Determination of shortest distance to voltage instability with particle swarm optimization algorithm

Abstract

SUMMARYLoading margin denotes how close the power system is to voltage instability. This paper presents a new technique to obtain the shortest distance to voltage instability, which converts the computation of the closest point of collapse to an optimization problem. Compared with the existing methods, the notable advantage of this technique is the capability of dealing with various constraints such as generation reactive power limits expediently and of finding out the global shortest distance to instability instead of local one, so that the shortest distance obtained corresponds to the practical system operation and then effective measures may be taken to prevent voltage collapse according to the results. A modified particle swarm optimization algorithm is presented to solve this optimization problem. Of the proposed algorithm, local optimum areas are ascertained and further exploring is implemented to find genuine local optima. Recruiting new particles outside the ascertained local optimum areas enhances the global search stability of the proposed algorithm. Details of the optimization problem and the implementation of the proposed optimization method to test systems are presented and the feasibility and validity are demonstrated.

Stochastic multi-objective congestion management in power markets improving voltage and transient stabilities

“…VSM in the load domain, which measures the distance from the current operating point to the voltage collapse point in terms of the load increment, is an efficient and widely used voltage stability index [28]. Continuation Power Flow (CPF), which is widely used in voltage stability studies, is applied here as a tool for the voltage stability bifurcation analysis in the load domain.…”

Comparison of the parameter estimation methods of surge arresters using modified particle swarm optimization algorithm

“…It is a useful algorithm to solve many optimization problems [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. It is a useful algorithm to solve many optimization problems [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30].…”

“…Particle swarm optimization is a population-based stochastic optimization technique developed by Eberhart and Kennedy, inspired by the social behavior of bird flocking or fish schooling. It is a useful algorithm to solve many optimization problems [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. PSO shares many similarities with evolutionary computation techniques such as genetic algorithms (GA).…”

Effects of different generator reactive power limits representation on load margins

“…Another significant aspect regards the reactive margin calculation, obtained by the QV curve. 13,14 Other papers [15][16][17] propose static models which include the maximum current effects of the stator (thermal limit of the armature) and the rotor's minimum and maximum current (overexcitation and under excitation limits). Reference 9 investigates the tran-LIST OF SYMBOLS AND ABBREVIATION: E fd , Internal voltage; AVR, Automatic Voltage Regulator; SVC, static VAR compensators; V k , Terminal voltage; E fd max , Maximum generator field excitation voltage; X d , d-axis synchronous reactance; P G , Active power of the generator; E fd , Generator field excitation voltage; δ k , Rotor angle; θ k , Stator voltage phase; X q , q-axis synchronous reactance; θ, Voltage angle; V, Voltage magnitude; P o , Initial value of active power; Q o , Initial value of reactive power; λ, System parameter sient effects of weak faults in power systems.…”

“…This study is made by taking into account the conventional bus type and the new representation defined as a set of controlling and remote buses. 13,14 Other papers [15][16][17] propose static models which include the maximum current effects of the stator (thermal limit of the armature) and the rotor's minimum and maximum current (overexcitation and under excitation limits). By assuming this consideration, the power dispatch is not constant and becomes dependent on the excitation voltage, the terminal voltage and the active power dispatch of the machine.…”