Transient stability assessment for network topology changes: application of energy margin analytical sensitivity

Transient security dispatch for the concurrent optimization of plural postulated contingencies

“…(1) (2) where is the -dimensional state vector, is the vector of the nodal voltages and is a -dimensional vector of control variables constituted by active and reactive generated power.…”

“…Energy function direct methods [2], [3] and hybrid algorithms [4]- [6] have been developed to yield a measure of stability margin, used to evaluate preventive control actions by mean of sensitivity analysis. Various schemes for the improvement of the system representation and the reduction of computational time have been carried out.…”

Q impact of load characteristic on dynamic security region of power system

“…The direct methods (transient energy function method), which include the CUEP (Controlling Unstable Equilibrium Point) method [9], the PEBS method (Potential Energy Boundary Surface) [10], the BCU (Boundary of stability region based Controlling Unstable Equilibrium Point method) method [11], and the EEAC (Extended Equal Area Criterion) [12] etc. Their computation burden is moderate, these methods could give out the transient stability index and the transient stability margin, they have been well applied to the critical clearing time and the transient stability margin calculating, and to estimate the stability limit being combined with sensitivity analysis [13][14][15]. However, for the general power system, the construction of transient energy function is very difficult.…”

Stability control using PEBS method and analytical sensitivity of the transient energy margin

“…one line i-j outage or switching off M: row vector which is null except for Mi=a and Mj=-1 a: off-nominal turns ratio referred to the bus corresponding to column i, for a transformer 1, for a line b: line or nominal transformer series admittance Case (2). one line i-j switching on M: row vector which is null except for Mi=-a and Mj=1 a, b are the same as above.…”

“…In [1], small parameter changes of generation, load and network are analyzed and sensitivity analysis is used for stability analysis, with the assumption that the mode of disturbance (MOD) is not altered by the small changes. In [2], big changes can be of concern for the stability analysis. In [3], the sensitivity-based BCU method can analyze the transient stability no matter whether the MOD is altered or not.…”