Steady State Solution

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The Experts below are selected from a list of 318 Experts worldwide ranked by ideXlab platform

A. Medina - One of the best experts on this subject based on the ideXlab platform.

N. Garcia - One of the best experts on this subject based on the ideXlab platform.

  • periodic Steady State Solution of a synchronous generator based on a voltage behind reactance formulation and the poincare map method
    International Journal of Electrical Power & Energy Systems, 2013
    Co-Authors: N. Garcia, Enrique Acha
    Abstract:

    Abstract A powerful blend based on a voltage-behind-reactance (VBR) model and the Poincare map method, suitable to carry-out harmonic oriented analyses, is presented in this paper to compute the periodic Steady-State Solution of a synchronous generator. The VBR model, as originally conceived, is modified and instead a per-unit version, tailored to the acceleration procedure, is used. The acceleration of the convergence to the periodic Steady-State is accomplished with a Newton method and the Poincare map. A Numerical Differentiation approach allows the computation of the transition matrix involved in the acceleration procedure using a sequential perturbation of the State variables. The periodic Steady-State Solution of synchronous generators is reported for a set of operating conditions such as change of load, a three-phase fault and a single-phase fault. Furthermore, the harmonic analysis of a system comprising a RLC circuit with a varying degree of unbalance, fed from a synchronous generator is carried-out with the acceleration procedure. Important speedup factors up to 145 are reported for large turbine generators. The application of a Newton based acceleration procedure to a VBR synchronous machine model yields important benefits for the efficient computation of periodic Steady-State Solutions and it is particularly useful for test cases involving large rotary machines with an inherently large inertia.

  • Periodic Steady-State Solution of a Custom Power Park using the limit cycle method
    2011 IEEE Power and Energy Society General Meeting, 2011
    Co-Authors: A. Tapia, N. Garcia
    Abstract:

    A comprehensive time domain model of a Custom Power Park, suitable for harmonic-oriented studies, is presented in this work. It comprises a Unified Power Quality Conditioner (UPQC), coupling transformers, a static transfer switch and a control system. The UPQC consists of two voltage source converters (VSC) connected throughout a DC capacitor. Whilst a shunt VSC maintains constant the bus voltage and the DC capacitor voltage, a series VSC feeds sensitive loads with distortion-free voltages. Furthermore, the transformer model incorporates its nonlinear characteristic and core losses. Limit cycle method based on the Poincaré map and a Newton method is applied to compute periodic Steady-State Solutions of the Custom Power Park. Important speed up factors up to 206 561 are reported to locate the limit cycle after a voltage disturbance. The application of the limit cycle method to custom power controllers paves the way to carry-out efficient power quality analysis at the distribution level.

  • Steady-State Solution of a wind park using the finite differences and the Newton methods
    IEEE PES General Meeting, 2010
    Co-Authors: C. Pérez-negrón, N. Garcia
    Abstract:

    An efficient discrete-time approach for the computation of the Steady-State operating point of a wind park is presented in this paper. The Finite Differences method and a Newton approach are applied to determine the Steady-State Solution of the wind park. Besides, the incorporation of sparse techniques improves the efficiency of the discrete-time Solution in terms of storage and computational effort. The wind park is modeled using a time domain frame of reference, suitable for stability studies. While the wind generators are described with a reduced order model for the asynchronous machine, the wind turbine model takes into account the dimension of the turbine and incorporates a pitch angle controller. Each wind generator incorporates a capacitor bank at its terminals for reactive compensation of the induction generator. The dynamic response of a 100 MW wind park is reported using measured wind speed sequence as input to each wind generator. Furthermore, comparisons in terms of convergence and computational effort required to determine the Steady-State Solution are reported with the Finite Differences method and a Brute Force method. Speed up factors up to 42 are obtained for a 100 MW wind park described with 300 ordinary differential equations.

  • Fast periodic Steady State Solution of systems containing thyristor switched capacitors
    2000 Power Engineering Society Summer Meeting (Cat. No.00CH37134), 2000
    Co-Authors: N. Garcia, A. Medina
    Abstract:

    In this paper, a novel, efficient and simple single-phase model of the thyristor switched capacitor (TSC) is presented. Its dynamic behaviour is described by a set of ordinary differential equations (ODEs) in the time domain. The periodic Steady-State Solution of electric systems containing this type of static VAr compensators is efficiently obtained with the application of two Newton techniques for the acceleration of time domain computations to the limit cycle. A comparative analysis between the periodic Steady-State Solutions obtained with the conventional brute force (BF) procedure and the Newton methods (numerical differentiation and direct approach, respectively) is presented in terms of total number of cycles and CPU times required to reach the limit cycle. An harmonic analysis is presented in order to analyze the harmonic distortion produced by the TSC's operation.

