The present invention relates to a simulating circuit and a simulating method, and particularly to a transformer simulating circuit and a simulating method of a transformer.
A physical transformer may be represented as a transformer simulating circuit that expresses electrical parameters of the physical transformer. With reference to
The primary side of the conventional transformer simulating circuit may include a primary winding Wp, a primary winding resistor Rp, a primary leakage inductor Lpl, a primary core-loss resistor Rc, a primary intra-winding capacitor Cp, and a magnetizing inductor Lp.
The primary winding Wp, the primary core-loss resistor Rc, the primary intra-winding capacitor Cp, and the magnetizing inductor Lp are electronically connected in parallel. The primary winding resistor Rp and the primary leakage inductor Lpl are electronically connected in series. The primary winding Wp comprises a first terminal and a second terminal. The primary leakage inductor Lpl is electronically connected between the first terminal of the primary winding Wp and the primary winding resistor Rp.
The secondary side of the conventional transformer simulating circuit may include a secondary winding Ws, a secondary winding resistor Rs, a secondary leakage inductor Lsl, and a secondary intra-winding capacitor Cs. The secondary winding Ws and the secondary intra-winding capacitor Cs are electronically connected in parallel. The secondary leakage inductor Lsl and the secondary winding resistor Rs are electronically connected in series. The secondary winding Ws comprises a first terminal and a second terminal. The secondary leakage inductor Lsl is electronically connected between the first terminal of the secondary winding Ws and the secondary winding resistor.
The conventional transformer simulating circuit may further comprise a first coupling capacitor Cps1 and a second coupling capacitor Cps2. The first coupling capacitor Cps1 is electronically connected between the first terminal of the primary winding Wp and the first terminal of the secondary winding Ws. The second coupling capacitor Cps2 is electronically connected between the second terminal of the primary winding Wp and the second terminal of the secondary winding Ws.
The primary winding resistor Rp and the secondary winding resistor Rs respectively represent equivalent winding resistors of the primary winding Wp and the secondary winding Ws.
The core-loss resistor Rc represents an equivalent resistor of a result of a build-up and tear-down of magnetic field within a core of the transformer.
The primary intra-winding capacitor Cp and the secondary intra-winding capacitor Cs respectively represent equivalent capacitors within the primary winding Wp and the secondary winding Ws due to layered construction of the primary winding Wp and the secondary winding Ws.
The magnetizing inductor Lp is responsible for a creation of magnetic field. The first coupling capacitor Cps1 and the second coupling capacitor Cps2 represent the equivalent capacitive coupling between the primary winding Wp and the secondary winding Ws.
However, an error related to a location of a representation of the primary leakage inductor Lpl and the secondary leakage inductor Lsl may occur to the conventional transformer simulating circuit.
With reference to
A first self-resonance point f1s, such as a pole point, of the measured frequency response and a first self-resonance point f1s′ of the simulated frequency response are similar, but a second self-resonance point f2s , such as a zero point, of the measured frequency response and a second self-resonance point f2s′ of the simulated frequency response are different.
Difference between the second self-resonance points of the measured frequency response and the simulated frequency response is due to the fact that the conventional transformer simulating circuit has the secondary intra-winding capacitor Cs. The secondary intra-winding capacitor Cs is basically in parallel to the primary intra-winding capacitor Cp, therewith increasing the capacitor such that the second self-resonance points shifts a lower frequency.
With reference to
A first self-resonance point f3s, such as a pole point, of the measured frequency response and a first self-resonance point f3s′ of the simulated frequency response are different, and a second self-resonance point (not shown), such as a zero point, of the measured frequency response and the second self-resonance point fs′ of the simulated frequency response are different.
The conventional transformer simulating circuit models the primary leakage inductor Lpl in series with the magnetizing inductor Lp, therewith increasing the inductor such that the second self-resonance points shift a lower frequency.
