Mathematical model for describing characteristics of TCSC

Juncheng, Geng; Tong, Luyuan; Ge, Jun; Wang, Zhonghong

doi:10.1109/icpst.2002.1067780

Cited by 20 publications

(7 citation statements)

References 2 publications

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“…x TCSC indicates the equivalent reactance value of TCSC for fundamental harmonic, which can be positive (inductive) or negative (capacitive) depending on α TCSC , which indicates the firing angle of TCSC's thyristor valve, and can be given as

\begin{matrix} alignleft \\ align-1 & align-2 x_{TCSC} = - x_{C} + K_{1} {2 (π - α_{TCSC}) + \sin [2 (π - α_{TCSC})]} \\ align-1 & align-2 + K_{2} \overset{2}{\cos} (π - α_{TCSC}) {ϖ tan [ϖ (π - α_{TCSC})] - tan (π - α_{TCSC})} \end{matrix}

where

\begin{matrix} alignleft \\ align-1 K_{1} & align-2 = \frac{x_{C} + x_{LC}}{π} \end{matrix}

\begin{matrix} alignleft \\ align-1 & align-2 \\ align-1 K_{2} & align-2 = - \frac{4 x_{LC}^{2}}{x_{L} π} \end{matrix}

\begin{matrix} alignleft \\ align-1 & align-2 \\ align-1 ϖ & align-2 = \sqrt{\frac{x_{C}}{x_{L}}} \end{matrix}

x C and x L in –(5) indicate the fundamental harmonic reactance of TCSC's capacitor and inductor, respectively. In , x LC can be written as

x_{LC} = x_{C} x_{<...>}

…”

Section: Illustration Of the Proposed Tcsc Model For Power Flow Algormentioning

confidence: 99%

A robust power flow model for active power flow control via thyristor‐controlled series compensator

Yalçın

2016

IEEJ Transactions Elec Engng

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In this paper, a new power flow model for active power flow control through a thyristor-controlled series compensator (TCSC) in an AC network system is proposed. The proposed power flow model is based on the Newton-Raphson method. In this model, TCSC's admittance effect is included as a state variable into the Jacobian matrix to avoid the divergence problem. Unlike similar studies in the literature, TCSC's admittance is ignored in the bus admittance matrix, and the need for rebuilding the bus admittance matrix in each power flow iteration caused by the change of TCSC's admittance is prevented. So, faster convergence for power flow calculation is achieved. For this aim, new power equations are obtained. Also, in the proposed approach, we need not consider each terminal of TCSC as an individual bus in the power flow calculation. Thus, increasing the Jacobian and bus admittance matrixes sizes caused by the total bus number is prevented. The proposed approach is tested on an IEEE 57-bus test system. The obtained results prove that this approach provides efficient, reliable, and fast convergence.

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\begin{matrix} alignleft \\ align-1 & align-2 x_{TCSC} = - x_{C} + K_{1} {2 (π - α_{TCSC}) + \sin [2 (π - α_{TCSC})]} \\ align-1 & align-2 + K_{2} \overset{2}{\cos} (π - α_{TCSC}) {ϖ tan [ϖ (π - α_{TCSC})] - tan (π - α_{TCSC})} \end{matrix}

where

\begin{matrix} alignleft \\ align-1 K_{1} & align-2 = \frac{x_{C} + x_{LC}}{π} \end{matrix}

\begin{matrix} alignleft \\ align-1 & align-2 \\ align-1 K_{2} & align-2 = - \frac{4 x_{LC}^{2}}{x_{L} π} \end{matrix}

\begin{matrix} alignleft \\ align-1 & align-2 \\ align-1 ϖ & align-2 = \sqrt{\frac{x_{C}}{x_{L}}} \end{matrix}

x C and x L in –(5) indicate the fundamental harmonic reactance of TCSC's capacitor and inductor, respectively. In , x LC can be written as

x_{LC} = x_{C} x_{<...>}

…”

Section: Illustration Of the Proposed Tcsc Model For Power Flow Algormentioning

confidence: 99%

A robust power flow model for active power flow control via thyristor‐controlled series compensator

Yalçın

2016

IEEJ Transactions Elec Engng

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“…During a sudden overload of the valve, and also during fault conditions, the metallic contact is closed to minimize the stress on the valve as shown in Fig. 1(b) [11][12][13][14][15][16][17][18][19].…”

Section: A Basic Modulementioning

confidence: 99%

Power System Stability Improvement with Flexible A.C. Transmission System (FACTs) Controller

Mahajan

2008

2008 Joint International Conference on Power System Technology and IEEE Power India Conference

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Transient stability is important from the view point of maintaining system security that is the incidence of a fault should not lead to tripping of generating unit due to loss of synchronism and the possibility of a cascaded outage leading to system black out. TCSC allows the fundamental capacitive reactance to be smoothly controlled over a wide range. The TCSC controller can be designed to control the power flow, to increase the transfer limits or to improve the transient stability. The TCSC controller can provide a very fast action to increase the synchronization power through quick changing of the equivalent capacitive reactance to the full compensation in the first few cycles after a fault, hence subsequent oscillations are damped. In the present work TCSC controller for single machine infinite bus (SMIB) and multi-machine power system is designed using SIMULINK (a software tool associated with MATLAB). Multi-machine power system with turbine and governing system is modeled. Modeling is done for system with TCSC controller. Effect of TCSC controller parameter variation on rotor angle is also studied. A detailed analysis is conducted for the proposed controller for different fault clearing time. It has been observed that TCSC controller can improve the stability margin significantly. TCSC controller provides variable impedance, which is required for the compensation. The presented controller is suitable only in capacitive zone. For the transition from a capacitive vernier mode to bypass mode the TCSC controller can be modeled with detailed dynamics.

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“…3, is possible across the TCSC which modify the transmission line impedance. Effective TCSC reactance X TCSC with respect to alpha (Į) can be given as [6][7][8] shows the reactance characteristics curve of a TCSC device. It is drawn between effective reactance of TCSC and firing angle Į.…”

Section: Introductionmentioning

confidence: 99%

Selection of TCSC parameters: Capacitor and inductor

Meikandasivam

Nema

Jain

2011

India International Conference on Power Electronics 2010 (IICPE2010)

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Thyristor controlled series compensator (TCSC) device is a series compensator to govern the power flow by compensating the reactance of the transmission line. Both capacitive and inductive reactance compensations are possible by proper selection of capacitor and inductor values of the TCSC device which can be realized through reactance equation. This paper presents a conceptual study to adopt an apt value for the capacitor and inductor of a TCSC device. Degree of Series compensation (K) brings an idea of selecting the TCSC capacitor. The Reactance characteristic curve is analyzed with resonant point for different values of 'Ȧ' which defines the square root of ratio between capacitive and inductive reactance. The study is helpful in selecting an appropriate value for TCSC inductor which has influence on multi resonance point in TCSC device. Additionally, power flows in the transmission line are discussed with tabulation to realize the operating span of the TCSC for various values of 'Ȧ'. While designing, TCSC parameters can also be selected as per requirement on end side demands and for safe operating span of a TCSC.

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Mathematical model for describing characteristics of TCSC

Cited by 20 publications

References 2 publications

A robust power flow model for active power flow control via thyristor‐controlled series compensator

A robust power flow model for active power flow control via thyristor‐controlled series compensator

Power System Stability Improvement with Flexible A.C. Transmission System (FACTs) Controller

Selection of TCSC parameters: Capacitor and inductor

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