In this paper, a new method of synthesis-we call it “Compensation formulas method”-of automatic control systems, is described. According to this method, we can find the most suitable compensating circuit, as to make an automatic control systems to have a pair of desired characteristic roots, by use of a “Compensation limit diagram”. While, the constants of the above circuit can be determined by means of the “Compensation formulas”. Here, the “Compensation limit diagram” is a comparatively simple diagram drawn by straight lines and parts of circles, and the “Compensation formulas are formulas expressed by trigonometric functions”. Also, we may perform parallel compensations as well as series compensations by this method simply and exactly. The contents of this paper, are as follows.(1) The plinciple of this method.(2) Compensation formulas obtained with a lead circuit and a lag circuit.(3) Application of this method to determine the contents of lead-lag circuit.(4) Illustration of compensation limit diagram.(5) Consideration and selection of characteristic roots and compensating circuit.(6) Synthesis of parallel compensation.
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