You need to have a properly qualified person look at your power circuit to see whether it is installed as a ring main or not. If it is, using the normal 2.5mm squared conductor cable, 30 amps (A) maximum can be drawn through it, so the MCB (miniature circuit-breaker ) can be uprated to 30A, but this work is Part P modifiable under Building Regs, so you will have to have an electrician do this work.
If the circuit is radial, only 15A can be drawn through the single conductor so you won't be able to have the circuit uprated to 30A at the Consumer Unit without some additional cabling being installed.
It is ridiculous that any modern house was designed with only 15A capability from the power sockets, so no wonder the breaker is tripping regularly from your regular domestic power consumption.
Dizmos advice is generally good but contains a glaring mistake in his first post that needs correcting. Modern ring mains circuits may additionally be protected by a 30 milliamp (mA) RCD. This is an additional protection device to the MCBs, which your installation does not have (from what you say), that detects earth leakage and breaks when the leakage current exceeds 30mA (not amps). It is not an overcurrent detection tripping breaker (MCB) and assists in preventing electric shock from faulty appliances.
1000mA equals 1 amp.