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  • 1.
    Ding, Jianguo
    et al.
    Blekinge Tekniska Högskola, Institutionen för datavetenskap.
    Tadesse Aklilu, Yohannes
    University of Skövde, School of Engineering Science. University of Skövde, Virtual Engineering Research Environment.
    Blockchain for Smart Grid Operations, Control and Management2022Report (Other academic)
    Abstract [en]

    A comprehensive overview of blockchain-based smart grid management, control, and operation solutions. The report compares with related reviews and highlights the challenges in management, control, and operation for a blockchain-based smart grid, as well as future research directions in five categories: collaboration between actors, data analytics and management, control of network imbalances, decentralization of network management and operation, security and privacy.

    The report reviews how blockchain technology can potentially solve the challenges of decentralized solutions for future renewable energy systems. As a result, several applications of blockchain for renewable energy are discussed, such as electric vehicles, decentralized P2P energy transactions, carbon certification and trading, physical information security, energy transfer, Energy-to-X, and the Internet of Energy.

    A guideline for the implementation of blockchain to corresponding applications for future renewable energy is also presented in this report. This includes the different blockchain system architectures, the data flow from the power grid processed and recorded, the choice of the appropriate consensus, and the different blockchain frameworks.

    Download full text (pdf)
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  • 2.
    Källström, Rolf
    et al.
    Department of Mathematics, University of Gävle, Sweden.
    Tadesse, Yohannes
    Department of Mathematics, University of Stockholm, Sweden.
    Hilbert series of modules over Lie algebroids2015In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 432, p. 129-184Article in journal (Refereed)
    Abstract [en]

    We consider modules M over Lie algebroids gA which are of finite type over a local noetherian ring A. Using ideals J ⊂ A such that gA ·J ⊂ J and the length ℓgA (M/JM) < ∞ we can define in a natural way the Hilbert series of M with respect to the defining ideal J. This notion is in particular studied for modules over the Lie algebroid of k-linear derivations gA = TA(I) that preserve an ideal I ⊂ A, for example when A = On, the ring of convergent power series. Hilbert series over Stanley-Reisner rings are also considered.

  • 3.
    Tadesse, Yohannes
    Department of Mathematics, Addis Ababa University, Ethiopia ; Department of Mathematics, Stockholm University, Sweden.
    Derivations Preserving a Monomial Ideal2009In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 137, no 9, p. 2935-2942Article in journal (Refereed)
    Abstract [en]

    Let I be a monomial ideal in a polynomial ring A = k[x1, . . . ,xn] over a field k of characteristic 0, TA/k(I) be the module of I-preserving k-derivations on A and G be the n-dimensional algebraic torus on k. We computethe weight spaces of TA/k(I) considered as a representation of G. Using this, we show that TA/k(I) preserves the integral closure of I and the multiplierideals of I.

  • 4.
    Tadesse, Yohannes
    Department of Mathematics, Stockholm University, Sweden.
    Poincaré Series of Monomial Rings with Minimal Taylor Resolution2011Manuscript (preprint) (Other academic)
    Abstract [en]

    We give a comparison between the Poincare series of two monomial rings: R=A/I and Rq=A/Iq where Iq is a monomial ideal generated by the q'th power of monomial generators of I. We compute the Poincare series for a class of monomial rings with minimal Taylor resolution. The paper was produced during Pragmatic 2011. 

  • 5.
    Tadesse, Yohannes
    Department of Mathematics, Stockholm University, Sweden.
    Poincaré series of monomial rings with minimal Taylor resolution2012In: Le Matematiche, ISSN 0373-3505, Vol. 67, no 1, p. 119-128Article in journal (Refereed)
    Abstract [en]

    We give a comparison between the Poincaré series of two monomial rings: R = A/I and R_q = A/I_q where I_q is a monomial ideal generated by the q’th power of monomial generators of I. We compute the Poincaré series for a new class of monomial ideals with minimal Taylor resolution. We also discuss the structure a monomial ring with minimal Taylor resolution where the ideal is generated by quadratic monomials.

