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We are developing a tungsten transition edge sensor (W-TES) for x-ray imaging spectroscopy applications. The conventional readout scheme for TES array has a great difficulty in reading out multi-channel x-ray signals. Therefore we have considered a new readout scheme for a W-TES array. This scheme is based on a cooling time measurement in a saturation mode. In this scheme, we only need time information, therefore we can expect to simplify a readout system. Although the currently achieved energy resolution of our W-TES (0.5mm x 0.5mm) using the cooling time measurement is 55eV (FWHM) at 5.9keV, much higher energy resolution is expected by making smaller devices. [ABSTRACT FROM AUTHOR]