The present technology is generally directed to coke oven burn profiles and methods and systems of optimizing coke plant operation and output.
Coke is a solid carbon fuel and carbon source used to melt and reduce iron ore in the production of steel. In one process, known as the “Thompson Coking Process,” coke is produced by batch feeding pulverized coal to an oven that is sealed and heated to very high temperatures for twenty-four to forty-eight hours under closely-controlled atmospheric conditions. Coking ovens have been used for many years to convert coal into metallurgical coke. During the coking process, finely crushed coal is heated under controlled temperature conditions to devolatilize the coal and form a fused mass of coke having a predetermined porosity and strength. Because the production of coke is a batch process, multiple coke ovens are operated simultaneously.
Coal particles or a blend of coal particles are charged into hot ovens, and the coal is heated in the ovens in order to remove volatile matter (VM) from the resulting coke. Horizontal heat recovery (HHR) ovens operate under negative pressure and are typically constructed of refractory bricks and other materials, creating a substantially airtight environment. The negative pressure ovens draw in air from outside the oven to oxidize the coal's VM and to release the heat of combustion within the oven.
In some arrangements, air is introduced to the oven through damper ports or apertures in the oven sidewall or door. In the crown region above the coal-bed, the air combusts with the VM gases evolving from the pyrolysis of the coal. However, with reference to
In many coking operations, the draft of the ovens is at least partially controlled through the opening and closing of uptake dampers. However, traditional coking operations base changes to the uptake damper settings on time. For example, in a forty-eight hour cycle, the uptake damper is typically set to be fully open for approximately the first twenty-four hours of the coking cycle. The dampers are then moved to a first partially restricted position prior to thirty-two hours into the coking cycle. Prior to forty hours into the coking cycle, the dampers are moved to a second, further restricted position. At the end of the forty-eight hour coking cycle, the uptake dampers are substantially closed. This manner of managing the uptake dampers can prove to be inflexible. For example, larger charges, exceeding forty-seven tons, can release too much VM into the oven for the volume of air entering the oven through the wide open uptake damper settings. Combustion of this VM-air mixture over prolonged periods of time can cause the temperatures to rise in excess of the NTE temperatures, which can damage the oven. Accordingly, there exists a need to increase the charge weight of coke ovens without exceeding not to exceed (NTE) temperatures.
Heat generated by the coking process is typically converted into power by heat recovery steam generators (HRSGs) associated with the coke plant. Inefficient burn profile management could result in the VM gases not being burned in the oven and sent to the common tunnel. This wastes heat that could be used by the coking oven for the coking process. Improper management of the burn profile can further lower the coke production rate, as well as the quality of the coke produced by a coke plant. For example, many current methods of managing the uptake in coke ovens limits the sole flue temperature ranges that may be maintained over the coking cycle, which can adversely impact production rate and coke quality. Accordingly, there exists a need to improve the manner in which the burn profiles of the coking ovens are managed in order to optimize coke plant operation and output.
Non-limiting and non-exhaustive embodiments of the present invention, including the preferred embodiment, are described with reference to the following figures, wherein like reference numerals refer to like parts throughout the various views unless otherwise specified.
The present technology is generally directed to systems and methods for optimizing the burn profiles for coke ovens, such as horizontal heat recovery (HHR) ovens. In various embodiments, the burn profile is at least partially optimized by controlling air distribution in the coke oven. In some embodiments, the air distribution is controlled according to temperature readings in the coke oven. In particular embodiments, the system monitors the crown temperature of the coke oven. The transfer of gases between the oven crown and the sole flue is optimized to increase sole flue temperatures throughout the coking cycle. In some embodiments, the present technology allows the charge weight of coke ovens to be increased, without exceeding not to exceed (NTE) temperatures, by transferring and burning more of the VM gases in the sole flue. Embodiments of the present technology include an air distribution system having a plurality of crown air inlets positioned above the oven floor. The crown air inlets are configured to introduce air into the oven chamber in a manner that reduces bed burnout.
