Apparatuses and techniques are described for programming phase change memory cells while avoiding a clamp condition in transistors which are used for biasing a word line and bit line when the word line and bit line are unselected for a write operation. The transistors may be connected in parallel with the word line and bit line. During a write operation, a current source is connected to a selected word line and a voltage control circuit is connected to the selected bit line. The voltage control circuit can include a capacitor or a voltage driver, for example. The capacitor accumulates charge, or the voltage driver applies an increasing ramp voltage to the bit line, to increase the voltage of the bit line and word line during the write operation and to avoid the clamp condition.