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L Zajac - One of the best experts on this subject based on the ideXlab platform.

  • modular multilevel converter with different Submodule concepts part i capacitor voltage balancing method
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper presents a modulation strategy for the modular multilevel converter (MMC) which provides the voltage balancing of the capacitors of different Submodules comprising the converter. Not only is this modulation applicable to MMCs constructed with classic two level (2L) Submodules, but it is also effective for arrangements with different Submodule concepts, for instance, topologies like neutral point clamped (NPC), flying capacitors (FCs), neutral point piloted (NPP), etc. Therefore, firstly, the general modulation philosophy is explained applied to the two level (2L) Submodule concept, and secondly, the extension to 3L-NPC and 3L-FC Submodule topologies is analyzed. After that, the validation of the studied modulation strategy is carried out by means of successful simulation results, at different switching frequencies and number of Submodules. The corresponding experimental results are shown in Part II of this paper after having implemented the aforementioned modulation strategy in a real test bench. In addition to this, a comparison based on thermal analysis and sizing of elements among the four studied Submodule topologies is also included.

  • modular multilevel converter with different Submodule concepts part ii experimental validation and comparison for hvdc application
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper is the continuation of part I in which a modulation strategy for the modular multilevel converter, which provides voltage balancing of the capacitors of different Submodules comprising the converter, is presented. Here, the validation of the studied modulation strategy is carried out by means of successful experimental results in a downscaled real test bench. First, the converter Submodules are 2L topologies, and then the connections are changed to configure 3L-FC Submodules showing the effectiveness and implementability of the proposed modulation in different Submodule concepts. Finally, a comparison based on thermal analysis and sizing of elements among 2L, 2L serializing several insulated gate bipolar transistors per valve, 3L-FC, and 3L-NPC Submodule concepts is made.

Abu-dawwas Rashid - One of the best experts on this subject based on the ideXlab platform.

  • On Graded $\phi$-Prime Submodules
    2021
    Co-Authors: Alshehry, Azzh Saad, Abu-dawwas Rashid
    Abstract:

    Let $R$ be a graded commutative ring with non-zero unity $1$ and $M$ be a graded unitary $R$-module. Let $GS(M)$ be the set of all graded $R$-Submodules of $M$ and $\phi: GS(M)\rightarrow GS(M)\bigcup\{\emptyset\}$ be a function. A proper graded $R$-Submodule $K$ of $M$ is said to be a graded $\phi-$prime $R$-Submodule of $M$ if whenever $r$ is a homogeneous element of $R$ and $m$ is a homogeneous element of $M$ such that $rm\in K-\phi(K)$, then either $m\in K$ or $r\in (K:_{R}M)$. If $\phi(K)=\emptyset$ for all $K\in GS(M)$, then a graded $\phi-$prime Submodule is exactly a graded prime Submodule. If $\phi(K)=\{0\}$ for all $K\in GS(M)$, then a graded $\phi-$prime Submodule is exactly a graded weakly prime Submodule. Several properties of graded $\phi-$prime Submodules have been investigated.Comment: arXiv admin note: text overlap with arXiv:2101.1115

  • On Graded $1$-Absorbing Prime Submodules
    2021
    Co-Authors: Ka'abneh Ahmad, Abu-dawwas Rashid
    Abstract:

    Let $G$ be a group with identity $e$, $R$ be a commutative $G$-graded ring with unity $1$ and $M$ be a $G$-graded unital $R$-module. In this article, we introduce the concept of graded $1$-absorbing prime Submodule. A proper graded $R$-Submodule $N$ of $M$ is said to be a graded $1$-absorbing prime $R$-Submodule of $M$ if for all non-unit homogeneous elements $x, y$ of $R$ and homogeneous element $m$ of $M$ with $xym\in N$, either $xy\in (N :_{R} M)$ or $m\in N$. We show that the new concept is a generalization of graded prime Submodules at the same time it is a special graded $2$-absorbing Submodule. Several properties of a graded $1$-absorbing prime Submodule have been obtained. We investigate graded $1$-absorbing prime Submodules when the components $\left\{M_{g}:g\in G\right\}$ are multiplication $R_{e}$-modules

