Narrative:

I was flying into a busy class B airport talking with approach. I was descending to 6;000 ft. My right-hand engine was having problems which required that engine to be shutdown. I had my hands full securing the right-hand engine. I did not want to declare an emergency; approach asked twice. On my way to 6;000 ft I descended through 6;000 ft to 5;700 ft. I asked approach if they could expedite my arrival into the airport which they did.this was my first time flying into this class B area; the sun was setting and I was landing on runway xx it was hard to see the airport but [I] was vectored for locxx got visual and landed. I did not want to declare an emergency; but I feel in a heavy workload situation I should have asked for a block altitude.

Google
 

Original NASA ASRS Text

Title: A BE-20 pilot shut an engine down on approach to a Class B airport but declined to declare an emergency.

Narrative: I was flying into a busy Class B airport talking with Approach. I was descending to 6;000 FT. My right-hand engine was having problems which required that engine to be shutdown. I had my hands full securing the right-hand engine. I did not want to declare an emergency; Approach asked twice. On my way to 6;000 FT I descended through 6;000 FT to 5;700 FT. I asked Approach if they could expedite my arrival into the airport which they did.This was my first time flying into this Class B area; the sun was setting and I was landing on Runway XX it was hard to see the airport but [I] was vectored for LOCXX got visual and landed. I did not want to declare an emergency; but I feel in a heavy workload situation I should have asked for a block altitude.

Data retrieved from NASA's ASRS site as of July 2013 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.