Practical Application

Practical Application

DOI: 10.4018/978-1-5225-2385-7.ch007

Abstract

In this chapter, we pay our attention to the two practical applications (Microgrid and Multi-Motors driven) for the proposed methods.
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7.1 Application To Microgrid

Motivated by environmental deterioration and energy security, there is a global trend toward the use of renewable energy sources (RES). Power network with large-scale renewable energy such as solar and wind energy has become the trend of modern power industry, and the trend impacting on power systems is more and more prominent (Ding, Xu, Wang, Wang, Song, & Chen, 2016). Recently, a great deal of attention has been devoted to the control of micro-grid systems using the recent developed nonlinear control theory, particularly the decentralized control (Etemadi, Davison, & Iravani, 2012; Mohamed & El-Saadany, 2008) and the distributed control (Anand, Fernandes, & Guerrero, 2013; Sun, Zhang, Xing, & Guerrero, 2011) to distributed energy resource units.

Here, consider a solar photovoltaic (PV) power systems using DC/DC converter as shown in Figure 1, which dynamic model can be given by

978-1-5225-2385-7.ch007.m01
(1) where 978-1-5225-2385-7.ch007.m02 and 978-1-5225-2385-7.ch007.m03 are the PV array voltage, the current on the inductance 978-1-5225-2385-7.ch007.m04, and the voltage of the capacitance 978-1-5225-2385-7.ch007.m05, respectively; 978-1-5225-2385-7.ch007.m06 and 978-1-5225-2385-7.ch007.m07 are the internal resistance on the capacitance 978-1-5225-2385-7.ch007.m08, the inductance 978-1-5225-2385-7.ch007.m09, and the power MOSFET, respectively; 978-1-5225-2385-7.ch007.m10 is the forward voltage of the power diode; 978-1-5225-2385-7.ch007.m11 is the measurable load current.

Figure 1.

PV power system

978-1-5225-2385-7.ch007.f01

Then, consider a permanent magnetic synchronous generator (PMSG) as shown in Figure 2, where it’s dynamic model in rotor reference frame can be given by

978-1-5225-2385-7.ch007.m12
(2) where 978-1-5225-2385-7.ch007.m13 and 978-1-5225-2385-7.ch007.m14. are the stator inductances in the 978-1-5225-2385-7.ch007.m15 axes; 978-1-5225-2385-7.ch007.m16 and 978-1-5225-2385-7.ch007.m17 are the stator inductances in the 978-1-5225-2385-7.ch007.m18 axes; 978-1-5225-2385-7.ch007.m19 is the measurable load current; 978-1-5225-2385-7.ch007.m20 is the flux linkage by the stator windings; 978-1-5225-2385-7.ch007.m21 is the stator resistance; 978-1-5225-2385-7.ch007.m22 is the number of poles; 978-1-5225-2385-7.ch007.m23 is the air density; 978-1-5225-2385-7.ch007.m24 is the cube of the wind speed; 978-1-5225-2385-7.ch007.m25 is the power coefficient; 978-1-5225-2385-7.ch007.m26 is the swept area; 978-1-5225-2385-7.ch007.m27 is the electrical angular speed; 978-1-5225-2385-7.ch007.m28 is the inertia of the rotating system.

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