US 12,236,175 B1
Method and system for correlating hydro-turbine governing system control parameters and oscillation characteristics
Chaoshun Li, Hubei (CN); and Xueding Lu, Hubei (CN)
Assigned to HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY, Hubei (CN)
Filed by HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY, Hubei (CN)
Filed on May 16, 2024, as Appl. No. 18/666,735.
Claims priority of application No. 202311620353 (CN), filed on Nov. 30, 2023.
Int. Cl. G06F 30/28 (2020.01); H02P 101/10 (2015.01)
CPC G06F 30/28 (2020.01) [H02P 2101/10 (2015.01)] 8 Claims
OG exemplary drawing
 
1. A method for correlating control parameters and oscillation characteristics of a hydro-turbine governing system, comprising:
step 1: calculating, by a processor, an eigenvalue, a zero point and a pole of a state matrix in a hydro-turbine governing system state space model, taking a pole which is the closest to an imaginary axis and has no zero point in a preset distance as a dominant eigenvalue;
step 2: determining, by the processor, an oscillation characteristic region of the hydro-turbine governing system on a complex plane according to the dominant eigenvalue;
step 3: converting, by the processor, the hydro-turbine governing system state space model into a transfer function model and extracting a characteristic equation of the transfer function model, obtaining a system control parameter stability domain according to a Hurwitz stability criterion;
step 4: calculating, by the processor, the dominant eigenvalues corresponding to the different control parameters in the system control parameter stability domain, classifying the control parameters in the system control parameter stability domain according to the oscillation characteristic region of the hydro-turbine governing system of the complex plane where the dominant eigenvalue is located, and dividing the oscillation characteristic region of the hydro-turbine governing system in the system control parameter stability domain;
wherein a horizontal axis of the system control parameter stability domain is Kp, and a vertical axis thereof is KI: Kp is a proportional coefficient of a PID (Proportional-Integral-Derivative) speed regulator in the hydro-turbine governing system; KI is an integral coefficient of the PID speed regulator in the hydro-turbine governing system;
a method for dividing the oscillation characteristic region of the hydro-turbine governing system is: using an imaginary part of the dominant eigenvalue to determine a system oscillation frequency, and dividing the complex plane into a no-oscillation region, a 0 Hz to 0.01 Hz oscillation region, an ultra-low frequency oscillation region, and an oscillation region above 0.1 Hz; a real part of the dominant eigenvalue is used to determine a system attenuation rate, and the ultra-low frequency oscillation region in the complex plane is divided into an ultra-low frequency oscillation safe region and an ultra-low frequency oscillation risk region; if the real part is less than or equal to −0.07, the ultra-low frequency oscillation region is divided into the ultra-low frequency oscillation safe region, otherwise the ultra-low frequency oscillation region is divided into the ultra-low frequency oscillation risk region,
adjusting, by the processor, a plurality of turbine control parameters which includes PID values of Kp and KI on a turbine speed regulator of a water turbine based on the control parameters within the ultra-low frequency oscillation safe region, and controlling the water turbine included in the governing system based on the turbine control parameters.