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An injection assembly for use with a combustor is provided. The injection assembly includes an effusion plate that has a plurality of plate openings and a plate sleeve having a sidewall portion that includes a forward edge. The forward edge is coupled to the effusion plate such that the effusion pla

An injection assembly for use with a combustor is provided. The injection assembly includes an effusion plate that has a plurality of plate openings and a plate sleeve having a sidewall portion that includes a forward edge. The forward edge is coupled to the effusion plate such that the effusion plate is oriented obliquely with respect to a centerline extending through the combustor. The injection assembly also includes a plurality of ring extensions where each of the ring extensions is coupled to one of the plurality of plate openings. Each ring extension extends rearwardly into the plate sleeve.

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What is claimed is: 1. An injection assembly for use with a combustor, said assembly comprising: an effusion plate comprising a plurality of plate openings; a plate sleeve comprising a sidewall portion comprising a forward edge, said forward edge coupled to said effusion plate such that said effusi

What is claimed is: 1. An injection assembly for use with a combustor, said assembly comprising: an effusion plate comprising a plurality of plate openings; a plate sleeve comprising a sidewall portion comprising a forward edge, said forward edge coupled to said effusion plate such that said effusion plate is oriented obliquely with respect to a centerline extending through the combustor; and a plurality of ring extensions, each of said ring extensions is coupled to one of said plurality of plate openings, each said ring extension extends rearwardly into said plate sleeve, each of said ring extensions comprises a sidewall coupled to said effusion plate, said sidewall comprising a first end aligned obliquely with respect to the centerline, said plurality of ring extensions comprise at least one first ring extension having a first length and at least one second ring extension having a second length that is different than the first length. 2. An assembly in accordance with claim 1 wherein said forward edge defines a sleeve opening of said plate sleeve, said sleeve opening is substantially elliptically-shaped. 3. An assembly in accordance with claim 1 wherein at least one of said plurality of ring extensions is configured to receive a combustor premixer therein. 4. An assembly in accordance with claim 1 wherein said effusion plate further comprises a plurality of cooling holes. 5. An assembly in accordance with claim 1 wherein each at least one of said plurality of ring extensions is slotted. 6. An assembly in accordance with claim 2 wherein said effusion plate is substantially elliptically-shaped. 7. An assembly in accordance with claim 1 wherein said injection assembly is rotatable relative to the centerline extending through the combustor. 8. A combustor comprising: a plurality of premixers; and a cap assembly comprising an injection assembly, said injection assembly comprising: an effusion plate comprising a plurality of plate openings; a plate sleeve comprising a sidewall portion comprising a forward edge, said forward edge coupled to said effusion plate such that said effusion plate is oriented obliquely with respect to a centerline extending through the combustor; and a plurality of ring extensions, each of said ring extensions is coupled to one of said plurality of plate openings, each said ring extension extends rearwardly into said plate sleeve, each of said ring extensions comprises a sidewall coupled to said effusion plate, said sidewall comprising a first end that is aligned obliquely with respect to the centerline, and wherein each of said ring extensions is coupled in flow communication to one of said plurality of premixers, said plurality of ring extensions comprise at least one first ring extension having a first length and at least one second ring extension having a second length that is different than the first length. 9. A combustor in accordance with claim 8 wherein said forward edge defines a sleeve opening of said plate sleeve, said sleeve opening is substantially elliptically-shaped. 10. A combustor in accordance with claim 8 wherein said cap assembly facilitates reducing combustion dynamics of said combustor. 11. A combustor in accordance with claim 8 wherein each of said plurality of premixers comprises at least one swirler and a centerbody. 12. A combustor in accordance with claim 8 wherein at least one of said plurality of premixers comprises a fuel injection outlet comprising a plurality of fuel injection orifices configured to discharge fuel into the premixer. 13. A combustor in accordance with claim 8 wherein said effusion plate further comprises a plurality of cooling holes. 14. A combustor in accordance with claim 12 wherein a Rayleigh Gain (G) defined for said plurality of premixers is defined as: G = ∑ j = 1 N ⁢ cos ( ω ⁢ ⁢ L j U ) ; wherein for each said premixer U is the mean flow velocity of the fuel-air mixture, ω is the frequency of oscillations, and Lj is the distance L from said fuel injection outlet to said effusion plate, wherein G is zero or negative. 15. A combustor in accordance with claim 8 wherein each of said plurality of premixers is removably coupled to one of said plurality of ring extensions. 16. A method for assembling a combustor to facilitate reducing combustion dynamics in the combustor, said method comprising: providing at least one cap assembly that includes an injection assembly having an effusion plate including a plurality of plate openings, a plate sleeve including a sidewall portion having a forward edge, the forward edge coupled to the effusion plate such that the effusion plate is oriented obliquely with respect to a centerline extending through the combustor, and a plurality of ring extensions that are each coupled to one of the plurality of plate openings such that the ring extensions each extend into the plate sleeve, each of the ring extensions includes a sidewall coupled to the effusion plate, wherein the sidewall has a first end that is aligned obliquely with respect to the centerline, and wherein the plurality of ring extensions include at least one first ring extension having a first length and at least one second ring extension having a second length that is different than the first length; and coupling each ring extension to a premixer. 17. A method in accordance with claim 16 wherein coupling each ring extension to a premixer comprises coupling the ring extension to the premixer to facilitate reducing combustion dynamics in the combustor. 18. A method in accordance with claim 16 wherein providing at least one cap assembly comprises providing at least one cap assembly that includes the forward edge defining a sleeve opening of the plate sleeve, wherein the sleeve opening is substantially elliptically-shaped. 19. A method in accordance with claim 16 wherein coupling each ring extension to a premixer comprises coupling each ring extension to a premixer having at least one swirler and a centerbody. 20. A method in accordance with claim 16 wherein providing at least one cap assembly comprises providing at least one cap assembly that includes the effusion plate having a plurality of cooling holes.