through the pipeline, and also completely block the pipeline.
At least some known methods of mitigating deposition on the inner pipeline walls include chemical-based methods including an inhibitor to melt and/or prevent the formation of these deposits. Such chemical inhibitors modify the hydrate phase equilibria through lowering the hydrate formation temperature below the normal formation temperature and raising the hydrate formation pressure above the normal formation pressure. However, such inhibitors may change from liquid phase to vapor phase where it is less effective in inhibiting hydrate formation, may induce piping corrosion, and incur large attendant costs of using such consumable chemicals. Other known chemical inhibitors are low dosage hydrate inhibitors such as kinetic inhibitors that delay hydrate nucleation and growth for periods possibly longer than the residence time of the hydrocarbons in the pipeline. However, they are only effective in moderate sub-cooling environments, i.e., when the hydrate equilibrium temperature minus a typical deep water temperature is approximately 13 degrees Celsius (° C.) (23 degrees Fahrenheit (° F.)). Other known low dosage hydrate inhibitors include anti-agglomerants that prevent hydrate crystals from agglomerating into hydrate plugs in pipelines exposed to environments where the sub-cooling is more extreme, i.e., 22° C. (40° F.). However, both chemicals require purchase, storage, and replenishment, thereby incurring increased costs of pipeline construction and operational costs. Some of these chemicals have characteristics that require special handling and disposal methods, thereby further increasing operational expenses.
Known non-chemical methods of mitigating hydrate formation inside hydrocarbon pipelines include direct electric heating through coupling electric current-carrying wires to the external surface of the pipeline. Such known non-chemical methods also include standard trace-heating through coupling a series of layers of electric current-carrying cables and insulation over the pipeline. Such known non-chemical methods further include skin-effect heat tracing through coupling a heat tube to the outside piping surface, extending a current-carrying conductor through the heat tube, and wiring a first voltage source to the heat tube and ground (e.g., the outside surface of the pipeline) and wiring a second voltage source to the heat tube and the current-carrying conductor. Each of these known non-chemical methods requires significant lengths of wiring, cabling, and insulation, and significant consumption of electricity. Moreover, these methods also tend to heat the water around the pipeline, thereby wasting a large amount of energy. Furthermore, the direct electric heating system tends to inject electric current into the surrounding seawater, therefore further decreasing the efficiency of the system. Another known non-chemical method includes hot water circulation where one or more hot water supply and return tubes extend proximate to gas transport piping through an insulated pipeline system. However, the additional supply and return piping significantly increases the costs and complexity of such designs and the hot water supply and return pipes are susceptible to freezing if out of service for a period of time in those cold environments.
In one aspect, a fluid conduit heating system is provided. The system includes a fluid transport conduit including a wall including a radially inner surface and a radially outer surface. The radially inner surface has a predetermined topography and the fluid transport conduit is configured to transport a hydrocarbon fluid therethrough. The system also includes a microwave heating device in radio frequency (RF) communication with the fluid transport conduit. The microwave heating device includes a microwave generator configured to generate microwave radiation and a waveguide coupled to the microwave generator. The waveguide is configured to conform a propagation pattern of the microwave radiation generated by the microwave generator to the predetermined topography of the radially inner surface.
In a further aspect, a method of deposit removal and deposit inhibition in a fluid transport conduit is provided. The fluid transport conduit includes a wall including a radially inner surface having a predetermined topography. The fluid transport conduit is configured for subsea operation and further configured to transport a hydrocarbon fluid therethrough. The method includes coupling a microwave heating device in radio frequency (RF) communication with the fluid transport conduit and generating microwave radiation through the microwave heating device. The method also includes conforming a propagation pattern of the microwave radiation generated by the microwave heating device to the predetermined topography of the radially inner surface and launching the microwave radiation into the fluid transport conduit.
In another aspect, a subsea hydrocarbon fluid transfer system is provided. The subsea hydrocarbon fluid transfer system includes a plurality of fluid transport conduits coupled in flow communication. Each fluid transport conduit of the plurality of fluid transport conduits includes a conduit wall including a radially inner conduit surface and a radially outer conduit surface. The radially inner conduit surface has a predetermined topography. Each fluid transport conduit is configured to transport a hydrocarbon fluid therethrough. The subsea hydrocarbon fluid transfer system also includes a microwave-based fluid conduit heating system including a plurality of microwave heating devices in radio frequency (RF) communication with at least a portion of the fluid transport conduits. Each microwave heating device of the plurality of microwave heating devices includes a microwave generator configured to generate microwave radiation a waveguide coupled to a respective microwave generator. The waveguide is configured to conform a propagation pattern of the microwave radiation generated by the respective microwave generator to the predetermined topography of the radially inner conduit surface.
