Transient Stability of Power Systems

“…Representing machines of each group by their center of angle, the equation of motion of centers of angles is described by the following equations [2], [4]: (19) (20) where Using (19) and (20), we can write the swing equation for an equivalent single machine infinite bus system as follows: (21) where For the equivalent system, the energy function can be written as follows: (22) where ( Note that contains a path dependent integral which is evaluated by trapezoidal rule of integration as in Approach 1. Using (10) and (16), the expression for change in EM due to generation shift from group to group is approximated as follows: (25) where (26) and represents the value of immediately after fault clearing.…”

Section: B Modification Of the Methods For Detailed Power System Modelmentioning

confidence: 99%

“…The reactive current balance equations (at buses other than the generator internal buses) can be written as (4) The generator transient reactance is treated like another transmission line (connecting generator internal bus to the generator terminal bus).…”

Section: A Structure Preserving Em Sensitivitymentioning

confidence: 99%

“…These methods include time-domain solutions [1], energy function methods [2]- [4], pattern recognition techniques [5], neural network [6], and trajectory sensitivity analysis [7]. The energy function method has been of interest for dynamic security assessment, since it can provide a quantitative measure of the degree of system stability based on an EM [8]- [10], which can be analyzed as a function of relevant system parameters using sensitivity analysis.…”

Section: Introductionmentioning

confidence: 99%

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Stability-Constrained Generation Rescheduling Using Energy Margin Sensitivities

Shubhanga

Kulkarni

2004

IEEE Trans. Power Syst.

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Abstract-In this paper, a structure preserving energy margin (EM) sensitivity-based analysis is presented to determine the amount of preventive generation rescheduling to stabilize a transiently unstable power system. An expression using a simplified model is derived to relate the change in the EM to change in generation. Utilising this expression, two approaches for generation rescheduling are developed which are applicable to detailed model of power systems. The proposed methods are applied to the 10-machine New England power system and 16-machine power system with detailed power system models.

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“…Due to the inclusion of the uncontrolled VSC-HVdc it is necessary to nd a new energy function for the power system. By following the procedure described in [44] the construction of the new energy function results in:…”

Section: Chapter 4 Control Strategies For a Vsc-hvdċmentioning

confidence: 99%