Burner with Adjustable End Cap and Method of Operating Same
20170350589 · 2017-12-07
Inventors
- Rakesh Zala (Thomasville, GA, US)
- Steven L. Whirry (Thomasville, GA, US)
- Mark T. Salentine (Thomasville, GA, US)
Cpc classification
F23C3/002
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F23B1/00
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F24H1/26
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F23C9/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F22B9/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F23C3/004
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F22B13/04
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
International classification
F23C9/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
F22B9/08
MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
Abstract
A boiler system comprises a housing with a generally cylindrical shape extends between first and second walls to provide a generally cylindrical space. A fire tube is positioned near a bottom of the generally cylindrical housing and extends longitudinally from a first wall of the cylindrical housing to a fire tube end wall. The boiler system also includes a burner with a generally cylindrical housing which defines a generally cylindrical chamber and an end plate. The burner extends into the fire tube, and the fire tube provides a combustion chamber where combustion of an air-fuel mixture is accomplished using the burner. The end plate of the burner is adjustable so as to adjust the flame that extends from within the burner housing into the fire tube.
Claims
1. A boiler system comprising: a housing having a generally cylindrical shape and extending between first and second walls to provide a generally cylindrical space; a fire tube positioned near a bottom of the generally cylindrical housing and extending longitudinally from a first wall of the cylindrical housing to a fire tube end wall, a burner having a generally cylindrical housing and an end plate, the housing defining a generally cylindrical chamber; wherein the fire tube provides a combustion chamber where combustion of an air-fuel mixture is accomplished using the burner, the burner extending into the fire tube; and wherein the end plate of the burner is adjustable so as to adjust a flame that extends from within the burner housing into the fire tube.
2. The boiler system of claim 1 further comprising a set of tubes located above a portion of the fire tube and generally spanning a length extending between the first and the second walls of the cylindrical housing.
3. The boiler system of claim 2, further comprising a chamber providing a space between and connecting the fire tube and the set of tubes.
4. The boiler system of claim 3, wherein heated combustion gases flow from the fire tube, through the chamber space, and through the set of tubes.
5. The boiler system of claim 1, wherein the generally cylindrical housing of the fire tube has an interior surface which is generally smooth.
6. The boiler system of claim 1, wherein the generally cylindrical housing of the fire tube has an interior surface which is corrugated.
7. The boiler system of claim 1, wherein an amount of flue gas is recirculated into the combustion chamber after existing the set of tubes.
8. The boiler system of claim 1, wherein the end plate of the burner is adjusted using a rotary actuator.
9. The boiler system of claim 1, wherein the end plate of the burner is adjusted using a linear actuator.
10. The boiler system of claim 1, wherein the burner comprises at least two exits for combustible gases.
11. The boiler system of claim 1, wherein the burner has two exits for combustible gases.
12. The boiler system of claim 11, wherein a first exit comprises a series of discharge openings arranged in circumferentially spaced-apart relation to one another around the circumference of the burner.
13. The boiler system of claim 12, wherein the series of discharge openings are defined by a downstream end of the burner housing, the end plate, and a set of discharge plate spacers.
14. The boiler system claim 13, wherein the series of discharges ports comprises four discharge openings.
15. The boiler system of claim 14, wherein a second exit comprises a series of air-fuel discharge apertures through the end plate.
16. The boiler system of claim 15, wherein the series of air-fuel discharge apertures are arranged in a tight grouping through the end plate.
17. The boiler system of claim 1, wherein the air-fuel mixture is a premix.
18. The boiler system of claim 1, wherein the burner is a premix burner which utilized a premix of air and fuel.
19. The boiler system of claim 18, wherein the end plate of the burner is adjustable so as to adjust the amount of premix exiting the burner, thereby adjusting the flame that extends from within the burner housing into the fire tube.
20. A burner system for use with a boiler system, the burner system comprising: a burner comprising a burner housing having a generally cylindrical shape and extending from a first end wall to a second end wall; the burner extending into a fire tube of a boiler; wherein the second end wall of the burner housing is adjustable so as to adjust the flame that extends from within the burner housing into the boiler fire tube.
