Extended Darlington Synthesis of Fractional Order Immittance Function With Two Element Orders

Abstract

Actual circuits have fractional order characteristics essentially. With the widespread application of fractional order circuits and the great strides in the manufacturing of fractional order elements in recent years, passive synthesis of fractional order circuit becomes an important research content. In this paper, classical Darlington's synthesis is extended to the two-variable case. Based on two-variable Darlington's synthesis and variable substitution, synthesis of fractional order immittance function with two element orders is proposed. Finally, an example is given to illustrate the calculation process.

Keywords

• Fractional order
• passive circuit
• network synthesis
• circuit theory