  • On Graded 2-Absorbing Coprimary Submodules
    2021
    Co-Authors: Bataineh Malik, Abu-dawwas Rashid
    Abstract:

    The aim of this article is to introduce the concept of graded $2$-absorbing coprimary Submodules as a generalization of graded strongly $2$-absorbing second Submodules, and explore some properties of this class. A non-zero graded $R$-Submodule $N$ of a graded $R$-module $M$ is called a graded $2$-absorbing coprimary $R$-Submodule if whenever $x, y$ are homogeneous elements of $R$ and $K$ is a graded $R$-Submodule of $M$ such that $xyN\subseteq K$, then either $x$ or $y$ is in the graded radical of $(K :_{R} N)$ or $xy\in Ann_{R}(N)$. Several results have been achieved.Comment: arXiv admin note: text overlap with arXiv:2101.0655

  • On Generalizations of Graded $2$-absorbing and Graded $2$-absorbing primary Submodules
    2021
    Co-Authors: Alshehry, Azzh Saad, Abu-dawwas Rashid
    Abstract:

    Let $R$ be a graded commutative ring with non-zero unity $1$ and $M$ be a graded unitary $R$-module. In this article, we introduce the concepts of graded $\phi$-$2$-absorbing and graded $\phi$-$2$-absorbing primary Submodules as generalizations of the concepts of graded $2$-absorbing and graded $2$-absorbing primary Submodules. Let $GS(M)$ be the set of all graded $R$-Submodules of $M$ and $\phi: GS(M)\rightarrow GS(M)\bigcup\{\emptyset\}$ be a function. A proper graded $R$-Submodule $K$ of $M$ is said to be a graded $\phi$-$2$-absorbing $R$-Submodule of $M$ if whenever $x, y$ are homogeneous elements of $R$ and $m$ is a homogeneous element of $M$ with $xym\in K-\phi(K)$, then $xm\in K$ or $ym\in K$ or $xy\in (K :_{R} M)$, and $K$ is said to be a graded $\phi$-$2$-absorbing primary $R$-Submodule of $M$ if whenever $x, y$ are homogeneous elements of $R$ and $m$ is a homogeneous element of $M$ with $xym\in K-\phi(K)$, then $xm$ or $ym$ is in the graded radical of $K$ or $xy\in (K:_{R}M)$. We investigate several properties of these new types of graded Submodules.Comment: arXiv admin note: text overlap with arXiv:2102.0415

E Solas - One of the best experts on this subject based on the ideXlab platform.

  • modular multilevel converter with different Submodule concepts part i capacitor voltage balancing method
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper presents a modulation strategy for the modular multilevel converter (MMC) which provides the voltage balancing of the capacitors of different Submodules comprising the converter. Not only is this modulation applicable to MMCs constructed with classic two level (2L) Submodules, but it is also effective for arrangements with different Submodule concepts, for instance, topologies like neutral point clamped (NPC), flying capacitors (FCs), neutral point piloted (NPP), etc. Therefore, firstly, the general modulation philosophy is explained applied to the two level (2L) Submodule concept, and secondly, the extension to 3L-NPC and 3L-FC Submodule topologies is analyzed. After that, the validation of the studied modulation strategy is carried out by means of successful simulation results, at different switching frequencies and number of Submodules. The corresponding experimental results are shown in Part II of this paper after having implemented the aforementioned modulation strategy in a real test bench. In addition to this, a comparison based on thermal analysis and sizing of elements among the four studied Submodule topologies is also included.

  • modular multilevel converter with different Submodule concepts part ii experimental validation and comparison for hvdc application
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper is the continuation of part I in which a modulation strategy for the modular multilevel converter, which provides voltage balancing of the capacitors of different Submodules comprising the converter, is presented. Here, the validation of the studied modulation strategy is carried out by means of successful experimental results in a downscaled real test bench. First, the converter Submodules are 2L topologies, and then the connections are changed to configure 3L-FC Submodules showing the effectiveness and implementability of the proposed modulation in different Submodule concepts. Finally, a comparison based on thermal analysis and sizing of elements among 2L, 2L serializing several insulated gate bipolar transistors per valve, 3L-FC, and 3L-NPC Submodule concepts is made.