These and other features, aspects, and advantages of the present disclosure will become better understood when the following detailed description is read with reference to the accompanying drawings in which like characters represent like parts throughout the drawings, wherein:
Unless otherwise indicated, the drawings provided herein are meant to illustrate features of embodiments of the disclosure. These features are believed to be applicable in a wide variety of systems comprising one or more embodiments of the disclosure. As such, the drawings are not meant to include all conventional features known by those of ordinary skill in the art to be required for the practice of the embodiments disclosed herein.
In the following specification and the claims, reference will be made to a number of terms, which shall be defined to have the following meanings.
The singular forms “a”, “an”, and “the” include plural references unless the context clearly dictates otherwise.
“Optional” or “optionally” means that the subsequently described event or circumstance may or may not occur, and that the description includes instances where the event occurs and instances where it does not.
Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about”, “approximately”, and “substantially”, are not to be limited to the precise value specified. In at least some instances, the approximating language may correspond to the precision of an instrument for measuring the value. Here and throughout the specification and claims, range limitations may be combined and/or interchanged, such ranges are identified and include all the sub-ranges contained therein unless context or language indicates otherwise.
As used herein, the terms “processor” and “computer,” and related terms, e.g., “processing device,” “computing device,” and “controller” are not limited to just those integrated circuits referred to in the art as a computer, but broadly refers to a microcontroller, a microcomputer, a programmable logic controller (PLC), and application specific integrated circuit, and other programmable circuits, and these terms are used interchangeably herein. In the embodiments described herein, memory may include, but it not limited to, a computer-readable medium, such as a random access memory (RAM), a computer-readable non-volatile medium, such as a flash memory. Alternatively, a floppy disk, a compact disc-read only memory (CD-ROM), a magneto-optical disk (MOD), and/or a digital versatile disc (DVD) may also be used. Also, in the embodiments described herein, additional input channels may be, but are not limited to, computer peripherals associated with an operator interface such as a mouse and a keyboard. Alternatively, other computer peripherals may also be used that may include, for example, but not be limited to, a scanner. Furthermore, in the exemplary embodiment, additional output channels may include, but not be limited to, an operator interface monitor.
The microwave heating devices, fluid conduit heating systems, and subsea hydrocarbon fluid transfer systems as described herein overcome a number of deficiencies associated with known systems and methods of reducing restrictions in subsea natural gas pipelines in low temperature environments, e.g., arctic regions such as, without limitation, the North Sea. Specifically, the fluid conduit heating systems use microwaves to heat water molecules in natural gas pipelines thus decreasing formation of hydrates in the pipelines. The microwaves propagate along the pipeline from an immersed microwave heating device. The metallic pipeline acts as an electromagnetic wave guide keeping the microwaves confined into the inner region of the pipeline, transporting the heating energy to the predetermined heating points, and facilitating microwave transmission through bends and other flow direction changes. The microwaves travel along the pipeline and heat the water molecules and the inner surface of the metallic pipeline. The heated polar water molecules cannot bond into the unheated, nonpolar methane molecules and the formation of hydrates is significantly reduced. In addition, the fluid conduit heating systems described herein may also be used to heat any other metallic fluid conduit heating system components, such as, and without limitation, the internal portions of heat exchangers used as anti-surge coolers prior to system start-up, manifolds, jumpers to the manifold, and piping connectors. The predetermined microwave frequencies will be selected based on factors that include, without limitation, pipeline diameters and the associated cutoff frequencies. In addition to reducing deposition of hydrates on the inner surfaces of the pipelines, such heating within the pipelines as described herein also facilitate decreasing deposits of wax, asphaltenes, and scale.
