He was taught by Anner Bylsma, Frans Helmerson, Ralph Kirshbaum, György Ligeti, Yo-Yo Ma, Siegfried Palm, Boris Pergamenschikow, Mstislav Rostropovich, Daniil Shafran, Paul Tortelier and the Amadeus Quartet.
As a recitalist and member of the Copenhagen Trio and the Menuhin Festival Piano Quartet, Svane played concerts all over Europe, Australia, Asia, South America and the United States.
He performed with Yuri Bashmet, Thomas Brandis, Zakhar Bron, Ulf Hoelscher, Karl Leister and the Zehetmair Quartet.
Svane was the assistant to David Geringas for 11 years before he was appointed professor for violoncello at the Lübeck Academy of Music in 2004.
Svane has given master classes in Australia, Asia, Ukraine, South America and in numerous European countries and was a jury member at international competitions.