Generalized stability criterion for controlling solidification segregation upon twin-roll casting

•Systematical framework integrating dendritic growth model, overall solidification kinetic model and generalized stability was constructed.•Processing parameters of the casting speed and the flow speed of cooling water in twin-roll casting are coupled.•Sub-rapid solidification kinetics, concentration and segregation by different processing parameters couple were established.•New strategy was proposed: high initial driving force suppresses centerline segregation, and high final generalized stability suppresses edge segregation.