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US-12627223-B2 - Control method for resonant conversion circuit

US12627223B2US 12627223 B2US12627223 B2US 12627223B2US-12627223-B2

Abstract

A control circuit for a resonant conversion circuit is provided. The resonant conversion circuit includes a switching circuit, a resonant network and a rectifier circuit. Firstly, a starting point of an operating trajectory with a plurality of trajectory segments is determined according to a sampling data sampled at a first switching time point. Then, the starting point of each trajectory segment is determined. The operating mode is determined according to the starting point of the corresponding trajectory segment, and a curve and an end point of the trajectory segment are predicted according to the operating mode. Then, the duration time of each trajectory segment is calculated. The end point of the operating trajectory is determined according to a control instruction. According to the execution time between the starting point and the end point of the operating trajectory, a next switching time point is controlled.

Inventors

  • Wen Zhang
  • Hong Liu
  • Baihui SONG

Assignees

  • DELTA ELECTRONICS (SHANGHAI) CO., LTD.

Dates

Publication Date
20260512
Application Date
20240322
Priority Date
20230329

Claims (20)

  1. 1 . A control method for a resonant conversion circuit, wherein the resonant conversion circuit comprises a switching circuit, a resonant network and a rectifier circuit, the switching circuit, the resonant network and the rectifier circuit are connected successively, the resonant network comprises a resonant capacitor and a resonant inductor, the control method comprising steps of: (S 0 ) determining a starting point of an operating trajectory according to a sampling data at a first switching time point, wherein the operating trajectory comprises a first trajectory segment of N trajectory segments, and N is a positive integer; (S 1 ) determining an initial operating mode of the resonant conversion circuit according to a starting point of the first trajectory segment of the N trajectory segments, wherein the starting point of the first trajectory segment is the starting point of the operating trajectory; (S 2 ) setting the first trajectory segment as a current trajectory segment, and setting the initial operating mode as a current operating mode; (S 3 ) predicting a curve of the current trajectory segment and an end point of the current trajectory segment according to the current operating mode; (S 4 ) calculating a time duration of the current trajectory segment; (S 5 ) determining whether the end point of the current trajectory segment is an instruction point complying with a control instruction, wherein if a determining condition of the step (S 5 ) is not satisfied, a step (S 6 ) is performed, wherein if the determining condition of the step (S 5 ) is satisfied, a step (S 10 ) is performed; (S 6 ) setting the end point of the current trajectory segment as a starting point of a next trajectory segment; (S 7 ) determining a next operating mode of the resonant conversion circuit according to the starting point of the next trajectory segment; (S 8 ) setting the next trajectory segment as the current trajectory segment, and setting the next operating mode as the current operating mode; (S 9 ) performing the step (S 3 ) again; (S 10 ) setting the instruction point as an end point of the operating trajectory, and calculating an execution time from the starting point of the operating trajectory to the end point of the operating trajectory; and (S 11 ) determining a second switching time point according to the execution time.
  2. 2 . The control method according to claim 1 , wherein the sampling data includes a state information of the resonant network corresponding to the first switching time point, an input voltage of the switching circuit, an output voltage of the rectifier circuit and a resonant parameter of the resonant network, wherein the state information includes a resonant inductor current and a resonant capacitor voltage, and the resonant parameter includes a inductance value of the resonant inductor and a capacitance of the resonant capacitor.
  3. 3 . The control method according to claim 2 , wherein the resonant conversion circuit is a LLC resonant conversion circuit, the LLC resonant conversion circuit further comprises a transformer, and the transformer comprises a primary winding and a secondary winding, wherein the primary winding is electrically connected with the resonant network, the secondary winding is electrically connected with the rectifier circuit, and the sampling data further includes a secondary current of the LLC resonant conversion circuit.
  4. 4 . The control method according to claim 3 , wherein a type of the initial operating mode or the current operating mode includes a first operating mode, or a second operating mode or a third operating mode, wherein the first operating mode is an N mode, the second operating mode is an O mode, and the third operating mode is a P mode.
