Representation of magnetisation curves by exponential series

Subrahmanyam, V.; Macfadyen, W.K.; Simpson, R.R.S.; Slater, R.D.; Wood, W.S.

doi:10.1049/piee.1974.0162

Cited by 3 publications

(5 citation statements)

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“…The aim of this section is to develop, for the SAPF, a control-oriented model that accounts for the saturation feature in coil magnetic cores. Many earlier works have investigated the magnetic saturation feature, especially those focusing on modeling the magnetic flux saturation in electric machines [12,13]. It has generally been captured through B-H characteristics or through flux-current characteristics: see for example [14,15].…”

Section: Three-phases Sapf Modelingmentioning

confidence: 99%

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Magnetic Saturation Impact on Three-Phase Shunt Active Power Filters

Chihab¹,

Ouadi²

2024

RE&PQJ

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The problem of controlling three-phase shunt active power filters (SAPF) is addressed in presence of nonlinear loads. Previous works generally design control for SAPF based on standard models that assume the involved magnetic coil to be linear. In reality, the magnetic characteristics of these components are nonlinear (especially in the presence of large magnetic flux density in the ferromagnetic core). In this paper, a new oriented control model for SAPF-load system, taking into account for the nonlinearity of coil characteristics, is developed. The control objective is twofold: (i) compensating for the current harmonics and the reactive power absorbed by the nonlinear load; (ii) regulating the inverter DC capacitor voltage. To this end, based on the new model, a nonlinear controller is developed, using the backstepping technical design. It is therefore able to ensure good performances over a wide range of variation of the load current. The performances of the proposed adaptive controller are formally analyzed using tools from the Lyapunov stability and the averaging theory. The performances of the proposed controller is illustrated through simulation

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Section: Three-phases Sapf Modelingmentioning

confidence: 99%

“…The equations (11)(12) are useful for building up an accurate simulator of the SAPF. However, it cannot be based upon in the control design as it involves a binary control input, namely ( , ).…”

Section: Three-phases Sapf Modelingmentioning

confidence: 99%

Magnetic Saturation Impact on Three-Phase Shunt Active Power Filters

Chihab¹,

Ouadi²

2024

RE&PQJ

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“…The aim of this section is to develop, for the series APF, a state model that accounts for the saturation feature in magnetic coil cores. Many earlier works investigated the magnetic saturation feature, especially those focusing on modeling the magnetic flux saturation in electric machines (Subrahmanyam et al 1974;Leonhard 1996). It has generally been captured through B-H characteristics or through flux-current characteristics (Ouadi et al 2010).…”

Section: Modeling Of Three-phase Series Apfmentioning

confidence: 99%

Adaptive Nonlinear Control of Three-Phase Series Active Power Filters with Magnetic Saturation

Ouadi

Aitchihab

Giri

2020

J Control Autom Electr Syst

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The problem of controlling three-phase series active power filters (series APF) is addressed in the presence of nonlinear loads. In previous works, the control design for series APF is generally based on standard models that assume the involved magnetic coil to be linear. In reality, the magnetic characteristics of these components are nonlinear. In this paper, a new model for series APF load system, taking into account for the nonlinearity of coil characteristics, is developed. Based on the new model, a nonlinear adaptive controller is developed, using the backstepping design. The control objectives is twofold: (i) compensating for the harmonic and disturbed voltages components at the point of common coupling, this objective is referred to network voltage quality; and (ii) regulating the inverter DC capacitor voltage. Moreover, the controller is made adaptive for compensating the uncertainty on the switching loss power. The performances of the proposed adaptive controller are formally analyzed using tools from the Lyapunov stability and average theory. The supremacy of the proposed controller with respect to standard control solution is illustrated through simulation. Keywords Adaptive control • Active power filters • Magnetic saturation • Voltage quality • Lyapunov stability • Average model 1 Introduction Several industrial and residential applications (such as switching power supplies, motor drivers and medical equipment, among others) are very sensitive to voltage network fluctuations. Indeed, the presence of these disturbances leads to problems of synchronization with line voltage, responsible for systems malfunctions. Moreover, the nonlinear load contributes strongly to generating disturbing voltage components. In fact, the circulation of current harmonics components through the line conductors generates additional voltage distortions at the point of common coupling (PCC). These voltage distortions are manifested by flickers, dips, interruptions and voltage harmonics, which are harmful for B A.

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“…In the literature, different empirical equations have been reported to represent the magnetization characteristics [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Carter [4] has first proposed conformal mapping to obtain the solution of Laplace's equation for determining flux distribution with simple assumptions such as infinite permeability of iron.…”

Section: Introductionmentioning

confidence: 99%

“…Sherbiny [12] has proposed the representation of magnetization characteristics by a sum of exponentials. Subrahmanyam et al [13] have reported some analytical expressions used for magnetization curves. Teape et al [14] have proposed single-valued nonlinear curves which have been represented by an exponential series and the coefficients are determined by an iterative procedure.…”

Section: Introductionmentioning

confidence: 99%

A comparative study on approaches to curve fitting of magnetization characteristics for induction generators

Vuddanti

Murthy

Singh

2012

2012 IEEE International Conference on Power Electronics, Drives and Energy Systems (PEDES)

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The curve fitting of magnetizing characteristics of self excited induction generators (SEIG) resulting airgap voltage (V g ) with magnetising current (I m ) is crucial for performance analysis of such machines using design tools. The magnetisation characteristic may be obtained using the B -H curve of the core material. An appropriate curve fitting technique/regression analysis is employed to represent V g -I m curve from which V g -X m curve can be derived. There is wide literature on approximation of magnetization curves of variety of materials. Accurate analysis of a magnetization curve, or the B -H characteristic, has always posed problems for electrical engineers dealing with machine design. The problem has been to find a single function to represent the wide range from the origin to saturation with a minimum error over the whole range. Moreover, such a function should be mathematically simple for easy application. In this paper, different techniques are critically compared to guide the designers on a right approach with special reference to SEIG.

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Representation of magnetisation curves by exponential series

Cited by 3 publications

References 1 publication

Magnetic Saturation Impact on Three-Phase Shunt Active Power Filters

Magnetic Saturation Impact on Three-Phase Shunt Active Power Filters

Adaptive Nonlinear Control of Three-Phase Series Active Power Filters with Magnetic Saturation

A comparative study on approaches to curve fitting of magnetization characteristics for induction generators

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