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The authors discuss a knowledge base for power system stability in an AI/expert system environment. With the knowledge on parametric resonance, a power system is interpreted as a restoration characterized system, in which the 'jump phenomena' could occur due to the ill-combination of the system parameters. A stability index, called the restoration characteristics index (RCI), is derived by considering the specific combination of parameters to make the resonance curve triple-valued. And considerations on the monitoring and control strategy for AI/expert system approach are discussed.