Most modern chemical plants are complex system with multiple interconnected nonlinear process units, often with recycle and by-pass streams and energy integration. Interactions between process units often lead to plant-wide operability problems. In this work, a plantwide chemical process is viewed as a network of process units. These process units, namely process systems, possess some special nonlinearity properties. In this paper, a plantwide operability analysis is developed based on the concept of dissipativity. Using thermodynamics and geometric properties of process systems, a new construction of a storage function is proposed. Based on the above results, plantwide stability and stabilizability conditions are derived.