  5. 5 . The control method according to claim 4 , wherein in the step (S 1 ), the type of the initial operating mode is determined according to the secondary current, wherein when the secondary current is lower than zero, the initial operating mode of the LLC resonant conversion circuit is the first mode, wherein when the secondary current is equal to zero, the initial operating mode of LLC resonant conversion circuit is the second mode, wherein when the secondary current is greater than zero, the initial operating mode of the LLC resonant conversion circuit is the third mode.
  6. 6 . The control method according to claim 5 , wherein when the current operating mode of the LLC resonant conversion circuit is the second mode, the step (S 3 ) further comprises steps of: (a1) calculating a trajectory radius of the current trajectory segment corresponding to the second operating mode; (a2) determining whether the resonant inductor current is lower than zero; (a3) when the resonant inductor current is lower than zero, determining whether the current trajectory segment has a first critical condition point complying with a first critical condition; and (a4) when the current trajectory segment has the first critical condition point, setting the first critical condition point as the end point of the current trajectory segment.
  7. 7 . The control method according to claim 6 , wherein the step (S 7 ) further comprises steps of: when the first critical condition point is the starting point of the next trajectory segment, the next operating mode is the third operating mode.
  8. 8 . The control method according to claim 6 , wherein the step (S 3 ) further comprises steps of: (b1) when the resonant inductor current is lower than zero and the current trajectory segment does not have the first critical condition point, performing a step (b3); (b2) when the resonant inductor current is greater than or equal to zero, performing the step (b3); (b3) determining whether the current trajectory segment has the instruction point complying with the control instruction; and (b4) when the current trajectory segment has the instruction point complying with the control instruction, setting the instruction point as the end point of the current trajectory segment.
  9. 9 . The control method according to claim 8 , wherein the step (S 3 ) further comprises steps of: (c1) when the current trajectory segment does not have the instruction point complying with the control instruction, determining whether the current trajectory segment has a second critical condition point complying with a second critical condition; (c2) when the current trajectory segment has the second critical condition point, setting the second critical condition point as the end point of the current trajectory segment; and (c3) when the current trajectory segment does not have the second critical condition point, modifying the control instruction such that the current trajectory segment has the instruction point complying with the modified control instruction, and setting the instruction point corresponding to the modified control instruction as the end point of the current trajectory segment.
  10. 10 . The control method according to claim 9 , wherein in the step (S 7 ), when the second critical condition point is the starting point of the next trajectory segment, the next operating mode is the first operating mode.
  11. 11 . The control method according to claim 6 , wherein in the step (a1), the trajectory radius of the current trajectory segment corresponding to the current trajectory segment is calculated according to following mathematic formulae: R ON = ( V crON - V inN ) 2 + ( m ⁢ i LrON ) 2 m = L m + L r L r wherein R ON is per-unit value of the trajectory radius of the current trajectory segment corresponding to the second mode, V crON is a per-unit value of the resonant capacitor voltage at the starting point of the current trajectory segment, V inN is a per-unit value of the input voltage of the switching circuit, i LrON is a per-unit value of the resonant inductor current at the starting point of the current trajectory segment, L m is an inductance value of a magnetizing inductor of the transformer, and L r is an inductance value of the resonant inductor.
  12. 12 . The control method according to claim 6 , wherein in the step (a4), when the current trajectory segment has the first critical condition point, following mathematic formulae are obtained: V crN = V crLmtN ⁢ _ ⁢ P V crLmtN ⁢ _ ⁢ P = - V inN + V ON * L m + L r L m wherein V crN is a per-unit value of the resonant capacitor voltage, V inN is a per-unit value of the input voltage of the switching circuit, V ON is a per-unit value of an output voltage of the rectifier circuit, L m is an inductance value of a magnetizing inductor of the transformer, and L r is an inductance value of the resonant inductor.