In addition, the microwave heating devices, fluid conduit heating systems, and subsea hydrocarbon fluid transfer systems as described herein improve the energy transfer from the microwave sources to the pipe and other metallic components through matching the impedances of the sources with the impedances of the components either manually or through automatic operation. In some embodiments, the microwave heating devices include a waveguide mode converter that facilitates, without limitation, transitioning a rectangular waveguide generating microwaves in the TE10 (traverse electric) mode to a circular waveguide launching microwaves in the TE11 mode to further enhance the energy efficiency of the fluid conduit heating systems described herein.
Also, in some embodiments, the microwave heating devices are positioned in fixed locations along the length of a gas pipeline. These fixed microwave heating devices are configured to channel natural gas through channels defined in the waveguides substantially uninterrupted while mitigating microwave leakage. Such fixed microwave heating devices facilitate continuous microwave launching during pipeline operation to maintain temperature of pipe above hydrate formation temperature, i.e., typically approximately 25 degrees Celsius (° C.) (77 degrees Fahrenheit (° F.)). Also, such fixed microwave heating devices facilitate deposit removal in the event that either restriction or blockage is determined to exist in the gas pipeline. In other embodiments, the microwave heating devices are implemented as a mobile system coupled to a pipeline pig that is translated through the pipeline. These mobile systems are also configured to facilitate continuous microwave launching during pipeline operation and facilitate deposit removal at the discretion of the operator.
Furthermore, to further enhance the energy efficiency of the fluid conduit heating systems, the heating of the pipeline wall is generated at the inner surface of the pipeline, i.e., not in region between the inner and outer pipeline surfaces, such that the temperature profile in the pipeline cross-section includes a highest temperature at the inner surface and the thermal losses into the surrounding subsea are mitigated. The pipeline has an insulation material as the outermost layer, such that heat generated in the inner part of the pipeline does not transfer out to the sea water. Moreover, for the pipelines with the predetermined inner wall surface topologies, e.g., internally corrugated, a change of the microwave frequency results in a change of the proportion of heat being transferred to the water molecules inside the pipeline compared to the amount of heat locally transferred to the metallic inner part of the pipeline, thereby facilitating heat transfer to the pipeline inner surface at particular predetermined points along the length of the pipeline.
Also, the fluid conduit heating systems described herein facilitate decreasing capital construction costs and operation and maintenance costs. For example, heating cables are not coupled to the length of the pipeline segments to be heated because the pipeline itself is used as a microwave waveguide. Also, for example, a significant decrease in energy transfer to the surrounding subsea environment is achieved. Furthermore, for example, there is little chance for inducing secondary currents outside of the pipeline in the subsea environment. Also, more economical exploration and resource recovery operations including natural gas pipelines in more severe cold operating conditions, such as sea floor pipelines under arctic conditions, is facilitated. Furthermore, design and operation of the heating systems described herein may be customized to facilitate particular environmental conditions at energy consumption levels particular to local heating requirements. In addition, in contrast to many known solutions, microwave heating may be easily retrofitted to existing resource recovery projects fields.
Also, in the exemplary embodiment, fluid conduit heating system 210 includes at least one controller 218 is coupled to each microwave heating device 200 through communications and power cabling 220. Communications and power cabling 220 is any cabling configured to operate in cold subsea environments. Alternatively, for those portions of fluid conduit heating system 210 not submerged, wireless communications are used. Controller 218 is configured with sufficient algorithms and instructions to enable fluid conduit heating system 210 to operate as described herein. For example, and without limitation, the power and frequency output of each microwave heating device 200 may be regulated by controller 218. Further, in the exemplary embodiment, piping segments 104 include a wall 221 including a radially inner surface 222 (discussed further below) and a radially outer surface 224 exposed to a subsea environment 226. In the exemplary embodiment, pipeline segments 104 are fabricated from a steel alloy, e.g., and without limitation, stainless steel alloys 304L, 316L, duplex, and AL-6×N. Alternatively, pipeline segments 104 are fabricated from any materials that enable operation of fluid conduit heating system 210 as described herein. At least some embodiments of subsea hydrocarbon fluid transfer system 100 and microwave-based fluid conduit heating system 210 include at least one layer of insulation (not shown) formed over pipeline segments 104 to facilitate heat retention within segments 104.
