Abstract
This paper presents a comparative analysis regarding a self-tuning minimum variance control system of a double-fed induction generator with load and connected to a power system through a long transmission line. A new complex nonlinear model describing this relationship between the induction generator, electrical consumer, transmission line, and power system is designed and implemented to simulate the controlled plant behavior. Starting from a simplified linear model of this complex plant, obtained through linearization of its nonlinear model around an operating point, the minimum variance control law design is performed by minimizing a cost criterion function. The main goal and also the paper novelty consists of the identification of a minimum order of this linearized model used to design a reduced order control law, which can still provide good control performance.
Highlights
The minimum variance adaptive control systems represent a viable solution for complex nonlinear process control [1,2,3,4]
Starting from some simplified linear models of a double-fed induction generator, the paper presents a comparative study about performances of a self-tuning minimum variance control structure
The double-fed induction generator is connected to a power system through a long transmission line and a local electrical consumer is considered connected at generator terminals
Summary
The minimum variance adaptive control systems represent a viable solution for complex nonlinear process control [1,2,3,4]. The implementation of a self-tuning minimum variance control strategy requires the determination of a linearized mathematical model for the induction generator, with an order as small as possible (and with a minimum number of parameters), but yet able to describe sufficiently accurately the process dynamics for various operating regimes This complex nonlinear model was used as a starting point to obtain a simplified linear model (through linearization around a steady-state point) that will be used only for the design of the minimum variance control law [2,3,7]. Equations (1)–(7) and (12)–(21) (practically, a 7th order nonlinear model) completely describe the behavior of interconnected systems (induction generator, long transmission line, local electrical consumer, and power system). This model ensures good accuracy for process dynamics in various operating regimes (active/reactive power loading/unloading, connecting/disconnecting local consumers, etc.). The stator windings w1 and w3 are placed in the same stator cuts; the w2 winding is spatially lagged with 90 electrical degrees in relation with the w1 winding
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