Abstract
The task of the whole microgrid state-space matrix creation is usually done in a preferred textual programming language, and it presents a complicated, time-consuming, and error-prone job for a researcher without good coding practices. To ease the modeling task, contribute to the adaptation of new microgrid structures, control algorithms, and devices, and to improve the flexibility of the model, a graphical element building block method is proposed in this paper. With the proposed approach model creation of the whole microgrid is reduced to the creation of the individual element state-space model that is linked with other elements in a logical way with a graphical connection. Elements are then grouped into meaningful wholes and encapsulated with the appropriate graphical user interface that enables easy parameter modification and model complexity change. More detailed DC/DC and DC/AC models of converters than those in the literature concerning microgrid stability are presented in this paper. Those converters are incorporated in a microgrid, whose model is created using the proposed approach in MATLAB/Simulink. The dynamic response examination of the model remains easy, just as with all Simulink models, while for the linear system analysis, a specialized toolbox is used.
Highlights
A large number of rural areas around the world require the use of Renewable Energy Sources (RESs) as the only solution for power supply
The autonomous microgrid imposes itself as an efficient and reliable solution in these conditions, where access to the main utility grid is unavailable or inefficient and costly. The electrification of such areas through a Low Voltage (LV) microgrid is achieved using the RESs as constitutive parts of distributive generation and Energy Storage Devices (ESDs)
This study indicates the need for a new methodology for dominant eigenvalues selection and system reduction
Summary
A large number of rural areas around the world require the use of Renewable Energy Sources (RESs) as the only solution for power supply. Stability analysis based on eigenvalues derived from the detailed state-space model of the droop controlled microgrid is introduced in [11,12,13]. The rest of this paper is organized as follows: Section 2 gives the detailed linearized state-space models of each element of the microgrid. To apply the building block method and perform small-signal stability analysis with LAT, an LAT, an individual state-space models of each component in the microgrid needs to be modeled. In Equation (3), Db , Udc , and Iinb represent the steady-state duty cycle, output DC-link voltage, and input inductor current, respectively. A similar principle is applied throughout the paper, where the upper-case symbols after linearization stand for the operating point of the system
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