In operation, electromagnetic energy is generated outside pipeline segments 104 in the magnetron (not shown in
Also, in operation, since pipeline segments 104 and fluid conduit heating system 210 are integrally configured such that of microwave heating devices 200 are installed at predetermined locations along the length of pipeline segments 104. As such, each microwave heating device 200 is operated at individualized power and frequency outputs (described further below) to facilitate operation as a function of the localized heating requirements of the associated pipeline segment 104. For example, and without limitation, those pipeline segments 104 in warmer water will consume less electric power than those pipeline segments 104 residing in colder water, thereby further facilitating more economical operation of fluid conduit heating system 210.
Also, in the exemplary embodiment, fluid conduit heating system 310 includes at least one controller 318 coupled to each microwave heating device 311 through communications and power cabling 320. Communications and power cabling 320 is any cabling configured to operate in cold subsea environments. Alternatively, for those portions of fluid conduit heating system 310 not submerged, wireless communications are used. Controller 318 is configured with sufficient algorithms and instructions to enable fluid conduit heating system 310 to operate as described herein. For example, and without limitation, the power and frequency output of each microwave heating device 311 may be regulated by controller 318. Furthermore, is some embodiments, controller 318 is configured to regulate operation of pig 312 to further enhance operation of fluid conduit heating system 310.
In operation, electromagnetic energy is generated outside pipeline segments 104 in a magnetron (not shown in
Also, in operation, in this alternative embodiment, microwave heating device 311 is operated at predetermined power and frequency outputs (described further below) to facilitate operation as a function of the localized heating requirements along the length of pipeline segment 104. For example, and without limitation, those pipeline segments 104 in warmer water will consume less electric power than those pipeline segments 104 residing in colder water, thereby further facilitating more economical operation of fluid conduit heating system 210. Moreover, in some embodiments, sensors such as, and without limitation, cameras, temperature sensors, and pressure sensors are installed on pig 312 to facilitate, without limitation, visual inspections and local temperature and pressure monitoring for manual and/or automated adjustments of the settings of microwave heating device 311 at least partially as a function of the environmental measurements received therefrom. These features further enhance operation of fluid conduit heating system 310 during removal operations of existing hydrate deposits.
Moreover, in the exemplary embodiment shown in
Microwave generator 202 includes a power supply 400 and a magnetron 402. Controller 218 is communicatively coupled to power supply 400 and magnetron 402, and power supply 400 is electrically coupled to magnetron 402, such that, without limitation, the power output and frequency output of microwave heating device 200 is regulated by controller 218. In the exemplary embodiment, power supply 400 and magnetron 402 are configured to generate at least 500 kilowatts (kW) of power. As described further below, output power and frequency may be regulated to regulate heat energy transmission within pipeline segment 104.
Waveguide 204 includes an isolator 404 coupled to magnetron 402. Isolator 404 facilitates launching forward microwave energy into pipeline segment 104 and substantially preventing reflective microwave power from returning to magnetron 402, thereby interrupting operation of magnetron 402 and potentially reducing the service life of magnetron 402. Waveguide 204 also includes a diode detector 406 coupled to isolator 404 to measure the output power of magnetron 402. Waveguide 204 further includes a variable attenuator 408 coupled to isolator 404 that provides microwave power attenuation control across a predetermined frequency range, thereby further facilitating regulation of heat energy transmission within pipeline segment 104. Waveguide 204 also includes directional coupler 410 coupled to variable attenuator 408 and coupled to a power meter 412. Directional coupler 410 and power meter 412 measure and display the amounts of forward power toward pipeline segment 104 and reflected power from pipeline segment 104. For those embodiments where waveguide 204 is submerged in subsea environment 226, the reflective power is dissipated in the water such that some circulating water removes the heat generated by the reflective power.
Waveguide 204 further includes a tuner 414 coupled to directional coupler 410. Tuner 414 includes a plurality of stub tuners 416 that match the impedance of microwave generator 202 with the impedance of pipeline segment 104, thereby facilitating enhancing the energy transfer from microwave generator 202 to pipeline segment 104. In the exemplary embodiment, tuner 414 includes three stub tuners 416. Alternatively, tuner 414 includes any number of stub tuners 416 that enables operation of waveguide 204 and fluid conduit heating system 210 as described herein. Impedance matching may be carried out manually, i.e., by an operator, or automatically by controller 218 by monitoring reflected power and adjusting the settings of tuner 414 to reduce reflected power and enhance forward power transmission to pipeline segment 104. Waveguide 204 further includes a waveguide-launch-to-pipe 418, sometimes referred to as an antenna, coupled to tuner 414 and that facilitates impedance to reduce the reflective power.
