The Effects of Machine Components on Bifurcation and Chaos as Applied to Multimachine System

Alomari, Majdi M.; Rodanski, Benedykt

doi:10.1142/9789814271349_0001

Cited by 4 publications

(3 citation statements)

References 6 publications

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“…Each section of the mechanical system of the two generators is represented by second order ordinary differential equation (swing equation) which is presented in state space model as two first order ordinary differential equations. The mathematical model of the electrical and mechanical systems is given in [11]. As a result, this systems can be mathematically represented as a set of first order nonlinear ordinary differential equations with the compensation factor ) / ( L c X X   as a bifurcation parameter.…”

Section: System Description and Mathematical Modelmentioning

confidence: 99%

“…This subsection presents the results of the numerical simulations when the power system has no UPFC. In this case, the mathematical model of the system is represented by 27 ordinary nonlinear coupled differential equations [11]. The synchronous generators are heavily loaded with an output active power of 0.9 pu and output reactive power of 0.43 pu.…”

Section: A System Response Without Upfcmentioning

confidence: 99%

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Hopf Bifurcation Control of Subsynchronous Resonance Utilizing UPFC

Alomari

Widyan

Abdul-Niby

et al. 2017

Eng. Technol. Appl. Sci. Res.

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The use of a unified power flow controller (UPFC) to control the bifurcations of a subsynchronous resonance (SSR) in a multi-machine power system is introduced in this study. UPFC is one of the flexible AC transmission systems (FACTS) where a voltage source converter (VSC) is used based on gate-turn-off (GTO) thyristor valve technology. Furthermore, UPFC can be used as a stabilizer by means of a power system stabilizer (PSS). The considered system is a modified version of the second system of the IEEE second benchmark model of subsynchronous resonance where the UPFC is added to its transmission line. The dynamic effects of the machine components on SSR are considered. Time domain simulations based on the complete nonlinear dynamical mathematical model are used for numerical simulations. The results in case of including UPFC are compared to the case where the transmission line is conventionally compensated (without UPFC) where two Hopf bifurcations are predicted with unstable operating point at wide range of compensation levels. For UPFC systems, it is worth to mention that the operating point of the system never loses stability at all realistic compensation degrees and therefore all power system bifurcations have been eliminated.

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Section: System Description and Mathematical Modelmentioning

confidence: 99%

Section: A System Response Without Upfcmentioning

confidence: 99%

Hopf Bifurcation Control of Subsynchronous Resonance Utilizing UPFC

Alomari

Widyan

Abdul-Niby

et al. 2017

Eng. Technol. Appl. Sci. Res.

View full text Add to dashboard Cite

show abstract

“…The generator model considered in this study includes five equations, d-axis stator winding, q-axis stator winding, d-axis rotor field winding, q-axis rotor damper winding and d-axis rotor damper winding equations. Each mass of the mechanical can be modeled by a second order ordinary differential equation (swing equation), which is presented in state space model as two first order ordinary differential equations [15]. Using the direct and quadrature d-q-axes and Park's transformation, we can write the complete mathematical model that describes the dynamics of the system as follows:…”

Section: Mathematical Modelmentioning

confidence: 99%