Specific details of several embodiments of the technology are described below with reference to
As will be described in further detail below, in several embodiments, the individual coke ovens 100 can include one or more air inlets configured to allow outside air into the negative pressure oven chamber to combust with the coal's VM. The air inlets can be used with or without one or more air distributors to direct, circulate, and/or distribute air within the oven chamber. The term “air”, as used herein, can include ambient air, oxygen, oxidizers, nitrogen, nitrous oxide, diluents, combustion gases, air mixtures, oxidizer mixtures, flue gas, recycled vent gas, steam, gases having additives, inerts, heat-absorbers, liquid phase materials such as water droplets, multiphase materials such as liquid droplets atomized via a gaseous carrier, aspirated liquid fuels, atomized liquid heptane in a gaseous carrier stream, fuels such as natural gas or hydrogen, cooled gases, other gases, liquids, or solids, or a combination of these materials. In various embodiments, the air inlets and/or distributors can function (i.e., open, close, modify an air distribution pattern, etc.) in response to manual control or automatic advanced control systems. The air inlets and/or air distributors can operate on a dedicated advanced control system or can be controlled by a broader draft control system that adjusts the air inlets and/or distributors as well as uptake dampers, sole flue dampers, and/or other air distribution pathways within coke oven systems.
In operation, volatile gases emitted from coal positioned inside the oven chamber 112 collect in the crown and are drawn downstream into downcomer channels 118 formed in one or both sidewalls 108. The downcomer channels 118 fluidly connect the oven chamber 112 with a sole flue 120, which is positioned beneath the oven floor 102. The sole flue 120 forms a circuitous path beneath the oven floor 102. Volatile gases emitted from the coal can be combusted in the sole flue 120, thereby, generating heat to support the reduction of coal into coke. The downcomer channels 118 are fluidly connected to uptake channels 122 formed in one or both sidewalls 108. A secondary air inlet 124 can be provided between the sole flue 120 and atmosphere, and the secondary air inlet 124 can include a secondary air damper 126 that can be positioned at any of a number of positions between fully open and fully closed to vary the amount of secondary air flow into the sole flue 120. The uptake channels 122 are fluidly connected to a common tunnel 128 by one or more uptake ducts 130. A tertiary air inlet 132 can be provided between the uptake duct 130 and atmosphere. The tertiary air inlet 132 can include a tertiary air damper 134, which can be positioned at any of a number of positions between fully open and fully closed to vary the amount of tertiary air flow into the uptake duct 130.
Each uptake duct 130 includes an uptake damper 136 that may be used to control gas flow through the uptake ducts 130 and within the ovens 100. The uptake damper 136 can be positioned at any number of positions between fully open and fully closed to vary the amount of oven draft in the oven 100. The uptake damper 136 can comprise any automatic or manually-controlled flow control or orifice blocking device (e.g., any plate, seal, block, etc.). In at least some embodiments, the uptake damper 136 is set at a flow position between 0 and 2, which represents “closed,” and 14, which represents “fully open.” It is contemplated that even in the “closed” position, the uptake damper 136 may still allow the passage of a small amount of air to pass through the uptake duct 130. Similarly, it is contemplated that a small portion of the uptake damper 136 may be positioned at least partially within a flow of air through the uptake duct 130 when the uptake damper 136 is in the “fully open” position. It will be appreciated that the uptake damper may take a nearly infinite number of positions between 0 and 14. With reference to
As used herein, “draft” indicates a negative pressure relative to atmosphere. For example a draft of 0.1 inches of water indicates a pressure of 0.1 inches of water below atmospheric pressure. Inches of water is a non-SI unit for pressure and is conventionally used to describe the draft at various locations in a coke plant. In some embodiments, the draft ranges from about 0.12 to about 0.16 inches of water. If a draft is increased or otherwise made larger, the pressure moves further below atmospheric pressure. If a draft is decreased, drops, or is otherwise made smaller or lower, the pressure moves towards atmospheric pressure. By controlling the oven draft with the uptake damper 136, the air flow into the oven 100 from the crown air inlets 114, as well as air leaks into the oven 100, can be controlled. Typically, as shown in
In operation, coke is produced in the ovens 100 by first charging coal into the oven chamber 112, heating the coal in an oxygen depleted environment, driving off the volatile fraction of coal and then oxidizing the VM within the oven 100 to capture and use the heat given off. The coal volatiles are oxidized within the oven 100 over an extended coking cycle and release heat to regeneratively drive the carbonization of the coal to coke. The coking cycle begins when the pusher side oven door 104 is opened and coal is charged onto the oven floor 102 in a manner that defines a coal bed. Heat from the oven (due to the previous coking cycle) starts the carbonization cycle. In many embodiments, no additional fuel other than that produced by the coking process is used. Roughly half of the total heat transfer to the coal bed is radiated down onto the top surface of the coal bed from the luminous flame of the coal bed and the radiant oven crown 110. The remaining half of the heat is transferred to the coal bed by conduction from the oven floor 102 which is convectively heated from the volatilization of gases in the sole flue 120. In this way, a carbonization process “wave” of plastic flow of the coal particles and formation of high strength cohesive coke proceeds from both the top and bottom boundaries of the coal bed.