Since the error (or mismatch) related to the location of a representation of the primary leakage inductor Lpl and the secondary leakage inductor Ls1 may occur, the conventional transformer simulating circuit needs to be improved.
An objective of the present invention is to provide a transformer simulating circuit and a simulating method of a transformer.
The transformer simulating circuit comprises a primary side and a secondary side.
The primary side includes a primary winding, a primary winding resistor, a primary core-loss resistor, a primary intra-winding capacitor, a magnetizing inductor, and a primary leakage inductor module.
The primary core-loss resistor, the primary intra-winding capacitor, and the magnetizing inductor are electronically connected in parallel.
The primary leakage inductor module comprises a first end, a second end, a third end, and a fourth end. The first end and the second end of the primary leakage inductor module are respectively electronically connected to two ends of the primary intra-winding capacitor. The first end of the primary leakage inductor module is electronically connected to an end of the primary winding resistor.
The primary winding comprises a first terminal and a second terminal. The third end and the fourth end of the primary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the primary winding Wp.
The secondary side includes a secondary winding, a secondary winding resistor, a secondary intra-winding capacitor, and a secondary leakage inductor module.
The secondary winding is coupled with the primary winding, and comprises a first terminal and a second terminal.
The secondary leakage inductor module comprises a first end, a second end, a third end, and a fourth end. The first end and the second end of the secondary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the secondary winding Ws.
The secondary intra-winding capacitor Cs is electronically connected between the third end and the fourth end of the secondary leakage inductor module. The third end of the secondary leakage inductor module is further electronically connected to an end of the secondary winding resistor Rs.
The transformer simulating circuit further comprises a first coupling capacitor and a second coupling capacitor.
The first coupling capacitor is electronically connected between the first end of the primary leakage inductor module and the third end of the secondary leakage inductor module. The second coupling capacitor is electronically connected between the second end of the primary leakage inductor module and the fourth end of the secondary leakage inductor module.
Further the simulating method of the transformer comprises steps of:
providing a primary winding; wherein the primary winding comprises a first terminal and a second terminal;
providing a primary core-loss resistor;
providing a primary intra-winding capacitor;
providing a magnetizing inductor; wherein the magnetizing inductor is electronically connected to the primary core-loss resistor and the primary intra-winding capacitor in parallel;
providing a primary leakage inductor module; wherein the primary leakage inductor module comprises a first end, a second end, a third end, and a fourth end, the first end and the second end of the primary leakage inductor module are respectively electronically connected to two ends of the primary intra-winding capacitor, and the third end and the fourth end of the primary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the primary winding;
providing a primary winding resistor; wherein the primary winding resistor comprises an end electronically connected to the first end of the primary leakage inductor module;
providing a secondary winding resistor;
providing a secondary leakage inductor module; wherein the secondary leakage inductor module comprises a first end, a second end, a third end, and a fourth end, and the third end of the secondary leakage inductor module is electronically connected to an end of the secondary winding resistor;
providing a secondary winding; wherein the second winding is coupled with the primary winding, and comprises a first terminal and a second terminal; wherein the first terminal and the second terminal of the secondary winding are respectively electronically connected to the first end and the second end of the secondary leakage inductor;
providing a secondary intra-winding capacitor; wherein the secondary intra-winding capacitor is electronically connected between the third end and the fourth end of the secondary leakage inductor module;
providing a first coupling capacitor; wherein the first coupling capacitor is electronically connected between the first end of the primary leakage inductor module and the third end of the secondary leakage inductor module; and
providing a second coupling capacitor; wherein the second coupling capacitor is electronically connected between the second end of the primary leakage inductor module and the fourth end of the secondary leakage inductor module;
forming a transformer simulating circuit; and
implementing the transformer simulating circuit to simulate the transformer.
