Abstract
Besides of fractionally linear expressions of two-port circuits, there are quadratic fractional ones for some parameters as cubic curves. A load power and efficiency via the load resistance are examples of these curves. Cross-ratios are carried out in a limited unambiguous or single-valued working area of these characteristics too. Such well-founded introduction of regime parameter shows that the form of expressions for the subsequent values depends on a type of the regime. Therefore, there will also be not correctly the introduction of formal increments, divisions. Changes of regime parameters are proved, and direct formulas of recalculation are proposed. The obtained results have a practical interest to the recalculation of a capacitor store voltage and power using the input current samples.
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References
Alexander, C.K., Sadiku, M.N.O.: Fundamentals of Electric Circuits, 5th edn. McGraw-Hill, New York (2013)
Bhattacharyya, S.P., Keel, L.H., Mohsenizadeh, D.N.: Linear Systems: A Measurement Based Approach. Springer, India (2014)
Chatzarakis, G.E., et al.: Power transfer to a load: a new teaching approach. Int. J. Electr. Eng. Educ. 42(3), 280–292 (2005)
Frank, J.: Schaum’s Outline of Theory and Problems of Projective Geometry. McGraw-Hill, New York (1967)
Irwin, J.D., Nelms, R.M.: Basic Engineering Circuit Analysis, 10th edn. Wiley, Hoboken, NJ (2011)
Nelatury, S.R.: Didactic uses of maximum power transfer theorem and guided problem solving. Int. J. Electr. Eng. Educ. 51(3), 245–261 (2014)
Penin, A.: Invariants of the parameters of invariable power sources. Electrichestvo 12, 52–62 (2018)
Penin, A., Sidorenko, A.: Transmission of measuring signals and power supply of remote sensors. In: Bonca, J., Kruchinin, S. (eds.) Nanotechnology in the Security Systems. NATO Science for Peace and Security Series C: Environmental Security, pp. 267–281. Springer, Dordrecht (2014)
Penin, A., Sidorenko, A.: Invariants of energy characteristics of two-ports with variable loads. Moldavian J. Phys. Sci. 18(1–2), 130–143 (2019)
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Penin, A. (2020). Invariant Energy Characteristics for Limited Single-Valued Working Area of Two-Ports. In: Analysis of Electrical Circuits with Variable Load Regime Parameters. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-35366-7_5
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DOI: https://doi.org/10.1007/978-3-030-35366-7_5
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