In the exemplary embodiment, as much of waveguide 204 is positioned above the surface of the water such that maintenance is facilitated. Also, portions of conduit 104 upstream of that portion of conduit 104 shown in
Referring to
Referring to
Referring to
Waveguide mode converter 600 facilitates transitioning microwaves 216 (shown in
Waveguide mode converter 600 further facilitates mode conversion. For example, and without limitation, microwave generator 202 may be a rectangular waveguide, generating in TE10 (traverse electric) mode. Pipeline segment 104 is a circular waveguide with lower order modes such as TE11, or, alternatively, TM01 (traverse magnetic) mode, or TE01 mode. In the transverse electric (TE) modes, the pattern of the electric field induced within pipeline segment 104 is substantially perpendicular to the longitudinal direction of microwave propagation along the length of segment 104 such that the top and bottom of segment 104 receives the majority of warming. Also, in the TE modes, substantially no longitudinal electric field components are generated and the magnetic field components also induced within pipeline segment 104 are oriented in the longitudinal direction. In the transverse magnetic (TM) modes, the pattern of the magnetic field induced within pipeline segment 104 is substantially perpendicular to the longitudinal direction of microwave propagation along the length of segment 104, and the electric field components also induced within pipeline segment 104 are oriented radially such that wall 221 (shown in
The specific predetermined mode generated within pipeline segment 104 is selected based on various conditions. For example, and without limitation, the TE11 mode can be coupled easily from a rectangular waveguide, leading to simplified mode converter design. However, the TM01 mode has lower attenuation and is preferred to transfer energy over longer distances. Moreover, the TM01 mode includes the electric field terminating on wall 221 in all directions, and may be preferred for evenly heating pipe walls. Furthermore, another factor that is considered when determining the mode to select is the cut-off frequency (discussed further below).
Therefore, in the exemplary embodiment, the “antenna” will be waveguide mode converter 600 that converts the TE10 mode in the rectangular waveguide to TE11 mode in the circular waveguide, i.e., pipeline segment 104 for efficient energy transfer from microwave generator 202 to pipeline segment 104. Also, in the exemplary embodiment, waveguide mode converter 600 facilitates aligning microwave heating device 200 with pipeline segment 104 to further conform the propagation pattern of the microwave radiation generated by microwave generator 202 to the predetermined topography of radially inner surface 222.
Waveguide mode converter 650 facilitates transitioning microwaves 216 (shown in
In general, although not limited to any specific frequency, the heating will be carried out within pipeline segments 104 using frequencies typically at 900 megahertz (MHz), 2.45 gigahertz (GHz), or 5.8 GHz. The specific frequency will be selected based on the diameter of pipeline segment 104. For a given diameter, a specific frequency value is the cutoff frequency, i.e., for microwave frequencies below the cutoff frequency, propagation of the microwaves will be substantially hindered. Therefore, for the selected diameter, those microwave frequencies above the cutoff frequency will be selected. As an example, 2.45 GHz microwave frequency will be used for pipeline segments 104 with a diameter of 20.32 cm (8 in.) as shown in
Referring to
In operation, microwave energy can be continuously applied while there is a flow of wet natural gas 214 (shown in
Perforated waveguide 700 and waveguide mode converter 600 facilitate placing microwave heating devices 200 as shown in
Anti-surge cooler 800 includes at least one tube 802 that provides a tortuous path for the gas to travel to increase the surface area of exposure and heat transfer. Tubes 802 include a radially inner tube surface (not shown) having a predetermined, i.e., corrugated topography similar to the predetermined topography of radially inner conduit surface 222 (shown in
The configurations of microwave heating devices 200 associated with anti-surge coolers 800, 810, and 820 are applicable for heating other metallic components commonly used in subsea oil and gas recovery facilities, e.g., and without limitation, other portions of manifold 102 such as risers 106, jumpers 108, and piping couplers 110, and valves 112 (to reduce hydrate formation on the valves' seats, walls, and disks when open) (all shown in
The above described microwave heating devices, fluid conduit heating systems, and subsea hydrocarbon fluid transfer systems overcome a number of deficiencies associated with known systems and methods of reducing restrictions in subsea natural gas pipelines in low temperature environments, e.g., arctic regions. Specifically, the fluid conduit heating systems use microwaves to heat water molecules in natural gas pipelines thus decreasing formation of hydrates in the pipelines. The microwaves propagate along the pipeline that includes predetermined inner wall surface topologies, e.g., configured with internal corrugations or substantially helical patterns, from a microwave heating device, either mobile or fixed, that is immersed in the fluid being transported. The metallic pipeline acts as an electromagnetic wave guide keeping the microwaves confined into the inner region of the pipeline, transporting the heating energy to the predetermined heating points, and facilitating microwave transmission through bends and other flow direction changes. The microwaves travel along the pipeline and heat the water molecules and the inner surface of the metallic pipeline. The heated polar water molecules cannot bond into the unheated, nonpolar methane molecules and the formation of hydrates is significantly reduced.
