Multiscale Simulation of Power System Transients Based on the Matrix Exponential Function

Wang, Chengshan; Fu, Xiaopeng; Li, Peng; Wu, Jianzhong; Wang, Liwei

doi:10.1109/tpwrs.2016.2598883

Cited by 21 publications

(14 citation statements)

References 34 publications

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“…Consider linear SPS (15) with Assumption 1 is fulfilled. If the composite FTC law (2) is designed according to (21) and (22), then there exists a positive constant * such that the origin of system (15) is asymptotically stable for any ∈ (0, * ).…”

Section: Stability Analysismentioning

confidence: 99%

Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances

Yang

Wang

Morˇrescu

et al. 2020

Intl J Robust & Nonlinear

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The article proposes several fault-tolerant control (FTC) laws for singularly perturbed systems (SPS) with actuator faults and disturbances. One of the main challenges in this context is that the fast-slow decomposition is not available for actuator faults and disturbances. In view of this, some conditions for the asymptotic stability of the closed-loop dynamics are investigated by amending the composite Lyapunov approach. On top of this, a closed-form expression of the upper bound of singular perturbation parameter (SPP) is provided. Moreover, we design several SPP-independent composite FTC laws, which can be applied when this parameter is unknown. Finally, the chattering phenomenon is eliminated by using the continuous approximation technique. We also emphasize that, for linear SPSs, the FTC design can be formulated as a set of linear matrix inequalities, while the SPP upper bound can be obtained by solving a convex optimization problem. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.

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Section: Stability Analysismentioning

confidence: 99%

Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances

Yang

Wang

Morˇrescu

et al. 2020

Intl J Robust & Nonlinear

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“…On the basis of Reference [37], universal design of the linear equations solving module is proposed in this paper. The n-dimensional matrix-vector multiplication (3) is expanded by adding 0, as shown in Equations (4)- (6). The dimension of the vectors and the matrix is increased from the dimension of an ADN case n to a fixed value N, as shown in Equation 7.…”

Section: Universal Design Of the Linear Equations Solving Modulementioning

confidence: 99%

“…Thus, researchers prefer to use transient simulation tools with detailed models to explore the dynamic characteristics and operation mechanisms of ADNs [5]. Compared with off-line transient simulation [6], real-time simulation of ADNs can not only simulate the complex dynamic and static characteristics of various equipment components within the system, but also perform hardware-in-the-loop (HIL) simulation with external physical devices. HIL simulation is of significance in online tests of hardware devices, such as the control and protection devices of ADNs [7].…”

Section: Introductionmentioning

confidence: 99%

A Universal Design of FPGA-Based Real-Time Simulator for Active Distribution Networks Based on Reconfigurable Computing

Jin

et al. 2019

Energies

Self Cite

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Reconfigurable computing is that the logical resources in the system can be reconfigured according to the real-time changing data flow to achieve different calculation functions. The reconfigurable computing system has both high efficiency on hardware and universality of software. The field programmable gate array (FPGA)-based real-time simulator for active distribution networks (ADNs) requires a long compilation time for case modification, with low efficiency and low versatility, making it inconvenient and difficult for users. To solve the problem of long compile time with a new case, a universal design of the FPGA-based real-time simulator for ADNs based on reconfigurable computing is proposed in this paper. It includes the universal design of the simulation parameter configuration, the simulation initial value setting, the linear equations solving module and the simulation result output module. The proposed universal design of the simulator makes the modification and change of the cases and parameters without recompiling and further improves the simulation efficiency. Simulation results are conducted and compared with PSCAD/EMTDC to validate the correctness and effectiveness of the universal design.

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“…The FAST‐based multi‐scale transient models of frequency‐dependent transmission line and induction machinery were developed respectively in [24, 25]. The matrix exponential function method is used to accelerate the simulation of slow‐changing transients, while fast transients are accurately reconstructed through an efficient dense output mechanism [26]. The algorithm was validated by performing the multi‐scale transients in a wind farm consisting of 66 1.5‐MW fixed‐speed induction generators.…”

Section: Introductionmentioning

confidence: 99%

Multi‐scale transient modelling and simulation for distribution network‐interactive CHB multilevel converters

Kong

Tang

et al. 2019

IET Generation, Transmission & Distribution

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Multiscale Simulation of Power System Transients Based on the Matrix Exponential Function

Cited by 21 publications

References 34 publications

Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances

Fault‐tolerant control of singularly perturbed systems with actuator faults and disturbances

A Universal Design of FPGA-Based Real-Time Simulator for Active Distribution Networks Based on Reconfigurable Computing

Multi‐scale transient modelling and simulation for distribution network‐interactive CHB multilevel converters

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