This paper aims to systematically summarize different methods and techniques and to review corresponding solution approaches in cyber-security in energy systems. In the first step, we discuss the interactive features of cyber-security; then, their modeling and mechanisms are reviewed and summarized in detail. Furthermore, the characteristics and applicability of different cyber-attack models are technically discussed and analyzed. The cutting-edge cyber security approaches such as blockchain and quantum computing in SGs and power systems are stated, and recent research directions are highlighted. The decisive problem-solving approaches and defense mechanisms are presented. Finally, some points regarding the role of cyber-security in the future of SGs are presented.