Abstract:
The problem of tuning a fixed optimal set of parameters in time domain for dynamic systems is inherently nonlinear due to the product of tunable variables (controller gai...Show MoreMetadata
Abstract:
The problem of tuning a fixed optimal set of parameters in time domain for dynamic systems is inherently nonlinear due to the product of tunable variables (controller gains and time constants) and time-dependent variables (bounded to the process), involved in equality constraints. This article presents a framework to transform such nonlinear problem into a mixed-integer linear problem through a binary-disjunctive representation of the problematic product between tunable and process-bounded variables, whereas addressing alternative linear representations to other nonlinearities such as saturation. A set of linear formulations in time domain are also developed to describe typical dynamic performance requirements, such as overshoot and settling time. The proposed framework was used to determine the optimal control parameters for disturbance rejection of the active power control loop in a photovoltaic generator with battery energy storage.
Published in: IEEE Systems Journal ( Volume: 15, Issue: 3, September 2021)