Controller Synthesis of Wind Turbine Generator and Energy Storage System with Stochastic Wind Variations under Temporal Logic Specifications

TL;DR

This paper develops a probabilistic controller synthesis method for wind turbines and energy storage systems that ensures compliance with temporal logic specifications under stochastic wind conditions, validated on power grid models.

Contribution

It introduces a stochastic control bisimulation function and a combined feedforward-feedback control approach for robust grid management under wind variability.

Findings

Effective control under stochastic wind conditions demonstrated on power grid models.

Feedback control outperforms feedforward in handling unexpected disturbances.

Probabilistic guarantees ensure compliance with grid frequency and power constraints.

Abstract

In this paper, we present a controller synthesis approach for wind turbine generators (WTG) and energy storage systems with metric temporal logic (MTL) specifications, with provable probabilistic guarantees in the stochastic environment of wind power generation. The MTL specifications are requirements for the grid frequency deviations, WTG rotor speed variations and the power flow constraints at different lines. We present the stochastic control bisimulation function, which bounds the divergence of the trajectories of a switched stochastic control system and the switched nominal control system in a probabilistic fashion.We first design a feedforward controller by solving an optimization problem for the nominal trajectory of the deterministic control system with robustness against initial state variations and stochastic uncertainties. Then we generate a feedback control law from the data of the simulated trajectories. We implement our control method on both a four-bus system and a nine-bus system, and test the effectiveness of the method with a generation loss disturbance. We also test the advantage of the feedback controller over the feedforward controller when unexpected disturbance occurs.