The phrase "as a consequence when" is not correct and does not work well in written English.
It seems to be an attempt to link a cause and effect, but the structure is awkward and unclear.
Example: "As a consequence when the storm hit, many homes were damaged." (This example is not ideal due to the phrase's awkwardness.)
Alternatives: "as a result of" or "consequently".
As a consequence, when my period began, I was not really sure what was happening.
As a consequence, when Reuters asked these businesses whether they want TTIP, the answer was categorical: "Nein Danke".
As a consequence, when such men of true martial ability and sufficient autonomy emerged, the slightest incident involving any one of them might provoke armed conflict.
As a consequence, when these resources are lacking or when there is little basis for the rule of rational-legal authority, the state bureaucracy is unable to act in ways that may make it accountable, proficient, or rule-based.
As a consequence, when Nikki Haley, the South Carolina governor, ordered the state and US flags at the Statehouse to lowered to half-mast for nine days to honour the dead, the Confederate flag stayed raised.
Mr. Berman said Mr. Thompson "very intelligently kept up his ties with the Orthodox community, and as a consequence, when I felt I should have gotten the endorsement of the Jewish press, they didn't endorse either of us".
Furthermore, after cutting a distribution deal with Miramax for his black-and-white western Dead Man (1995), he didn't allow Weinstein to make any changes - and suffered as a consequence when he saw his most ambitious film spitefully marginalised by its own distributor.
As a consequence, when the ∇h terms are neglected, the density peaks associated to shock fronts are overestimated.
As a consequence, when a worker's earnings rise, the inflow of federal dollars via the EITC can decline.
As a consequence, when JVM bytecodes are used to transport programs in other languages, the result becomes less acceptable the more the source language diverges from Java.
As a consequence, when the actual shift size differs from the value assumed at the chart design stage, the performance of the control chart can be seriously affected.
