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Published byΖώσιμη Βιτάλη Modified over 6 years ago
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General Solution for the Steady-State Characteristics of the Series Resonant Converter
Type k CCM Mode index k and subharmonic number
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General Solution for the Steady-State Characteristics of the Series Resonant Converter
Type k CCM
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Type k CCM Steady-State Solution
Elliptical output characteristic with Control plane characteristic
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Normalization with transformers
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Type k CCM Waveforms Switch network output voltage
Tank inductor current, odd k (ZCS) Tank inductor current, even k (ZVS)
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Type k DCM Tank inductor current, odd k Tank inductor current, even k
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Type k DCM Steady State Solution and Mode Boundaries
Type k DCM, odd k Output voltage Mode boundaries and Type k DCM, even k Output current Mode boundaries and
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Type k DCM Output plane Equivalent model odd k even k
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CCM and DCM Boundaries
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Complete SRC Characteristics Control Plane
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SCR Output Characteristics Above Resonance
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SRC Output Characteristics Selected Modes Below Resonance
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The Parallel Resonant Converter
Basic state plane analysis The discontinuous conduction mode (DCVM) Summary of converter characteristics Design methodologies
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DC-DC Parallel Resonant Converter
During each interval, the tank circuit reduces to
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State plane trajectory
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Averaging and flux linkage arguments
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Averaging and flux linkage arguments
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Steady-state solution
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Steady state solution of state plane 1. Find expr
Steady state solution of state plane 1. Find expr. for radii in subintervals 2 and 3 (Define angles ζ and ξ)
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Steady state solution of state plane 2a. Find expr
Steady state solution of state plane 2a. Find expr. for jL at end of subinterval 2 (ω0t = γ)
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Steady state solution of state plane 2b. Find expr
Steady state solution of state plane 2b. Find expr. for jL at start of subinterval 3 (ω0t = γ)
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Steady state solution of state plane 2c. Equate expr
Steady state solution of state plane 2c. Equate expr. for jL at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)
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Steady state solution of state plane 3a. Find expr
Steady state solution of state plane 3a. Find expr. for mc at end of subinterval 2 (ω0t = γ)
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Steady state solution of state plane 3b. Find expr
Steady state solution of state plane 3b. Find expr. for mc at start of subinterval 3 (ω0t = γ)
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Steady state solution of state plane 3c. Equate expr
Steady state solution of state plane 3c. Equate expr. for mc at end of subinterval 2 and (ω0t = γ) start of subinterval 3 (ω0t = γ)
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Steady state solution of state plane 4. Find expr
Steady state solution of state plane 4. Find expr. for φ using jL and mc boundary matching conditions
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Steady state solution of state plane 5
Steady state solution of state plane 5. Solve for JL1 and then M in terms of φ
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Steady state solution of state plane 6
Steady state solution of state plane 6. Two possible trajectories for given M and J
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Two possible trajectories for given M and J
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Two possible trajectories for given M and J
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CCM output plane characteristics
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