Applying Power System Stabilizers Part I: General Concepts

Abstract-This paper presents a generalized solution to the problem of optimal control of systems having an extra set of exogenous inputs besides control inputs. The solution is derived in the framework of linear quadratic control and it is termed 'extended linear quadratic regulator (ELQR)'. The ELQR is applied for control of unstable or poorly damped oscillatory dynamics occurring in a power system and is shown to be significantly more cost effective than the classical power system stabilizer (PSS) based approach.Index Terms-optimal control, extended linear quadratic regulator, exogenous input, external disturbance, pseudo-input, power system dynamics, small signal stability, power system stabilizer NOMENCLATURE 0 m×n a matrix of zeroes of size (m × n) Γ the function of quadratic costs without considering u ′

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“…Comparison simulations are also conducted by replacing the ELQR with a classical PSS on each machine [11].…”

Section: Implementation and Validationmentioning

confidence: 99%

An extended linear quadratic regulator and its application for control of power system dynamics

Singh

Pal

2016

2016 IEEE First International Conference on Control, Measurement and Instrumentation (CMI)

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“…In order to avoid LFO, supplementary stabilizing signal have been proposed in the excitation systems through lead/lag power system stabilizers [5] or PI -PID PSSs [6]. The calculation of the parameters of these PSSs is based on the linearized model of the power system around a nominal operating point.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of Power System Dynamic Stability by Designing a New Model of the Power System

Fereidouni¹,

Vahidi²

2014

Journal of Electrical Engineering and Technology

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-Low frequency oscillations (LFOs) are load angle oscillations that have a frequency between 0.1-2.0 Hz. Power system stabilizers (PSSs) are very effective controllers in improvement of the damping of LFOs. PSSs are designed by linearized models of the power system. This paper presents a new model of the power system that has the advantages of the Single Machine Infinite Bus (SMIB) system and the multi machine power system. This model is named a single machine normalbus (SMNB). The equations that describe the proposed model have been linearized and a lead PSS has been designed. Then, particle swarm optimization technique (PSO) is employed to search for optimum PSS parameters. To analysis performance of PSS that has been designed based on the proposed model, a few tests have been implemented. The results show that designed PSS has an excellent capability in enhancing extremely the dynamic stability of power systems and also maintain coordination between PSSs.

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“…Usually plant mode and interconnected mode of oscillations with frequency ranges of 0.7-2.0 Hz and 0.1-0.8 Hz respectively are observed [2]. Substantial efforts have been made to realize the impact of Power System Stabilizer (PSS) in damping low frequency oscillation and thus improve the small signal stability of power system [3]. The effectiveness of PSSs from both cost and operational point of view has ensured wide use of it by the utilities.…”

Section: Introductionmentioning

confidence: 99%

Performance Comparison of Invasive Weed Optimization and Particle Swarm Optimization Algorithm for the tuning of Power System Stabilizer in Multi-machine Power System

Ahmed¹,

Amin²

2012

IJCA

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In this paper, two evolutionary algorithms-Invasive Weed Optimization (IWO) based power system stabilizer (PSS) and particle swarm optimization (PSO) based power system stabilizer is designed for multi-machine power system to compare their tuning performances. IWO is a derivative-free real parameter optimization technique that mimics the ecological behavior of colonizing weeds. PSO is also a derivative-free and flexible optimizer which is powered by the behavior of organism, such as bird flocking. Eigen-value based objective function is considered for the tuning of PSSs to enhance system damping of electromechanical mode. The performance of proposed IWO-based PSS and PSO-based PSS is tested and demonstrated under different disturbances for a four machine example power system. The Eigen value analysis and non-linear time domain simulation results shows that both IWO-based PSS and PSO-based design can successfully damp out the oscillations and thus improve the stability of the system. However, the abilities like faster convergence and greater shifting of critical modes to the left of s-plane keeps the choice of IWO based design in front of PSO based design for the system under consideration. General TermsPower system stability, Multi-machine system, Optimization.

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Applying Power System Stabilizers Part I: General Concepts

Cited by 907 publications

References 6 publications

An extended linear quadratic regulator and its application for control of power system dynamics

An extended linear quadratic regulator and its application for control of power system dynamics

Enhancement of Power System Dynamic Stability by Designing a New Model of the Power System

Performance Comparison of Invasive Weed Optimization and Particle Swarm Optimization Algorithm for the tuning of Power System Stabilizer in Multi-machine Power System

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