Typically, each oven 100 is operated at negative pressure so air is drawn into the oven during the reduction process due to the pressure differential between the oven 100 and atmosphere. Primary air for combustion is added to the oven chamber 112 to partially oxidize the coal volatiles, but the amount of this primary air is controlled so that only a portion of the volatiles released from the coal are combusted in the oven chamber 112, thereby, releasing only a fraction of their enthalpy of combustion within the oven chamber 112. In various embodiments, the primary air is introduced into the oven chamber 112 above the coal bed through the crown air inlets 114, with the amount of primary air controlled by the crown air dampers 116. In other embodiments, different types of air inlets may be used without departing from aspects of the present technology. For example, primary air may be introduced to the oven through air inlets, damper ports, and/or apertures in the oven sidewalls or doors. Regardless of the type of air inlet used, the air inlets can be used to maintain the desired operating temperature inside the oven chamber 112. Increasing or decreasing primary air flow into the oven chamber 112 through the use of air inlet dampers will increase or decrease VM combustion in the oven chamber 112 and, hence, temperature.
With reference to
In various embodiments, the crown air inlets 114 are operated to introduce ambient air into the oven chamber 112 over the course of the coking cycle much in the way that other air inlets, such as those typically located within the oven doors, are operated. However, use of the crown air inlets 114 provides a more uniform distribution of air throughout the oven crown, which has shown to provide better combustion, higher temperatures in the sole flue 120 and later cross over times. The uniform distribution of the air in the crown 110 of the oven 110 reduces the likelihood that the air will contact the surface of the coal bed and create hot spots that create burn losses on the coal surface, as depicted in
The partially combusted gases pass from the oven chamber 112 through the downcomer channels 118 into the sole flue 120 where secondary air is added to the partially com busted gases. The secondary air is introduced through the secondary air inlet 124. The amount of secondary air that is introduced is controlled by the secondary air damper 126. As the secondary air is introduced, the partially combusted gases are more fully combusted in the sole flue 120, thereby, extracting the remaining enthalpy of combustion which is conveyed through the oven floor 102 to add heat to the oven chamber 112. The fully or nearly-fully combusted exhaust gases exit the sole flue 120 through the uptake channels 122 and then flow into the uptake duct 130. Tertiary air is added to the exhaust gases via the tertiary air inlet 132, where the amount of tertiary air introduced is controlled by the tertiary air damper 134 so that any remaining fraction of non-combusted gases in the exhaust gases are oxidized downstream of the tertiary air inlet 132. At the end of the coking cycle, the coal has coked out and has carbonized to produce coke. The coke is preferably removed from the oven 100 through the coke side oven door 106 utilizing a mechanical extraction system, such as a pusher ram. Finally, the coke is quenched (e.g., wet or dry quenched) and sized before delivery to a user.
As discussed above, control of the draft in the ovens 100 can be implemented by automated or advanced control systems. An advanced draft control system, for example, can automatically control an uptake damper 136 that can be positioned at any one of a number of positions between fully open and fully closed to vary the amount of oven draft in the oven 100. The automatic uptake damper can be controlled in response to operating conditions (e.g., pressure or draft, temperature, oxygen concentration, gas flow rate, downstream levels of hydrocarbons, water, hydrogen, carbon dioxide, or water to carbon dioxide ratio, etc.) detected by at least one sensor. The automatic control system can include one or more sensors relevant to the operating conditions of the coke plant. In some embodiments, an oven draft sensor or oven pressure sensor detects a pressure that is indicative of the oven draft. With reference to
An oven temperature sensor can detect the oven temperature and can be located in the oven crown 110 or elsewhere in the oven chamber 112. A sole flue temperature sensor can detect the sole flue temperature and is located in the sole flue 120. A common tunnel temperature sensor detects the common tunnel temperature and is located in the common tunnel 128. Additional temperature or pressure sensors can be positioned at other locations in the coke plant 100.