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    fulltext
  • 6.
    Tadesse, Yohannes
    Stockholms universitet, Matematiska institutionen.
    Tangential Derivations, Hilbert Series and Modules over Lie Algebroids2011Doctoral thesis, comprehensive summary (Other academic)
    Abstract [en]

    Let A/k be a local commutative algebra over a field k of characteristic 0, and T_{A/k} be the module of k-linear derivations on A. We study, in two papers, the set of k-linear derivations on A which are tangential to an ideal I of A (preserves I), defining an A-submodule T_{A/k}(I) of T_{A/k}, which moreover is a k-Lie subalgebra. More generally we consider Lie algebroids g_A over A and modules over g_A.

    Paper I: Using the action of an algebraic torus on a monomial ideal in a polynomial ring A=k[x_1,..., x_n] we:

    • give a new proof of a description of the set of tangential derivations T_{A/k}(I) along a monomial ideal I, first proven by Brumatti and Simis.
    • give a new and direct proof to the fact that the integral closure of a monomial ideal is monomial. We also prove that a derivation which is tangential to a monomial ideal will remain tangential to its integral closure.
    • prove that a derivation which is tangential to a monomial ideal is also tangential to any of its associated multiplier ideals.

    Paper II: We consider modules M over a Lie algebroid g_A which are of finite type over A. In particular, we study the Hilbert series of the associated graded module of such a module with respect to an ideal of definition.

    Our main results are:

    • Hilbert's finiteness theorem in invariant theory is shown to hold also for a noetherian graded g_A-algebra S and a noetherian (S, g_A)-graded module which are semisimple over g_A.
    • We define a class of local system g_A-modules and prove that the Hilbert series of such a graded module is rational.  We also define an ideal of definition for a g_A-module M and prove rationality of the Hilbert series of M with respect to such an ideal.
    • We introduce the notion of toral Lie algebroids over a regular noetherian local algebra R and give some properties of modules over such Lie algebroids. In particular, we compute the Hilbert series of submodules of R over a Lie algebroid containig a toral Lie algebroid.
  • 7.
    Tadesse, Yohannes
    Department of Mathematics, Stockholm University, Sweden.
    The module of derivations preserving a monomial ideal2007Licentiate thesis, monograph (Other academic)
  • 8.
    Tadesse, Yohannes
    University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre.
    Using Edge-induced and Vertex-induced Subhypergraph Polynomials2015In: Mathematica Scandinavica, ISSN 0025-5521, E-ISSN 1903-1807, Vol. 117, no 2, p. 161-169Article in journal (Refereed)
    Abstract [en]

    For a hypergraph H, we consider the edge-induced and vertex-induced subhypergraph polynomials and study their relation. We use this relation to prove that both polynomials are reconstructible, and to prove a theorem relating the Hilbert series of the Stanley-Reisner ring of the independent complex of H and the edge-induced subhypergraph polynomial. We also consider reconstruction of some algebraic invariants of H.

  • 9.
    Tadesse, Yohannes
    et al.
    University of Skövde, School of Engineering Science. University of Skövde, Virtual Engineering Research Environment.
    Ding, Jianguo
    Department of Computer Science, Blekinge Institute of Technology, Karlskrona, Sweden.
    Survey on blockchain for smart grid management, control, and operation2022In: Energies, E-ISSN 1996-1073, Vol. 15, no 1, article id 193Article, review/survey (Refereed)
    Abstract [en]

    Power generation, distribution, transmission, and consumption face ongoing challenges such as smart grid management, control, and operation, resulting from high energy demand, the diversity of energy sources, and environmental or regulatory issues. This paper provides a comprehensive overview of blockchain-based solutions for smart grid management, control, and operations. We systematically summarize existing work on the use and implementation of blockchain technology in various smart grid domains. The paper compares related reviews and highlights the challenges in the management, control, and operation for a blockchain-based smart grid as well as future research directions in the five categories: collaboration among stakeholders; data analysis and data manage-ment; control of grid imbalances; decentralization of grid management and operations; and security and privacy. All these aspects have not been covered in previous reviews. 

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