Abstract
In this paper, we propose novel control schemes for regulating the voltage in Direct Current (DC) power networks, where the loads are the superposition of time-varying signals and uncertain constants. More precisely, the proposed control schemes are based on the robust output regulation methodology and, differently from the results in the literature, where the loads are assumed to be constant, we consider time-varying loads whose dynamics are described by a class of differential equations with parametric uncertainty. The proposed control schemes achieve voltage regulation and guarantee the local robust stability of the overall network in case of impedance (Z), current (I), and power (P) load types and the global robust stability in case of ZI loads. The simulation results illustrate excellent performance of the proposed control schemes in different scenarios, where real load data are considered.
Highlights
Power networks are categorized into Direct Current (DC) and Alternating Current (AC) networks
Voltage control is the main control purpose in DC networks ensuring the proper operation of the overall network, see for instance (Cucuzzella, Lazzari, Kawano, Kosaraju and Scherpen, 2019; Ferguson, Cucuzzella, & Scherpen, 2021; Iovine et al, 2018; Jeltsema & Scherpen, 2004; Kosaraju, Cucuzzella, Scherpen, & Pasumarthy, 2021; Machado, Arocas-Perez, He, Ortega, & Grino, 2018; Nahata, Soloperto, Tucci, Martinelli, & Ferrari-Trecate, 2020; Sadabadi, Shafiee, & Karimi, 2018; Strehle, Pfeifer, Malan, Krebs, & Hohmann, 2020)
We introduce the dynamics of the timevarying components of the ZIP load, i.e., Gl, Il, Pl in (2), which are modeled as outputs of dynamical exosystems
Summary
Power networks are categorized into Direct Current (DC) and Alternating Current (AC) networks. Voltage control is the main control purpose in DC networks ensuring the proper operation of the overall network, see for instance (Cucuzzella, Lazzari, Kawano, Kosaraju and Scherpen, 2019; Ferguson, Cucuzzella, & Scherpen, 2021; Iovine et al, 2018; Jeltsema & Scherpen, 2004; Kosaraju, Cucuzzella, Scherpen, & Pasumarthy, 2021; Machado, Arocas-Perez, He, Ortega, & Grino, 2018; Nahata, Soloperto, Tucci, Martinelli, & Ferrari-Trecate, 2020; Sadabadi, Shafiee, & Karimi, 2018; Strehle, Pfeifer, Malan, Krebs, & Hohmann, 2020) All these works and most of the results available in the literature ensure, to the best of our knowledge, voltage regulation and network stability in presence of constant load components only, while in practice loads are. The contributions of the paper can be listed as follows: (i) the voltage control problem in DC networks is formulated as a robust output regulation problem; (ii) for the loads we consider the superposition of time-varying and uncertain constant impedance (Z), current (I) and power (P) components, where the time-varying components of loads are modeled as outputs of dynamical exosystems (see for instance Aguirre et al, 2008; Chiang et al, 1997; Choi et al, 2006; Sira-Ramirez & RosalesDiaz, 2014; Trip et al, 2016; Vignesh et al, 2014), which is conform with output regulation theory (Huang, 2004); (iii) we propose two control schemes achieving voltage regulation and ensuring local robust stability in presence of ZIP loads, where the local result is due to the use of linearization for control design; (iv) we propose a control scheme achieving voltage regulation and ensuring global robust stability in presence of ZI loads
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