This paper addresses a timing generator with an output inversely proportional to a binary input without involving cost/area intensive digital division hardware or DSP processor based solution. The timing generation is based on interpreting a binary input as a floating point number (step value) and successively accumulating it to a predefined count. A unique scaling process generates the step value required for accumulation from the binary input and also alleviates the requirement for a high clock frequency. The functionality of the proposed architecture was experimentally verified with implementation on an ALTERA CPLD EPF10K70 clocked at 25.175MHz. The dynamic range extends from 355ns to 17μs.

The proposed generalized Falk (GF) method offers an extremely simple and convenient way to solve coupled circuit-field problems in circuit simulators by transforming the discretized governing-field equations into guaranteed stable-and-passive one-dimensional (1D) equivalent-circuit systems, which are then combined with the circuit part of the overall coupled problem. More efficient than the traditional Lanczos-type methods, the GF method transforms a general finite-element system represented by a system of full matrices into an identity capacitance (mass) matrix and a tridiagonal conductance (stiffness) matrix. No positive poles are produced; all transformed matrices remain positive definite. The resulting 1D equivalent-circuit system contains only resistors, capacitors, inductors, and current sources. Several numerical examples are provided.

A graphical complex transformation technique is described for the analysis of balanced three-phase converters in the rotation reference frame. The technique avoids the cumbersome matrix manipulation of the equation form of the complex transformation, and the coupling between the subcircuits resulting from the real (dq) transformation. It uses symmetric and decoupled equivalent circuits to graphically analyze three-phase converters, thus greatly simplifying the analysis procedure. All three-phase circuit components are modeled in the transformed coordinates, where all circuit parameters are constant under steady state. The application of the technique is demonstrated for the boost inverter.