**A demonstration of filter inductor design for boost converters, design of the coupled inductor for a two-output forward converter, and the design of flyback transformer in continuous conduction mode.**

**Figure 1. B-H Loop for Filter Inductor**

**Figure 2. B-H loop for the Conventional Transformer**

**Design of an Inductor for Boost Converter**

**Figure 3. Circuit of Boost Converter**

_{SAT}(b) keep the temperature of the inductor within limit. We also want the inductor current ripples to be equal to the ∈ part of the inductor current.(Ripples in the Inductor << Inductor Current)

_{S}, V

_{O}, f, P

_{O}

_{S}= Input Voltage

_{O}= Output Voltage

_{O}= Output power in kW

**Figure 4. Supply Current, Diode Current, Inductor Current and Inductor Voltage respectively (Boost Converter)**

_{C}according to the type of conductor (round wire or litz wire). Now, we have all the input parameters in designing an inductor. We can determine the core parameters A

_{C'}, A

_{W}, and l

_{meanT}using the constraint equations below.

**Design of a Coupled Inductor for a Two-Output Forward Converter**

**Figure 5. Coupled Inductor**

_{1}and L

_{2}must be same to maintain the volt-time balance condition. Magnetizing field is produced by the sum of the currents i.e. i

_{1}+i

_{2}which flows through the core. Leakage field is produced by the difference of the currents i.e. i

_{1}-i

_{2}which flows through air. The circuit diagram for the two-output forward converter using coupled inductor is given below.

**Figure 6. Circuit for the Two-Output Forward Converter**

_{1}and L

_{2}in parallel. For differential mode, coupled inductors act like a transformer. There is a considerable DC component in the current flowing through L

_{1}and L

_{2}which causes the net magnetization of the core.

**Design of a Flyback Transformer in CCM**

_{m}for the transformer and is usually significant in the case of the discontinuous conduction mode.

_{o}' is the sum of the voltages across the load, switch, rectifier and copper loss referred to the secondary side. We even need to see the duty ratio for the worst-case current of the DC and AC components. Duty cycle and turns ratio can be possibly altered to optimize the design. We can select the particular material according to the proper specifications with the help of the data sheet.

**Figure 7. Circuit for Flyback Converter**

_{sc}is the short-circuit current which produces the maximum flux density.

**Figure 8. Waveforms of Input Voltage, Output Voltage, Magnetizing Current, and Diode Current for the Flyback Converter**