Relaxed deep generative adversarial networks for real-time economic smart generation dispatch and control of integrated energy systems

•Frequency control and economic dispatch of integrated energy systems are considered.•Real-time economic smart generation dispatch and control framework is applied.•Relaxed deep generative adversarial network is proposed for the real-time framework.•The method contains relaxed operation and deep generative adversarial networks.•Higher control performances are economically obtained by the proposed method.