A Homotopy-Based Method for Robust Computation of Controlling Unstable Equilibrium Points

Mitra, Joydeep; Benidris, Mohammed

doi:10.1109/tpwrs.2019.2942948

Cited by 7 publications

(4 citation statements)

References 36 publications

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“…Reactive resistances of an overhead power line Х L , Оhm, high voltage windings of a three-winding transformer Х В , Оhm, medium voltage windings of a three-winding transformer Х С , Оhm, low voltage windings of a three-winding transformer Х Н , Оhm, [13,14,15] calculated according to the equations, respectively:…”

Section: Calculation Of the Operating Mode Of The District Electric N...mentioning

confidence: 99%

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Model Development and Calculations for 35/10 Kv Electrical Substations in Turkestan Region Using Rastrwin3 Program

Kalimoldayev,

Shermantayeva

2024

sjaitu

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The city of Turkestan, Kazakhstan is experiencing growth leading to an increased need for electricity. In order to meet this demand the city is upgrading its infrastructure specifically focusing on improving its 35/10 kV substations. Engineers are utilizing calculation software like RastrWin3 to design and analyze these substations.This software offers capabilities, for modeling substations. Using RastrWin3 the ability to import data from sources like drawings AutoCad, GIS maps and other relevant resources. This imported data serves as the foundation for constructing the substation model. Engineers can easily incorporate components such as transformers, feeders, circuit breakers and busbars into the model. Each element of the model can be assigned parameters like voltage, current, resistance and power to represent real world conditions. Additionally, load profiles can be generated for analysis purposes to capture fluctuations, in energy demands throughout the day and year.Numerical calculation software plays a role, in the design and analysis of substations. It provides engineers with a toolset to achieve the following objectives:1. Construct models of substations.2. Simulate the behavior of substations under operational conditions.3. Resolve issues that may arise in electrical substations.4. Enhance the design and optimization of substations.One notable software in this domain is RastrWin3 which offers capabilities for calculations and simulations related to electric substations. Engineers can utilize this program to evaluate power systems, in emergency and transient modes. Accounting for various factors such as non-linearity, power and reactive power losses, as well, as the influence of capacitive coupling.Various types of loads such, as consumer loads, substation auxiliary loads and loads from protection and automation devices are considered in the modeling process. The software RastrWin3 is utilized to design and analyze 35/10 kV substations, in Turkestan. This software assists in enhancing the precision of substation design reducing the time needed for designing and developing substations improving substation efficiency and lowering maintenance costs.

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Section: Calculation Of the Operating Mode Of The District Electric N...mentioning

confidence: 99%

“…The most loaded is line W7. The load factor of line KZ is calculated by the formula: (13) It is necessary to provide measures for unloading the W7 line. When the load of this line decreases, the load on the transformer T2 will decrease, the line W3 will be unloaded, therefore, losses in the electrical network will decrease.…”

mentioning

confidence: 99%

Model Development and Calculations for 35/10 Kv Electrical Substations in Turkestan Region Using Rastrwin3 Program

Kalimoldayev,

Shermantayeva

2024

sjaitu

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“…Finding a suitable Lyapunov function remains a challenging issue in this method. Among them, some methods based on energy function and controlling unstable equilibrium point (CUEP) are applied to the power system, which respectively build partial functions satisfying theorem conditions for each component [8,9]. However, under the condition that the time derivative of the energy function is negative, it is difficult to construct the energy function in some specific systems with large transmission conductance or voltage-dependent active loads, and usually conservative results will be obtained [10].…”

Section: Introductionmentioning

confidence: 99%

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

Xie

Zhang

Zhou

et al. 2023

IET Generation Trans & Dist

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With large-scale wind farms connected to AC/DC network, the transient stability assessment (TSA) of the power system becomes more and more difficult. Among them, estimating the region of attraction (ROA) of the equilibrium point is a traditional but still challenging problem. Based on the Lyapunov stability theory, this paper proposes a new approach to obtain the enlarged estimation of the ROA. The optimization and updating strategy of shape function in the sum of squares (SOS) optimization problem are studied to reduce the conservatism of estimation result. In the proposed method, the gravitational search algorithm (GSA) is employed to optimize the coefficients of initial shape function to improve estimation performance. Based on the time-domain simulation (TDS) of expected faults, the fitness value for shape function optimization is calculated using the values of state variables at the fault clearing time and the system stability information. Furthermore, the optimal Lyapunov function is computed by introducing the update condition of shape function and adjusting the iteration strategy of the ROA estimation algorithm. Finally, the proposed method is applied to a two-machine-infinite-bus system and a more complex nine-bus AC/DC system with wind power. And the effectiveness of the proposed method is verified by comparing with the existing ROA estimation methods.

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“…A common problem with this approach lies in the calculation of the critical energy, which may lead to undetermined classification or in the conservativeness of the results. A series of techniques were developed by the authors of [3][4][5][6] to minimise these problems. Another characteristic of the direct methods is that it is not easy to correlate the results and the power system's condition after the outage.…”

Section: Introductionmentioning

confidence: 99%

Use of performance indices for contingency screening for rapid assessment of dynamic security region

Simões

Borges

Mitra

2020

IET Generation, Transmission & Distribution

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A Homotopy-Based Method for Robust Computation of Controlling Unstable Equilibrium Points

Cited by 7 publications

References 36 publications

Model Development and Calculations for 35/10 Kv Electrical Substations in Turkestan Region Using Rastrwin3 Program

Model Development and Calculations for 35/10 Kv Electrical Substations in Turkestan Region Using Rastrwin3 Program

A Lyapunov approach based on gravitational search algorithm for transient stability assessment of AC/DC systems with wind power

Use of performance indices for contingency screening for rapid assessment of dynamic security region

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