Abstract
This chapter presents and describes the operation of the Series Resonant Converter (SRC) operating above the resonant frequency. After the presentation of the power converter topology, the qualitative analysis is presented, which includes the description of operation, topological states for each time interval and relevant waveforms. Closed-form solutions for the output characteristics are derived, using the state-plane trajectory analysis technique. Simplified analysis utilizing the first harmonic approximation technique is also included. Solved problem is used to illustrate the theoretical analysis, along with numerical simulation. Proposed problems with answers are included at the end of the chapter.
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Abbreviations
- Vi:
-
Input DC voltage
- Vo:
-
Output DC voltage
- Po:
-
Output power
- Co:
-
Output filter capacitor
- Ro:
-
Output load resistor
- q and qCo:
-
Static gain
- fs:
-
Switching frequency [Hz]
- ωs:
-
Switching frequency [rad/s]
- fs max:
-
Maximum switching frequency
- fs min:
-
Minimum switching frequency
- Ts:
-
Switching period
- fo:
-
Resonant frequency [Hz]
- ωo:
-
Resonant frequency [rad/s]
- μo:
-
Frequency ratio
- z:
-
Characteristic impedance
- td:
-
Dead time
- T:
-
Transformer
- n:
-
Transformer turns ratio
- N1 and N2:
-
Transformer windings
- \( {\text{V}}_{\text{o}}^{\prime } \) :
-
Output DC voltage referred to the transformer primary side
- io:
-
Output current
- \( {\text{i}}_{\text{o}}^{\prime } \) :
-
Output current referred to the transformer primary side
- \( {\text{I}}_{\text{o}}^{\prime } \) \( \left( {\overline{{{\text{I}}_{\text{o}}^{\prime } }} } \right) \) :
-
Average output current referred to the transformer primary and its normalized value
- S1, S2, S3 and S4:
-
Switches
- D1, D2, D3 and D4:
-
Diodes
- C1, C2, C3 and C4:
-
Capacitors
- Cr:
-
Resonant capacitor
- vCr:
-
Resonant capacitor voltage
- VCo:
-
Resonant capacitor peak voltage
- VC1:
-
Resonant capacitor voltage at the end of time interval 1 and three
- Q:
-
Resonant capacitor charge
- Lr:
-
Resonant inductor (may include the transformer leakage inductance)
- iLr:
-
Resonant inductor current
- ILr:
-
Inductor fundamental peak current
- I1 \( \left( {\overline{{{\text{I}}_{1} }} } \right) \):
-
Inductor current at the end of the first and fourth step of operation and its normalized value
- vab:
-
AC voltage, between points “a” and “b”
- vcb:
-
AC voltage, between points “c” and “b”
- vab1:
-
Fundamental AC voltage, between points “a” and “b”
- vcb1:
-
Fundamental AC voltage, between points “c” and “b”
- vS1 and vS2:
-
Voltage across switches S1 and S2
- vg1 and vg2:
-
Switches drive signals
- iS1 and iS2:
-
Current in the switches S1 and S2
- iC1 and iC2:
-
Capacitors current
- xLr, xCR and x:
-
Reactance
- R1, R2:
-
State plane radius
- γ, β, θ:
-
State plane angles
- ∆t1:
-
Time interval of the first step of operation in (t1–t0)
- ∆t2:
-
Time interval of the second step of operation (t2–t1)
- ∆t3:
-
Time interval of the third step of operation (t3–t2)
- ∆t4:
-
Time interval of the fourth step of operation (t4–t3)
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Barbi, I., Pöttker, F. (2019). Series Resonant Converter Operating Above the Resonant Frequency. In: Soft Commutation Isolated DC-DC Converters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-96178-1_5
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DOI: https://doi.org/10.1007/978-3-319-96178-1_5
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-96178-1
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