Optimal control method of single-machine infinite-bus affine nonlinear system

Abstract

The invention discloses an optimal control method of a single-machine infinite-bus affine nonlinear system. According to the optimal control method of the single-machine affine nonlinear system, based on a single-machine infinite-bus system, nonlinear optimal control design is performed; the equation of motion of the generator rotor of the single-machine infinite-bus system is written in the mode of an SISO (single input single output) affine nonlinear system; through coordinate mapping, a completely controllable and precisely linearized system can be obtained; then according to the design method of a quadric-form optimal control LQR (linear quadratic regulator), the controlled quantity of the precisely linearized system can be solved, accordingly a nonlinear optimal controller of the original system can be obtained, meanwhile, real-time online semi-physical simulation is performed to test the practical feasibility of a scheme. The optimal control method of the single-machine infinite-bus affine nonlinear system achieves precise linearization of the single-machine infinite-bus system and meanwhile takes the condition of non-real-time performance of pure digital offline simulation, thereby verifying the control effects of a controller based on theoretical control in actual real field application through semi-physical simulation experiments. By testing the effects of the designed controller during actual application, the optimal control method of the single-machine infinite-bus affine nonlinear system is beneficial to high truthfulness of the designed algorithms.

Description

technical field [0001] The invention belongs to the technical field of control algorithms, and in particular relates to an accurate linearization design of a single-machine infinite affine nonlinear system and a semi-physical simulation method. Background technique [0002] The asynchronous motor itself is a high-order, nonlinear, non-homogeneous, strongly coupled time-varying multivariable system, and the actual motor load usually has nonlinear characteristics such as friction and dead zone, so in the past pure digital off-line simulation research In the above, the motor and load models are simplified models based on certain approximate conditions, which are different from the real ones. On the other hand, although pure digital off-line simulation can realize the prediction of control algorithm, quantization error and programming error, it cannot be used for actual system memory limitation, interrupt delay, processor operation speed and I / O interface circuit and other defec...

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Problems solved by technology

[0002] The asynchronous motor itself is a high-order, nonlinear, non-homogeneous, strongly coupled time-varying multivariable system, and the actual motor load usually has nonlinear characteristics such as friction and dead zone, so in the past pure digital off-line simulation research In the above, the motor and load models are simplified models based on certain approximate conditions, which are different from the real ones.

On the other hand, although pure digital off-line simulation can realize the prediction of control algorithm, quantization error and programming error, it cannot be used for actual system memory limitation, interrupt delay, processor operation speed and I / O interface circuit and other defects. exclude

Therefore, the control algorithm based on pure digital off-line simulation can no longer meet the requirements of the actual system

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