An uptake duct oxygen sensor is positioned to detect the oxygen concentration of the exhaust gases in the uptake duct 130. An HRSG inlet oxygen sensor can be positioned to detect the oxygen concentration of the exhaust gases at the inlet of a HRSG downstream from the common tunnel 128. A main stack oxygen sensor can be positioned to detect the oxygen concentration of the exhaust gases in a main stack and additional oxygen sensors can be positioned at other locations in the coke plant 100 to provide information on the relative oxygen concentration at various locations in the system.
A flow sensor can detect the gas flow rate of the exhaust gases. Flow sensors can be positioned at other locations in the coke plant to provide information on the gas flow rate at various locations in the system. Additionally, one or more draft or pressure sensors, temperature sensors, oxygen sensors, flow sensors, hydrocarbon sensors, and/or other sensors may be used at the air quality control system 130 or other locations downstream of the common tunnel 128. In some embodiments, several sensors or automatic systems are linked to optimize overall coke production and quality and maximize yield. For example, in some systems, one or more of a crown air inlet 114, a crown inlet air damper 116, a sole flue damper (secondary damper 126), and/or an oven uptake damper 136 can all be linked (e.g., in communication with a common controller) and set in their respective positions collectively. In this way, the crown air inlets 114 can be used to adjust the draft as needed to control the amount of air in the oven chamber 112. In further embodiments, other system components can be operated in a complementary manner, or components can be controlled independently.
An actuator can be configured to open and close the various dampers (e.g., uptake dampers 136 or crown air dampers 116). For example, an actuator can be a linear actuator or a rotational actuator. The actuator can allow the dampers to be infinitely controlled between the fully open and the fully closed positions. In some embodiments, different dampers can be opened or closed to different degrees. The actuator can move the dampers amongst these positions in response to the operating condition or operating conditions detected by the sensor or sensors included in an automatic draft control system. The actuator can position the uptake damper 136 based on position instructions received from a controller. The position instructions can be generated in response to the draft, temperature, oxygen concentration, downstream hydrocarbon level, or gas flow rate detected by one or more of the sensors discussed above; control algorithms that include one or more sensor inputs; a pre-set schedule, or other control algorithms. The controller can be a discrete controller associated with a single automatic damper or multiple automatic dampers, a centralized controller (e.g., a distributed control system or a programmable logic control system), or a combination of the two. Accordingly, individual crown air inlets 114 or crown air dampers 116 can be operated individually or in conjunction with other inlets 114 or dampers 116.
The automatic draft control system can, for example, control an automatic uptake damper 136 or crown air inlet damper 116 in response to the oven draft detected by an oven draft sensor. The oven draft sensor can detect the oven draft and output a signal indicative of the oven draft to a controller. The controller can generate a position instruction in response to this sensor input and the actuator can move the uptake damper 136 or crown air inlet damper 116 to the position required by the position instruction. In this way, an automatic control system can be used to maintain a targeted oven draft. Similarly, an automatic draft control system can control automatic uptake dampers, inlet dampers, the HRSG dampers, and/or a draft fan, as needed, to maintain targeted drafts at other locations within the coke plant (e.g., a targeted intersection draft or a targeted common tunnel draft). The automatic draft control system can be placed into a manual mode to allow for manual adjustment of the automatic uptake dampers, the HRSG dampers, and/or the draft fan, as needed. In still further embodiments, an automatic actuator can be used in combination with a manual control to fully open or fully close a flow path. As mentioned above, the crown air inlets 114 can be positioned in various locations on the oven 100 and can, likewise, utilize an advanced control system in this same manner.