21. The burner system of claim 20, wherein the burner comprises at least two exits for combustible gases.
22. The boiler system of claim 20, wherein the burner has two exits for combustible gases.
23. The boiler system of claim 20, wherein a first exit comprises a series of discharge openings arranged in circumferentially spaced-apart relation to one another around the circumference of the burner.
24. The boiler system of claim 23, wherein the series of discharge openings are defined by a downstream end of the burner housing, the end plate, and a set of discharge plate spacers.
25. The boiler system of claim 24, wherein the series of discharges ports comprises four discharge openings.
26. The boiler system of claim 21, wherein a second exit comprises a series of air-fuel discharge apertures through the end plate.
27. The boiler system of claim 26, wherein the series of air-fuel discharge apertures are arranged in a tight grouping through the end plate.
28. A process for heating a medium using a boiler system, the process comprising: establishing a pilot flame by determining whether an end cap of a burner is in a minimum gap position and, if not, moving the end cap to the minimum gap position; increasing the firing rate of the boiler system by moving the end cap to a predefined position; and maintaining firing of the boiler system with the end cap at the predefined position.
29. The process of claim 28, further comprising adjusting the end cap to a second predefined position to adjust the firing rate of the boiler.
30. The process of claim 28, further comprising providing a volume of combustible air-fuel mixture to a burner and combusting the combustible air-fuel mixture to produce a flame and increasing the firing rate of the boiler system by moving the end cap to a predefined position to adjust the volume of combustible air-fuel mixture exiting the burner.
31. The process of claim 30, further comprising introducing an amount of recycled flue gas to the combustible air-fuel mixture prior to providing the combustible air-fuel mixture to the burner.
Description
BRIEF DESCRIPTION OF THE DRAWINGS
[0011] Features of the present disclosure which are believed to be novel are set forth with particularity in the appended claims. Embodiments of the disclosure are disclosed with reference to the accompanying drawings and are for illustrative purposes only. The disclosure is not limited in its application to the details of construction or the arrangement of the components illustrated in the drawings. The disclosure is capable of other embodiments or of being practiced or carried out in other various ways. Like reference numerals are used to indicate like components. In the drawings:
[0012]
[0013]
[0014]
[0015]
[0016]
[0017]
[0018]
[0019]
[0020]
[0021]
[0022]
[0023]
[0024]
DETAILED DESCRIPTION
[0025]
[0026] Extending longitudinally (and as shown horizontally) of the boiler 10 and generally mounted within the shell 12 and generally near its bottom 28 is a main or fire tube or furnace 30, which provides a combustion chamber or heat-transfer tube 32 that also serves as an air/fuel mixing chamber. The combustion chamber 32 is generally bounded by a shell structure 34, which in the present embodiment takes a cylindrical shape having a circumference. The shell structure 34 extends longitudinally from the front furnace end wall 35 which, in the present embodiment is a portion of the front inner end wall 20, and to a furnace end wall 36, where the rear end wall 36 can, in at least some embodiments, take the form of a tube sheet.
[0027] As shown, for example, in
[0028] At or near its front end wall 35, the fire tube 30 opens to accommodate a burner 50 (
[0029] The burner 50 may also be retrofitted onto an existing device to replace a less efficient air-fuel burner or a higher NO.sub.x producing burner. The fire tube 30 extends to the furnace end wall 36 and opens to a turnaround space 42 between the furnace end wall 36 and inner rear end wall 26 of the boiler 10. In accordance with at least some embodiments, the rear outer end wall 24 and/or inner rear end wall 26 are constructed so that they can be opened, for example as a hinged door, to permit access to the turnaround space 42 and/or other features or structures of the boiler 10, and thus in at least such embodiments can be described as an access door.
[0030] Also extending longitudinally (and as shown horizontally) of the boiler 10 is a set of tubes, generally referenced by numeral 43. While shown in
[0031] In accordance with further embodiments, such as, for example, shown in
[0032] The burner 50 is provided to accomplish combustion within the main tube 30. In at least some embodiments, the burner 50 can take the form an air-fuel burner having a burner head 52 often taking the form of a cylinder adapted to receive a combustible air-fuel mixture, indicated by arrows 76. Air for the air-fuel mixture is provided by way of an air inlet 54 formed in a housing 56, which includes or provides for a damper 58 for opening or closing the air inlet to selectively provide an air flow, indicated by arrows 59.
