Flight Crew Air Transport Pilot (ATP); Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 80; Flight Crew Total 10100; Flight Crew Type 250
Deviation - Altitude Overshoot; Deviation / Discrepancy - Procedural Clearance; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter Wake Vortex Encounter; Inflight Event / Encounter Weather / Turbulence
Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance
Environment - Non Weather Related; Procedure
We were cleared to FL340 and my copilot was Pilot Flying (PF). We started encountering turbulence and my copilot disconnected the autopilot for a smoother ride (A/P very sensitive to turbulence). Turbulence was occasional moderate. 1000 ft call was made and acknowledged by both crew at FL330. We received from ATC traffic advisory at FL350. We had the traffic on our TCAS (TCAS II). We saw the traffic at 2-3 o'clock and passing behind us on our right wing. The traffic was not a factor. No TA or RA on TCAS. My First Officer (F/O) started reducing pitch and pulling the throttle back to [Max Cruise Thrust] MCR to level off at 340 and I saw a large ascent (updraft). My F/O corrected by pitching down using the electric elevator trim (low speed mode when pitching down); avoiding pulling negatives Gs on the airframe. Using the electric trim was not quick enough and the aircraft kept climbing to 300 to 500 ft above FL340 to the point forward pressure input directly on the yoke and the aircraft finally settled down to FL340. The recovery from the event was smooth with no impact (Gs) on anyone on board. In the meantime ATC called to tell us that we were deviating from assigned altitude. Shortly after; ATC cleared us to FL400 where the ride was much smoother. Updraft or wake turbulence from the crossing traffic at FL350. The encounter happened when the traffic was behind us.
LR60 Captain reported overshooting cleared altitude in climb to FL340 after encountering wake turbulence from a wide body transport aircraft.