Abstract
A solution is presented for the problem of placing phasor measurement unit to identify the mathematical model of the electric power system in the state space. The criterion for complete observability of the Kalman dynamic system is taken as a basis. As a method of solution, we use the canonical genetic algorithm. The complete observability of the power system is ensured by the application of the observability rule in the form of a recursive test of observability. The proposed approach is demonstrated by the arrangement of synchronized vector meters in the Kaliningrad region power system.
Highlights
Identification of electric power systems (EPS) for a long time was a difficult-solvable problem because of the lack of time-allocated and time synchronized dynamic observations in space
The invariance property of the shift of the observability matrix (7) is the fundamental basis of the identification algorithm used, and the Kalman complete observability condition (8) is a necessary condition for the identifiability of EPS
The creation of the system of monitoring for transient regimes brought the problem of identifying the energy system to a level where the success of its solution depends on the methods and algorithms used
Summary
Identification of electric power systems (EPS) for a long time was a difficult-solvable problem because of the lack of time-allocated and time synchronized dynamic observations in space. Modern PMU allows measuring phase currents along transmission lines, phase voltages on buses of power stations and substations, current frequency, and (indirectly) overflows of active and reactive power This allows the formation of a system of monitoring for transient regimes, to eliminate the lack of information on transient processes and to realize the identification of EPS [1] – [3]. The solution of the identification problem is based on the invariance property of the shift of the Kalman observability matrix [3] This ensures the identification of the complete and equivalent (reduced) mathematical model of EPS and allows generating, for example, appropriate actions for controlling oscillations in EPS and ensuring a given margin of static stability. A practical example, considered in the paper, is the arrangement of PMU in the 110-330 kV networks of the Kaliningrad region power system
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