[0033] In an embodiment, and such as shown in
[0034] In accordance with at least some embodiments, the burner 50 can be described as a “pre-mix” burner. In other words, the air, fuel and recycled flue gas (if any) is mixed in an optimum or desired ratio before it reaches the first and second exists 47, 49. In some embodiments, the air-fuel mixture represented by arrows 76 may be referred to as premix 76.
[0035] In the embodiment illustrated in
[0036] In at least some embodiments, and as shown in
[0037] In a further embodiment, as shown in
[0038] The difference between the embodiments shown in
[0039] In the exemplary embodiments shown in
[0040] While the overall components of the boiler system 10′″ are similar or the same as those provided with respect to
[0041] In general, the overall components of the boiler systems 10′/10″/10′″ are similar or the same as those provided with respect to
[0042] Also as shown, with reference to
[0043] In accordance with embodiments of the present disclosure, the main or fire tube 30/30′/30″/30′″ provides for complete combustion of heated gases, as well as passage of such heated gases to the rear portion of the fire tube 30/30′/30″/30′″ and into the turnaround space 42/42′/42″/42′″, with such passage or flow indicated by arrows 66/66′/66″/66′″ and 67/67′/67″67′″ respectively. The turnaround space 42/42′/42″/42′″ provides for passage of the heated gases to the set of tubes 43/43′/43″/43′″ located, as shown, above or vertically in relation to the furnace 30/30′/30″30′″, which such flow indicated by arrows 68/68′/68″/68′″. The set of tubes 43/43′/43″/43′″ provides for passage of heated gases in to the space 46/46′/46″/46′″, and then to the exhaust 48/48′/48″/48′″, as indicated by arrows 70/70′/70″/70′″, where the gases are discharged, as indicated by arrows 72/72′/72″/72′″.
[0044] Now referring to the burner 50′ in further detail, and with reference to
[0045] As shown with reference to
[0046] As further shown with reference to
[0047] Illustratively, and as mentioned above, the burner 50′ comprises an end plate 44′ and an end plate actuator 45′, as shown perhaps most clearly in
[0048] As shown with respect to
[0049] As shown in
[0050] As shown with reference to
[0051] The second exit 49′, as shown perhaps best in
[0052]
[0053] Although
[0054] In one embodiment, the first exit 47′ is generally configured to communicate about 85% to about 97% of the combustible fuel-air mixture by volume into the combustion chamber 32′ depending on whether the furnace 10′ is running at low fire or high fire (or somewhere in between). In one embodiment, the first exit 47′ is configured to communicated about 85% to about 90% of the combustible fuel-air mixture by volume into the combustion chamber 32′ at low fire and about 95% to about 97% of the combustible fuel-air mixture by volume into the combustion chamber 32′ at high fire. The second exit 49′ is configured to communicate about 3% to about 15% of the fuel-air mixture by volume in the downstream direction (e.g., ultimately into the combustion chamber 32′) depending on whether the furnace 10′ is running at low fire or high fire (or somewhere in between). In one embodiment, the second exit 49′ is configured to communicate about 10% to about 15% of the combustible fuel-air mixture by volume into the combustion chamber 32′ at low fire and about 3% to about 5% of the combustible fuel-air mixture by volume into the combustion chamber 32′ at high fire.
[0055] The first exit 47′ is formed in the burner 50′ so that the detached first flame combustion products are mixed within the combustible air-fuel mixture flowing through the first exit 47′. The flame combustion products are able to move within the combustion chamber 32′ as a result of this combination with the combustible air-fuel mixture and the design of the first exit 47′.
[0056]
[0057] Because the end plate 44′ will never be in contact with the burner head 52′ (e.g., there will always be a gap between the end plate 44′ and the burner head 52′), in an embodiment, the low fire position will be that at which the end plate 44′ is as close to the burner head 52′ as permitted.