  • Time domain accelerated periodic Steady-State Solution of systems containing TCRs
    7th IEEE International Power Electronics Congress. Technical Proceedings. CIEP 2000 (Cat. No.00TH8529), 2000
    Co-Authors: N. Garcia, A. Medina
    Abstract:

    The undesired harmonic effects of a three-phase TCR are analyzed in this paper. The basis of a simple model for the description of the dynamic behaviour of a three phase TCR is presented. Two Newton techniques to accelerate the convergence to the limit cycle are described and applied to obtain the periodic Steady-State Solution of the electric network. The two Newton methodologies and the brute force alternative are compared in terms of total number of cycles and CPU time required to obtain the Steady-State Solution.

Raimundo Ribeiro P., - One of the best experts on this subject based on the ideXlab platform.

  • Steady-State Solution for Power Networks Modeled at Bus Section Level
    IEEE Transactions on Power Systems, 2010
    Co-Authors: Elizete Maria Lourenco, Antonio Simoes Costa, Raimundo Ribeiro P.,
    Abstract:

    This paper extends the conventional power flow formulation in order to enable the Solution of networks modeled at the bus section level. The proposed extension is centered on a methodology to represent zero impedance branches successfully employed in State estimation studies. Accordingly, the active and reactive power flows through switches and circuit breakers are treated as new State variables along with the complex voltage at the network nodes. Information regarding device statuses is included into the power flow problem as new (and linear) equations, producing a solvable non-redundant set of algebraic equations. Applications of the proposed modifications in connection with the power flow Solution via Newton-Raphson's method are presented and discussed. The proposed approach provides an efficient tool to directly determine the power flow distribution over selected substations of the network, avoiding unreliable artifices and tedious post-processing procedures required when a conventional power flow formulation is applied. The IEEE 24-bus and IEEE 30-bus test systems are employed to illustrate and evaluate the proposed approach, considering distinct substation layouts.

Elizete Maria Lourenco - One of the best experts on this subject based on the ideXlab platform.

  • Steady-State Solution for Power Networks Modeled at Bus Section Level
    IEEE Transactions on Power Systems, 2010
    Co-Authors: Elizete Maria Lourenco, Antonio Simoes Costa, Raimundo Ribeiro P.,
    Abstract:

    This paper extends the conventional power flow formulation in order to enable the Solution of networks modeled at the bus section level. The proposed extension is centered on a methodology to represent zero impedance branches successfully employed in State estimation studies. Accordingly, the active and reactive power flows through switches and circuit breakers are treated as new State variables along with the complex voltage at the network nodes. Information regarding device statuses is included into the power flow problem as new (and linear) equations, producing a solvable non-redundant set of algebraic equations. Applications of the proposed modifications in connection with the power flow Solution via Newton-Raphson's method are presented and discussed. The proposed approach provides an efficient tool to directly determine the power flow distribution over selected substations of the network, avoiding unreliable artifices and tedious post-processing procedures required when a conventional power flow formulation is applied. The IEEE 24-bus and IEEE 30-bus test systems are employed to illustrate and evaluate the proposed approach, considering distinct substation layouts.

  • Fast decoupled Steady-State Solution for power networks modeled at the bus section level
    2009 IEEE Bucharest PowerTech, 2009
    Co-Authors: Elizete Maria Lourenco, Nastasha Salame Da Silva, Antonio Simoes Costa
    Abstract:

    Conventional tools to provide Steady-State power network Solutions rely on bus-branch models, in which a ldquobusrdquo is actually the result of merging internal electrical nodes pertaining to given substation. The corresponding network Solutions are thus unable to readily provide information about variables internal to the substations, such as power flows through circuit breakers and bus-section nodal voltages. Since the knowledge of such variables is important to several applications, such as real-time topology estimation and corrective switching methods, the need then arises to re-examine the power flow formulation in order to obtain detailed Solutions at the substation level. This paper addresses that problem by extending the decoupled power flow formulation in order to allow the representation of selected parts of the network at the substation level. For that purpose, the State vector is expanded so as to include power flows through switching branches as new State variables, in addition to the conventional nodal voltages. Moreover, information regarding the status of switching branches is taken into account as additional linear equations to be solved along with the traditional power flow equations. Simulating results considering several substation layouts and two IEEE test systems are used to illustrate and evaluate the proposed approach.

A. Ramos-paz - One of the best experts on this subject based on the ideXlab platform.