Method and apparatus for determining synchronization transient stability of power system

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)∥)≤(x,z)≤β(∥ξ(x,z)∥)
• (x,z)≤−γ(∥ξ(x,z)∥)
• ∥h(x,z)∥≤c∥η(x,z)∥,
• where (x,z) is a continuously differentiable synchronous energy function at :n×m→ for (x,z)∈G, x is the state variables of the power system, z is the algebraic variables of the power system, n is a n dimensional Euclidean space, m is a m dimensional Euclidean space;
• η( ) and ξ( ) are vector functions meeting η:
• n×m→nη and ξ:n×m→nξ;
• each of α( ), β( ) and γ( ) is a -class function;
• c is a constant greater than or equal to 0, h represents a continuously differentiable function at a set ⊂n×m and
• d
• dt
• ⁢
• z
• =
• h
• ⁡
• (
• x
• ,
• z
• )
• ,
• the set is a connected open set and meets an algebraic nonsingular condition,
• where the -class function is a continuous function α:
• [0, α)→[0, ∞), and α(0)=0 when the continuous function increases monotonically.