[PERSON] and [PERSON] [30], based on [28], presented a procedure to compensate for only the reactive power through passive compensating circuits, both in star and delta connections. This system applied three wires and multi-phase to unbalanced three-phase systems. [PERSON] and [PERSON] [31], based on [32], broke down an unbalanced load into several equivalent circuits, which represented active, reactive, and unbalanced power. Except for active power, all other equivalent circuits were configured from reactive elements (coils and/or capacitors). They used the circuits opposite to the equivalents obtained as compensators of the unbalanced power and positive-sequence reactive power. They considered the voltages to be balanced, and the charges to be known. Finally, [PERSON] and [PERSON] [33] extended the previous studies [26; 27] to four-wire systems and showed that the unbalanced power, in these systems, is formed by a negative- and a zero-sequence current. To compensate for the two currents, it is necessary to use at least two compensators. This conclusion was also considered in [31] and shared by us as well. As in most previous studies, it applies to systems with balanced voltages. Besides the advantages and disadvantages of the studies analyzed above, they all have something in common: they are only applicable to systems with balanced voltages. With unbalanced voltages, their behaviour is not adequate, especially in electrical systems of infinite power, where the network imposes voltages. This paper proposes a new procedure for calculating the compensation of a three-phase three-wire linear system connected to an infinite power network. For non-infinite power networks, the procedure is perfectly valid. Through two passive star-connected compensators, configured only with reactive elements (coils and capacitors), the positive-sequence reactive power and unbalanced power, resulting from the negative-sequence current, are compensated. Using star-delta transformations, these phenomena are unified into a single delta-connected compensator. A significant advantage of the proposed method is its application to systems with unbalanced voltages, and that it is not necessary to know the load values. It simply requires the use of line-to-line voltages and line currents that can be easily measured on the bus. The proposed method is valid for any voltage level. However, in this work, we have considered low voltage networks where imbalances are most important. For this purpose, in Section 2, the balance of powers involved in such systems is identified, and its effects are analyzed. The expression of Buchholz apparent power, expressed in values of symmetric voltage and current components, is used. This relation between powers and their expressions of calculation form the basis of our method. In Section 3, through application to a three-phase three-wire system with unbalanced loads and balanced line-to-line voltages, the new method of calculating the compensators is proposed. Separating the two compensation lines, one compensator is used to compensate for the positive-sequence reactive power and another for the unbalanced power resulting from the negative-sequence current, both in star connection. In Section 4, the design of both compensators is adapted to three-phase three-wire systems with unbalanced voltages that are connected to an infinite power network, whose voltages are imposed by the network itself. Its design analyses the interactions occurring in these compensators when connected to a system with these characteristics. In Section 5, the two compensators are unified into one with a delta connection. In Section 6, a three-phase three-wire system connected to an infinite power network with unbalanced loads and voltages is used to facilitate and verify the proposed method. Finally, Section 7 presents the conclusions of this study.