The primary leakage inductor module and the secondary leakage inductor module are represented as inductor parts that do not couple between the primary winding and the secondary winding, and leak magnetic flux. The leaked magnetic flux is the difference in magnetic flux between magnetic flux generated by the primary winding and magnetic flux that is responsible for the magnetic field experienced by the secondary winding.
The magnetic flux generated by the primary winding may not change, no matter how the secondary winding is coupled to the primary winding. When the secondary winding opposes the magnetic flux more, the leaked magnetic flux may increase, therewith reducing the magnetic flux that couples both primary winding and the secondary winding.
Therefore, a conventional transformer simulating circuit is redesigned, and a simulated frequency response of a primary impedance of the transformer simulating circuit may be closer to a measured frequency response of a primary impedance of a real transformer.
Other objectives, advantages and novel features of the invention will become more apparent from the following detailed description when taken in conjunction with the accompanying drawings.
The simulating method and the transformer simulating circuit of the present invention are performed in simulating software, such as the Pspice or the Hspcice, of a computer. With reference to
The transformer simulating circuit comprises a primary side and a secondary side.
The primary side includes a primary winding Wp, a primary winding resistor Rp, a primary core-loss resistor Re, a primary intra-winding capacitor Cp, a magnetizing inductor Lp, and a primary leakage inductor module.
The primary core-loss resistor Rc, the primary intra-winding capacitor Cp, and the magnetizing inductor Lp are electronically connected in parallel.
The primary leakage inductor module comprises a first end, a second end, a third end, and a fourth end. The first end and the second end of the primary leakage inductor module are respectively electronically connected to two ends of the primary intra-winding capacitor Cp. The first end of the primary leakage inductor module is electronically connected to an end of the primary winding resistor Rp.
The primary winding Wp comprises a first terminal and a second terminal. The third end and the fourth end of the primary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the primary winding Wp.
The secondary side includes a secondary winding Ws, a secondary winding resistor Rs, a secondary intra-winding capacitor Cs, and a secondary leakage inductor module.
The secondary winding Ws is coupled with the primary winding Wp, and comprises a first terminal and a second terminal.
The secondary leakage inductor module comprises a first end, a second end, a third end, and a fourth end. The first end and the second end of the secondary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the secondary winding Ws.
The secondary intra-winding capacitor Cs is electronically connected between the third end and the fourth end of the secondary leakage inductor module. The third end of the secondary leakage inductor module is further electronically connected to an end of the secondary winding resistor Rs.
The transformer simulating circuit further comprises a first coupling capacitor Cps1 and a second coupling capacitor Cps2.
The first coupling capacitor Cps1 is electronically connected between the first end of the primary leakage inductor module and the third end of the secondary leakage inductor module. The second coupling capacitor Cps2 is electronically connected between the second end of the primary leakage inductor module and the fourth end of the secondary leakage inductor module.
The primary leakage inductor module and the secondary leakage inductor module are represented as inductor parts that do not couple between the primary winding Wp and the secondary winding Ws, and leak magnetic flux.
The leaked magnetic flux is the difference in magnetic flux between magnetic flux generated by the primary winding Wp and magnetic flux that is responsible for the magnetic field experienced by the secondary winding Ws.
The magnetic flux generated by the primary winding Wp may not change, no matter how the secondary winding Ws is coupled to the primary winding Wp. When the secondary winding Ws opposes the magnetic flux more, the leaked magnetic flux may increase, therewith reducing the magnetic flux that couples both primary winding and the secondary winding.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module. The first end and the third end of the primary leakage inductor module are electronically connected together.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module. The first end and the third end of the secondary leakage inductor module are electronically connected together.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second end and the fourth end of the secondary leakage inductor module are electronically connected together.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first end and the third end of the secondary leakage inductor module are electronically connected together. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second end and the fourth end of the primary leakage inductor module are electronically connected together.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first end and the third end of the primary leakage inductor module are electronically connected together. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
With reference to
The first primary leakage inductor Lpl1 is electronically connected between the first end and the third end of the primary leakage inductor module. The second primary leakage inductor Lpl2 is electronically connected between the second end and the fourth end of the primary leakage inductor module.
