Model-based Linear Quadratic Integral Control Design for q-profile Shaping in EAST

Z. Wang, H. Wang, E. Schuster, Y. Huang, Z. Luo, Q. Yuan, B. Xiao, D. Humphreys

Division of Plasma Physics (DPP) Annual Meeting of the American Physical Society (APS)

Fort Lauderdale, FL, USA, October 21-25, 2019

Abstract

In order to achieve advanced modes of operation, characterized by confinement improvement and possible steady-state operation, control capabilities for shaping the spatial profile of the toroidal current density, or equivalently the safety factor 𝑞 or the gradient of the poloidal magnetic flux, are essential. A linear quadratic integral (LQI) control-design approach has been followed in this work to further develop such control capabilities in EAST. The controllers, which have been designed based on a first-principles-driven control-oriented model of the poloidal magnetic flux profile evolution, have the capability of regulating several points of the q profile and its integral properties such as the internal inductance 𝑙𝑖. Moreover, by controlling the plasma current \textit{Ip} and the powers of both the low frequency (2.45 GHz) and the high-frequency (4.60 GHz) lower hybrid wave sources, the controllers can also regulate 𝛽𝑁. Nonlinear simulations show that the controllers can effectively regulate a combination of 𝑞(0.1), 𝑞(0.5), 𝑞(0.9), 𝑙𝑖 and 𝛽𝑁. The proposed control laws have been implemented in the recently developed Profile Control category in the EAST Plasma Control System (PCS) with the ultimate goal of testing them experimentally.