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Interactive storytelling systems are applications to generate and dramatize interactive stories. The main challenge to such systems is the generation of coherent stories while users are watching and interfering with what is happening. In an interactive TV environment, quality and diversity of narratives are crucially important objectives. In addition, new requirements related to comfort in user interaction, responsiveness and scalability have to be taken into account. In this paper, we present a model for interactive TV storytelling to cope with these requirements. The model was implemented in a new version of the planning-based interactive storytelling system Logtell