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Design of a Fractional Order Low-pass Filter Using a Diﬀerential Voltage Current Conveyor

Krishna Battula Tirumala, Janarthanan Midhunchakkaravathy

Journal of Telecommunications and Information Technology

2023

nr 2

17--21

In this paper, an active implementation of a diﬀerential voltage current conveyor (DVCC) based on a low-pass ﬁlter operating in the fractional order domain is presented. The transfer function for a fractional order system is dependent on the rational approximation of sα. Diﬀerent methods used for calculating the rational approximation, including Carlson, Elkhazalil, and curve ﬁtting, are evaluated here. Finally, to validate the theoretical results, a fractional order Butterworth ﬁlter is simulated in the Pspice environment using the 0.5 micrometer CMOS technology with an R-C network-based fractional order capacitor. Additionally, using the Monte Carlo analysis, the impact of current and voltage faults on DVCC response is investigated. It has been inferred that realization with a wider bandwidth is possible.

Thermal-electrical analogy in dynamic simulations of buildings: comparison of four numerical solution methods

Michalak Piotr

Journal of Mechanical and Energy Engineering

2020

Vol. 4, No 2

179--188

The lumped capacitance method is widely used in dynamic modelling of buildings. Models differ in complexity, solution methods and ability to simulate transient behaviour of described objects. The paper presents a mathematical description of a simple 1R1C thermal network model of a building zone. Four numerical methods were applied to solve differential equation describing its dynamics. For validation purposes two test cases (600 and 900) from the BESTEST procedure were used. In both cases detailed results were given. Better ability of the simulation model to reproduce transient behaviour of the modelled buildings was noticed in case of the lightweight object (case 600). Annual heating and cooling demand was within the reference range for heavyweight one (case 900). The kind of the computation method had no significant effect on simulation results.