Rook Theory, Generalized Stirling Numbers and $(p,q)$-Analogues [PDF]
The Electronic Journal of Combinatorics, 2004 In this paper, we define two natural $(p,q)$-analogues of the generalized Stirling numbers of the first and second kind $S^1(\alpha,\beta,r)$ and $S^2(\alpha,\beta,r)$ as introduced by Hsu and Shiue [Adv. in Appl. Math. 20 (1998), 366–384]. We show that in the case where $\beta =0$ and $\alpha$ and $r$ are nonnegative integers both of our $(p,q ...
Jeffrey B. Remmel, Michelle L. Wachs
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A Novel Controller Based on Single-Phase Instantaneous p-q Power Theory for a Cascaded PWM Transformer-less STATCOM for Voltage Regulation [PDF]
Journal of Operation and Automation in Power Engineering, 2018 In this paper, dynamic performance of a transformerless cascaded PWM static synchronous shunt compensator (STATCOM) based on a novel control scheme is investigated for bus voltage regulation in a 6.6kV distribution system.
M. Abbasi, B. Tousi
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Effective actions for loop quantum cosmology in fourth-order gravity
European Physical Journal C: Particles and Fields, 2021 Loop quantum cosmology (LQC) is a theory which renders the Big Bang initial singularity into a quantum bounce, by means of short-range repulsive quantum effects at the Planck scale.
Marcello Miranda +3 more
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Experimental Validation of an Advanced Load-Shift System Operating as Shunt Active Power Filter [PDF]
EAI Endorsed Transactions on Energy Web, 2021 This paper presents a load-shift system with advanced functionalities for the power grid. When compared with the conventional approach, an advanced load-shift system allows the compensation of power quality problems on the ...
Ana Rodrigues +5 more
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A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus
Journal of Inequalities and Applications, 2018 Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz, Mehmet Acikgoz
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Power Transformers Differential Protection Using the p-q Power Theory [PDF]
, 2012 This paper describes the application of the p-q power theory to the differential protection of power transformers. The information provided by the harmonic content of the differential active and reactive power components is used to detect winding insulation failures and to distinguish them from magnetizing inrush current transients.
Oliveira, L. M. R. +1 more
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Combining decision procedures for the reals [PDF]
Logical Methods in Computer Science, 2006 We address the general problem of determining the validity of boolean combinations of equalities and inequalities between real-valued expressions.
Jeremy Avigad, Harvey Friedman
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Modelling of 3-Phase p-q Theory-Based Dynamic Load for Real-Time Simulation
IEEE Open Access Journal of Power and Energy, 2023 This article proposes a new method of modelling dynamic loads based on instantaneous p-q theory, to be employed in large powers system network simulations in a digital real-time environment.
Karthik Rajashekaraiah +3 more
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Limit theory and robust evaluation methods for the extremal properties of GARCH(p, q) processes
Statistics and Computing, 2022 AbstractGeneralized autoregressive conditionally heteroskedastic (GARCH) processes are widely used for modelling financial returns, with their extremal properties being of interest for market risk management. For GARCH($$p,q$$p,q) processes with$$\max (p,q) = 1$$max(p,q)=1all extremal features have been fully characterised, but when$$\max (p,q)\ge 2 ...
Fabrizio Laurini +2 more
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Positive solutions for nonlocal problems of nonlinear (p,q)- difference equations
Journal of Hebei University of Science and Technology, 2021 In order to improve the basic theory of boundary value problems for nonlinear quantum difference equations,in this paper,we study the solvability of nonlocal problems for second order three-point nonlinear (p,q)-difference equations.Firstly,the Green ...
Changlong YU +3 more
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