Sudan Engineering Society JOURNAL , January 2006, Volume 52 No.45 57 Voltage Constraints fo r the Maximum Power Transfer Theorem & Brainerd’s Resonance Voltage Impedance Condition

Sudan Engineering Society,JOURNAL,January 2006, Volume52 No.45,pages 57to 61.It is shown that Brainerd’s resonance voltage impedance rela tion and the well-known maximum power transfer impedance conditions of conjugate matching are two states of unstable equilibrium with the terminal voltages of a matched linear transducer circuit directly related to that of Braine rd’s. The relationship is based on stability indices derived from internal impedance an d voltage constraints with the result that additional singularity states th at may apply to radial pow er and communication links and for which no reference can be found in the literature are observed. These include the conditions for maximum source voltage; voltage profiles with inter-nodal constraints and the source and load voltage magnitudes evolving in states of zero load powers and a maximum of the ma ximums of transmitted powers