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Bidirectional DC-DC converter controller

Other Parts Discussed in Thread: LM5170, LM5170EVM-BIDIR, LM5170-Q1

Looking for a bidirectional converter for a hybrid (battery & supercapacitor) system, where battery will deliver required power to a load upto certain limit. Any required power in excess of that will be delivered by supercapacitor. In buck mode (for charging supercapacitor from battery) it should have input voltage of 22 to 28 Volt and output voltage of 16.2 Volt. In boost mode (super capacitor giving the excess required power to load), the input voltage should be between 10 volt to 16 volt and the output voltage should be variable between 22 to 28 Volt depending upon the battery terminal voltage at that moment. The discharging current of super capacitor will be around 10 times higher than charging current. Please suggest suitable controller for the application.