A bandgap reference circuit includes a ΔVbe/R circuit portion and an amplification circuit portion. The ΔVbe/R circuit portion has a first and second current path from first and second terminals through first and second bipolar transistors, respectively. The first and second bipolar transistors have different emitter areas and the second path has a resistor. The amplification circuit portion provides a current to each of the first and second terminals of the ΔVbe/R circuit portion and changes the current in response to a voltage difference between the first and second terminals of the ΔVbe/R circuit portion. The ΔVbe/R circuit portion also has first and second base resistors connected to bases of the first and second bipolar transistors, respectively.

A hybrid transformer is provided that includes an electromagnetic transformer and an AC-AC converter with a DC bridge. The AC-AC converter is operable to keep the input voltage and current of the hybrid transformer substantially in phase and to reduce fluctuation in the output voltage of the hybrid transformer in the event of an increase or decrease in the input voltage.

A constant voltage circuit amplifies an error between a reference voltage and an output voltage by an operational amplifier, and controls a load current based on the amplified voltage so that the output voltage becomes a constant voltage. The constant voltage circuit includes voltage detector means that detects only AC components of the output voltage limited to a predetermined band and outputs a detected voltage; voltage amplifier means that amplifies AC components of the detected voltage and outputs an amplified voltage; judgment means that outputs a judgment signal indicating whether or not the amplified voltage equal to or larger than a predetermined threshold; and controller means configured to increase a current value of the constant current source included in the operational amplifier, based on the judgment signal, thereby temporarily increasing a current consumption of the operational amplifier.

A constant voltage circuit amplifies an error between a reference voltage and an output voltage by an operational amplifier, and controls a load current based on the amplified voltage so that the output voltage becomes a constant voltage. The constant voltage circuit includes voltage detector means that detects only AC components of the output voltage limited to a predetermined band and outputs a detected voltage; voltage amplifier means that amplifies AC components of the detected voltage and outputs an amplified voltage; judgment means that outputs a judgment signal indicating whether or not the amplified voltage equal to or larger than a predetermined threshold; and controller means configured to increase a current value of the constant current source included in the operational amplifier, based on the judgment signal, thereby temporarily increasing a current consumption of the operational amplifier.

A cascading tap changing regulator has a set of input taps to power both stages of the cascade, each stage having its own series injection transformer to regulate the output. A set of switches are selectively engagable in respective on-off modes to effect a number of regulation steps, and a ratio of the number of steps to the number of switches in the set is greater than 1:1.

A cascading tap changing regulator has a set of input taps to power both stages of the cascade, each stage having its own series injection transformer to regulate the output. A set of switches are selectively engagable in respective on-off modes to effect a number of regulation steps, and a ratio of the number of steps to the number of switches in the set is greater than 1:1.

One or more systems and methods according to the present disclosure may apply a model for integrating distribution systems having proliferated distributed energy resources into the independent system operator energy market, particularly when one or more distribution systems are connected to a transmission system via multiple interconnection buses. Additionally, systems and methods for applying a compact multi-port model for power exchanges and associated bidding strategies are described. A the multi-port power exchange model may be constructed based on the operational feasible region of a distribution system; describing physical operation characteristics of distributed energy resources, flexible loads, and the distribution network; and the bidding strategy model may describe total operating cost of the distribution system, while recognizing electrically coupled injections of multiple interconnection buses.

One or more systems and methods according to the present disclosure may apply a model for integrating distribution systems having proliferated distributed energy resources into the independent system operator energy market, particularly when one or more distribution systems are connected to a transmission system via multiple interconnection buses. Additionally, systems and methods for applying a compact multi-port model for power exchanges and associated bidding strategies are described. A the multi-port power exchange model may be constructed based on the operational feasible region of a distribution system; describing physical operation characteristics of distributed energy resources, flexible loads, and the distribution network; and the bidding strategy model may describe total operating cost of the distribution system, while recognizing electrically coupled injections of multiple interconnection buses.

An intelligent current control apparatus provides a current control for a power supply branch and a load. The intelligent current control apparatus includes at least one power conversion unit and a control unit. The control unit controls a total phase current, which is composed of a single-phase current and a household phase current in the same phase, to be less than or equal to a rated phase current of the power supply branch.

An intelligent current control apparatus provides a current control for a power supply branch and a load. The intelligent current control apparatus includes at least one power conversion unit and a control unit. The control unit controls a total phase current, which is composed of a single-phase current and a household phase current in the same phase, to be less than or equal to a rated phase current of the power supply branch.