Feasible Region of Optimal Power Flow: Characterization and Applications

Toward coordinated look‐ahead reactive power optimisation for distribution networks with minimal control

“…However, the issue regarding the existence of feasible reactive power controls for each coherent period should be addressed. The theory of feasible region developed in [20] can be used to identify whether there exists a solution for (6)- (18). This paper assumes that the proposed reactive power optimisation formulation admits a solution.…”

“…It is possible that the reactive optimisation problem formulations (6)- (18) does not admit a solution. The theory of feasible region developed in [20] can be used to identify whether a solution exists for (6)- (18). This paper assumes that the proposed reactive power optimisation formulation admits a solution.…”

Fast optimal power allocation algorithm for multi‐terminal AC/DC hybrid grids with wind power integration

“…where R ik is the element in the inverse matrix of terminal admittance matrix. Equation (15) gives the linear mathematic relationship between the terminal voltage and the active power of each converter station. Generally, U ref is taken as 1.0 pu, and thus P loss_dc in (5) is rewritten by…”

“…Some OPF solutions, such as the interior point method [9][10][11] and Newton's method [12][13][14], have been tried to solve the OPA problem. However, they are computationally complex and can take a relatively long time to converge [15,16]. In some situations, such as real-time operation and power dispatching, it is required to calculate the OPA in a large number of scenarios within a limited time.…”

Entire stability region estimation using the invariant manifolds and singularities at infinity

“…The stability region of non-linear dynamic systems has significant research value for many disciplines in engineering, especially the theoretical basis for the transient analysis of power systems. The identification of stability regions continues to play an important role [1][2][3][4][5]. The stability region of a stable equilibrium point (SEP) refers to the concept of the basin of attraction (BoA), which is the collection of points whose trajectories go to the SEP in forward time [6].…”