  13. 13 . The control method according to claim 8 , wherein in the step (b4), when the current trajectory segment has the instruction point, following mathematic formulae are obtained: ❘ "\[LeftBracketingBar]" R ON + V inN ❘ "\[RightBracketingBar]" > V crLmtN ⁢ _ ⁢ N V crLmtN ⁢ _ ⁢ N = V inN + V ON * L m + L r L m R ON = ( V crON - V inN ) 2 + ( m ⁢ i LrON ) 2 m = L m + L r L r wherein R ON is a per-unit value of the trajectory radius of the current trajectory segment corresponding to the second mode, V inN a per-unit value of the input voltage of the switching circuit, V ON is a per-unit value of the output voltage of the rectifier circuit, V crON is a per-unit value of the resonant capacitor voltage at the starting point of the current trajectory segment, L m is an inductance value of a magnetizing inductance of the transformer, and L r is an inductance value of the resonant inductor.
  14. 14 . The control method according to claim 9 , wherein in the step (c2), when the current trajectory segment has the second critical condition point, following mathematic formulae are obtained: V crN = V crLmtN ⁢ _ ⁢ N V crLmtN ⁢ _ ⁢ N = V inN + V ON * L m + L r L m wherein V crN is a per-unit value of the resonant capacitor voltage, V inN is a per-unit value of the input voltage of the switching circuit, V ON is a per-unit value of the output voltage of the rectifier circuit, L m is an inductance value of a magnetizing inductance of the transformer, and L r is an inductance value of the resonant inductor.
  15. 15 . The control method according to claim 9 , wherein in the step (c3), when the current trajectory segment has the instruction point complying with the modified control instruction, a following mathematic formula is obtained: i LrN =i LrRefN wherein i LrN is a per-unit value of the resonant inductor current, and i LrRefN is a per-unit value of a reference current of the resonant inductor.
  16. 16 . The control method according to claim 5 , wherein when the current operating mode of the LLC resonant conversion circuit is the third mode, the step (S 3 ) further comprises steps of: (d1) calculating a trajectory radius of the current trajectory segment corresponding to the third operating mode; (d2) determining whether the current trajectory segment has the instruction point complying with the control instruction; (d3) when the current trajectory segment has the instruction point, setting the instruction point as the end point of the current trajectory segment; and (d4) when the current trajectory segment does not have the instruction point, confirming that the trajectory segment has a third critical condition point complying with a third critical condition, and setting the third critical condition point set as the end point of the current trajectory segment.
  17. 17 . The control method according to claim 16 , wherein in the step (S 7 ), when the third critical condition point is the starting point of the next trajectory segment, the next operating mode is the second operating mode.
  18. 18 . The control method according to claim 16 , wherein in the step (d1), the trajectory radius corresponding to the third mode is calculated according to a following mathematic formula: R PN = ( V crON - ( V inN - V ON ) ) 2 + ( i LrON ) 2 wherein R PN is a per-unit value of the trajectory radius of the current trajectory segment corresponding to the third mode, V crON is a per-unit value of the resonant capacitor voltage at the starting point of the current trajectory segment, V inN is a per-unit value of the input voltage of the switching circuit, V ON is a per-unit value of the output voltage of the rectifier circuit, and i LrON is a per-unit value of the resonant inductor current at the starting point of the current trajectory segment.
  19. 19 . The control method according to claim 16 , wherein in the step (d3), when the current trajectory segment has the instruction point, a following mathematic formula is obtained: R PN + ( V inN - V ON ) > V crRrefN R PN = ( V crON - ( V inN - V ON ) ) 2 + ( i LrON ) 2 wherein R PN is a Per-Unit Value of the Trajectory Radius of the Current trajectory segment corresponding to the third mode, wherein V inN is a per-unit value of the input voltage of the switching circuit, V ON is a per-unit value of the output voltage of the rectifier circuit, V crRrefN is a per-unit value of an instruction voltage of the resonant capacitor, and i LrON is a per-unit value of the resonant inductor current at the starting point of the current trajectory segment.
  20. 20 . The control method according to claim 16 , wherein in the step (d4), when the end point of the current trajectory segment is the third critical condition point, following mathematic formulae are obtained: i soN =0 or i LrN =i LmN wherein i soN is a per-unit value of the secondary current flowing through the secondary winding, i LrN is a per-unit value of the resonant inductor current flowing through the resonant inductor Lr, and i LmN is a per-unit value of a magnetizing inductor current flowing through the transformer.

