FLEXIBILITY ANALYSIS OF DYNAMIC-SYSTEMS

This paper presents a unified approach for the quantification of feasi bility and flexibility of systems that operate dynamically under the e ffect of time-varying uncertainty. Based on the steady state flexibili ty analysis framework, the formulation for both the dynamic feasibilit y and dynamic flexibility analysis problems is developed. It is shown that when the assumption of given uncertainty profile holds, both prob lems reduce to dynamic optimization problems that can be solved using currently available techniques. For the case when this assumption is n ot valid, a discretization scheme for the differential equations is co mbined with an active constraint strategy to transform both problems i nto mixed integer nonlinear programming problems. A number of examples are used to illustrate the applicability of the proposed framework.