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

  • modular multilevel converter with different Submodule concepts part i capacitor voltage balancing method
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper presents a modulation strategy for the modular multilevel converter (MMC) which provides the voltage balancing of the capacitors of different Submodules comprising the converter. Not only is this modulation applicable to MMCs constructed with classic two level (2L) Submodules, but it is also effective for arrangements with different Submodule concepts, for instance, topologies like neutral point clamped (NPC), flying capacitors (FCs), neutral point piloted (NPP), etc. Therefore, firstly, the general modulation philosophy is explained applied to the two level (2L) Submodule concept, and secondly, the extension to 3L-NPC and 3L-FC Submodule topologies is analyzed. After that, the validation of the studied modulation strategy is carried out by means of successful simulation results, at different switching frequencies and number of Submodules. The corresponding experimental results are shown in Part II of this paper after having implemented the aforementioned modulation strategy in a real test bench. In addition to this, a comparison based on thermal analysis and sizing of elements among the four studied Submodule topologies is also included.

  • modular multilevel converter with different Submodule concepts part ii experimental validation and comparison for hvdc application
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper is the continuation of part I in which a modulation strategy for the modular multilevel converter, which provides voltage balancing of the capacitors of different Submodules comprising the converter, is presented. Here, the validation of the studied modulation strategy is carried out by means of successful experimental results in a downscaled real test bench. First, the converter Submodules are 2L topologies, and then the connections are changed to configure 3L-FC Submodules showing the effectiveness and implementability of the proposed modulation in different Submodule concepts. Finally, a comparison based on thermal analysis and sizing of elements among 2L, 2L serializing several insulated gate bipolar transistors per valve, 3L-FC, and 3L-NPC Submodule concepts is made.

Gonzalo Abad - One of the best experts on this subject based on the ideXlab platform.

  • modular multilevel converter with different Submodule concepts part i capacitor voltage balancing method
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper presents a modulation strategy for the modular multilevel converter (MMC) which provides the voltage balancing of the capacitors of different Submodules comprising the converter. Not only is this modulation applicable to MMCs constructed with classic two level (2L) Submodules, but it is also effective for arrangements with different Submodule concepts, for instance, topologies like neutral point clamped (NPC), flying capacitors (FCs), neutral point piloted (NPP), etc. Therefore, firstly, the general modulation philosophy is explained applied to the two level (2L) Submodule concept, and secondly, the extension to 3L-NPC and 3L-FC Submodule topologies is analyzed. After that, the validation of the studied modulation strategy is carried out by means of successful simulation results, at different switching frequencies and number of Submodules. The corresponding experimental results are shown in Part II of this paper after having implemented the aforementioned modulation strategy in a real test bench. In addition to this, a comparison based on thermal analysis and sizing of elements among the four studied Submodule topologies is also included.

  • modular multilevel converter with different Submodule concepts part ii experimental validation and comparison for hvdc application
    IEEE Transactions on Industrial Electronics, 2013
    Co-Authors: E Solas, Gonzalo Abad, J A Barrena, S Aurtenetxea, A Carcar, L Zajac
    Abstract:

    This paper is the continuation of part I in which a modulation strategy for the modular multilevel converter, which provides voltage balancing of the capacitors of different Submodules comprising the converter, is presented. Here, the validation of the studied modulation strategy is carried out by means of successful experimental results in a downscaled real test bench. First, the converter Submodules are 2L topologies, and then the connections are changed to configure 3L-FC Submodules showing the effectiveness and implementability of the proposed modulation in different Submodule concepts. Finally, a comparison based on thermal analysis and sizing of elements among 2L, 2L serializing several insulated gate bipolar transistors per valve, 3L-FC, and 3L-NPC Submodule concepts is made.