Detailed mathematical and simulation model of a synchronous generator

Brezovec, Miljenko; Kuzle, Igor; Krpan, Matej

doi:10.37798/2015641-4147

Cited by 8 publications

(8 citation statements)

References 8 publications

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“…The stator winding is a symmetrical three phase connection each phase displaced from the other by 120°. The rotor winding consists of one field winding on the d ‐axis and two damper windings, one on the d ‐axis and the other on the q ‐axis [42].…”

Section: Methodsmentioning

confidence: 99%

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Modeling, simulation, and optimization of biogas‐diesel hybrid microgrid renewable energy system for electrification in rural area

Araoye

Ashigwuike

Egoigwe

et al. 2021

IET Renewable Power Gen

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This research performed a techno-economic analysis of diesel-biogas hybrid microgrid system. The paper modeled, designed, and simulated the microgrid system using MAT-LAB/SIMULINK and performed system optimization using HOMER software. The anaerobic digestion (AD) processes were designed and simulated with the aid of Simulink to obtain the methane yield from the reactor. Results show that the methane yield is 95.04 kg/day at a reactor temperature of 55 • C. The synchronous generator was modeled and simulated for the application of both diesel fuel and biogas fuel system. The HOMER software was used to optimize the hybrid micro-grid system with the diesel system taken as the base case. Biogas production was varied between 1 and 5 tons while the calculated energy demand of the village was 271925 kWh. At a biomass production of 4 tons and above, the hybrid system became powered by only the biogas system for total energy production. The energy produced by biogas is 452820 kWh and a cost of energy (COE) of $0.0484. The net present cost (NPC) of the base case system is $1141292 while that of the hybrid system is $176600 and that of the biogas system is $170085 which shows the saving cost of 84.5% and 85.1%, respectively, compared to the base case system over the project lifetime.This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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Section: Methodsmentioning

confidence: 99%

“…The voltage equations expressed in three phase machine variables can be written as [41,42]:

V_{a b c s} = - r_{s} I_{a b c} + ρ λ_{a b c},

V_{k q} = r_{k q} I_{k q} + ρ λ_{k q},

V_{k d} = r_{k d} I_{k d} + ρ λ_{k d},

V_{f} = r_{f} I_{f} + ρ λ_{f},

where Equation () represents the stator voltage equations and Equations (), () and () are the rotor winding equations.…”

Section: Methodsmentioning

confidence: 99%

Modeling, simulation, and optimization of biogas‐diesel hybrid microgrid renewable energy system for electrification in rural area

Araoye

Ashigwuike

Egoigwe

et al. 2021

IET Renewable Power Gen

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“…The most common approach is based on general two-reaction theory upon which a three-phase winding of a generator is substituted by one equivalent, fictitious two-phase winding projected onto the direct (d) and quadrature (q) rotor axis. That transformation is known as Park's or d-q transformation [4] […”

Section: Mathematical Model Of Synchronous Generatormentioning

confidence: 99%

“…For 15 generator modelling, the load representation that will define relations between voltages, currents and angular velocity (load angle) obtained by solving the load flow is required. To simplify the generator model analysis, the rest of the electric power system is replaced by an infinite bus, thus the system influence is reduced to an impedance, and magnitude and angle of the voltage phasor at the infinite bus [4]. Figure 14.…”

Section: Load Modelmentioning

confidence: 99%

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Nonlinear mathematical model of hydroelectric power plant

Baškarad

Kuzle²,

Tešnjak³

2022

joe

Self Cite

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Mathematical and simulation models enable hydroelectric power unit dynamic behavior analysis using computers. In this paper, nonlinear mathematical models of all elements in hydroelectrical power plant are detailed described. Basic elements of hydroelectric power unit are water supply tunnel, surge tank, penstock, water turbine and synchronous generator. If we want more credible simulations models and calculation results, we have to use nonlinear differential equations. Using these nonlinear differential equations, a simulation model was developed for Zakucac HPP.

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