Transformer

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of four reactance elements are X1, X2, X3, and X4, the two-terminal pair circuit is composed of, starting from an input side, X1 present between two lines of the two-terminal pair circuit, X2 present on one line thereof, X3 present between the two lines, and X4 present on the one line, and the following condition is satisfied:
• X1+X2+X3=0∧(1/X2)+(1/X3)+(1/X4)=0.

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of four reactance elements are X1, X2, X3, and X4, the two-terminal pair circuit is composed of:
• starting from an input side, a T-shaped circuit formed by X1 present on one line of the two-terminal pair circuit, X2 present between two lines thereof, and X3 present on the one line;
• and X4 present in parallel with a series unit of X1 and X3, and the following condition is satisfied:
• X1+X3+X4=0∧(1/X1)+(1/X2)+(1/X3)=0.

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of four reactance elements are X1, X2, X3, and X4, the two-terminal pair circuit is composed of, starting from an input side, a first series unit of X1 and X2 present between two lines of the two-terminal pair circuit, and a second series unit of X3 and X4 present between the two lines, such that a mutual connection point in the first series unit and a mutual connection point in the second series unit are output terminals, and the following condition is satisfied:
• X1+X2+X3+X4=0∧(1/X1)+(1/X2)+(1/X3)+(1/X4)=0.

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of five reactance elements are XA, XB, XC, XD, and XE, the two-terminal pair circuit is composed of, starting from an input side, XA present on one line of the two-terminal pair circuit, XB present between two lines thereof, XC present on the one line, XD present between the two lines, and XE present on the one line, and the following relationship is satisfied:
• XA=−XB∧XE=−XD∧XC=XA+XE.

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of five reactance elements are XA, XB, XC, XD, and XE, the two-terminal pair circuit is composed of, starting from an input side, XA present between two lines of the two-terminal pair circuit, XB present on one line thereof, XC present between the two lines, XD present on the one line, and XE present between the two lines, and the following relationship is satisfied:
• XA=−XB∧XE=−XD∧XC=XA·XE/(XA+XE).

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of six reactance elements are XA, XB, XC, XD, XE, and XF, the two-terminal pair circuit is composed of, starting from an input side, XA present on one line of the two-terminal pair circuit, XB present between two lines thereof, XC present on the one line, XD present between the two lines, XE present on the one line, and XF present between the two lines, and the following relationship is satisfied:
• XA=XC=−XB∧XD=XF=−XE.

A transformer provided between a power supply, and a load with a resistance value R, the transformer comprising:

• a two-terminal pair circuit composed of n-number of reactance elements that are mutually connected, where n is a natural number equal to or greater than 4,
• wherein, with respect to any value of the resistance value R of the load, an input impedance Zin of the two-terminal pair circuit has a real number component of k·R, where k is a constant, and an imaginary number component of 0,
• wherein, in the case where reactances of six reactance elements are XA, XB, XC, XD, XE, and XF, the two-terminal pair circuit is composed of, starting from an input side, XA present between two lines of the two-terminal pair circuit, XB present on one line thereof, XC present between the two lines, XD present on the one line, XE present between the two lines, and XF present on the one line, and the following relationship is satisfied:
• XA=XC=−XB∧XD=XF=−XE.