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We present study of microwave dynamics of Superconducting Quantum Cell (SQC) and Arrays (SQA) in microwave electromagnetic field performed by means of 3D numerical simulations. The simulations are done for the intended realization of SQA-based active electrically small antennas (ESAs). A prototype of the transformer-less ESA based on SQA with nonsuperconducting connections of the quantum cells was fabricated using HYPRES niobium process with critical current density 4.5 kA/cm2. The measured characteristics of the antenna prototype under microwave electromagnetic signal irradiation is presented and analyzed. Further improvements of the active antenna design are suggested and discussed.