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We performed an in-depth numerical analysis of high inductance bi-SQUIDs with normalized inductance of its one-junction loop l >> 1. This is desired for better coupling with the external signals and for the high temperature superconductor implementations. Typically the high linearity (up to 90 dB) can be achieved in bi-SQUIDs at l ≤ 1 at which its flux-to–voltage characteristic has a distinct triangular shape. We showed that the high linearity can be also achieved at l > 1, when bi-SQUID has a hysteretic response. The critical current of the third Josephson junction is to be of the same order as the one of the other two Josephson junctions, and inductance lDC of the second (two-junction) loop is allowed to be as high as about l/4 in the presence of the high linearity.