With reference to
In various embodiments of the present technology, the burn profile of the coke oven 100 is optimized by adjusting the uptake damper position according to the crown temperature of the coke oven 100. This methodology is referred to herein as the “New Profile,” which is not limited to the exemplary embodiments identified. Rather, the New Profile simply refers to the practice of uptake damper adjustments, over the course of a coking cycle, based on predetermined oven crown temperatures. With reference to
Correlating the uptake damper 136 position with the oven crown temperature, rather than making adjustments based on predetermined time periods, allows closing the uptake damper 136 earlier in the coking cycle. This lowers the VM release rate and reduces oxygen intake, which lessens the maximum oven crown temperature. With reference to
Embodiments of the present technology that increase the sole flue temperatures are characterized by higher thermal energy storage in the structures associated with the coke oven 100. The increase in thermal energy storage benefits subsequent coking cycles by shortening their effective coking times. In particular embodiments the coking times are reduced due to higher levels of initial heat absorption by the oven floor 102. The duration of the coking time is assumed to be the amount of time required for the minimum temperature of the coal bed to reach approximately 1860° F. Crown and sole flue temperature profiles have been controlled in various embodiments by adjusting the uptake dampers 136 (e.g. to allow for different levels of draft and air) and the quantity of the air flow in the oven chamber 112. Higher heat in the sole flue 120 at the end of the coking cycle results in the absorption of more energy in the coke oven structures, such as the oven floor 102, which can be a significant factor in accelerating the coking process of the following coking cycle. This not only reduces the coking time but the additional preheat can potentially help avoid clinker buildup in the following coking cycle.
In various burn profile optimization embodiments of the present technology coking cycle in the coking oven 100 starts with an average sole flue temperature that is higher than an average designed sole flue temperature for the coking oven. In some embodiments, this is attained by closing off the uptake dampers earlier in the coking cycle. This leads to a higher initial temperature for the next coking cycle, which permits the release of additional VM. In typical coking operations the additional VM would lead to an NTE temperature in the crown of the coking oven 100. However, embodiments of the present technology provide for shifting the extra VM into the next oven, via gas sharing, or into the sole flue 120, which allows for a higher sole flue temperature. Such embodiments are characterized by a ratcheting up of the sole flue and oven crown average coking cycle temperatures while keeping below any instantaneous NTE temperatures. This is done, at least in part, by shifting and using the excess VM in cooler parts of the oven. For example, an excess of VM at the start of the coking cycle may be shifted into the sole flue 120 to make it hotter. If the sole flue temperatures approach an NTE, the system can shift the VM into the next oven, by gas haring, or into the common tunnel 128. In other embodiments where the volume of VM expires (typically around mid-cycle), the uptakes may be closed to minimize air in-leaks that would cool off the coke oven 100. This leads to a higher temperature at the end of the coking cycle, which leads to a higher average temperature for the next cycle. This allows the system to coke out at a higher rate, which allows for the use of higher coal charges.
The following Examples are illustrative of several embodiments of the present technology.
1. A method of controlling a horizontal heat recovery coke oven burn profile, the method comprising:
2. The method of claim 1 wherein the negative pressure draft draws exhaust gases from the at least one sole flue through at least one uptake channel having an uptake damper; the uptake damper being selectively movable between open and closed positions.
3. The method of claim 1 wherein the negative pressure draft is reduced over a plurality of flow reducing steps by moving the uptake damper through a plurality of increasingly flow restrictive positions over the carbonization cycle, based on the plurality of different temperatures in the oven chamber.
4. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2200° F.-2300° F. is detected.
5. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2400° F.-2450° F. is detected.
6. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2500° F. is detected.
7. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2550° F. to 2625° F. is detected.
8. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2650° F. is detected.
9. The method of claim 1 wherein one of the plurality of flow restrictive positions occurs when a temperature of approximately 2700° F. is detected.
10. The method of claim 1 wherein:
11. The method of claim 1 wherein the at least one air inlet includes at least one crown air inlet positioned in the oven crown above the oven floor.
12. The method of claim 11 wherein the at least one crown air inlet includes an air damper that is selectively movable between open and closed positions to vary a level of fluid flow restriction through the at least one crown air inlet.
13. The method of claim 1 wherein the bed of coal has a weight that exceeds a designed bed charge weight for the horizontal heat recovery coke oven; the oven chamber reaching a maximum crown temperature that is less than a designed not to exceed maximum crown temperature for the horizontal heat recovery coke oven.
14. The method of claim 13 wherein the bed of coal has a weight that is greater than a designed coal charge weight for the coke oven.
15. The method of claim 1 further comprising:
16. A system for controlling a horizontal heat recovery coke oven burn profile, the method comprising:
17. The system of claim 16 wherein the at least one air inlet includes at least one crown air inlet positioned in the oven crown above the oven floor.