[0058] When the burner is at high fire, the end plate 44′ is further away from the burner 50′, thereby creating a larger first exit 47′. In other words, the distance between the end plate 44′ and the burner head 52′ is d.sub.2, and d.sub.1 is less than d.sub.2. In an embodiment, when at high fire, the end plate 44′ is as far away from the burner 50′ as permitted by the actuator 45′ or other components of the furnace 30′. As will be appreciated, the end plate 44′ will be somewhere between the low fire and high fire positions when at mid fire.
[0059]
[0060] In an embodiment, low fire is defined as the state of the burner 50′ when the end plate 44′ is as close to the burner 50′ as permitted. In one embodiment, the low fire state is defined as the state of the burner 50′ when the end plate 44′ is positioned to provide less than or equal to 25% input of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′. In one embodiment, the low fire state is defined as the state of the burner 50′ when the end plate 44′ is positioned to provide about 25% input of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′. In one embodiment, low fire is defined as the state of the burner 50′ when the end plate 44′ is as close to the burner 50′ as permitted, at which position about 25% input of premix, by volume, is provided into the combustion chamber 32′, based on the volume of premix in the burner 50′.
[0061]
[0062] In other words, in one embodiment, high fire is defined as the state of the burner when the end plate 44′ is a far from the burner 50′ as permitted. In one embodiment, when at high fire, the end plate 44′ is positioned to provide 100% of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′. In one embodiment, when at high fire, the end plate 44′ is positioned to provide about 100% of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′. In one embodiment, high fire is defined as the state of the burner 50′ when the end plate 44′ is as far from the burner 50′ as permitted, at which position about 100% input of premix, by volume, is provided into the combustion chamber 32′, based on the volume of premix in the burner 50′.
[0063] In an embodiment, the burner 50′ also has a mid-fire state which is associated with a volumetric flow of the premix which is between that of the low fire state and the high fire state. For example, in an embodiment, the mid fire state is defined as the state of the burner 50′ when the end plate 44′ permits about 50% of the total volumetric flow of the premix into the combustion chamber 32′, based on the volume of premix in the burner 50′. In a further embodiment, the mid fire state is defined as the state of the burner 50′ when the end plate 44′ permits 50% of the total volumetric flow of the premix into the combustion chamber 32′, based on the volume of premix in the burner 50′. However, in further embodiments, a mid-fire state may correspond to an end plate 44′ position which permits about 45% to about 55% of the total volumetric flow of the premix into the combustion chamber 32′, based on the volume of premix in the burner 50′.
[0064] In one embodiment, when at low fire, the end plate 44′ is positioned to provide about 25% input of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′; when at mid fire, the end plate 44′ is positioned to provide about 50% input of premix, by volume, into the combustion chamber 32′, based on the volume of premix in the burner 50′; and when at high fire, the end plate 44′ is positioned to provide about 100% input of premix, by volume, into the combustion chamber 32′, based on the total volume of premix in the burner 50′.
[0065] While the industry generally defines the low, mid and high fire states as the states at which about 25%, about 50% and about 100% of the premix, respectively, by volume, is provided into a combustion chamber, based on the total volume of premix in a burner, it is to be understood that these percentages may vary slightly due to burner design/configuration and/or other factors as will be appreciated by one of skill in the art.
[0066] It will further be understood and appreciated that the volumetric flow through each of the available exists (e.g., the first exit 47′ and second exit 49′ in the case of embodiments as shown, for example, in
[0067] Furthermore, the first exit 47′ conducts more premix into the combustion chamber 32′ at high fire than at low fire. Table A below provides exemplary ranges of the relative amount of premix flow through each of the exits at high and low fire states. Advantageously, as reflected in Table A, the movable end plate permits variation of the premix flow percentages for each of the provided exits (e.g., 2 exits, 3 exits, etc.) by virtue adjusting the end cap position.
TABLE-US-00001 TABLE A Premix Flow Percentages High Fire Low Fire First Exit (End Plate Gap) 92-96% 84-88% Second Exit (End Plate Holes) 3-6% 9-12% Third Exit (Firing Tube Slots) 1-2% 3-4%
[0068] In an embodiment, the position of the end plate 44′ is continually adjustable of the entire range permitted by the actuator 45′ and/or other components of the furnace 30′. However, in other embodiments, it is possible for the end plate 44′ to have pre-determined and defined positions spanning between the low and high fire positions corresponding to a mid fire position and other pre-determined intermediate fire positions.
