Second order bandstop and bandpass filters using transformers

The optimization of passive filters in industrial systems has been presented by different computational methods. The objective of this paper is to develop a computational algorithm with NSGA II to select the configuration and design parameters of a set of passive filters for industrial installations. As a methodology, the optimization problem was addressed using three independent objective functions of innovative character for compensation of harmonics through passive filters as a multiobjective problem. The results were the computational solution to this problem that determines a set of Pareto optimal solutions (Frontier). In addition, the computational tool has several new features such as: calculates the parameters that characterize the filters, but also selects the type of configuration and the number of branches of the filter in each candidate bar according to a set of pre-established configurations according to PRODIST-M8 (Brazilian Standard) and IEEE 519-2014. Also determine solutions with good power quality indicators (THD, TDD and NPV) for several characteristic and non-characteristic scenarios of the system that allow to represent: daily variations of the load, and variations of system parameters and filters. It evaluates the cost of energy bills in an industrial power grid that has different operating conditions (characteristic scenarios) and evaluates the economic effect of harmonic filters as reactive power compensators.

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“…3: Filter of second order: a) Topology, b) Impedance versus frequency. Source: Adapted from (Maundy & Elwakil, 2015).…”

Section: C) Second Order Filtermentioning

confidence: 99%

Approach of Passive Filters using NSGA II in industrial installations: Part I

Leite¹,

Júnior²,

Freitas³

et al. 2018

IJAERS

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“…The reason is that the symbolic transfer functions reported by the search algorithm can always be written in terms of four variables only representing the two‐port network 2 × 2 matrix model independent of the actual complexity of the transistor equivalent circuit. Using a similar two‐port network approach, all possible filters that can be designed with a single transformer were found and validated in . Such filters benefit from the recent advances in realizing on chip transformers .…”

Section: Introductionmentioning

confidence: 99%

Minimal two‐transistor multifunction filter design

Maundy

Elwakil

Özoğuz

et al. 2017

Circuit Theory & Apps

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Summary This paper presents a comprehensive method and analysis on the design of two‐transistor multi‐output filters where three possible functions are simultaneously available. Although two transistors are employed at its core, proper biasing does not require additional passive components. A total of thirteen valid second‐order filters are reported, and several of them are experimentally tested using discrete transistors as well as simulated using Spectre in a BiCMOS process. A fully differential realization of a MOS‐C band‐pass filter, based on one of the structures found, is designed and then used to realize a fourth‐order Chebyshev band‐pass filter. Copyright © 2017 John Wiley & Sons, Ltd.

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