The first secondary leakage inductor Lsl1 is electronically connected between the first end and the third end of the secondary leakage inductor module. The second secondary leakage inductor Lsl2 is electronically connected between the second end and the fourth end of the secondary leakage inductor module.
Take the third embodiment shown in
With reference to
A first self-resonance point f1s, such as a pole point, of the measured frequency response and a first self-resonance point f1s″ of the simulated frequency response are similar, and a second self-resonance point f2s, such as a zero point, of the measured frequency response and a second self-resonance point f2s″ of the simulated frequency response are also similar.
With reference to
A first self-resonance point f3s, such as a pole point, of the measured frequency response and a first self-resonance point f3s″ of the simulated frequency response are similar.
Further, with reference to
providing a primary winding (S401); wherein the primary winding comprises a first terminal and a second terminal;
providing a primary core-loss resistor (S402);
providing a primary intra-winding capacitor (S403);
providing a magnetizing inductor (S404); wherein the magnetizing inductor is electronically connected to the primary core-loss resistor and the primary intra-winding capacitor in parallel;
providing a primary leakage inductor module (S405); wherein the primary leakage inductor module comprises a first end, a second end, a third end, and a fourth end, the first end and the second end of the primary leakage inductor module are respectively electronically connected to two ends of the primary intra-winding capacitor, and the third end and the fourth end of the primary leakage inductor module are respectively electronically connected to the first terminal and the second terminal of the primary winding;
providing a primary winding resistor (S406); wherein the primary winding resistor comprises an end electronically connected to the first end of the primary leakage inductor module;
providing a secondary winding resistor (S407);
providing a secondary leakage inductor module (S408); wherein the secondary leakage inductor module comprises a first end, a second end, a third end, and a fourth end, and the third end of the secondary leakage inductor module is electronically connected to an end of the secondary winding resistor;
providing a secondary winding (S409); wherein the secondary winding is coupled with the primary winding, and comprises a first terminal and a second terminal; wherein the first terminal and the second terminal of the secondary winding are respectively electronically connected to the first end and the second end of the secondary leakage inductor;
providing a secondary intra-winding capacitor (S410); wherein the secondary intra-winding capacitor is electronically connected between the third end and the fourth end of the secondary leakage inductor module;
providing a first coupling capacitor (S411); wherein the first coupling capacitor is electronically connected between the first end of the primary leakage inductor module and the third end of the secondary leakage inductor module; and
providing a second coupling capacitor (S412); wherein the second coupling capacitor is electronically connected between the second end of the primary leakage inductor module and the fourth end of the secondary leakage inductor module;
forming a transformer simulating circuit (S413); and
implementing the transformer simulating circuit to simulate the transformer (S414).
Therefore, a conventional transformer simulating circuit is redesigned, and a simulated frequency response of a primary impedance of the transformer simulating circuit may be closer to a measured frequency response of a primary impedance of a transformer.
The primary leakage inductor module and the secondary leakage inductor module are illustrated with the first embodiment to the fifteenth embodiment of the transformer simulating circuit described above in
Due to the primary leakage inductor module and the secondary leakage inductor module in different embodiments of the transformer simulating circuit, all transfer calculations, especially those where the primary leakage inductor module and the secondary leakage inductor module are part of the transfer function, need to be re-evaluated and probably changed. This therefore has a reasonable impact on resonant converters and how the primary leakage inductor module and the secondary leakage inductor module are implemented is part of the energy transfer.
Even though numerous characteristics and advantages of the present invention have been set forth in the foregoing description, together with details of the structure and function of the invention, the disclosure is illustrative only. Changes may be made in detail, especially in matters of shape, size, and arrangement of parts within the principles of the invention to the full extent indicated by the broad general meaning of the terms in which the appended claims are expressed.