[0069] As will be appreciated by one skilled in the art, the exact width of the first exit 47′ (e.g., distance between the end of the burner 50′ and the end plate 44′) depends on the dimensions of the burner, and particularly the volume of the burner. Exemplary gap dimensions for two exemplary burner styles are provided in Table B, below.
TABLE-US-00002 TABLE B End Gap Dimensions for HP Burners Input 350 HP (inches) 500 HP (inches) Low Fire (25%) 0.75 1.00 Mid Fire (50%) 0.985 1.562 High Fire (100%) 1.680 2.625
[0070]
[0071] In embodiments, the present boiler systems, such as described, for example, with reference to boiler system 10′, are configured to reduce the amount of NOx, and the amount of NOx is dependent on the amount of flue gas recirculation, if any. For example, when the boiler system 10′ uses flue gas recirculation, such as, for example, described with reference to
[0072]
[0073]
[0074] After warming is complete, a high fire state may be used or another volumetric flow amount that is between high fire and low fire, depending on the amount of heat needed to be transferred to the adjacent medium. In other words, the end cap gap is increased until a desirable (typically predetermined) fire state is reached. The firing rate is therefore increased (1006), and as the firing rate increases, it must be determined if the end cap is moved to a predefined firing position (step 1007). The predetermined firing position corresponds to a desired firing rate as demanded by local system/load. If yes, then firing is continued (1008). If no, then the end cap is modulated until moved to the predetermined firing position (1009). Once the end cap is in the predetermined firing position, the furnace is kept at that steady state to meet the demand (1010) and the process ends (1011).
[0075] In an embodiment, the process further comprises adjusting the end cap to a second predefined position in order to adjust the firing rate of the boiler.
[0076] In an embodiment, the process further comprises providing a volume of combustible air-fuel mixture to a burner and combusting the combustible air-fuel mixture to produce a flame.
[0077] In an embodiment, the process further comprises providing a volume of combustible air-fuel mixture to a burner, combusting at least a portion of the combustible air-fuel mixture to produce a flame, and increasing the firing rate of the boiler system by moving the end cap to a predefined position to adjust the volume of combustible air-fuel mixture exiting the burner.
[0078] In an embodiment, the process further includes introducing an amount of recycled flue gas to the combustible air-fuel mixture prior to providing the combustible air-fuel mixture to the burner.
[0079] A boiler system may comprise two or more embodiments described herein. Any reference to orientation (e.g., horizontal, vertical, upper, lower, front, rear, and the like) is made with reference to the specific drawing for teaching purposes only and should not be considered limiting.
[0080] Embodiments of the present disclosure are further described with reference to the numbered embodiments below:
[0081] E1. In an embodiment, a boiler system comprises a housing having a generally cylindrical shape and extending between first and second walls to provide a generally cylindrical space; a fire tube positioned near a bottom of the generally cylindrical housing and extending longitudinally from a first wall of the cylindrical housing to a fire tube end wall; a burner having a generally cylindrical housing and an end plate, the housing defining a generally cylindrical chamber; wherein the fire tube provides a combustion chamber where combustion of an air-fuel mixture is accomplished using the burner, the burner extending into the fire tube; and wherein the end plate of the burner is adjustable so as to adjust the flame that extends from within the burner housing into the fire tube.