Also, the fluid conduit heating systems described herein facilitate decreasing capital construction costs and operation and maintenance costs. For example, heating cables are not coupled to the length of the pipeline segments to be heated, a significant decrease in energy transfer to the surrounding subsea environment is achieved, there is little chance for inducing secondary currents outside of the pipeline in the subsea environment, operation of natural gas pipelines in more severe cold operating conditions, such as sea floor pipelines under arctic conditions. In addition, design and operation of the heating systems described herein may be customized to facilitate particular environmental conditions at energy consumption levels particular to local heating requirements.
An exemplary technical effect of the methods, systems, and apparatus described herein includes at least one of: (a) decreasing hydrate deposition on the inner wall surfaces of natural gas pipelines in cold subsea conditions through an integrated combination of microwave launching into the pipeline at predetermined frequencies and modes and the internal topologies of the pipeline; (b) increasing the energy efficiency of fluid conduit heating systems through targeted microwave launching internal to the pipeline to heat the water molecules and the internal surfaces of the pipeline with reducing heat transfer into the subsea environment; and (c) decreasing capital construction costs through elimination of external cabling and wrapping extending the substantial lengths of the pipeline.
Exemplary embodiments of microwave heating devices, fluid conduit heating systems, and subsea hydrocarbon fluid transfer systems are described above in detail. The microwave heating devices, fluid conduit heating systems, and subsea hydrocarbon fluid transfer systems, and methods of operating such systems and devices are not limited to the specific embodiments described herein, but rather, components of systems and/or steps of the methods may be utilized independently and separately from other components and/or steps described herein. For example, the systems, apparatus, and methods may also be used in combination with other systems requiring efficient directed microwave heating capabilities, and are not limited to practice with only the facilities, systems and methods as described herein. Rather, the exemplary embodiment can be implemented and utilized in connection with many other heating applications that are configured to transport wet fluids that tend to form hydrate deposits, e.g., and without limitation, subsea oil and gas recovery facilities and oil and gas refining facilities.
Although specific features of various embodiments of the disclosure may be shown in some drawings and not in others, this is for convenience only. In accordance with the principles of the disclosure, any feature of a drawing may be referenced and/or claimed in combination with any feature of any other drawing.
Some embodiments involve the use of one or more electronic or computing devices. Such devices typically include a processor, processing device, or controller, such as a general purpose central processing unit (CPU), a graphics processing unit (GPU), a microcontroller, a reduced instruction set computer (RISC) processor, an application specific integrated circuit (ASIC), a programmable logic circuit (PLC), a field programmable gate array (FPGA), a digital signal processing (DSP) device, and/or any other circuit or processing device capable of executing the functions described herein. The methods described herein may be encoded as executable instructions embodied in a computer readable medium, including, without limitation, a storage device and/or a memory device. Such instructions, when executed by a processing device, cause the processing device to perform at least a portion of the methods described herein. The above examples are exemplary only, and thus are not intended to limit in any way the definition and/or meaning of the term processor and processing device.
This written description uses examples to disclose the embodiments, including the best mode, and also to enable any person skilled in the art to practice the embodiments, including making and using any devices or systems and performing any incorporated methods. The patentable scope of the disclosure is defined by the claims, and may include other examples that occur to those skilled in the art. Such other examples are intended to be within the scope of the claims if they have structural elements that do not differ from the literal language of the claims, or if they include equivalent structural elements with insubstantial differences from the literal language of the claims.