Probabilistic Steady-State Security Assessment of an Electric Power System Using A Monte Carlo Approach

2006 ◽  
Author(s):  
C. I. Faustino Agreira ◽  
S. M. Fonseca de Jesus ◽  
S. Lopes de Figueiredo ◽  
C. Machado Ferreira ◽  
J. A. Dias Pinto ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Steady State ◽  
Power System ◽  
Electric Power ◽  
Electric Power System ◽  
Security Assessment ◽  
Monte Carlo Approach ◽  
State Security

LOCAL BIFURCATION BOUNDARY AND STEADY-STATE SECURITY BOUNDARY IN LARGE ELECTRIC POWER SYSTEMS: NUMERICAL STUDIES

2011 ◽  
Vol 21 (03) ◽  
pp. 647-662 ◽  
Author(s):  
YI-SHAN ZHANG ◽  
HSIAO-DONG CHIANG
Keyword(s):  
Steady State ◽  
Power Systems ◽  
Electric Power ◽  
Computational Procedure ◽  
Electric Power System ◽  
Local Bifurcation ◽  
Large Power ◽  
State Security ◽  
Numerical Studies ◽  
The Impact

The local bifurcation boundary and steady-state security boundary of parameter-dependent electric power system models are computed and studied. A computational procedure for numerically constructing the local bifurcation boundary and the steady-state security boundary is proposed. Then the proposed computational procedure is applied to large power systems to compute the local bifurcation boundary and steady-state security boundary. Numerical studies reveal the characteristics and the convexity properties of these boundaries. The impact of the physical limitation of the generator reactive capability on the local bifurcation boundary and the steady-state security boundary are also investigated.

scholarly journals STUDY OF TRANSIENT AND STATIONARY OPERATION MODES OF SYNCHRONOUS SYSTEM CONSISTING IN TWO MACHINES

2017 ◽  
Vol 60 (3) ◽  
pp. 228-236
Author(s):  
V. S. Safaryan
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Power System ◽  
Mathematical Models ◽  
Coordinate System ◽  
Electric Power ◽  
Electric Power System ◽  
Machine System ◽  
Transient Regimes ◽  
The Mathematical Model

The solution of the problem of reliable functioning of an electric power system (EPS) in steady-state and transient regimes, prevention of EPS transition into asynchronous regime, maintenance and restoration of stability of post-emergency processes is based on formation and realization of mathematical models of an EPS processes. During the functioning of electric power system in asynchronous regime, besides the main frequencies, the currents and voltages include harmonic components, the frequencies of which are multiple of the difference of main frequencies. At the two-frequency asynchronous regime the electric power system is being made equivalent in a form of a two-machine system, functioning for a generalized load. In the article mathematical models of transient process of a two-machine system in natural form and in d–q coordinate system are presented. The mathematical model of two-machine system is considered in case of two windings of excitement at the rotors. Also, in the article varieties of mathematical models of EPS transient regimes (trivial, simple, complete) are presented. Transient process of a synchronous two-machine system is described by the complete model. The quality of transient processes of a synchronous machine depends on the number of rotor excitation windings. When there are two excitation windings on the rotor (dual system of excitation), the mathematical model of electromagnetic transient processes of a synchronous machine is represented in a complex form, i.e. in coordinate system d, q, the current of rotor being represented by a generalized vector. In asynchronous operation of a synchronous two-machine system with two excitation windings on the rotor the current and voltage systems include only harmonics of two frequencies. The mathematical model of synchronous steady-state process of a two-machine system is also provided, and the steady-state regimes with different structures of initial information are considered.

scholarly journals Multi-Output Regression for Analyzing Power System Random States in Reliability Assessment by the Monte Carlo Method

2021 ◽  
pp. 49
Author(s):  
D. A. Boyarkin
Keyword(s):  
Machine Learning ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Power System ◽  
Electric Power ◽  
Reliability Assessment ◽  
Electric Power System ◽  
Learning Methods ◽  
Machine Learning Methods ◽  
The Monte Carlo Method

Increasing calculation speed of the electric power system (EPS) reliability of is one of the key issues in their operational management and long-term development planning. Analytical methods to assess the EPS reliability seem to be impossible due to large size of the problem and, as a consequence, essentially the only option for assessing is to use the Monte Carlo method. When it is used both the speed and the accuracy of calculation directly depend on the number of randomly generated system states and the complexity of their calculation in the model. Methods aimed at increasing computational efficiency can relate to two directions - reducing the states under consideration and simplifying the computational model for each state. Both options are performed provided that calculation accuracy is retained.The article presents research on using the machine learning methods and, in particular, the multi-output regression method to modernize the reliability assessment technique via the Monte Carlo method. Machine learning methods are used to determine the power deficit (realization of a random variable) for each random EPS state.The use of multi-output regression enables comprehensive determining of values of all the required variables. The experimental studies are based on the two test circuits of electric power systems: three-zone and IEEE RTS-96 with 24 zones of reliability.

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