[0082] E2. The boiler system of E1 further comprising a set of tubes located above a portion of the fire tube and generally spanning a length extending between the first and the second walls of the cylindrical housing. E3. The boiler system of E2, further comprising a chamber providing a space between and connecting the fire tube and the set of tubes. E4. The boiler system of E3, wherein heated combustion gases flow from the fire tube, through the chamber space, and through the set of tubes. E5. The boiler system of one or more of the preceding embodiments, wherein the generally cylindrical housing of the fire tube has an interior surface which is generally smooth. E6. The boiler system of any of E1-E4, wherein the generally cylindrical housing of the fire tube has an interior surface which is corrugated. E7. The boiler system of one or more of the preceding embodiments, wherein an amount of flue gas is recirculated into the combustion chamber after existing the set of tubes. E8. The boiler system of one or more of the preceding embodiments, wherein the end plate of the burner is adjusted using a rotary actuator. E9. The boiler system of any one of E1-E7, wherein the end plate of the burner is adjusted using a linear actuator. E10. The boiler system of any of the preceding embodiments, wherein the burner comprises at least two exits for combustible gases. E11. The boiler system of any of the preceding embodiments, wherein the burner has two exits for combustible gases. E12. The boiler system of any of E10-E11, wherein a first exit comprises a series of discharge openings arranged in circumferentially spaced-apart relation to one another around the circumference of the burner. E13. The boiler system of E12, wherein the series of discharge openings are defined by a downstream end of the burner housing, the end plate, and a set of discharge plate spacers. E14. The boiler system of any of E12-E13, wherein the series of discharges ports comprises four discharge openings. E15. The boiler system of any of E10-E14, wherein a second exit comprises a series of air-fuel discharge apertures through the end plate. E16. The boiler system of E15, wherein the series of air-fuel discharge apertures are arranged in a tight grouping through the end plate. E17. The boiler system of any one of E1-E16, wherein the air-fuel mixture is a premix. E18. The boiler system of any one of E1-E17, wherein the burner is a premix burner which utilized a premix of air and fuel. E19. The boiler system of any one of E17-E18, wherein the end plate of the burner is adjustable so as to adjust the amount of premix exiting the burner, thereby adjusting the flame that extends from within the burner housing into the fire tube.
[0083] E20. A burner system for use with a boiler system, the burner system comprising: a burner comprising a burner housing having a generally cylindrical shape and extending from a first end wall to a second end wall; the burner extending into a fire tube of a boiler; wherein the second end wall of the burner housing is adjustable so as to adjust the flame that extends from within the burner housing into the boiler fire tube.
[0084] E21. The burner system of E20, wherein the burner comprises at least two exits for combustible gases. E22. The boiler system of any of E20-E21, wherein the burner has two exits for combustible gases. E23. The boiler system of any of E20-E22, wherein a first exit comprises a series of discharge openings arranged in circumferentially spaced-apart relation to one another around the circumference of the burner. E. 24. The boiler system of E23, wherein the series of discharge openings are defined by a downstream end of the burner housing, the end plate, and a set of discharge plate spacers. E25. The boiler system of any of E23-E24, wherein the series of discharges ports comprises four discharge openings. E26. The boiler system of any of E21-E25, wherein a second exit comprises a series of air-fuel discharge apertures through the end plate. E27. The boiler system of E26, wherein the series of air-fuel discharge apertures are arranged in a tight grouping through the end plate.
[0085] E28. A process for heating a medium using a boiler system, the process comprising: establishing a main flame by determining whether an end cap of a burner is in a minimum gap position and, if not, moving the end cap to the minimum gap position; increasing the firing rate of the boiler system by moving the end cap to a predefined position; and maintaining firing of the boiler system with the end cap at the predefined position.
[0086] E29. The process of E28, further comprising adjusting the end cap to a second predefined position to adjust the firing rate of the boiler. E30. The process of any of E28-E29, further comprising providing a volume of combustible air-fuel mixture to a burner and combusting the combustible air-fuel mixture to produce a flame and increasing the firing rate of the boiler system by moving the end cap to a predefined position to adjust the volume of combustible air-fuel mixture exiting the burner. E31. The process of E30, further comprising introducing an amount of recycled flue gas to the combustible air-fuel mixture prior to providing the combustible air-fuel mixture to the burner. Notwithstanding the above description, it should be appreciated that the present disclosure is intended to encompass numerous other systems, arrangements, and operational processes in addition to those descripted above. In reference to the preceding paragraphs and the aforementioned figures, although various embodiments of the present invention have been described above, it should be understood that embodiments have been presented by way of example, and not limitation. A person of ordinary skill in the art will recognize that there are various changes that can be made to the present invention without departing from the spirit and scope of the present invention. Therefore, the invention should not be limited by any of the above-described example embodiments, but should be defined only in accordance with the following claims and equivalents of the claimed invention presented herein.