Heat exchange system, with - at least two heat exchange chambers (11, 12), - each of the heat exchange chambers (11, 12) comprises heat exchange chamber boundaries which surround at least one heat exchange chamber interior of the heat exchange chamber (11, 12), wherein - the heat exchange chamber boundaries comprise at least one first opening for guiding in of an inflow of at least one heat transfer fluid into the heat exchange chamber interior and at least one second opening for guiding out of an outflow of the heat transfer fluid out of the heat exchange chamber interior; - at least one heat storage material is arranged in the heat exchange chamber interior such that a heat exchange flow of the heat transfer fluid through the heat exchange chamber interior causes a heat exchange between the heat storage material and the heat transfer fluid; and wherein - the heat exchange chambers (11, 12) are arranged such that the inflow of the heat transfer fluid into the heat exchange chamber interior of one of the heat exchange chambers (11, 12) comprises the outflow of the heat transfer fluid out of the heat exchange chamber interior of the other heat exchange chamber (12, 11); - wherein one of the heat exchange chambers (11, 12) is a main heat exchange chamber of the heat exchange system and one of the heat exchange chambers (12, 11) is a subsidiary heat exchange chamber; - wherein the heat exchange chamber interiors of the heat exchange chambers (11, 12) are serially connected together; - wherein the heat exchange chamber interiors of the heat exchange chambers (11, 12) are conjunct together with the aid of at least one conjunction element for guiding of the heat transfer fluid; characterised in that - the conjunction element comprises at least one ducting element and at least one switching element; - the switching element comprises at least one first passive fluid control device for adjusting the inflow of the heat transfer fluid into the heat exchange chamber interior of one of the heat exchange chambers and at least one second passive fluid control device for adjusting the outflow of the heat transfer fluid out of the heat exchange chamber interior of the one of the heat exchange chambers; and - the ducting element comprises at least one bypass pipe for connecting the first passive fluid control device and the second fluid control device such that heat transfer fluid can be guided through the bypass pipe from the first passive fluid control device to the second fluid control device by bypassing the heat exchange chamber interior of the one of the heat exchange chambers and a bypass flow of the heat transfer fluid through the bypass pipe and the outflow of the one of the heat exchange chambers can be mixed together. - at least two heat exchange chambers (11, 12), - each of the heat exchange chambers (11, 12) comprises heat exchange chamber boundaries which surround at least one heat exchange chamber interior of the heat exchange chamber (11, 12), wherein - the heat exchange chamber boundaries comprise at least one first opening for guiding in of an inflow of at least one heat transfer fluid into the heat exchange chamber interior and at least one second opening for guiding out of an outflow of the heat transfer fluid out of the heat exchange chamber interior; - at least one heat storage material is arranged in the heat exchange chamber interior such that a heat exchange flow of the heat transfer fluid through the heat exchange chamber interior causes a heat exchange between the heat storage material and the heat transfer fluid; and wherein - the heat exchange chambers (11, 12) are arranged such that the inflow of the heat transfer fluid into the heat exchange chamber interior of one of the heat exchange chambers (11, 12) comprises the outflow of the heat transfer fluid out of the heat exchange chamber interior of the other heat exchange chamber (12, 11); - wherein one of the heat exchange chambers (11, 12) is a main heat exchange chamber of the heat exchange system and one of the heat exchange chambers (12, 11) is a subsidiary heat exchange chamber; - wherein the heat exchange chamber interiors of the heat exchange chambers (11, 12) are serially connected together; - wherein the heat exchange chamber interiors of the heat exchange chambers (11, 12) are conjunct together with the aid of at least one conjunction element for guiding of the heat transfer fluid; - the conjunction element comprises at least one ducting element and at least one switching element; - the switching element comprises at least one first passive fluid control device for adjusting the inflow of the heat transfer fluid into the heat exchange chamber interior of one of the heat exchange chambers and at least one second passive fluid control device for adjusting the outflow of the heat transfer fluid out of the heat exchange chamber interior of the one of the heat exchange chambers; and - the ducting element comprises at least one bypass pipe for connecting the first passive fluid control device and the second fluid control device such that heat transfer fluid can be guided through the bypass pipe from the first passive fluid control device to the second fluid control device by bypassing the heat exchange chamber interior of the one of the heat exchange chambers and a bypass flow of the heat transfer fluid through the bypass pipe and the outflow of the one of the heat exchange chambers can be mixed together.