US 12,468,868 B2
Method and apparatus for determining synchronization transient stability of power system
Feng Liu, Beijing (CN); Peng Yang, Beijing (CN); Shiyong Wu, Beijing (CN); Peixin Yu, Beijing (CN); and Chen Shen, Beijing (CN)
Assigned to TSINGHUA UNIVERSITY, Beijing (CN)
Filed by Tsinghua University, Beijing (CN)
Filed on Apr. 12, 2022, as Appl. No. 17/719,345.
Claims priority of application No. 202111553917.0 (CN), filed on Dec. 17, 2021.
Prior Publication US 2023/0195961 A1, Jun. 22, 2023
Int. Cl. H02J 3/00 (2006.01); G06F 30/20 (2020.01); G06F 111/10 (2020.01)
CPC G06F 30/20 (2020.01) [H02J 3/00125 (2020.01); G06F 2111/10 (2020.01); H02J 2203/20 (2020.01)] 18 Claims
OG exemplary drawing
 
1. A method for determining transient synchronous stability of a power system, comprising:
determining, by an electronic device, a synchronous energy function corresponding to a power system model;
determining, by the electronic device, a synchronization convergence region based on the synchronous energy function;
determining, by the electronic device, whether the power system is transient stable based on an initial value of the power system after fault and the synchronization convergence region; and
adjusting, by the electronic device, parameters of the power system in response to determining that the power system is transient unstable, so that the power system is enabled to be transient stable;
wherein determining the synchronous energy function corresponding to the power system model comprises:
determining, by the electronic device, the synchronous energy function based on state variables and algebraic variables of the power system, wherein the synchronous energy function meets the formula of
α(∥η(x,z)∥)≤custom character(x,z)≤β(∥ξ(x,z)∥)
custom character(x,z)≤−γ(∥ξ(x,z)∥)
∥h(x,z)∥≤c∥η(x,z)∥,
where custom character(x,z) is a continuously differentiable synchronous energy function at custom character:custom charactern×custom characterm→custom character for (x,z)∈custom characterG, x is the state variables of the power system, z is the algebraic variables of the power system, custom charactern is a n dimensional Euclidean space, custom characterm is a m dimensional Euclidean space; η( ) and ξ( ) are vector functions meeting η: custom charactern×custom characterm→custom characternη and ξ:custom charactern×custom characterm→custom characternξ; each of α( ), β( ) and γ( ) is a custom character-class function; c is a constant greater than or equal to 0, h represents a continuously differentiable function at a set custom character⊂custom charactern×custom characterm and

OG Complex Work Unit Math
 the set custom character is a connected open set and meets an algebraic nonsingular condition,
where the custom character-class function is a continuous function α: [0, α)→[0, ∞), and α(0)=0 when the continuous function increases monotonically.