BEECHCRAFT PREMIER CAPT REPORTS ALTITUDE OVERSHOOT WITH FO FLYING; AFTER ELECTRIC PITCH TRIM FAILURE. FLIGHT CONTINUES TO DESTINATION USING STANDBY TRIM SYSTEM.

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MY COPLT WAS CLBING THE ACFT TO OUR ASSIGNED ALT OF 3000 FT MSL AFTER TKOF. UPON REACHING 3000 FT HE ALERTED ME THAT HE COULD NOT LEVEL THE AIRPLANE DUE TO EXCESSIVE PRESSURE ON THE CTLS AND THE ELECTRIC TRIM WAS NOT FUNCTIONING. I TOOK CTL OF THE ACFT AND ATTEMPTED TO LEVEL THE ACFT AT 3000 FT. WE EXCEEDED THE ASSIGNED ALT BY APPROX 300-400 FT. SIMULTANEOUSLY; I HAD MY COPLT TELL APCH CTL THAT WE NEEDED TO RETURN TO THE ARPT. I REDUCED THRUST TO A MINIMUM AND LEVELED THE ACFT AND FOLLOWED THE PROC OUTLINED IN THE CHKLIST FOR PITCH/TRIM MALFUNCTIONS. AFTER ASCERTAINING THAT THE NORMAL PITCH TRIM HAD MALFUNCTIONED; I SELECTED STANDBY TRIM AND DETERMINED THAT IT WAS FUNCTIONING PROPERLY; AND THAT THE ACFT COULD BE FLOWN SAFELY WITHOUT ELECTRIC TRIM. WE ELECTED AT THAT TIME TO CONTINUE OUR SHORT FLT TO ZZZ1 WHERE THE ACFT WAS BASED. THE COMBINATION OF HIGH WORKLOAD MANEUVERING (TKOF); JET SPDS AND PWR SHORTLY AFTER TKOF; COPLT INEXPERIENCE; LOW ALT LEVELOFFS AFTER TKOF; FOLLOWED BY AN ELECTRIC PITCH TRIM FAILURE; ALL CONTRIBUTED TO THE INCIDENT. IN HINDSIGHT; WE SHOULD HAVE BETTER COMMUNICATED THE PROB TO ATC SO THEY WOULD HAVE AT LEAST UNDERSTOOD THAT IT WAS NOT JUST CREW ERROR THAT LED TO THE DEV.