Description

CROSS-REFERENCE TO RELATED APPLICATION This application claims priority to China Patent Application No. 202310325778.9, filed on Mar. 29, 2023, the entire contents of which are incorporated herein by reference for all purposes. FIELD The present disclosure relates to a control method for a resonant conversion circuit, and more particularly to a control method for a resonant conversion circuit to achieve good dynamic response. BACKGROUND An isolated DC/DC converter includes an LLC resonant conversion circuit. The LLC resonant conversion circuit has the advantages of high efficiency and small size. Consequently, the LLC resonant conversion circuit is widely used in various power supplies. With the diversification of applications, it is necessary to widen the operation range of the output voltage of the LLC resonant conversion circuit. For example, in case that the load is a battery, the changes of the voltage and the power of the battery in the charging/discharging process are large. Consequently, the output voltage with a wide range is required. In case that the load is a data center and the power source includes a single-phase two-stage power supply structure, the output voltage with a wide range is also required. Generally, in the single-phase two-stage power supply structure, the front stage is a PFC circuit, and the rear stage is an LLC resonant conversion circuit. Since the power frequency fluctuation of the input voltage of the LLC resonant conversion circuit is doubled, the output voltage of the LLC resonant conversion circuit with a wide range is required. In the conventional LLC resonant conversion circuit, a closed-loop feedback mechanism of the output voltage is used to directly control the frequency to obtain a wider range of the output voltage. However, since the relationship between the output voltage and the frequency is not linear, the transfer function is varied under different operating conditions. In order to enhance the stability of all operating states, it is necessary to design the proportional and integral parameters of the LLC resonant conversion circuit, which severely limits the dynamic performance of the LLC resonant conversion circuit. In order to overcome the drawbacks of the conventional technologies, it is important to provide an improved control method for a resonant conversion circuit. SUMMARY In accordance with an aspect of present disclosure, a control method for a resonant conversion circuit is provided. The resonant conversion circuit includes a switching circuit, a resonant network and a rectifier circuit. The resonant network is connected with the switching circuit. The rectifier circuit is coupled with the resonant network. The resonant network includes a resonant capacitor and a resonant inductor. The control method includes the following steps. In a step (S0), a starting point of an operating trajectory is determined according to a sampling data at a first switching time point, wherein the operating trajectory includes N trajectory segments, and N is a positive integer. Then, a step (S1) is performed to determine an initial operating mode of the resonant conversion circuit according to a starting point of a first trajectory segment of the N trajectory segments. The starting point of the first trajectory segment is a starting point of the operating trajectory. In a step (S2), the first trajectory segment is set as a current trajectory segment, and the initial operating mode is set as a current operating mode. In a step (S3), a curve of the current trajectory segment and an end point of the current trajectory segment are predicted according to the current operating mode. In a step (S4), a time duration of the current trajectory segment is calculated. Then, a step (S5) is performed to determine whether the end point of the current trajectory segment is an instruction point complying with a control instruction. If a determining condition of the step (S5) is not satisfied, a step (S6) is performed. If the determining condition of the step (S5) is satisfied, a step (S10) is performed. In the step (S6), the end point of the current trajectory segment is set as a starting point of a next trajectory segment. Then, in a step (S7), a next operating mode of the resonant conversion circuit is determined according to the starting point of the next trajectory segment. In a step (S8), the next trajectory segment is set as the current trajectory segment, and the next operating mode is set as the current operating mode. In a step (S9), the step (S3) is performed again. In the step (S10), the instruction point is set as an end point of the operating trajectory, and an execution time from the starting point of the operating trajectory to the end point of the operating trajectory is calculated. In a step (S11), a second switching time point is determined according to the execution time. The above contents of the present disclosure will become more readily apparent to those ordinarily ski