Closed-form mathematical modeling of currents and voltages in a three-phase diode bridge rectifier with a purely resistive load using the Lambert W function and g-function approaches.
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| Title: | Closed-form mathematical modeling of currents and voltages in a three-phase diode bridge rectifier with a purely resistive load using the Lambert W function and g-function approaches. |
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| Authors: | Ćalasan, Martin1 (AUTHOR) martinc@ucg.ac.me |
| Source: | Electrical Engineering. Nov2025, Vol. 107 Issue 11, p14849-14864. 16p. |
| Subjects: | Mathematical functions, Electric current rectifiers, MatLab (Computer software), Electric power systems, Electric resistors, Current-voltage characteristics |
| Abstract: | Three-phase bridge rectifiers are widely used in various electrical applications. For the first time, this paper presents analytical expressions for the currents and voltages of all the components in a three-phase bridge rectifier with a purely resistive load via the Lambert W function. However, applying the Lambert W function is feasible only for a specific input voltage, which determines the function's argument. To overcome these limitations, an alternative approach based on the g-function is introduced, offering a more flexible and accurate model for three-phase rectifiers across a wider range of parameter values. The derived expressions were validated by comparing the numerical results with simulations in MATLAB/SIMSCAPE and by experimental verification with measured data across various input voltages. A comparison of the load current response for different diode models in the bridge rectifier was also carried out, highlighting the importance of using an accurate diode model for testing. The findings demonstrate the efficiency of the proposed model and its potential applications in power systems utilizing diode rectifiers. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | Three-phase bridge rectifiers are widely used in various electrical applications. For the first time, this paper presents analytical expressions for the currents and voltages of all the components in a three-phase bridge rectifier with a purely resistive load via the Lambert W function. However, applying the Lambert W function is feasible only for a specific input voltage, which determines the function's argument. To overcome these limitations, an alternative approach based on the g-function is introduced, offering a more flexible and accurate model for three-phase rectifiers across a wider range of parameter values. The derived expressions were validated by comparing the numerical results with simulations in MATLAB/SIMSCAPE and by experimental verification with measured data across various input voltages. A comparison of the load current response for different diode models in the bridge rectifier was also carried out, highlighting the importance of using an accurate diode model for testing. The findings demonstrate the efficiency of the proposed model and its potential applications in power systems utilizing diode rectifiers. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 09487921 |
| DOI: | 10.1007/s00202-025-03299-x |