18. The system of claim 16 wherein the at least one crown air inlet includes an air damper that is selectively movable between open and closed positions to vary a level of fluid flow restriction through the at least one crown air inlet.
19. The system of claim 16 wherein the controller is further operative to increase a temperature of the at least one sole flue above a designed sole flue operating temperature for the horizontal heat recovery coke oven by moving the uptake damper in a manner that reduces the negative pressure draft over a plurality of separate flow reducing steps, based on the plurality of temperature changes in the oven chamber.
20. The system of claim 16 wherein:
21. A method of controlling a horizontal heat recovery coke oven burn profile, the method comprising:
initiating a carbonization cycle of a bed of coal within an oven chamber of a horizontal heat recovery coke oven;
22. The method of claim 21 wherein the negative pressure draft on the horizontal heat recovery coke oven draws air into the oven chamber through at least one air inlet, positioned to place the oven chamber in fluid communication with an environment exterior to the horizontal heat recovery coke oven.
23. The method of claim 21 wherein the negative pressure draft is reduced by actuation of an uptake damper associated with at least one uptake channel in fluid communication with the oven chamber.
24. The method of claim 23 wherein the negative pressure draft is reduced over a plurality of flow reducing steps by moving the uptake damper through a plurality of increasingly flow restrictive positions over the carbonization cycle, based on the plurality of different temperatures in the oven chamber.
25. The method of claim 21 further comprising:
26. The method of claim 21 wherein the bed of coal has a weight that exceeds a designed bed charge weight for the horizontal heat recovery coke oven; the oven chamber reaching a maximum crown temperature during the carbonization cycle that is less than a designed not to exceed maximum crown temperature for the horizontal heat recovery coke oven.
27. The method of claim 26 further comprising:
28. The method of claim 27 wherein the bed of coal has a weight that is greater than a designed coal charge weight for the horizontal heat recovery coke oven, defining a coal processing rate that is greater than a designed coal processing rate for the horizontal heat recovery coke oven.
Although the technology has been described in language that is specific to certain structures, materials, and methodological steps, it is to be understood that the invention defined in the appended claims is not necessarily limited to the specific structures, materials, and/or steps described. Rather, the specific aspects and steps are described as forms of implementing the claimed invention. Further, certain aspects of the new technology described in the context of particular embodiments may be combined or eliminated in other embodiments. Moreover, while advantages associated with certain embodiments of the technology have been described in the context of those embodiments, other embodiments may also exhibit such advantages, and not all embodiments need necessarily exhibit such advantages to fall within the scope of the technology. Accordingly, the disclosure and associated technology can encompass other embodiments not expressly shown or described herein. Thus, the disclosure is not limited except as by the appended claims. Unless otherwise indicated, all numbers or expressions, such as those expressing dimensions, physical characteristics, etc. used in the specification (other than the claims) are understood as modified in all instances by the term “approximately.” At the very least, and not as an attempt to limit the application of the doctrine of equivalents to the claims, each numerical parameter recited in the specification or claims which is modified by the term “approximately” should at least be construed in light of the number of recited significant digits and by applying ordinary rounding techniques. Moreover, all ranges disclosed herein are to be understood to encompass and provide support for claims that recite any and all subranges or any and all individual values subsumed therein. For example, a stated range of 1 to 10 should be considered to include and provide support for claims that recite any and all subranges or individual values that are between and/or inclusive of the minimum value of 1 and the maximum value of 10; that is, all subranges beginning with a minimum value of 1 or more and ending with a maximum value of 10 or less (e.g., 5.5 to 10, 2.34 to 3.56, and so forth) or any values from 1 to 10 (e.g., 3, 5.8, 9.9994, and so forth).
This application is a continuation of U.S. patent application Ser. No. 16/428,014, filed on May 31, 2019, which is a divisional application of U.S. patent application Ser. No. 14/839,551, filed on Aug. 28, 2015, which claims the benefit of priority to U.S. Provisional Patent Application No. 62/043,359, filed Aug. 28, 2014, the disclosures of which are incorporated herein by reference in their entireties.
Number | Date | Country | |
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62043359 | Aug 2014 | US |
Number | Date | Country | |
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Parent | 14839551 | Aug 2015 | US |
Child | 16428014 | US |
Number | Date | Country | |
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Parent | 16428014 | May 2019 | US |
Child | 17155719 | US |