Wind turbine system with improved stability during shutdown

The invention relates to a wind turbine system with a plurality of wind turbine modules each with a rotor. A control system is arranged to execute a shutdown procedure with a first control command for terminating power production from a first subset of wind turbine modules resulting in a thrust force change with a reduced thrust force from the wind on a first part of the support structure carrying the first subset of wind turbine modules. A second control command is applied to a second subset of wind turbine modules for enabling thrust control of the second subset of wind turbine modules to oppose the thrust force change at the first part. Thus, there is obtained an improved and cost-effective way of stabilizing a wind turbine system with multiple rotors during shutdown.